3978430434506688

Names of 3978430434506688

• Cardinal: 3978430434506688 can be written as Three quadrillion, nine hundred seventy-eight trillion, four hundred thirty billion, four hundred thirty-four million, five hundred six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.978430434506688 × 10¹⁵

Factors of 3978430434506688

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 9116638

Divisors of 3978430434506688

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 19 24 31 32 34 38 48 51 57 62 64 68 76 93 96 102 114 124 136 152 186 192 204 227 228 248 272 304 323 372 408 454 456 496 527 544 589 608 646 681 744 816 908 912 969 992 1054 1088 1178 1216 1292 1362 1488 1581 1632 1767 1816 1824 1938 1984 2108 2356 2584 2724 2976 3162 3264 3534 3632 3648 3859 3876 4216 4313 4712 5168 5448 5952 6324 7037 7068 7264 7718 7752 8432 8626 9424 10013 10336 10896 11577 12648 12939 14074 14136 14528 15436 15504 16864 17252 18848 20026 20672 21111 21792 23154 25296 25878 28148 28272 30039 30872 31008 33728 34504 37696 40052 42222 43584 46308 50592 51756 56296 56544 60078 61744 62016 69008 73321 80104 84444 92616 101184 103512 112592 113088 119629 120156 123488 133703 138016 146642 160208 168888 185232 207024 219963 225184 239258 240312 246976 267406 276032 293284 320416 337776 358887 370464 401109 414048 439926 450368 478516 480624 534812 586568 640832 675552 717774 740928 802218 828096 879852 957032 961248 1069624 1173136 1351104 1435548 1604436 1759704 1914064 1922496 2139248 2272951 2346272 2871096 3208872 3519408 3828128 4278496 4545902 4692544 5742192 6417744 6818853 7038816 7656256 8556992 9091804 9116339 11484384 12835488 13637706 14077632 18183608 18232678 22968768 25670976 27275412 27349017 36367216 36465356 54550824 54698034 72734432 72930712 109101648 109396068 145468864 145861424 154977763 173210441 218203296 218792136 282606509 291722848 309955526 346420882 436406592 437584272 464933289 519631323 565213018 583445696 619911052 692841764 847819527 875168544 929866578 1039262646 1130426036 1239822104 1385683528 1695639054 1750337088 1859733156 2069408953 2078525292 2260852072 2479644208 2771367056 2944577497 3391278108 3719466312 4138817906 4157050584 4521704144 4804310653 4959288416 5369523671 5542734112 5889154994 6208226859 6782556216 7438932624 8277635812 8314101168 8833732491 9043408288 9608621306 9918576832 10739047342 11085468224 11778309988 12416453718 13565112432 14412931959 14877865248 16108571013 16555271624 16628202336 17667464982 18086816576 19217242612 21478094684 23556619976 24832907436 27130224864 28825863918 29755730496 32217142026 33110543248 33256404672 35179952201 35334929964 38434485224 39318770107 42956189368 47113239952 49665814872 54260449728 57651727836 64151677543 64434284052 66221086496 70359904402 70669859928 76868970448 78637540214 85912378736 91281902407 94226479904 99331629744 105539856603 115303455672 117956310321 128303355086 128868568104 132442172992 140719808804 141339719856 153737940896 157275080428 171824757472 182563804814 188452959808 192455032629 198663259488 211079713206 230606911344 235912620642 256606710172 257737136208 273845707221 281439617608 282679439712 307475881792 314550160856 343649514944 365127609628 384910065258 397326518976 422159426412 461213822688 471825241284 513213420344 515474272416 547691414442 562879235216 565358879424 629100321712 668419091819 730255219256 769820130516 844318852824 922427645376 943650482568 1026426840688 1030948544832 1090578518231 1095382828884 1125758470432 1218881873317 1258200643424 1336838183638 1460510438512 1539640261032 1688637705648 1887300965136 2005257275457 2052853681376 2181157036462 2190765657768 2251516940864 2437763746634 2516401286848 2673676367276 2921020877024 3079280522064 3271735554693 3377275411296 3656645619951 3774601930272 4010514550914 4105707362752 4362314072924 4381531315536 4875527493268 5347352734552 5842041754048 6158561044128 6543471109386 6754550822592 7313291239902 7549203860544 8021029101828 8724628145848 8763062631072 9751054986536 10694705469104 12317122088256 13086942218772 14626582479804 16042058203656 17449256291696 17526125262144 19502109973072 20720991846389 21389410938208 26173884437544 29253164959608 32084116407312 34898512583392 39004219946144 41441983692778 42778821876416 52347768875088 58506329919216 62162975539167 64168232814624 69797025166784 78008439892288 82883967385556 104695537750176 117012659838432 124325951078334 128336465629248 165767934771112 209391075500352 234025319676864 248651902156668 331535869542224 497303804313336 663071739084448 994607608626672 1326143478168896 1989215217253344 3978430434506688
• Sum of all divisors σ(n): 12163863907123200
• Sum of proper divisors (its aliquot sum) s(n): 8185433472616512
• 3978430434506688 is an abundant number, because the sum of its proper divisors (8185433472616512) is greater than itself. Its abundance is 4207003038109824

Bases of 3978430434506688

• Binary: 1110001000100101110010000100110011111111011111000000₂
• Hexadecimal: 0xE225C84CFF7C0
• Base-36: 1368HPKOBEO

Squares and roots of 3978430434506688

• 3978430434506688 squared (3978430434506688²) is 15827908722209074275741916729344
• 3978430434506688 cubed (3978430434506688³) is 62970233775030444224216820872143030759053852672
• The square root of 3978430434506688 is 63074800.3128562267
• The cube root of 3978430434506688 is 158454.2611939367

Scales and comparisons

• 3,978,430,434,506,688 seconds is equal to 126,501,781 years, 37 weeks, 4 days, 12 hours, 44 minutes, 48 seconds.
• To count from 1 to 3,978,430,434,506,688 would take you about three hundred seventy-nine million, five hundred five thousand, three hundred forty-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 3978430434506688 cubic inches would be around 13204.5 feet tall.

Recreational maths with 3978430434506688

• 3978430434506688 backwards is 8866054340348793
• The number of decimal digits it has is: 16
• The sum of 3978430434506688's digits is 78
• More coming soon!