137372634751968
137,372,634,751,968 is an even composite number composed of five prime numbers multiplied together.
137372634751968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137372634751968:
25 × 313 × 7 × 113 × 172
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 11 × 17 × 17)See below for interesting mathematical facts about the number 137372634751968 from the Numbermatics database.
Names of 137372634751968
- Cardinal: 137372634751968 can be written as One hundred thirty-seven trillion, three hundred seventy-two billion, six hundred thirty-four million, seven hundred fifty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37372634751968 × 1014
Factors of 137372634751968
Divisors of 137372634751968
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 51 54 56 63 66 68 72 77 81 84 88 96 99 102 108 112 119 121 126 132 136 144 153 154 162 168 176 187 189 198 204 216 224 231 238 242 243 252 264 272 288 289 297 306 308 324 336 352 357 363 374 378 396 408 432 459 462 476 484 486 504 528 544 561 567 578 594 612 616 648 672 693 714 726 729 748 756 792 816 847 864 867 891 918 924 952 968 972 1008 1056 1071 1089 1122 1134 1156 1188 1224 1232 1296 1309 1331 1377 1386 1428 1452 1458 1496 1512 1584 1632 1683 1694 1701 1734 1782 1836 1848 1904 1936 1944 2016 2023 2057 2079 2142 2178 2187 2244 2268 2312 2376 2448 2464 2541 2592 2601 2618 2662 2673 2754 2772 2856 2904 2916 2992 3024 3168 3179 3213 3267 3366 3388 3402 3468 3564 3672 3696 3808 3872 3888 3927 3993 4046 4114 4131 4158 4284 4356 4374 4488 4536 4624 4752 4896 5049 5082 5103 5202 5236 5324 5346 5508 5544 5712 5808 5832 5984 6048 6069 6171 6237 6358 6426 6534 6561 6732 6776 6804 6936 7128 7344 7392 7623 7776 7803 7854 7986 8019 8092 8228 8262 8316 8568 8712 8748 8976 9072 9248 9317 9504 9537 9639 9801 10098 10164 10206 10404 10472 10648 10692 11016 11088 11424 11616 11664 11781 11979 12138 12342 12393 12474 12716 12852 13068 13122 13464 13552 13608 13872 14256 14399 14688 15147 15246 15309 15606 15708 15972 16038 16184 16456 16524 16632 17136 17424 17496 17952 18144 18207 18513 18634 18711 19074 19278 19602 19683 20196 20328 20412 20808 20944 21296 21384 22032 22176 22253 22627 22869 23328 23409 23562 23958 24057 24276 24684 24786 24948 25432 25704 26136 26244 26928 27104 27216 27744 27951 28512 28611 28798 28917 29403 30294 30492 30618 31212 31416 31944 32076 32368 32912 33048 33264 34272 34848 34969 34992 35343 35937 36414 37026 37179 37268 37422 38148 38556 39204 39366 40392 40656 40824 41616 41888 42592 42768 43197 44064 44506 45254 45441 45738 45927 46818 47124 47916 48114 48552 49368 49572 49896 50864 51408 52272 52488 53856 54432 54621 55539 55902 56133 57222 57596 57834 58806 59049 60588 60984 61236 62424 62832 63888 64152 64736 65824 66096 66528 66759 67881 68607 69938 69984 70227 70686 71874 72171 72828 74052 74358 74536 74844 76296 77112 78408 78732 80784 81312 81648 83232 83853 85536 85833 86394 86751 88209 89012 90508 90882 91476 91854 93636 94248 95832 96228 97104 98736 99144 99792 101728 102816 104544 104907 104976 106029 107811 109242 111078 111537 111804 112266 114444 115192 115668 117612 118098 121176 121968 122472 124848 125664 127776 128304 129591 132192 133518 135762 136323 137214 137781 139876 140454 141372 143748 144342 145656 148104 148716 149072 149688 152592 154224 156816 157464 158389 161568 163296 163863 166617 167706 168399 171666 172788 173502 176418 177147 178024 181016 181764 182952 183708 187272 188496 191664 192456 194208 197472 198288 199584 200277 203643 205821 209814 209952 210681 212058 215622 216513 218484 222156 223074 223608 224532 228888 230384 231336 235224 236196 242352 243936 244783 244944 249696 251559 256608 257499 259182 260253 264627 267036 271524 272646 274428 275562 279752 280908 282744 287496 288684 291312 296208 297432 298144 299376 305184 308448 313632 314721 314928 316778 318087 323433 327726 333234 334611 335412 336798 343332 345576 347004 352836 354294 356048 362032 363528 365904 367416 374544 376992 383328 384659 384912 388773 396576 400554 407286 408969 411642 413343 419628 421362 424116 431244 433026 436968 444312 446148 447216 449064 457776 460768 462672 470448 472392 475167 484704 489566 489888 491589 499851 503118 505197 514998 518364 520506 529254 531441 534072 543048 545292 548856 551124 559504 561816 565488 574992 577368 582624 592416 594864 598752 600831 610929 617463 629442 629856 632043 633556 636174 646866 649539 655452 666468 669222 670824 673596 686664 691152 694008 705672 708588 712096 724064 727056 731808 734349 734832 749088 754677 769318 769824 772497 777546 780759 793881 801108 814572 817938 823284 826686 839256 842724 848232 862488 866052 873936 888624 892296 894432 898128 915552 925344 940896 944163 944784 950334 954261 970299 979132 983178 999702 1003833 1006236 1010394 1029996 1036728 1041012 1058508 1062882 1068144 1086096 1090584 1097712 1102248 1119008 1123632 1130976 1149984 1153977 1154736 1166319 1189728 1201662 1221858 1226907 1234926 1240029 1258884 1264086 1267112 1272348 1293732 1299078 1310904 1332936 1338444 1341648 1347192 1373328 1382304 1388016 1411344 1417176 1425501 1454112 1468698 1469664 1474767 1499553 1509354 1515591 1538636 1544994 1555092 1561518 1587762 1594323 1602216 1629144 1635876 1646568 1653372 1678512 1685448 1696464 1724976 1732104 1747872 1777248 1784592 1796256 1802493 1832787 1852389 1888326 1889568 1896129 1900668 1908522 1940598 1948617 1958264 1966356 1999404 2007666 2012472 2020788 2059992 2073456 2082024 2117016 2125764 2136288 2172192 2181168 2195424 2203047 2204496 2247264 2264031 2307954 2309472 2317491 2332638 2342277 2381643 2403324 2443716 2453814 2469852 2480058 2517768 2528172 2534224 2544696 2587464 2598156 2621808 2665872 2676888 2683296 2692613 2694384 2746656 2776032 2822688 2832489 2834352 2851002 2862783 2910897 2937396 2949534 2999106 3011499 3018708 3031182 3077272 3089988 3110184 3123036 3175524 3188646 3204432 3258288 3271752 3293136 3306744 3357024 3370896 3392928 3449952 3461931 3464208 3498957 3569184 3604986 3665574 3680721 3704778 3720087 3776652 3792258 3801336 3817044 3881196 3897234 3916528 3932712 3998808 4015332 4024944 4041576 4119984 4146912 4164048 4234032 4251528 4276503 4362336 4406094 4408992 4424301 4498659 4528062 4546773 4615908 4634982 4665276 4684554 4763286 4806648 4887432 4907628 4939704 4960116 5035536 5056344 5068448 5089392 5174928 5196312 5243616 5331744 5353776 5385226 5388768 5407479 5498361 5557167 5664978 5668704 5688387 5702004 5725566 5821794 5845851 5874792 5899068 5998212 6022998 6037416 6062364 6154544 6179976 6220368 6246072 6351048 6377292 6408864 6516576 6543504 6586272 6609141 6613488 6741792 6792093 6923862 6928416 6952473 6997914 7026831 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43986888 44168652 44457336 44641044 45319824 45507096 45616032 45804528 46574352 46766808 47192544 47985696 48183984 48467034 48498912 48667311 49485249 50014503 50984802 51018336 51195483 51318036 51530094 52396146 52873128 53091612 53983908 54206982 54336744 54561276 55390896 55619784 55983312 56214648 57159432 57679776 58649184 58891536 59276448 59482269 59521392 60676128 61128837 62314758 62355744 62572257 62981226 63241479 64304361 64622712 64889748 65980332 66252978 66686004 67979736 68260644 68424048 68706792 69861528 70150212 70497504 70788816 71978544 72275976 72448992 72700551 72748368 74159712 74952864 76212576 76477203 76977054 77295141 78594219 79309692 79637418 80975862 81505116 81841914 83086344 83429676 83974968 84321972 85739148 86163616 86519664 87973776 88337304 88914672 89282088 90639648 91014192 91609056 93148704 93472137 93533616 94471839 96367968 96934068 97334622 98970498 99379467 100029006 101969604 102390966 102636072 103060188 104792292 105746256 106183224 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615816432 618361128 628753752 634477536 637099344 647806896 652040928 654304959 654735312 667437408 674575776 685913184 688294827 692793486 695656269 707347971 713787228 716736762 728782758 733546044 747777096 750867084 755774712 758897748 771652332 775472544 778676976 791763984 795035736 800232048 815756832 819127728 824481504 838338336 841249233 850246551 867311712 872406612 876011598 890734482 900261054 917726436 921518694 923724648 927541692 943130628 951716304 955649016 971710344 978061392 982102968 997036128 1001156112 1007699616 1011863664 1028869776 1039190229 1060047648 1070680842 1075105143 1093174137 1100319066 1121665644 1126300626 1133662068 1163208816 1168015464 1187645976 1192553604 1200348072 1223635248 1228691592 1231632864 1236722256 1257507504 1274198688 1295613792 1308609918 1309470624 1314017397 1336101723 1350391581 1376589654 1385586972 1391312538 1414695942 1427574456 1433473524 1457565516 1467092088 1495554192 1501734168 1511549424 1517795496 1543304664 1557353952 1583527968 1590071472 1600464096 1606021263 1638255456 1650478599 1682498466 1689450939 1700493102 1744813224 1752023196 1781468964 1800522108 1835452872 1843037388 1847449296 1855083384 1886261256 1903432608 1911298032 1943420688 1956122784 1962914877 1964205936 2002312224 2023727328 2057739552 2064884481 2078380458 2086968807 2122043913 2141361684 2150210286 2186348274 2200638132 2243331288 2252601252 2267324136 2326417632 2336030928 2375291952 2385107208 2400696144 2447270496 2457383184 2473444512 2515015008 2523747699 2550739653 2617219836 2628034794 2672203446 2700783162 2753179308 2771173944 2782625076 2829391884 2855148912 2866947048 2915131032 2934184176 2991108384 3003468336 3023098848 3035590992 3086609328 3117570687 3180142944 3212042526 3225315429 3279522411 3300957198 3364996932 3378901878 3400986204 3489626448 3504046392 3562937928 3601044216 3670905744 3686074776 3694898592 3710166768 3772522512 3822596064 3886841376 3925829754 3928411872 3942052191 4008305169 4129768962 4156760916 4173937614 4244087826 4282723368 4300420572 4372696548 4401276264 4486662576 4505202504 4534648272 4672061856 4750583904 4770214416 4801392288 4818063789 4914766368 4951435797 5047495398 5068352817 5101479306 5234439672 5256069588 5344406892 5401566324 5506358616 5542347888 5565250152 5658783768 5710297824 5733894096 5830262064 5868368352 5888744631 6006936672 6071181984 6173218656 6194653443 6235141374 6424085052 6450630858 6559044822 6601914396 6729993864 6757803756 6801972408 6979252896 7008092784 7125875856 7202088432 7341811488 7372149552 7420333536 7545045024 7571243097 7652218959 7851659508 7884104382 8016610338 8259537924 8313521832 8347875228 8488175652 8565446736 8600841144 8745393096 8802552528 8973325152 9010405008 9069296544 9352712061 9540428832 9636127578 9902871594 10094990796 10136705634 10202958612 10468879344 10512139176 10688813784 10803132648 11012717232 11084695776 11130500304 11317567536 11467788192 11660524128 11777489262 11826156573 12024915507 12389306886 12470282748 12848170104 12901261716 13118089644 13203828792 13459987728 13515607512 13603944816 14016185568 14251751712 14404176864 14454191367 14744299104 14854307391 15142486194 15304437918 15703319016 15768208764 16033220676 16519075848 16627043664 16695750456 16976351304 17130893472 17201682288 17490786192 17605105056 17666233893 18020810016 18583960329 18705424122 19272255156 19805743188 20189981592 20273411268 20405917224 20937758688 21024278352 21377627568 21606265296 22025434464 22261000608 22635135072 22713729291 22956656877 23554978524 23652313146 24049831014 24778613772 24940565496 25696340208 25802523432 26236179288 26407657584 26919975456 27031215024 27207889632 28058136183 28908382734 29708614782 30284972388 30608875836 31406638032 31536417528 32066441352 33038151696 33254087328 33391500912 33952702608 34403364576 34981572384 35332467786 35478469719 36074746521 37167920658 37410848244 38544510312 39611486376 40379963184 40546822536 40811834448 42048556704 42755255136 43212530592 43362574101 45427458582 45913313754 47109957048 47304626292 48099662028 49557227544 49881130992 51392680416 51605046864 52472358576 52815315168 52998701679 54062430048 55751880987 56116272366 57816765468 59417229564 60569944776 61217751672 62813276064 63072835056 64132882704 66076303392 66783001824 67905405216 68141187873 70664935572 70956939438 72149493042 74335841316 74821696488 77089020624 79222972752 80759926368 81093645072 81623668896 84174408549 86725148202 90854917164 91826627508 94219914096 94609252584 96199324056 99114455088 99762261984 103210093728 104944717152 105997403358 111503761974 112232544732 115633530936 118834459128 121139889552 122435503344 126145670112 128265765408 130087722303 136282375746 141329871144 141913878876 144298986084 148671682632 149643392976 154178041248 158445945504 158996105037 162187290144 168348817098 173450296404 181709834328 183653255016 188439828192 189218505168 192398648112 198228910176 204423563619 211994806716 223007523948 224465089464 231267061872 237668918256 242279779104 244871006688 252523225647 260175444606 272564751492 282659742288 283827757752 288597972168 297343365264 299286785952 317992210074 336697634196 346900592808 363419668656 367306510032 378437010336 384797296224 390263166909 408847127238 423989613432 446015047896 448930178928 462534123744 475337836512 476988315111 505046451294 520350889212 545129502984 565319484576 567655515504 577195944336 594686730528 613270690857 635984420148 673395268392 693801185616 726839337312 734613020064 780526333818 817694254476 847979226864 892030095792 897860357856 953976630222 1010092902588 1040701778424 1090259005968 1135311031008 1154391888672 1226541381714 1271968840296 1346790536784 1387602371232 1430964945333 1561052667636 1635388508952 1695958453728 1784060191584 1907953260444 2020185805176 2081403556848 2180518011936 2453082763428 2543937680592 2693581073568 2861929890666 3122105335272 3270777017904 3815906520888 4040371610352 4162807113696 4292894835999 4906165526856 5087875361184 5723859781332 6244210670544 6541554035808 7631813041776 8080743220704 8585789671998 9812331053712 11447719562664 12488421341088 15263626083552 17171579343996 19624662107424 22895439125328 34343158687992 45790878250656 68686317375984 137372634751968
- Sum of all divisors σ(n): 541723241219328
- Sum of proper divisors (its aliquot sum) s(n): 404350606467360
- 137372634751968 is an abundant number, because the sum of its proper divisors (404350606467360) is greater than itself. Its abundance is 266977971715392
Bases of 137372634751968
- Binary: 111110011110000100011110001100010100011111000002
- Hexadecimal: 0x7CF08F18A3E0
- Base-36: 1CP047VI00
Squares and roots of 137372634751968
- 137372634751968 squared (1373726347519682) is 18871240778697606252879873024
- 137372634751968 cubed (1373726347519683) is 2592392066808470446328659821657997574111232
-
The
square root of 137372634751968 is 11720607.2689075287 -
The
cube root of 137372634751968 is 51598.0642905003
Scales and comparisons
How big is 137372634751968?- 137,372,634,751,968 seconds is equal to 4,368,024 years, 44 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,372,634,751,968 would take you about ten million, nine hundred twenty thousand and sixty-two 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 137372634751968 cubic inches would be around 4299.8 feet tall.
Recreational maths with 137372634751968
- 137372634751968 backwards is 869157436273731
- 137372634751968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137372634751968's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 137372634751968 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 137372634751968 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/137372634751968/
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Numbermatics. 2024. "Number 137372634751968 - Facts about the integer". https://numbermatics.com/n/137372634751968/
The information we have on file for 137372634751968 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 137372634751968, math, Factors of 137372634751968, curriculum, school, college, exams, university, Prime factorization of 137372634751968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, three hundred seventy-two billion, six hundred thirty-four million, seven hundred fifty-one thousand, nine hundred sixty-eight.