137138591829096
137,138,591,829,096 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137138591829096 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137138591829096 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137138591829096:
23 × 32 × 113 × 13 × 19 × 292 × 832
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 13 × 19 × 29 × 29 × 83 × 83)See below for interesting mathematical facts about the number 137138591829096 from the Numbermatics database.
Names of 137138591829096
- Cardinal: 137138591829096 can be written as One hundred thirty-seven trillion, one hundred thirty-eight billion, five hundred ninety-one million, eight hundred twenty-nine thousand and ninety-six.
Scientific notation
- Scientific notation: 1.37138591829096 × 1014
Factors of 137138591829096
Divisors of 137138591829096
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 19 22 24 26 29 33 36 38 39 44 52 57 58 66 72 76 78 83 87 88 99 104 114 116 117 121 132 143 152 156 166 171 174 198 209 228 232 234 242 247 249 261 264 286 312 319 332 342 348 363 377 396 418 429 456 468 484 494 498 522 551 572 627 638 664 684 696 726 741 747 754 792 836 841 858 913 936 957 968 988 996 1044 1079 1089 1102 1131 1144 1254 1276 1287 1331 1368 1452 1482 1494 1508 1573 1577 1653 1672 1682 1716 1826 1881 1914 1976 1992 2088 2158 2178 2204 2223 2262 2299 2407 2508 2523 2552 2574 2662 2717 2739 2871 2904 2964 2988 3016 3146 3154 3237 3306 3364 3393 3432 3509 3652 3762 3828 3993 4147 4316 4356 4408 4446 4524 4598 4719 4731 4814 4959 5016 5046 5148 5324 5434 5478 5742 5928 5976 6061 6292 6308 6474 6612 6728 6786 6889 6897 7018 7163 7221 7304 7524 7569 7656 7986 8151 8217 8294 8632 8712 8892 9048 9196 9251 9438 9462 9628 9711 9918 10043 10092 10296 10527 10648 10868 10933 10956 11484 11869 11979 12122 12441 12584 12616 12948 13224 13572 13778 13794 14036 14157 14193 14326 14442 15048 15138 15972 15979 16302 16434 16588 17303 17347 17784 18183 18392 18502 18876 18924 19256 19422 19836 20086 20184 20501 20667 20691 21054 21489 21663 21736 21866 21912 22968 23738 23958 24244 24453 24882 25289 25896 26477 27144 27556 27588 27753 28072 28314 28386 28652 28884 29887 30129 30276 31291 31581 31944 31958 32604 32799 32868 33176 34606 34694 35607 36366 37004 37323 37752 37848 38599 38844 39672 40172 41002 41334 41382 42108 42978 43326 43732 45617 45733 47476 47916 47937 48488 48906 49764 50578 51909 52041 52954 54549 55112 55176 55506 56628 56772 57304 57768 59774 60258 60552 61503 62001 62582 63162 63916 64467 65208 65598 65736 66671 69212 69388 69803 71214 72732 74008 74646 75779 75867 77198 77688 78793 79431 80344 82004 82668 82764 83259 84216 85956 86652 87464 89557 89661 90387 91234 91466 93873 94952 95832 95874 97812 98397 99528 101156 101761 103818 104082 105908 106821 109098 110473 111012 113256 113544 115797 119548 120263 120516 123006 124002 125164 126324 127832 128934 130559 130891 131196 133342 136851 137199 138424 138776 139606 142428 143811 145464 149292 151558 151734 154396 155727 156123 157586 158862 164008 165336 165528 166518 171912 173304 175769 179114 179322 180774 182468 182932 184509 187746 190817 191748 195624 196794 199781 200013 202312 203522 207636 207727 208164 209409 211816 213642 218196 220946 222024 225511 227337 227601 231594 236379 238293 239096 240526 241032 246012 248004 250328 252648 257868 261118 261782 262392 266684 268671 268983 273702 274398 279212 281619 284856 287622 291247 298584 303116 303468 305283 308792 311454 312246 315172 317724 328757 331419 333036 344201 347391 351538 358228 358644 360789 361548 364936 365864 369018 375492 381634 383496 391677 392673 393588 399562 400026 407044 410553 411597 415272 415454 416328 418818 427284 436392 441892 451022 454674 455202 463188 472758 476586 481052 492024 496008 501787 503063 515736 522236 523564 527307 533368 537342 537966 547404 548796 558424 563238 572451 575244 582494 594529 599343 600039 606232 606936 610566 622908 623181 624492 628227 630344 635448 657514 662838 666072 676533 682011 688402 694782 703076 709137 716456 717288 721578 723096 733381 738036 750984 763268 767833 783354 785346 787176 799124 800052 806013 814088 821106 823194 830908 833569 837636 854568 866723 873741 883784 902044 907439 909348 910404 915849 926376 945516 953172 962104 985127 986271 994257 1003574 1006126 1032603 1044472 1047128 1054614 1074684 1075932 1082367 1094808 1097592 1119371 1126476 1144902 1150488 1164988 1175031 1178019 1189058 1198686 1200078 1221132 1245816 1246362 1248984 1256454 1315028 1322893 1325676 1326257 1353066 1364022 1376804 1389564 1406152 1418274 1436149 1439801 1443156 1466762 1476072 1505361 1509189 1526536 1535666 1566708 1570692 1581921 1598248 1600104 1612026 1642212 1646388 1661816 1667138 1675272 1701583 1717353 1733446 1747482 1783587 1798029 1804088 1814878 1818696 1820808 1831698 1869543 1891032 1906344 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43591415076 45470355381 45896449742 46268080914 47224032999 47766837976 50068854264 50474270088 51517126908 53278396204 53737692723 54355367352 54680459262 56974903128 59651410104 60627140508 61690774552 62222591574 62965377332 63548930412 65679402217 68844674613 69402121371 71650256964 72907279016 75103281396 79917594306 81533051028 82020688893 82963455432 86961694248 87182830152 90940710762 91792899484 92536161828 94448065998 100247508647 103034253816 106556792408 107475385446 109360918524 119876391459 121254281016 124445183148 125930754664 127097860824 131358804434 137689349226 138804242742 141672098997 143300513928 146515589561 150206562792 159835188612 163066102056 164041377786 173154787663 181881421524 183585798968 185072323656 188896131996 197038206651 200495017294 206534023839 214950770892 218721837048 239752782918 248890366296 262717608868 275378698452 277608485484 283344197994 293031179122 300742525941 319670377224 328082755572 346309575326 363762843048 377792263992 394076413302 400990034588 413068047678 429901541784 439546768683 479505565836 519464362989 525435217736 550757396904 555216970968 566688395988 586062358244 591114619953 601485051882 656165511144 692619150652 788152826604 801980069176 826136095356 879093537366 902227577823 959011131672 1038928725978 1133376791976 1172124716488 1182229239906 1202970103764 1318640306049 1385238301304 1558393088967 1576305653208 1652272190712 1758187074732 1804455155646 1904702664293 2077857451956 2364458479812 2405940207528 2637280612098 3116786177934 3516374149464 3608910311292 3809405328586 4155714903912 4728916959624 5274561224196 5714107992879 6233572355868 7217820622584 7618810657172 10549122448392 11428215985758 12467144711736 15237621314344 17142323978637 22856431971516 34284647957274 45712863943032 68569295914548 137138591829096
- Sum of all divisors σ(n): 485480219515200
- Sum of proper divisors (its aliquot sum) s(n): 348341627686104
- 137138591829096 is an abundant number, because the sum of its proper divisors (348341627686104) is greater than itself. Its abundance is 211203035857008
Bases of 137138591829096
- Binary: 111110010111010000100010000110100001100011010002
- Hexadecimal: 0x7CBA110D0C68
- Base-36: 1CM0LKREY0
Squares and roots of 137138591829096
- 137138591829096 squared (1371385918290962) is 18806993368867396174872177216
- 137138591829096 cubed (1371385918290963) is 2579164587145620951415242687506365297076736
-
The
square root of 137138591829096 is 11710618.7637159463 -
The
cube root of 137138591829096 is 51568.7449470763
Scales and comparisons
How big is 137138591829096?- 137,138,591,829,096 seconds is equal to 4,360,583 years, 1 week, 1 day, 5 hours, 51 minutes, 36 seconds.
-
To count from 1 to 137,138,591,829,096 would take you about ten million, nine hundred one thousand, four hundred fifty-seven 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 137138591829096 cubic inches would be around 4297.4 feet tall.
Recreational maths with 137138591829096
- 137138591829096 backwards is 690928195831731
- 137138591829096 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137138591829096's digits is 72
- More coming soon!
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"Number 137138591829096 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137138591829096 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137138591829096/
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The information we have on file for 137138591829096 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!
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