137105234321016
137,105,234,321,016 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137105234321016 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
137105234321016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137105234321016:
23 × 3 × 132 × 193 × 23 × 472 × 97
(2 × 2 × 2 × 3 × 13 × 13 × 19 × 19 × 19 × 23 × 47 × 47 × 97)See below for interesting mathematical facts about the number 137105234321016 from the Numbermatics database.
Names of 137105234321016
- Cardinal: 137105234321016 can be written as One hundred thirty-seven trillion, one hundred five billion, two hundred thirty-four million, three hundred twenty-one thousand and sixteen.
Scientific notation
- Scientific notation: 1.37105234321016 × 1014
Factors of 137105234321016
Divisors of 137105234321016
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 12 13 19 23 24 26 38 39 46 47 52 57 69 76 78 92 94 97 104 114 138 141 152 156 169 184 188 194 228 247 276 282 291 299 312 338 361 376 388 437 456 494 507 552 564 582 598 611 676 722 741 776 874 893 897 988 1014 1081 1083 1128 1164 1196 1222 1261 1311 1352 1444 1482 1748 1786 1794 1833 1843 1976 2028 2162 2166 2209 2231 2328 2392 2444 2522 2622 2679 2888 2964 3211 3243 3496 3572 3588 3666 3686 3783 3887 4056 4324 4332 4418 4462 4559 4693 4888 5044 5244 5358 5529 5681 5928 6422 6486 6627 6693 6859 7144 7176 7332 7372 7566 7774 7943 8303 8648 8664 8836 8924 9118 9386 9633 10088 10488 10716 11058 11362 11609 11661 12844 12972 13254 13386 13677 13718 14053 14079 14664 14744 15132 15548 15886 16393 16606 16967 17043 17672 17848 18236 18772 19266 20539 20577 21432 22116 22724 23218 23322 23829 23959 24909 25688 25944 26508 26772 27354 27436 28106 28158 28717 29003 30264 31096 31772 32786 33212 33934 34086 34827 35017 36472 37544 38532 41078 41154 41971 42159 42389 44232 45448 46436 46644 47658 47918 49179 49818 50807 50901 53016 53544 54708 54872 56212 56316 57434 58006 59267 61009 61617 63544 65572 66424 67868 68172 69654 70034 71877 73853 77064 82156 82308 83942 84318 84778 86151 86621 87009 89167 92872 93288 95316 95836 98358 99636 101614 101802 104857 105051 107939 109416 112424 112632 114868 116012 118534 122018 123234 125913 127167 131144 135736 136344 139308 140068 143754 147706 150917 152421 157757 164312 164616 167884 168636 169556 172302 173242 174018 177801 178334 182689 183027 190632 191672 196716 199272 203228 203604 209714 210102 214273 215878 220571 221559 229736 232024 237068 244036 246468 251826 254334 259863 267007 267501 278616 280136 287508 295412 301834 304842 311467 314571 315514 322373 323817 335768 337272 339112 344604 346484 348036 355602 356668 365378 366054 373321 377039 390241 393432 406456 407208 419428 420204 428546 431756 441142 443118 452751 455221 473271 474136 488072 492936 503652 508668 519726 534014 535002 545623 548067 551057 575016 590824 603668 609684 622934 629142 631028 642819 644746 647634 660491 661713 665323 689208 692968 696072 711204 713336 730756 732108 746642 754078 770471 780482 797449 801021 805391 838856 840408 857092 863512 882284 886236 905502 910442 934401 946542 965333 967119 1007304 1017336 1039452 1068028 1070004 1091246 1096134 1102114 1119963 1126073 1131117 1159171 1170723 1207336 1219368 1245868 1258284 1262056 1285638 1289492 1295268 1320982 1323426 1330646 1363141 1365663 1403207 1422408 1461512 1464216 1493284 1508156 1540942 1560964 1594898 1602042 1610782 1636869 1645799 1653171 1714184 1764568 1772472 1811004 1820884 1868802 1893084 1930666 1934238 1981473 1992283 1995969 2050841 2078904 2136056 2140008 2182492 2192268 2204228 2239926 2252146 2262234 2311413 2318342 2341446 2392347 2416173 2491736 2516568 2571276 2578984 2590536 2641964 2646852 2661292 2726282 2731326 2785549 2806414 2867423 2895999 2986568 3016312 3081884 3121928 3189796 3204084 3221564 3273738 3291598 3306342 3378219 3471091 3477513 3622008 3641768 3737604 3786168 3861332 3868476 3962946 3984566 3991938 4071187 4089423 4101682 4190849 4209621 4364984 4384536 4408456 4479852 4504292 4524468 4622826 4636684 4682892 4784694 4832346 4928279 4937397 5073133 5142552 5283928 5293704 5322584 5452564 5462652 5571098 5612828 5734846 5791998 5917873 5976849 6152523 6163768 6379592 6408168 6443128 6547476 6583196 6612684 6756438 6942182 6955026 7093099 7163741 7414579 7475208 7722664 7736952 7925892 7969132 7983876 8142374 8178846 8203364 8356647 8381698 8419242 8586383 8602269 8649199 8959704 9008584 9048936 9245652 9273368 9365784 9569388 9664692 9856558 9874794 10146266 10366837 10413273 10470083 10905128 10925304 11142196 11225656 11469692 11583996 11835746 11953698 12213561 12305046 12549329 12572547 13094952 13166392 13225368 13512876 13884364 13910052 14186198 14327482 14638949 14784837 14829158 15151531 15219399 15302429 15851784 15938264 15967752 16284748 16357692 16406728 16713294 16763396 16838484 17172766 17204538 17298398 17720833 17753619 18341327 18491304 19138776 19329384 19713116 19749588 20292532 20733674 20826546 20940166 21279297 21395387 21491223 22243737 22284392 22939384 23167992 23671492 23907396 24427122 24610092 25098658 25145094 25759149 25899679 25947597 26660933 27025752 27768728 27820104 28372396 28654964 29277898 29569674 29658316 30303062 30438798 30604858 31100511 31270181 31410249 32569496 32715384 33426588 33526792 33676968 34345532 34409076 34596796 35441666 35507238 36212137 36682654 37647987 37853377 39426232 39499176 40585064 41467348 41653092 41880332 42558594 42790774 42982446 43916847 44487474 45454593 45907287 47342984 47814792 48854244 49220184 50197316 50290188 51518298 51799358 51895194 52925431 53162499 53321866 54481037 55023981 56744792 57309928 58555796 59139348 59316632 60606124 60877596 61209716 62201022 62540362 62820498 64067627 64186161 65950729 66853176 68691064 68818152 69193592 70883332 71014476 72424274 73365308 75295974 75706754 77352553 77699037 79982799 82934696 83306184 83760664 85117188 85581548 85964892 87833694 88974948 90909186 91814574 93637301 93810543 96389527 97708488 100394632 100580376 103036596 103598716 103790388 105850862 106324998 106643732 108636411 108962074 110047962 112439587 113560131 117111592 118278696 121212248 121755192 122419432 124402044 125080724 125640996 128135254 128372322 131901458 134768881 136111079 141766664 142028952 144848548 146730616 150591948 151413508 154705106 155398074 158776293 159965598 163141277 163443111 170234376 171163096 171929784 175667388 177949896 181818372 183629148 187274602 187621086 192202881 192779054 196969903 197852187 198931577 206073192 207197432 207580776 211701724 212649996 213287464 217272822 217924148 220095924 224879174 227120262 232057659 238437251 248804088 250161448 251281992 256270508 256744644 263802916 269537762 272222158 278140031 280911903 289168581 289697096 301183896 302827016 309410212 310796148 317552586 319931196 326282554 326886222 336695827 337318761 348485213 351334776 363636744 367258296 374549204 375242172 384405762 385558108 393939806 395704374 397863154 404306643 406512353 408333237 423403448 425299992 434545644 435848296 440191848 449758348 454240524 464115318 476874502 489423831 492093901 512541016 513489288 527605832 539075524 544444316 556280062 561823806 578337162 590909709 596794731 618820424 621592296 635105172 639862392 652565108 653772444 673391654 674637522 688030603 696970426 715311753 719214163 749098408 750484344 768811524 771116216 787879612 791408748 795726308 808613286 813024706 816666474 832879151 834420093 869091288 899516696 908481048 928230636 953749004 978847662 984187802 1005583189 1010087481 1045455639 1078151048 1088888632 1112560124 1123647612 1156674324 1181819418 1193589462 1217284913 1219537059 1253063851 1270210344 1305130216 1307544888 1346783308 1349275044 1376061206 1393940852 1430623506 1438428326 1469698507 1476281703 1537623048 1575759224 1582817496 1591452616 1617226572 1626049412 1633332948 1665758302 1668840186 1779108719 1856461272 1907498008 1957695324 1968375604 2011166378 2020174962 2064091809 2090911278 2157642489 2225120248 2247295224 2313348648 2363638836 2387178924 2434569826 2439074118 2498637453 2506127702 2560608739 2586110501 2693566616 2698550088 2752122412 2787881704 2861247012 2876856652 2939397014 2952563406 3016749567 3099684263 3234453144 3252098824 3266665896 3331516604 3337680372 3558217438 3651854739 3759191553 3915390648 3936751208 4022332756 4040349924 4128183618 4181822556 4315284978 4409095521 4530307769 4727277672 4774357848 4869139652 4878148236 4997274906 5012255404 5121217478 5172221002 5284660589 5337326157 5504244824 5722494024 5753713304 5878794028 5905126812 6033499134 6199368526 6397220713 6663033208 6675360744 7116434876 7303709478 7518383106 7681826217 7758331503 8044665512 8080699848 8256367236 8363645112 8630569956 8818191042 9060615538 9299052789 9349784119 9738279304 9756296472 9994549812 10024510808 10242434956 10344442004 10569321178 10674652314 11757588056 11810253624 12066998268 12398737052 12794441426 13072581457 13590923307 14232869752 14607418956 15036766212 15363652434 15516663006 15824703869 15853981767 16512734472 17261139912 17636382084 18121231076 18598105578 18699568238 19106080591 19191662139 19989099624 20484869912 20688884008 21138642356 21349304628 23128413347 24133996536 24797474104 25588882852 26145162914 27181846614 28049352357 29214837912 30073532424 30727304868 31033326012 31649407738 31707963534 33803065661 35272764168 36242462152 37196211156 37399136476 38212161182 38383324278 39217744371 42277284712 42698609256 46256826694 47474111607 51177765704 52290325828 54363693228 56098704714 57318241773 58894000997 61454609736 62066652024 63298815476 63415927068 67606131322 69385240041 74392422312 74798272952 76424322364 76766648556 78435488742 92513653388 94948223214 101409196983 104580651656 108727386456 112197409428 114636483546 117788001994 121547193547 126597630952 126831854136 135212262644 138770480082 152848644728 153533297112 156870977484 176682002991 185027306776 189896446428 202818393966 224394818856 229272967092 235576003988 243094387094 248379047683 270424525288 277540960164 300669373511 313741954968 353364005982 364641580641 379792892856 405636787932 439439853593 458545934184 471152007976 486188774188 496758095366 555081920328 601338747022 706728011964 729283161282 745137143049 811273575864 878879707186 902008120533 972377548376 993516190732 1202677494044 1318319560779 1413456023928 1458566322564 1490274286098 1757759414372 1804016241066 1987032381464 2405354988088 2636639121558 2917132645128 2980548572196 3515518828744 3608032482132 5273278243116 5712718096709 5961097144392 7216064964264 10546556486232 11425436193418 17138154290127 22850872386836 34276308580254 45701744773672 68552617160508 137105234321016
- Sum of all divisors σ(n): 421997407372800
- Sum of proper divisors (its aliquot sum) s(n): 284892173051784
- 137105234321016 is an abundant number, because the sum of its proper divisors (284892173051784) is greater than itself. Its abundance is 147786938730768
Bases of 137105234321016
- Binary: 111110010110010010011001100100111011110011110002
- Hexadecimal: 0x7CB24CC9DE78
- Base-36: 1CLL9WK8ZC
Squares and roots of 137105234321016
- 137105234321016 squared (1371052343210162) is 18797845278220703698539272256
- 137105234321016 cubed (1371052343210163) is 2577282981600653784066189799338870926532096
-
The
square root of 137105234321016 is 11709194.4351870765 -
The
cube root of 137105234321016 is 51564.5634245839
Scales and comparisons
How big is 137105234321016?- 137,105,234,321,016 seconds is equal to 4,359,522 years, 18 weeks, 3 days, 23 hours, 23 minutes, 36 seconds.
-
To count from 1 to 137,105,234,321,016 would take you about ten million, eight hundred ninety-eight thousand, eight hundred 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 137105234321016 cubic inches would be around 4297 feet tall.
Recreational maths with 137105234321016
- 137105234321016 backwards is 610123432501731
- 137105234321016 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137105234321016's digits is 39
- More coming soon!
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The information we have on file for 137105234321016 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 137105234321016, math, Factors of 137105234321016, curriculum, school, college, exams, university, Prime factorization of 137105234321016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, one hundred five billion, two hundred thirty-four million, three hundred twenty-one thousand and sixteen.