40141200304128

Names of 40141200304128

• Cardinal: 40141200304128 can be written as Forty trillion, one hundred forty-one billion, two hundred million, three hundred four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0141200304128 × 10¹³

Factors of 40141200304128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 123

Divisors of 40141200304128

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 49 56 58 64 66 71 77 84 87 88 96 98 112 116 128 132 142 147 154 168 174 176 192 196 203 213 224 231 232 256 264 284 294 308 319 336 343 348 352 384 392 406 426 448 462 464 497 512 528 539 568 588 609 616 638 672 686 696 704 768 781 784 812 841 852 896 924 928 957 994 1024 1029 1056 1078 1136 1176 1218 1232 1276 1344 1372 1392 1408 1421 1491 1536 1562 1568 1617 1624 1682 1704 1792 1848 1856 1914 1988 2048 2058 2059 2112 2156 2233 2272 2343 2352 2436 2464 2523 2552 2688 2744 2784 2816 2842 2982 3072 3124 3136 3234 3248 3364 3408 3479 3584 3696 3712 3773 3828 3976 4116 4118 4224 4263 4312 4466 4544 4686 4704 4872 4928 5046 5104 5376 5467 5488 5568 5632 5684 5887 5964 6144 6177 6248 6272 6468 6496 6699 6728 6816 6958 7168 7392 7424 7546 7656 7952 8232 8236 8448 8526 8624 8932 9088 9251 9372 9408 9744 9856 9947 10092 10208 10437 10752 10934 10976 11136 11264 11319 11368 11774 11928 12354 12496 12544 12936 12992 13398 13456 13632 13916 14336 14413 14784 14848 15092 15312 15631 15904 16401 16464 16472 16896 17052 17248 17661 17864 18176 18502 18744 18816 19488 19712 19894 20184 20416 20874 21504 21868 21952 22272 22528 22638 22649 22736 23548 23856 24353 24389 24708 24992 25088 25872 25984 26796 26912 27264 27753 27832 28826 29568 29696 29841 30184 30624 31262 31808 32802 32928 32944 33792 34104 34496 35322 35728 36352 37004 37488 37632 38269 38976 39424 39788 40368 40832 41209 41748 43008 43239 43736 43904 44544 45276 45298 45472 46893 47096 47712 48706 48778 49416 49984 50176 51744 51968 53592 53824 54528 55506 55664 57652 59136 59392 59682 59711 60368 61248 62524 63616 64757 65604 65856 65888 67584 67947 68208 68992 70644 71456 72704 73059 73167 74008 74976 75264 76538 77952 78848 79576 80736 81664 82418 83496 86478 87472 87808 89088 90552 90596 90944 93786 94192 95424 97412 97556 98832 99968 100352 100891 103488 103936 107184 107648 109056 109417 111012 111328 114807 115304 118272 119364 119422 120736 122496 123627 125048 127232 129514 131208 131712 131776 135894 136416 137984 141288 142912 145408 146118 146334 148016 149952 150528 153076 155904 157696 158543 159152 161472 163328 164836 166992 170723 172956 174944 175616 178176 179133 181104 181192 181888 187572 188384 190848 194271 194824 195112 197664 199936 201782 206976 207872 214368 215296 218112 218834 222024 222656 229614 230608 236544 238728 238844 241472 244992 247254 250096 254464 259028 262416 263424 263552 267883 268279 271788 272832 275968 282576 285824 288463 292236 292668 296032 299904 301056 302673 306152 311808 317086 318304 322944 326656 328251 329672 333984 341446 345912 349888 351232 358266 362208 362384 363776 375144 376768 381696 388542 389648 390224 395328 399872 403564 413952 415744 417977 428736 430592 436224 437668 444048 445312 453299 459228 461216 473088 475629 477456 477688 482944 489984 494508 500192 508928 512169 518056 524832 526848 527104 535766 536558 543576 545664 551936 565152 571648 576926 584472 585336 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675868809 678794648 696267264 721133952 723186688 736157576 745786272 749014784 772421496 775765312 800007978 803080992 812311808 822936576 824153088 841322944 852327168 856016896 882767424 886158336 886588928 901158412 914294832 917806848 928356352 933342641 961511936 974088192 983081904 994381696 1008877056 1018191972 1029895328 1048922112 1066677304 1070774656 1084780032 1104236364 1123522176 1136436224 1163647968 1177023232 1187890634 1218467712 1219059776 1223742464 1261984416 1284025344 1310775872 1329883392 1345169408 1351737618 1357589296 1392534528 1442267904 1446373376 1472315152 1491572544 1498029568 1544842992 1551530624 1600015956 1606161984 1624623616 1645873152 1648306176 1682645888 1704654336 1765534848 1772316672 1773177856 1781835951 1802316824 1828589664 1835613696 1866685282 1923023872 1966163808 1988763392 2017754112 2036383944 2059790656 2133354608 2141549312 2169560064 2208472728 2247044352 2272872448 2327295936 2354046464 2375781268 2436935424 2438119552 2447484928 2523968832 2568050688 2621551744 2659766784 2703475236 2715178592 2785069056 2800027923 2884535808 2944630304 2983145088 2996059136 3089685984 3103061248 3200031912 3212323968 3249247232 3365291776 3409308672 3531069696 3546355712 3563671902 3604633648 3657179328 3671227392 3733370564 3846047744 3932327616 3977526784 4035508224 4072767888 4119581312 4266709216 4283098624 4339120128 4416945456 4494088704 4654591872 4708092928 4751562536 4873870848 4876239104 5047937664 5243103488 5319533568 5406950472 5430357184 5600055846 5769071616 5889260608 5966290176 5992118272 6179371968 6206122496 6400063824 6424647936 6498494464 6533398487 6730583552 6818617344 7062139392 7127343804 7209267296 7314358656 7342454784 7466741128 7864655232 7955053568 8145535776 8239162624 8533418432 8566197248 8833890912 8988177408 9309183744 9416185856 9503125072 9747741696 9752478208 10095875328 10486206976 10639067136 10813900944 10860714368 11200111692 11538143232 11778521216 11932580352 12358743936 12412244992 12800127648 12849295872 13066796974 13461167104 14124278784 14254687608 14418534592 14628717312 14933482256 15729310464 15910107136 16291071552 16478325248 17066836864 17132394496 17667781824 17976354816 18618367488 19006250144 19495483392 19504956416 19600195461 20191750656 20972413952 21627801888 21721428736 22400223384 23557042432 23865160704 24717487872 24824489984 25600255296 25698591744 26133593948 26922334208 28248557568 28509375216 28837069184 29257434624 29866964512 31458620928 32582143104 32956650496 34133673728 35335563648 37236734976 38012500288 39009912832 39200390922 40383501312 41944827904 43255603776 43442857472 44800446768 47114084864 47730321408 49434975744 51200510592 51397183488 52267187896 57018750432 57674138368 58514869248 59733929024 62917241856 65164286208 65913300992 68267347456 70671127296 74473469952 76025000576 78400781844 80767002624 86511207552 86885714944 89600893536 94228169728 98869951488 102401021184 104534375792 114037500864 115348276736 117029738496 119467858048 125834483712 130328572416 136534694912 141342254592 152050001152 156801563688 173022415104 173771429888 179201787072 188456339456 197739902976 204802042368 209068751584 228075001728 230696553472 238935716096 260657144832 273069389824 282684509184 304100002304 313603127376 346044830208 358403574144 409604084736 418137503168 456150003456 461393106944 477871432192 521314289664 565369018368 608200004608 627206254752 692089660416 716807148288 819208169472 836275006336 912300006912 955742864384 1216400009216 1254412509504 1384179320832 1433614296576 1672550012672 1824600013824 1911485728768 2508825019008 2867228593152 3345100025344 3649200027648 5017650038016 5734457186304 6690200050688 10035300076032 13380400101376 20070600152064 40141200304128
• Sum of all divisors σ(n): 142995041280000
• Sum of proper divisors (its aliquot sum) s(n): 102853840975872
• 40141200304128 is an abundant number, because the sum of its proper divisors (102853840975872) is greater than itself. Its abundance is 62712640671744

Bases of 40141200304128

• Binary: 1001001000001000011001111111000010100000000000₂
• Hexadecimal: 0x248219FC2800
• Base-36: E88M28UTC

Squares and roots of 40141200304128

• 40141200304128 squared (40141200304128²) is 1611315961856125839693840384
• 40141200304128 cubed (40141200304128³) is 64680156778105419403698224996629088305152
• The square root of 40141200304128 is 6335708.3506209469
• The cube root of 40141200304128 is 34239.7131958391

Scales and comparisons

• 40,141,200,304,128 seconds is equal to 1,276,366 years, 1 day, 17 hours, 48 minutes, 48 seconds.
• To count from 1 to 40,141,200,304,128 would take you about three million, one hundred ninety thousand, nine hundred fifteen 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 40141200304128 cubic inches would be around 2853.3 feet tall.

Recreational maths with 40141200304128

• 40141200304128 backwards is 82140300214104
• The number of decimal digits it has is: 14
• The sum of 40141200304128's digits is 30
• More coming soon!