106462987217129984

Names of 106462987217129984

• Cardinal: 106462987217129984 can be written as One hundred six quadrillion, four hundred sixty-two trillion, nine hundred eighty-seven billion, two hundred seventeen million, one hundred twenty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.06462987217129984 × 10¹⁷

Factors of 106462987217129984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2950

Divisors of 106462987217129984

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 56 64 112 128 149 199 224 256 298 398 448 512 596 796 896 1043 1192 1393 1592 1792 2086 2384 2593 2786 3184 3584 4172 4768 5186 5572 6368 8344 9536 10372 11144 12736 16688 18151 19072 20744 22201 22288 25472 29651 33376 36302 38144 41488 44402 44576 50944 59302 66752 72604 76288 82976 88804 89152 101888 118604 133504 145208 155407 165952 177608 178304 207557 237208 267008 290416 310814 331904 355216 356608 386357 415114 474416 516007 534016 580832 621628 663808 710432 713216 772714 830228 948832 1032014 1161664 1243256 1327616 1420864 1545428 1660456 1897664 2064028 2323328 2486512 2704499 2841728 3090856 3320912 3612049 3795328 4128056 4417999 4646656 4973024 5408998 5683456 6181712 6641824 6723649 7224098 7590656 8256112 8835998 9293312 9946048 10817996 11366912 12363424 13283648 13447298 14448196 15181312 16512224 17671996 19892096 21635992 24726848 26567296 26894596 28896392 30925993 33024448 35343992 39784192 43271984 47065543 49453696 53134592 53789192 57567193 57792784 61851986 66048896 70687984 76885043 79568384 86543968 94131086 98907392 106269184 107578384 115134386 115585568 123703972 132097792 141375968 153770086 173087936 188262172 197814784 215156768 230268772 231171136 247407944 264195584 282751936 307540172 346175872 376524344 402970351 430313536 460537544 462342272 494815888 538195301 565503872 615080344 692351744 753048688 805940702 860627072 921075088 924684544 989631776 1001823701 1076390602 1131007744 1230160688 1338006151 1384703488 1506097376 1611881404 1721254144 1842150176 1849369088 1979263552 2003647402 2152781204 2262015488 2460321376 2676012302 3012194752 3223762808 3442508288 3684300352 3958527104 4007294804 4305562408 4920642752 5352024604 6024389504 6447525616 7012765907 7368600704 7917054208 8014589608 8611124816 9366043057 9841285504 10704049208 11455871407 12048779008 12895051232 14025531814 14737201408 15834108416 16029179216 17222249632 18732086114 19682571008 21408098416 22911742814 24097558016 25790102464 28051063628 29474402816 32058358432 34444499264 37464172228 39365142016 42816196832 45823485628 51580204928 56102127256 64116716864 68888998528 74928344456 80191099849 85632393664 91646971256 103160409856 112204254512 128233433728 137777997056 149271731449 149856688912 160382199698 171264787328 183293942512 199362916499 206320819712 224408509024 256466867456 275555994112 298543462898 299713377824 320764399396 342529574656 366587885024 398725832998 448817018048 512933734912 597086925796 599426755648 641528798792 685059149312 733175770048 797451665996 897634036096 1044902120143 1194173851592 1198853511296 1283057597584 1395540415493 1466351540096 1594903331992 1795268072192 2089804240286 2388347703184 2397707022592 2566115195168 2791080830986 2932703080192 3189806663984 3590536144384 4179608480572 4776695406368 4795414045184 5132230390336 5582161661972 5865406160384 6379613327968 8359216961144 9553390812736 10264460780672 11164323323944 12759226655936 16718433922288 19106781625472 20528921561344 22328646647888 25518453311872 29705074558351 33436867844576 38213563250944 41057843122688 44657293295776 51036906623744 59410149116702 66873735689152 76427126501888 89314586591552 102073813247488 118820298233404 133747471378304 178629173183104 207935521908457 237640596466808 267494942756608 357258346366208 415871043816914 475281192933616 534989885513216 714516692732416 831742087633828 950562385867232 1663484175267656 1901124771734464 3326968350535312 3802249543468928 6653936701070624 7604499086937856 13307873402141248 15208998173875712 26615746804282496 53231493608564992 106462987217129984
• Sum of all divisors σ(n): 246073659537182400
• Sum of proper divisors (its aliquot sum) s(n): 139610672320052416
• 106462987217129984 is an abundant number, because the sum of its proper divisors (139610672320052416) is greater than itself. Its abundance is 33147685102922432

Bases of 106462987217129984

• Binary: 101111010001110111000010111010110110011011101001000000000₂
• Hexadecimal: 0x17A3B85D6CDD200
• Base-36: T49Z9507G8W

Squares and roots of 106462987217129984

• 106462987217129984 squared (106462987217129984²) is 11334367647194782374949845951840256
• 106462987217129984 cubed (106462987217129984³) is 1206690637937549768337635317179113852930211555835904
• The square root of 106462987217129984 is 326286664.1729783967
• The cube root of 106462987217129984 is 473950.3873980409

Scales and comparisons

• 106,462,987,217,129,984 seconds is equal to 3,385,193,681 years, 44 weeks, 6 days, 6 hours, 19 minutes, 44 seconds.
• To count from 1 to 106,462,987,217,129,984 would take you about ten billion, one hundred fifty-five million, five hundred eighty-one thousand and 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 106462987217129984 cubic inches would be around 39495.9 feet tall.

Recreational maths with 106462987217129984

• 106462987217129984 backwards is 489921712789264601
• The number of decimal digits it has is: 18
• The sum of 106462987217129984's digits is 86
• More coming soon!