42006815505408

Names of 42006815505408

• Cardinal: 42006815505408 can be written as Forty-two trillion, six billion, eight hundred fifteen million, five hundred five thousand, four hundred eight.

Scientific notation

• Scientific notation: 4.2006815505408 × 10¹³

Factors of 42006815505408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 241

Divisors of 42006815505408

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 89 96 97 104 111 128 148 156 178 192 194 208 222 256 267 291 296 312 356 384 388 416 444 481 512 534 582 592 624 712 768 776 832 888 962 1024 1068 1157 1164 1184 1248 1261 1369 1424 1443 1536 1552 1664 1776 1924 2136 2314 2328 2368 2496 2522 2738 2848 2886 3072 3104 3293 3328 3471 3552 3589 3783 3848 4107 4272 4628 4656 4736 4992 5044 5476 5696 5772 6208 6586 6656 6942 7104 7178 7566 7696 7921 8214 8544 8633 9256 9312 9472 9879 9984 10088 10767 10952 11392 11544 12416 13172 13312 13884 14208 14356 15132 15392 15842 16428 17088 17266 17797 18512 18624 18944 19758 19968 20176 21534 21904 22784 23088 23763 24832 25899 26344 27768 28416 28712 30264 30784 31684 32856 34176 34532 35594 37024 37248 37888 39516 39936 40352 42809 43068 43808 45568 46176 46657 47526 49664 51798 52688 53391 55536 56832 57424 60528 61568 63368 65712 68352 69064 71188 74048 74496 79032 80704 85618 86136 87616 91136 92352 93314 95052 99328 102973 103596 105376 106782 111072 112229 113664 114848 121056 121841 123136 126736 128427 131424 132793 136704 138128 139971 142376 148096 148992 158064 161408 171236 172272 175232 184704 186628 190104 205946 207192 210752 213564 222144 224458 229696 242112 243682 246272 253472 256854 262848 265586 273408 276256 279942 284752 293077 296192 297984 308919 316128 319421 322816 336687 342472 344544 350464 365523 369408 373256 380208 398379 411892 414384 421504 427128 444288 448916 459392 484224 487364 492544 506944 513708 525696 531172 552512 559884 569504 586154 592384 617838 632256 638842 645632 673374 684944 689088 700928 731046 738816 746512 760416 768337 796758 823784 828768 843008 854256 879231 888576 897832 918784 958263 968448 974728 1013888 1027416 1051392 1062344 1105024 1119768 1139008 1172308 1184768 1235676 1264512 1277684 1291264 1346748 1369888 1378176 1401856 1462092 1477632 1493024 1520832 1536674 1583933 1593516 1647568 1657536 1686016 1708512 1726309 1758462 1777152 1795664 1837568 1916526 1936896 1949456 2027776 2054832 2102784 2124688 2210048 2239536 2278016 2305011 2344616 2471352 2529024 2555368 2693496 2739776 2756352 2924184 2986048 3041664 3073348 3167866 3187032 3295136 3315072 3372032 3417024 3452618 3516924 3554304 3591328 3675136 3810001 3833052 3873792 3898912 4055552 4109664 4152473 4205568 4249376 4420096 4479072 4556032 4610022 4689232 4751799 4942704 5058048 5110736 5178927 5386992 5479552 5512704 5848368 5972096 6083328 6146696 6335732 6374064 6590272 6630144 6834048 6905236 7033848 7182656 7620002 7666104 7797824 8111104 8219328 8304946 8498752 8840192 8958144 9112064 9220044 9378464 9503598 9885408 9988381 10116096 10221472 10357854 10773984 10843849 10959104 11025408 11430003 11696736 11818577 11944192 12166656 12293392 12457419 12671464 12748128 13180544 13260288 13668096 13810472 14067696 14365312 15240004 15332208 15595648 16438656 16609892 16997504 17916288 18224128 18440088 18756928 19007196 19770816 19976762 20442944 20715708 21547968 21687698 21918208 22860006 23393472 23637154 23888384 24333312 24586784 24914838 25342928 25496256 26361088 26520576 27336192 27620944 28135392 28428469 28730624 29965143 30480008 30664416 31191296 32531547 32877312 33219784 33995008 35455731 35832576 36880176 37513856 38014392 39541632 39953524 40885888 41431416 43095936 43375396 43836416 45720012 46786944 47274308 47776768 49173568 49829676 50685856 50992512 52722176 54672384 55241888 56270784 56856938 57461248 59930286 60960016 61328832 62382592 65063094 65754624 66439568 67990016 70911462 71665152 73760352 75027712 76028784 79083264 79907048 81771776 82862832 85285407 86191872 86750792 91440024 93573888 94548616 98347136 99659352 101371712 101985024 105444352 110483776 112541568 113713876 114922496 119860572 121920032 122657664 124765184 130126188 131509248 132879136 135980032 140970037 141822924 143330304 147520704 150055424 152057568 153641501 158166528 159814096 163543552 165725664 170570814 172383744 173501584 182880048 187147776 189097232 196694272 199318704 202743424 203970048 220967552 225083136 227427752 239721144 243840064 245315328 260252376 265758272 281940074 283645848 295041408 300110848 304115136 307283002 316333056 319628192 327087104 331451328 341141628 344767488 347003168 365760096 369570097 374295552 378194464 393388544 398637408 405486848 407940096 422910111 441935104 450166272 454855504 460924503 479442288 487680128 490630656 520504752 531516544 563880148 567291696 590082816 608230272 614566004 639256384 662902656 682283256 694006336 731520192 739140194 756388928 786777088 797274816 810973696 845820222 883870208 900332544 909711008 921849006 958884576 975360256 981261312 1041009504 1051853353 1063033088 1108710291 1127760296 1134583392 1180165632 1216460544 1229132008 1278512768 1325805312 1364566512 1388012672 1463040384 1478280388 1512777856 1594549632 1621947392 1691640444 1767740416 1819422016 1843698012 1917769152 1950720512 2082019008 2103706706 2126066176 2217420582 2255520592 2269166784 2360331264 2432921088 2458264016 2557025536 2651610624 2729133024 2776025344 2926080768 2956560776 3025555712 3155560059 3189099264 3383280888 3638844032 3687396024 3835538304 3901441024 4164038016 4207413412 4252132352 4434841164 4511041184 4538333568 4865842176 4916528032 5114051072 5303221248 5458266048 5552050688 5852161536 5913121552 6051111424 6311120118 6378198528 6766561776 7277688064 7374792048 7671076608 8328076032 8414826824 8869682328 9022082368 9076667136 9833056064 10228102144 10916532096 11104101376 11704323072 11826243104 12102222848 12622240236 12756397056 13533123552 13674093589 14555376128 14749584096 15342153216 16656152064 16829653648 17739364656 18044164736 18153334272 19666112128 21833064192 23652486208 25244480472 27066247104 27348187178 29110752256 29499168192 30684306432 33312304128 33659307296 35478729312 36088329472 36306668544 39332224256 41022280767 43666128384 47304972416 50488960944 54132494208 54696374356 58998336384 67318614592 70957458624 72176658944 78664448512 82044561534 87332256768 94609944832 100977921888 108264988416 109392748712 117996672768 134637229184 141914917248 144353317888 157328897024 164089123068 189219889664 201955843776 216529976832 218785497424 235993345536 269274458368 283829834496 328178246136 378439779328 403911687552 433059953664 437570994848 471986691072 538548916736 567659668992 656356492272 807823375104 875141989696 1077097833472 1135319337984 1312712984544 1615646750208 1750283979392 2625425969088 3231293500416 3500567958784 5250851938176 7001135917568 10501703876352 14002271835136 21003407752704 42006815505408
• Sum of all divisors σ(n): 126623051243472
• Sum of proper divisors (its aliquot sum) s(n): 84616235738064
• 42006815505408 is an abundant number, because the sum of its proper divisors (84616235738064) is greater than itself. Its abundance is 42609420232656

Bases of 42006815505408

• Binary: 1001100011010001111001010100001111110000000000₂
• Hexadecimal: 0x26347950FC00
• Base-36: EW1NXD91C

Squares and roots of 42006815505408

• 42006815505408 squared (42006815505408²) is 1764572548905385966477246464
• 42006815505408 cubed (42006815505408³) is 74124073507776083594579204467984340877312
• The square root of 42006815505408 is 6481266.5047356293
• The cube root of 42006815505408 is 34762.1465756139

Scales and comparisons

• 42,006,815,505,408 seconds is equal to 1,335,686 years, 41 weeks, 3 days, 6 hours, 36 minutes, 48 seconds.
• To count from 1 to 42,006,815,505,408 would take you about three million, three hundred thirty-nine thousand, two hundred sixteen 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 42006815505408 cubic inches would be around 2896.8 feet tall.

Recreational maths with 42006815505408

• 42006815505408 backwards is 80450551860024
• 42006815505408 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42006815505408's digits is 48
• More coming soon!