135402737812992
135,402,737,812,992 is an even composite number composed of six prime numbers multiplied together.
135402737812992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand divisors.
Prime factorization of 135402737812992:
29 × 34 × 13 × 174 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 17 × 17 × 17 × 17 × 31 × 97)See below for interesting mathematical facts about the number 135402737812992 from the Numbermatics database.
Names of 135402737812992
- Cardinal: 135402737812992 can be written as One hundred thirty-five trillion, four hundred two billion, seven hundred thirty-seven million, eight hundred twelve thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.35402737812992 × 1014
Factors of 135402737812992
Divisors of 135402737812992
- Number of divisors d(n): 2000
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 31 32 34 36 39 48 51 52 54 62 64 68 72 78 81 93 96 97 102 104 108 117 124 128 136 144 153 156 162 186 192 194 204 208 216 221 234 248 256 272 279 288 289 291 306 312 324 351 372 384 388 403 408 416 432 442 459 468 496 512 527 544 558 576 578 582 612 624 648 663 702 744 768 776 806 816 832 837 864 867 873 884 918 936 992 1053 1054 1088 1116 1152 1156 1164 1209 1224 1248 1261 1296 1326 1377 1404 1488 1536 1552 1581 1612 1632 1649 1664 1674 1728 1734 1746 1768 1836 1872 1984 1989 2106 2108 2176 2232 2304 2312 2328 2418 2448 2496 2511 2522 2592 2601 2619 2652 2754 2808 2976 3007 3104 3162 3224 3264 3298 3328 3348 3456 3468 3492 3536 3627 3672 3744 3757 3783 3968 3978 4212 4216 4352 4464 4608 4624 4656 4743 4836 4896 4913 4947 4992 5022 5044 5184 5202 5238 5304 5508 5616 5952 5967 6014 6208 6324 6448 6528 6596 6656 6696 6851 6912 6936 6984 7072 7254 7344 7488 7514 7566 7803 7857 7936 7956 8424 8432 8704 8928 8959 9021 9248 9312 9486 9672 9792 9826 9894 9984 10044 10088 10368 10404 10476 10608 10881 11016 11232 11271 11349 11904 11934 12028 12416 12648 12896 13056 13192 13392 13702 13824 13872 13968 14144 14229 14508 14688 14739 14841 14976 15028 15132 15606 15714 15872 15912 16848 16864 17856 17901 17918 18042 18496 18624 18972 19344 19584 19652 19788 19968 20088 20176 20553 20736 20808 20952 21216 21437 21762 22032 22464 22542 22698 23409 23808 23868 24056 24832 25296 25792 26112 26384 26784 26877 27063 27404 27744 27936 28033 28288 28458 29016 29376 29478 29682 29952 30056 30264 31212 31428 31824 32643 33696 33728 33813 34047 35712 35802 35836 36084 36992 37248 37944 38688 39091 39168 39304 39576 40176 40352 41106 41472 41616 41904 42432 42687 42874 43524 44064 44217 44523 44928 45084 45396 46818 47616 47736 48112 49664 50592 51119 51584 52768 53568 53754 54126 54808 55488 55872 56066 56576 56916 58032 58752 58956 59364 59904 60112 60528 61659 62424 62856 63648 63869 64311 65286 67392 67456 67626 68094 71424 71604 71672 72168 73984 74496 75888 77376 78182 78336 78608 79152 80352 80631 80704 81189 82212 83232 83521 83808 84099 84864 85374 85748 87048 88128 88434 89046 89856 90168 90792 93636 95472 96224 101184 101439 102141 102238 103168 105536 107136 107508 108252 109616 110976 111744 112132 113152 113832 116064 116467 117273 117504 117912 118728 120224 121056 123318 124848 125712 127296 127738 128622 130572 132651 133569 134784 134912 135252 136188 142848 143208 143344 144336 147968 148992 151776 152303 153357 154752 156364 157216 158304 160704 161262 161408 162378 164424 166464 167042 167616 168198 169728 170748 171496 174096 176256 176868 178092 179712 180336 181584 184977 187272 190944 191607 192448 192933 202368 202878 204282 204476 206336 211072 214272 215016 216504 219232 221952 223488 224264 227664 232128 232934 234546 235008 235824 237456 240448 241893 242112 243567 246636 249696 250563 251424 252297 254592 255476 257244 261144 265302 267138 269568 269824 270504 272376 286416 286688 288672 303552 304317 304606 306714 309504 312728 314432 316608 321408 322524 322816 324756 328848 332928 334084 335232 336396 339456 341496 342992 348192 349401 351819 352512 353736 356184 360672 363168 364429 369954 374544 381888 383214 384896 385866 397953 404736 405756 408564 408952 422144 428544 430032 433008 438464 443904 446976 448528 455328 456909 460071 464256 465868 469092 471648 474912 476561 480896 483786 484224 487134 493272 499392 501126 502848 504594 509184 510952 514488 522288 530604 534276 539136 541008 544752 554931 572832 573376 574821 577344 578799 607104 608634 609212 613428 619008 625456 628864 633216 642816 645048 645632 649512 657696 664547 665856 668168 670464 672792 682992 685984 696384 698802 703638 705024 707472 712368 721344 725679 726336 728858 739908 749088 751689 756891 763776 766428 769792 771732 795906 809472 811512 817128 817904 844288 860064 866016 869023 876928 897056 910656 913818 920142 928512 931736 938184 943296 949824 953122 961792 967572 968448 974268 986544 998784 1002252 1005696 1009188 1018368 1021904 1028976 1044576 1048203 1055457 1061208 1068552 1082016 1085773 1089504 1093287 1109862 1145664 1146752 1149642 1154688 1157598 1214208 1217268 1218424 1226856 1250912 1257728 1266432 1285632 1290096 1299024 1315392 1329094 1331712 1336336 1340928 1345584 1365984 1370727 1371968 1380213 1392768 1397604 1407276 1414944 1424736 1429683 1442688 1451358 1452672 1457716 1479816 1498176 1503378 1513782 1527552 1532856 1539584 1543464 1591812 1623024 1634256 1635808 1720128 1724463 1732032 1736397 1738046 1753856 1794112 1821312 1827636 1840284 1857024 1863472 1876368 1886592 1899648 1906244 1923584 1935144 1936896 1948536 1973088 1979939 1993641 1997568 2004504 2011392 2018376 2043808 2057952 2089152 2096406 2110914 2122416 2137104 2164032 2171546 2179008 2186574 2219724 2255067 2270673 2291328 2293504 2299284 2309376 2315196 2428416 2434536 2436848 2453712 2501824 2515456 2532864 2580192 2589151 2598048 2607069 2630784 2658188 2672672 2691168 2731968 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3370239392 3421334592 3445011648 3456973494 3463782912 3499863984 3568488768 3635168004 3660324876 3752431488 3778399872 3781988096 3791519316 3976935936 4004457984 4014549864 4018362352 4147986944 4254736608 4308347264 4338162816 4474052928 4505015232 4520657646 4561779456 4593348864 4609297992 4666485312 4757985024 4786578684 4830119424 4846890672 4880433168 4940984448 5003241984 5037866496 5055359088 5132001888 5185460241 5249795976 5352733152 5452752006 5628647232 5672982144 5687278974 5784217088 5965403904 6006686976 6027543528 6145730656 6221980416 6316310016 6382104912 6462520896 6507244224 6529838822 6587979264 6711079392 6740478784 6780986469 6842669184 6890023296 6913946988 6999727968 7136977536 7270336008 7320649752 7504862976 7556799744 7563976192 7583038632 8029099728 8036724704 8509473216 8530918461 8616694528 8676325632 8948105856 9010030464 9041315292 9123558912 9186697728 9218595984 9332970624 9515970048 9573157368 9693781344 9760866336 9794758233 9881968896 10110718176 10264003776 10370920482 10499591952 10705466304 10905504012 11257294464 11345964288 11374557948 11930807808 12013373952 12055087056 12291461312 12443960832 12764209824 12925041792 13014488448 13059677644 13422158784 13480957568 13561972938 13685338368 13780046592 13827893976 13999455936 14273955072 14540672016 14641299504 15009725952 15113599488 15166077264 15556380723 16058199456 16073449408 17018946432 17061836922 17233389056 17352651264 17896211712 18020060928 18082630584 18437191968 18665941248 19146314736 19387562688 19521732672 19589516466 19763937792 20221436352 20342959407 20528007552 20741840964 20999183904 21410932608 21811008024 22514588928 22691928576 22749115896 24110174112 24582922624 25528419648 25850083584 26028976896 26119355288 26844317568 26961915136 27123945876 27370676736 27560093184 27655787952 27998911872 28547910144 29081344032 29282599008 29384274699 30332154528 31112761446 32116398912 32146898816 34037892864 34123673844 35792423424 36040121856 36165261168 36874383936 37331882496 38292629472 38775125376 39043465344 39179032932 40442872704 40685918814 41056015104 41483681928 41998367808 42821865216 43622016048 45029177856 45498231792 48220348224 49165845248 51056839296 51700167168 52057953792 52238710576 53688635136 53923830272 54247891752 55311575904 55997823744 58162688064 58565198016 58768549398 60664309056 62225522892 64232797824 64293797632 68075785728 68247347688 72330522336 73748767872 76585258944 77550250752 78086930688 78358065864 80885745408 81371837628 82112030208 82967363856 83996735616 85643730432 87244032096 88152824097 90996463584 96440696448 98331690496 102113678592 104477421152 107377270272 108495783504 110623151808 111995647488 116325376128 117130396032 117537098796 121328618112 124451045784 128465595648 128587595264 136494695376 144661044672 147497535744 153170517888 155100501504 156173861376 156716131728 161771490816 162743675256 165934727712 167993471232 174488064192 176305648194 181992927168 192881392896 204227357184 208954842304 216991567008 221246303616 232650752256 234260792064 235074197592 242657236224 248902091568 256931191296 264458472291 272989390752 289322089344 294995071488 306341035776 313432263456 325487350512 331869455424 335986942464 348976128384 352611296388 363985854336 385762785792 417909684608 433983134016 442492607232 465301504512 468521584128 470148395184 485314472448 497804183136 528916944582 545978781504 578644178688 612682071552 626864526912 650974701024 663738910848 697952256768 705222592776 727971708672 835819369216 867966268032 884985214464 940296790368 995608366272 1057833889164 1091957563008 1157288357376 1253729053824 1301949402048 1327477821696 1395904513536 1410445185552 1455943417344 1671638738432 1735932536064 1880593580736 1991216732544 2115667778328 2183915126016 2507458107648 2603898804096 2654955643392 2820890371104 3471865072128 3761187161472 3982433465088 4231335556656 4367830252032 5014916215296 5207797608192 5641780742208 7522374322944 7964866930176 8462671113312 10415595216384 11283561484416 15044748645888 16925342226624 22567122968832 33850684453248 45134245937664 67701368906496 135402737812992
- Sum of all divisors σ(n): 482269072720512
- Sum of proper divisors (its aliquot sum) s(n): 346866334907520
- 135402737812992 is an abundant number, because the sum of its proper divisors (346866334907520) is greater than itself. Its abundance is 211463597094528
Bases of 135402737812992
- Binary: 111101100100101111010000001011011000110000000002
- Hexadecimal: 0x7B25E816C600
- Base-36: 1BZV5Q3K00
Squares and roots of 135402737812992
- 135402737812992 squared (1354027378129922) is 18333901407253853579163992064
- 135402737812992 cubed (1354027378129923) is 2482460445335638601302175626343571404095488
-
The
square root of 135402737812992 is 11636268.2081925217 -
The
cube root of 135402737812992 is 51350.2404951517
Scales and comparisons
How big is 135402737812992?- 135,402,737,812,992 seconds is equal to 4,305,388 years, 12 weeks, 1 day, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 135,402,737,812,992 would take you about ten million, seven hundred sixty-three thousand, four hundred seventy 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 135402737812992 cubic inches would be around 4279.2 feet tall.
Recreational maths with 135402737812992
- 135402737812992 backwards is 299218737204531
- The number of decimal digits it has is: 15
- The sum of 135402737812992's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 135402737812992 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 135402737812992 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/135402737812992/
Chicago style:
Numbermatics. 2024. "Number 135402737812992 - Facts about the integer". https://numbermatics.com/n/135402737812992/
The information we have on file for 135402737812992 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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