138912688542672176640

Names of 138912688542672176640

• Cardinal: 138912688542672176640 can be written as One hundred thirty-eight quintillion, nine hundred twelve quadrillion, six hundred eighty-eight trillion, five hundred forty-two billion, six hundred seventy-two million, one hundred seventy-six thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3891268854267217664 × 10²⁰

Factors of 138912688542672176640

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2845774

Divisors of 138912688542672176640

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2237 2560 3840 4474 6711 7680 8948 11185 13422 17896 22370 26844 33555 35792 44740 53688 67110 71584 89480 107376 134220 143168 178960 214752 268440 286336 357920 429504 536880 572672 715840 859008 1073760 1145344 1431680 1718016 2147520 2843527 2863360 3436032 4295040 5687054 5726720 8530581 8590080 11374108 14217635 17061162 17180160 22748216 28435270 34122324 42652905 45496432 56870540 68244648 85305810 90992864 113741080 136489296 170611620 181985728 227482160 272978592 341223240 363971456 454964320 545957184 682446480 727942912 909928640 1091914368 1364892960 1455885824 1819857280 2183828736 2729785920 3639714560 4367657472 5459571840 6360969899 7279429120 10919143680 12721939798 19082909697 21838287360 25443879596 31804849495 38165819394 50887759192 63609698990 76331638788 95414548485 101775518384 127219397980 152663277576 190829096970 203551036768 254438795960 305326555152 381658193940 407102073536 508877591920 610653110304 763316387880 814204147072 1017755183840 1221306220608 1526632775760 1628408294144 2035510367680 2442612441216 3053265551520 3256816588288 4071020735360 4885224882432 6106531103040 8085645799729 8142041470720 9770449764864 12213062206080 16171291599458 16284082941440 24256937399187 24426124412160 32342583198916 40428228998645 48513874798374 48852248824320 64685166397832 80856457997290 97027749596748 121284686995935 129370332795664 161712915994580 194055499193496 242569373991870 258740665591328 323425831989160 388110998386992 485138747983740 517481331182656 646851663978320 776221996773984 970277495967480 1034962662365312 1293703327956640 1552443993547968 1940554991934960 2069925324730624 2587406655913280 3104887987095936 3881109983869920 4139850649461248 5174813311826560 6209775974191872 7762219967739840 10349626623653120 12419551948383744 15524439935479680 18087589653993773 20699253247306240 31048879870959360 36175179307987546 54262768961981319 62097759741918720 72350358615975092 90437948269968865 108525537923962638 144700717231950184 180875896539937730 217051075847925276 271313844809906595 289401434463900368 361751793079875460 434102151695850552 542627689619813190 578802868927800736 723503586159750920 868204303391701104 1085255379239626380 1157605737855601472 1447007172319501840 1736408606783402208 2170510758479252760 2315211475711202944 2894014344639003680 3472817213566804416 4341021516958505520 4630422951422405888 5788028689278007360 6945634427133608832 8682043033917011040 9260845902844811776 11576057378556014720 13891268854267217664 17364086067834022080 23152114757112029440 27782537708534435328 34728172135668044160 46304229514224058880 69456344271336088320 138912688542672176640
• Sum of all divisors σ(n): 444285176204932243632
• Sum of proper divisors (its aliquot sum) s(n): 305372487662260066992
• 138912688542672176640 is an abundant number, because the sum of its proper divisors (305372487662260066992) is greater than itself. Its abundance is 166459799119587890352

Bases of 138912688542672176640

• Binary: 1111000011111001101000000100011110100010100011100110100011000000000₂
• Hexadecimal: 0x787CD023D14734600
• Base-36: TBE5YDFXAQ7EO

Squares and roots of 138912688542672176640

• 138912688542672176640 squared (138912688542672176640²) is 19296735038153445814239507939195361689600
• 138912688542672176640 cubed (138912688542672176640³) is 2680561344245478919718442609960619129080265343087300050944000
• The square root of 138912688542672176640 is 11786122710.3179346051
• The cube root of 138912688542672176640 is 5179016.6305934111

Scales and comparisons

• 138,912,688,542,672,176,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,912,688,542,672,176,640 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138912688542672176640 cubic inches would be around 431584.7 feet tall.

Recreational maths with 138912688542672176640

• 138912688542672176640 backwards is 046671276245886219831
• 138912688542672176640 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 138912688542672176640's digits is 96
• More coming soon!