137399092413120
137,399,092,413,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 137399092413120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1792 divisors.
137399092413120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 137399092413120:
26 × 37 × 5 × 31 × 473 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 47 × 47 × 47 × 61)See below for interesting mathematical facts about the number 137399092413120 from the Numbermatics database.
Names of 137399092413120
- Cardinal: 137399092413120 can be written as One hundred thirty-seven trillion, three hundred ninety-nine billion, ninety-two million, four hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3739909241312 × 1014
Factors of 137399092413120
Divisors of 137399092413120
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 47 48 54 60 61 62 64 72 80 81 90 93 94 96 108 120 122 124 135 141 144 155 160 162 180 183 186 188 192 216 235 240 243 244 248 270 279 282 288 305 310 320 324 360 366 372 376 405 423 432 465 470 480 486 488 496 540 549 558 564 576 610 620 648 705 720 729 732 744 752 810 837 846 864 915 930 940 960 972 976 992 1080 1098 1116 1128 1215 1220 1240 1269 1296 1395 1410 1440 1457 1458 1464 1488 1504 1620 1647 1674 1692 1728 1830 1860 1880 1891 1944 1952 1984 2115 2160 2187 2196 2209 2232 2256 2430 2440 2480 2511 2538 2592 2745 2790 2820 2867 2880 2914 2916 2928 2976 3008 3240 3294 3348 3384 3645 3660 3720 3760 3782 3807 3888 3904 4185 4230 4320 4371 4374 4392 4418 4464 4512 4860 4880 4941 4960 5022 5076 5184 5490 5580 5640 5673 5734 5828 5832 5856 5952 6345 6480 6588 6627 6696 6768 7285 7290 7320 7440 7520 7533 7564 7614 7776 8235 8370 8460 8601 8640 8742 8748 8784 8836 8928 9024 9455 9720 9760 9882 9920 10044 10152 10935 10980 11045 11160 11280 11346 11421 11468 11656 11664 11712 12555 12690 12960 13113 13176 13254 13392 13536 14335 14570 14580 14640 14823 14880 15040 15066 15128 15228 15552 16470 16740 16920 17019 17202 17484 17496 17568 17672 17856 18910 19035 19440 19520 19764 19881 20088 20304 21855 21870 21960 22090 22320 22560 22599 22692 22842 22936 23312 23328 24705 25110 25380 25803 25920 26226 26352 26508 26784 27072 28365 28670 29140 29160 29280 29646 29760 30132 30256 30456 32940 33135 33480 33840 34038 34263 34404 34968 34992 35136 35344 37665 37820 38070 38880 39339 39528 39762 40176 40608 43005 43710 43740 43920 44180 44469 44640 45120 45198 45384 45684 45872 46624 46656 49410 50220 50760 51057 51606 52452 52704 53016 53568 56730 57105 57340 58280 58320 58560 59292 59643 60264 60512 60912 65565 65880 66270 66960 67680 67797 68076 68479 68526 68808 69936 69984 70688 74115 75330 75640 76140 77409 77760 78678 79056 79524 80352 81216 85095 86010 87420 87480 87840 88360 88877 88938 89280 90396 90768 91368 91744 93248 98820 99405 100440 101520 102114 102789 103212 103823 104904 105408 106032 112995 113460 114210 114680 116560 116640 118017 118584 119286 120528 121024 121824 129015 131130 131760 132540 133407 133920 134749 135360 135594 136152 136958 137052 137616 139872 139968 141376 148230 150660 151280 152280 153171 154818 157356 158112 159048 160704 170190 171315 172020 174840 174960 175680 176720 177754 177876 178929 180792 181536 182736 183488 196695 197640 198810 200880 203040 204228 205437 205578 206424 207646 209808 212064 222345 225990 226920 228420 229360 232227 233120 233280 236034 237168 238572 241056 243648 255285 258030 262260 263520 265080 266631 266814 267840 269498 271188 272304 273916 274104 275232 279744 296460 298215 301320 302560 304560 306342 309636 311469 314712 316224 318096 338985 340380 342395 342630 344040 349680 349920 353440 354051 355508 355752 357858 361584 363072 365472 387045 393390 395280 397620 401760 404247 406080 408456 410874 411156 412848 415292 419616 424128 444385 444690 451980 453840 456840 458720 459513 464454 466240 472068 474336 477144 482112 510570 513945 516060 519115 524520 527040 530160 533262 533628 536787 538996 542376 544608 547832 548208 550464 590085 592920 596430 602640 605120 609120 612684 616311 619272 622938 629424 636192 667035 673745 677970 680760 684790 685260 688080 696681 699360 699840 706880 708102 711016 711504 715716 723168 730944 765855 774090 786780 790560 795240 799893 803520 808494 816912 821748 822312 825696 830584 839232 888770 889380 894645 903960 907680 913680 917440 919026 928908 934407 944136 948672 954288 1021140 1027185 1027890 1032120 1038230 1049040 1060320 1062153 1066524 1067256 1073574 1077992 1084752 1089216 1095664 1096416 1161135 1180170 1185840 1192860 1205280 1212741 1218240 1225368 1232622 1238544 1245876 1258848 1272384 1333155 1334070 1347490 1355940 1361520 1369580 1370520 1376160 1378539 1393362 1398720 1416204 1422032 1423008 1431432 1446336 1531710 1548180 1557345 1573560 1581120 1590480 1599786 1610361 1616988 1633824 1643496 1644624 1651392 1661168 1770255 1777540 1778760 1789290 1807920 1815360 1827360 1838052 1848933 1857816 1868814 1888272 1908576 2021235 2042280 2054370 2055780 2064240 2076460 2090043 2098080 2120640 2124306 2133048 2134512 2147148 2155984 2169504 2191328 2192832 2297565 2322270 2360340 2371680 2385720 2399679 2410560 2425482 2450736 2465244 2477088 2491752 2517696 2666310 2668140 2683935 2694980 2711880 2723040 2739160 2741040 2752320 2757078 2786724 2803221 2832408 2844064 2846016 2862864 3063420 3081555 3096360 3114690 3147120 3180960 3186459 3199572 3218513 3220722 3233976 3267648 3286992 3289248 3322336 3483405 3540510 3555080 3557520 3578580 3615840 3638223 3654720 3676104 3697866 3715632 3737628 3776544 3817152 3999465 4042470 4084560 4108740 4111560 4128480 4135617 4152920 4177219 4180086 4196160 4248612 4266096 4269024 4294296 4311968 4339008 4382656 4595130 4644540 4672035 4720680 4743360 4771440 4799358 4831083 4850964 4901472 4930488 4954176 4983504 5310765 5332620 5336280 5367870 5389960 5423760 5446080 5478320 5482080 5514156 5546799 5573448 5606442 5664816 5688128 5725728 6063705 6126840 6163110 6192720 6229380 6270129 6294240 6333203 6361920 6372918 6399144 6437026 6441444 6467952 6573984 6578496 6644672 6892695 6966810 7081020 7110160 7115040 7157160 7199037 7231680 7276446 7352208 7395732 7431264 7475256 7553088 7998930 8051805 8084940 8169120 8217480 8223120 8256960 8271234 8305840 8354438 8360172 8409663 8497224 8532192 8538048 8588592 8623936 9190260 9244665 9289080 9344070 9441360 9542880 9598716 9655539 9662166 9701928 9802944 9860976 9967008 10450215 10621530 10665240 10672560 10735740 10779920 10847520 10914669 10956640 10964160 11028312 11093598 11146896 11212884 11329632 11451456 11998395 12127410 12253680 12326220 12385440 12458760 12531657 12540258 12588480 12666406 12745836 12798288 12874052 12882888 12935904 13147968 13785390 13933620 14016105 14162040 14220320 14230080 14314320 14398074 14552892 14704416 14791464 14862528 14950512 15932295 15997860 16092565 16103610 16169880 16338240 16434960 16446240 16542468 16611680 16640397 16708876 16720344 16819326 16994448 17064384 17177184 18191115 18380520 18489330 18578160 18688140 18882720 18999609 19085760 19197432 19311078 19324332 19403856 19721952 19934016 20678085 20886095 20900430 21243060 21330480 21345120 21471480 21559840 21597111 21695040 21829338 21913280 22056624 22187196 22293792 22425768 22659264 23996790 24155415 24254820 24507360 24652440 24770880 24917520 25063314 25080516 25228989 25332812 25491672 25596576 25748104 25765776 25871808 27570780 27733995 27867240 28032210 28324080 28440640 28628640 28796148 28966617 29105784 29408832 29582928 29901024 31350645 31666015 31864590 31995720 32185130 32207220 32339760 32744007 32869920 32892480 33084936 33223360 33280794 33417752 33440688 33638652 33988896 34354368 35995185 36382230 36761040 36978660 37156320 37376280 37594971 37765440 37999218 38394864 38622156 38648664 38807712 39443904 41356170 41772190 41800860 42048315 42486120 42660960 42690240 42942960 43119680 43194222 43658676 44113248 44374392 44587584 44851536 47993580 48277695 48310830 48509640 49014720 49304880 49835040 49921191 50126628 50161032 50457978 50665624 50983344 51193152 51496208 51531552 54573345 55141560 55467990 55734480 56064420 56648160 56998827 57257280 57592296 57933234 58211568 59165856 59802048 62658285 62701290 63332030 63729180 63991440 64370260 64414440 64679520 64791333 65488014 65739840 66169872 66561588 66835504 66881376 67277304 67977792 71990370 72764460 73522080 73957320 74312640 74752560 75189942 75686967 75998436 76789728 77244312 77297328 77615424 82712340 83201985 83544380 83601720 84096630 84972240 85321920 85885920 86388444 86899851 87317352 88226496 88748784 89703072 94998045 95987160 96555390 96621660 97019280 98232021 98609760 99670080 99842382 100253256 100322064 100915956 101331248 101966688 102992416 103063104 107985555 109146690 110283120 110935980 111468960 112128840 112784913 113296320 113997654 115184592 115866468 116423136 118331712 125316570 125402580 126144945 126664060 127458360 127982880 128740520 128828880 129359040 129582666 130976028 132339744 133123176 133671008 133762752 134554608 143980740 144833085 145528920 147044160 147914640 149505120 149763573 150379884 151373934 151996872 153579456 154488624 154594656 163720035 165424680 166403970 167088760 167203440 168193260 169944480 170996481 171771840 172776888 173799702 174634704 177497568 179406144 187974855 189996090 191974320 193110780 193243320 194038560 194373999 196329293 196464042 197219520 199684764 200506512 200644128 201831912 202662496 203933376 205984832 215971110 218293380 220566240 221871960 222937920 224257680 225569826 227060901 227995308 230369184 231732936 232846272 249605955 250633140 250805160 252289890 253328120 254916720 255965760 257481040 257657760 259165332 260699553 261952056 264679488 266246352 267342016 269109216 284994135 287961480 289666170 291057840 294696063 295829280 299010240 299527146 300759768 302747868 303993744 308977248 309189312 323956665 327440070 330849360 332807940 334177520 334406880 336386520 338354739 339888960 341992962 345553776 347599404 349269408 354995136 375949710 378434835 379992180 383948640 386221560 386486640 388077120 388747998 392658586 392928084 399369528 401013024 401288256 403663824 405324992 431942220 434499255 436586760 441132480 443743920 448515360 451139652 454121802 455990616 460738368 463465872 491160105 499211910 501266280 501610320 504579780 506656240 509833440 512989443 514962080 515315520 518330664 521399106 523904112 532492704 538218432 563924565 569988270 575922960 579332340 582115680 588987879 589392126 591658560 599054292 601519536 605495736 607987488 617954496 647913330 654880140 661698720 665615880 668355040 668813760 672773040 676709478 683985924 691107552 695198808 698538816 748817865 751899420 756869670 759984360 767897280 772443120 772973280 777495996 782098659 785317172 785856168 798739056 802026048 807327648 854982405 863884440 868998510 873173520 887487840 897030720 902279304 908243604 911981232 926931744 971869995 981646465 982320210 998423820 1002532560 1003220640 1009159560 1013312480 1015064217 1019666880 1025978886 1029924160 1036661328 1042798212 1047808224 1064985408 1127849130 1135304505 1139976540 1151845920 1158664680 1164231360 1177975758 1178784252 1198108584 1203039072 1210991472 1215974976 1295826660 1303497765 1309760280 1323397440 1331231760 1336710080 1345546080 1353418956 1367971848 1382215104 1390397616 1473480315 1497635730 1503798840 1513739340 1519968720 1538968329 1544886240 1545946560 1554991992 1564197318 1570634344 1571712336 1597478112 1614655296 1691773695 1709964810 1727768880 1737997020 1746347040 1766963637 1774975680 1804558608 1816487208 1823962464 1853863488 1943739990 1963292930 1964640420 1996847640 2005065120 2006441280 2018319120 2026624960 2030128434 2051957772 2073322656 2085596424 2095616448 2255698260 2270609010 2279953080 2303691840 2317329360 2346295977 2355951516 2357568504 2396217168 2406078144 2421982944 2564947215 2591653320 2606995530 2619520560 2662463520 2691092160 2706837912 2735943696 2780795232 2944939395 2946960630 2995271460 3007597680 3027478680 3039937440 3045192651 3077936658 3089772480 3109983984 3128394636 3141268688 3143424672 3194956224 3383547390 3419929620 3455537760 3475994040 3492694080 3533927274 3609117216 3632974416 3647924928 3887479980 3910493295 3926585860 3929280840 3993695280 4010130240 4036638240 4060256868 4103915544 4146645312 4171192848 4511396520 4541218020 4559906160 4616904987 4634658720 4692591954 4711903032 4715137008 4792434336 4843965888 5075321085 5129894430 5183306640 5213991060 5239041120 5300890911 5324927040 5413675824 5471887392 5561590464 5889878790 5893921260 5990542920 6015195360 6054957360 6079874880 6090385302 6155873316 6219967968 6256789272 6282537376 6286849344 6767094780 6839859240 6911075520 6951988080 7038887931 7067854548 7218234432 7265948832 7694841645 7774959960 7820986590 7853171720 7858561680 7987390560 8073276480 8120513736 8207831088 8342385696 8834818185 9022793040 9082436040 9119812320 9135577953 9233809974 9269317440 9385183908 9423806064 9430274016 9584868672 10150642170 10259788860 10366613280 10427982120 10478082240 10601781822 10827351648 10943774784 11731479885 11779757580 11787842520 11981085840 12030390720 12109914720 12180770604 12311746632 12439935936 12513578544 12565074752 13534189560 13679718480 13850714961 13903976160 14077775862 14135709096 14531897664 15225963255 15389683290 15549919920 15641973180 15706343440 15717123360 15902672733 15974781120 16241027472 16415662176 16684771392 17669636370 18045586080 18164872080 18239624640 18271155906 18467619948 18770367816 18847612128 18860548032 20301284340 20519577720 20733226560 20855964240 21203563644 21654703296 23084524935 23462959770 23559515160 23575685040 23962171680 24219829440 24361541208 24623493264 25027157088 26504454555 27068379120 27359436960 27701429922 27807952320 28155551724 28271418192 30451926510 30779366580 31099839840 31283946360 31412686880 31434246720 31805345466 32482054944 32831324352 35194439655 35339272740 36091172160 36329744160 36542311812 36935239896 37540735632 37695224256 40602568680 41039155440 41711928480 42407127288 45677889765 46169049870 46925919540 47119030320 47151370080 47708018199 47924343360 48723082416 49246986528 50054314176 53008909110 54136758240 54718873920 55402859844 56311103448 56542836384 60903853020 61558733160 62199679680 62567892720 62825373760 63610690932 64964109888 69253574805 70388879310 70678545480 72659488320 73084623624 73870479792 75081471264 79513363665 81205137360 82078310880 83423856960 84814254576 91355779530 92338099740 93851839080 94238060640 94302740160 95416036398 97446164832 98493973056 106017818220 108273516480 110805719688 112622206896 113085672768 121807706040 123117466320 125135785440 127221381864 138507149610 140777758620 141357090960 143124054597 146169247248 147740959584 150162942528 159026727330 162410274720 164156621760 169628509152 182711559060 184676199480 187703678160 188476121280 190832072796 194892329664 212035636440 221611439376 225244413792 238540090995 243615412080 246234932640 250271570880 254442763728 277014299220 281555517240 282714181920 286248109194 292338494496 295481919168 318053454660 324820549440 339257018304 365423118120 369352398960 375407356320 381664145592 424071272880 429372163791 443222878752 450488827584 477080181990 487230824160 492469865280 508885527456 554028598440 563111034480 565428363840 572496218388 584676988992 636106909320 715620272985 730846236240 738704797920 750814712640 763328291184 848142545760 858744327582 886445757504 954160363980 974461648320 1017771054912 1108057196880 1126222068960 1144992436776 1272213818640 1431240545970 1461692472480 1477409595840 1526656582368 1696285091520 1717488655164 1908320727960 2146860818955 2216114393760 2252444137920 2289984873552 2544427637280 2862481091940 2923384944960 3053313164736 3434977310328 3816641455920 4293721637910 4432228787520 4579969747104 5088855274560 5724962183880 6869954620656 7633282911840 8587443275820 9159939494208 11449924367760 13739909241312 15266565823680 17174886551640 22899848735520 27479818482624 34349773103280 45799697471040 68699546206560 137399092413120
- Sum of all divisors σ(n): 526022103859200
- Sum of proper divisors (its aliquot sum) s(n): 388623011446080
- 137399092413120 is an abundant number, because the sum of its proper divisors (388623011446080) is greater than itself. Its abundance is 251223919032960
Bases of 137399092413120
- Binary: 111110011110110101110000001100010000010110000002
- Hexadecimal: 0x7CF6B81882C0
- Base-36: 1CPC9S3000
Squares and roots of 137399092413120
- 137399092413120 squared (1373990924131202) is 18878510595949089944748134400
- 137399092413120 cubed (1373990924131203) is 2593890221994874134033211873228314083328000
-
The
square root of 137399092413120 is 11721735.8958952833 -
The
cube root of 137399092413120 is 51601.3766349869
Scales and comparisons
How big is 137399092413120?- 137,399,092,413,120 seconds is equal to 4,368,866 years, 7 weeks, 7 hours, 12 minutes.
-
To count from 1 to 137,399,092,413,120 would take you about ten million, nine hundred twenty-two thousand, one hundred sixty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137399092413120 cubic inches would be around 4300.1 feet tall.
Recreational maths with 137399092413120
- 137399092413120 backwards is 021314290993731
- 137399092413120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137399092413120's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137399092413120 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 137399092413120 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137399092413120/
Chicago style:
Numbermatics. 2024. "Number 137399092413120 - Facts about the integer". https://numbermatics.com/n/137399092413120/
The information we have on file for 137399092413120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137399092413120, math, Factors of 137399092413120, curriculum, school, college, exams, university, Prime factorization of 137399092413120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred ninety-nine billion, ninety-two million, four hundred thirteen thousand, one hundred twenty.