12006615513378816

Names of 12006615513378816

• Cardinal: 12006615513378816 can be written as Twelve quadrillion, six trillion, six hundred fifteen billion, five hundred thirteen million, three hundred seventy-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.2006615513378816 × 10¹⁶

Factors of 12006615513378816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 15659

Divisors of 12006615513378816

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 256 264 288 352 363 384 396 484 512 528 576 704 726 768 792 968 1024 1056 1089 1152 1331 1408 1452 1536 1584 1936 2048 2112 2178 2304 2662 2816 2904 3072 3168 3872 3993 4096 4224 4356 4608 5324 5632 5808 6144 6336 7744 7986 8448 8712 9216 10648 11264 11616 11979 12288 12672 15488 15643 15972 16896 17424 18432 21296 22528 23232 23958 25344 30976 31286 31944 33792 34848 36864 42592 45056 46464 46929 47916 50688 61952 62572 63888 67584 69696 85184 92928 93858 95832 101376 123904 125144 127776 135168 139392 140787 170368 172073 185856 187716 191664 202752 247808 250288 255552 278784 281574 340736 344146 371712 375432 383328 405504 495616 500576 511104 516219 557568 563148 681472 688292 743424 750864 766656 1001152 1022208 1032438 1115136 1126296 1362944 1376584 1486848 1501728 1533312 1548657 1892803 2002304 2044416 2064876 2230272 2252592 2725888 2753168 3003456 3066624 3097314 3785606 4004608 4088832 4129752 4460544 4505184 5451776 5506336 5678409 6006912 6133248 6194628 7571212 8009216 8177664 8259504 9010368 11012672 11356818 12013824 12266496 12389256 15142424 16018432 16355328 16519008 17035227 18020736 20820833 22025344 22713636 24027648 24532992 24778512 30284848 32036864 33038016 34070454 36041472 41641666 44050688 45427272 48055296 49065984 49557024 60569696 62462499 64073728 66076032 68140908 72082944 83283332 88101376 90854544 96110592 99114048 121139392 124924998 132152064 136281816 144165888 166566664 176202752 181709088 187387497 192221184 198228096 242278784 244703449 249849996 264304128 272563632 288331776 333133328 352405504 363418176 374774994 396456192 484557568 489406898 499699992 528608256 545127264 576663552 666266656 704811008 726836352 734110347 749549988 792912384 969115136 978813796 999399984 1057216512 1090254528 1332533312 1453672704 1468220694 1499099976 1585824768 1938230272 1957627592 1998799968 2114433024 2180509056 2202331041 2665066624 2691737939 2907345408 2936441388 2998199952 3171649536 3876460544 3915255184 3997599936 4361018112 4404662082 5330133248 5383475878 5814690816 5872882776 5996399904 6343299072 7752921088 7830510368 7995199872 8075213817 8722036224 8809324164 10660266496 10766951756 11629381632 11745765552 11992799808 15661020736 15990399744 16150427634 17444072448 17618648328 21320532992 21533903512 23258763264 23491531104 23985599616 24225641451 29609117329 31322041472 31980799488 32300855268 34888144896 35237296656 42641065984 43067807024 46983062208 47971199232 48451282902 59218234658 62644082944 63961598976 64601710536 69776289792 70474593312 85282131968 86135614048 88827351987 93966124416 95942398464 96902565804 118436469316 125288165888 127923197952 129203421072 140949186624 172271228096 177654703974 187932248832 191884796928 193805131608 236872938632 250576331776 255846395904 258406842144 266482055961 281898373248 325700290619 344542456192 355309407948 375864497664 383769593856 387610263216 473745877264 501152663552 516813684288 532964111922 563796746496 651400581238 689084912384 710618815896 751728995328 767539187712 775220526432 947491754528 977100871857 1002305327104 1033627368576 1065928223844 1127593492992 1302801162476 1378169824768 1421237631792 1503457990656 1550441052864 1894983509056 1954201743714 2067254737152 2131856447688 2255186985984 2605602324952 2756339649536 2842475263584 2931302615571 3006915981312 3100882105728 3789967018112 3908403487428 4134509474304 4263712895376 4510373971968 5211204649904 5512679299072 5684950527168 5862605231142 6201764211456 7579934036224 7816806974856 8269018948608 8527425790752 9020747943936 10422409299808 11025358598144 11369901054336 11725210462284 12403528422912 15159868072448 15633613949712 16538037897216 17054851581504 20844818599616 22739802108672 23450420924568 24807056845824 30319736144896 31267227899424 33076075794432 34109703163008 41689637199232 45479604217344 46900841849136 49614113691648 60639472289792 62534455798848 68219406326016 83379274398464 90959208434688 93801683698272 99228227383296 121278944579584 125068911597696 136438812652032 166758548796928 181918416869376 187603367396544 250137823195392 272877625304064 333517097593856 363836833738752 375206734793088 500275646390784 545755250608128 667034195187712 750413469586176 1000551292781568 1091510501216256 1334068390375424 1500826939172352 2001102585563136 3001653878344704 4002205171126272 6003307756689408 12006615513378816
• Sum of all divisors σ(n): 38149531535401416
• Sum of proper divisors (its aliquot sum) s(n): 26142916022022600
• 12006615513378816 is an abundant number, because the sum of its proper divisors (26142916022022600) is greater than itself. Its abundance is 14136300508643784

Bases of 12006615513378816

• Binary: 101010101001111111010000000100101000010011000000000000₂
• Hexadecimal: 0x2AA7F404A13000
• Base-36: 3A7ZN0R1FK0

Squares and roots of 12006615513378816

• 12006615513378816 squared (12006615513378816²) is 144158816086108849293488717561856
• 12006615513378816 cubed (12006615513378816³) is 1730859477609798119808256136022618008704040042496
• The square root of 12006615513378816 is 109574702.8897583459
• The cube root of 12006615513378816 is 228984.9122950515

Scales and comparisons

• 12,006,615,513,378,816 seconds is equal to 381,773,234 years, 22 weeks, 18 hours, 33 minutes, 36 seconds.
• To count from 1 to 12,006,615,513,378,816 would take you about one billion, one hundred forty-five million, three hundred nineteen thousand, seven hundred three 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 12006615513378816 cubic inches would be around 19082.1 feet tall.

Recreational maths with 12006615513378816

• 12006615513378816 backwards is 61887331551660021
• The number of decimal digits it has is: 17
• The sum of 12006615513378816's digits is 63
• More coming soon!