137818914415240806400

Names of 137818914415240806400

• Cardinal: 137818914415240806400 can be written as One hundred thirty-seven quintillion, eight hundred eighteen quadrillion, nine hundred fourteen trillion, four hundred fifteen billion, two hundred forty million, eight hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 1.378189144152408064 × 10²⁰

Factors of 137818914415240806400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 4585800

Divisors of 137818914415240806400

• Number of divisors d(n): 171
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 4096 5120 6400 8192 10240 12800 16384 20480 25600 32768 40960 51200 65536 81920 102400 131072 163840 204800 262144 327680 409600 655360 819200 1310720 1638400 3276800 4585793 6553600 9171586 18343172 22928965 36686344 45857930 73372688 91715860 114644825 146745376 183431720 229289650 293490752 366863440 458579300 586981504 733726880 917158600 1173963008 1467453760 1834317200 2347926016 2934907520 3668634400 4695852032 5869815040 7337268800 9391704064 11739630080 14674537600 18783408128 23479260160 29349075200 37566816256 46958520320 58698150400 75133632512 93917040640 117396300800 150267265024 187834081280 234792601600 300534530048 375668162560 469585203200 601069060096 751336325120 939170406400 1202138120192 1502672650240 1878340812800 3005345300480 3756681625600 6010690600960 7513363251200 15026726502400 21029497438849 30053453004800 42058994877698 84117989755396 105147487194245 168235979510792 210294974388490 336471959021584 420589948776980 525737435971225 672943918043168 841179897553960 1051474871942450 1345887836086336 1682359795107920 2102949743884900 2691775672172672 3364719590215840 4205899487769800 5383551344345344 6729439180431680 8411798975539600 10767102688690688 13458878360863360 16823597951079200 21534205377381376 26917756721726720 33647195902158400 43068410754762752 53835513443453440 67294391804316800 86136821509525504 107671026886906880 134588783608633600 172273643019051008 215342053773813760 269177567217267200 344547286038102016 430684107547627520 538355134434534400 689094572076204032 861368215095255040 1076710268869068800 1378189144152408064 1722736430190510080 2153420537738137600 2756378288304816128 3445472860381020160 4306841075476275200 5512756576609632256 6890945720762040320 8613682150952550400 13781891441524080640 17227364301905100800 27563782883048161280 34454728603810201600 68909457207620403200 137818914415240806400
• Sum of all divisors σ(n): 341790330367814140771
• Sum of proper divisors (its aliquot sum) s(n): 203971415952573334371
• 137818914415240806400 is an abundant number, because the sum of its proper divisors (203971415952573334371) is greater than itself. Its abundance is 66152501537332527971

Bases of 137818914415240806400

• Binary: 1110111100010011111001001000111011011111010011001000000000000000000₂
• Hexadecimal: 0x7789F2476FA640000
• Base-36: T3307SYI16MF4

Squares and roots of 137818914415240806400

• 137818914415240806400 squared (137818914415240806400²) is 18994053170595470145489426499722280960000
• 137818914415240806400 cubed (137818914415240806400³) is 2617739788316830384133314550074700845928286761877766144000000
• 137818914415240806400 is a perfect square number. Its square root is 11739630080
• The cube root of 137818914415240806400 is 5165387.9083950761

Scales and comparisons

• 137,818,914,415,240,806,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,818,914,415,240,806,400 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 137818914415240806400 cubic inches would be around 430449 feet tall.

Recreational maths with 137818914415240806400

• 137818914415240806400 backwards is 004608042514419818731
• The number of decimal digits it has is: 21
• The sum of 137818914415240806400's digits is 76
• More coming soon!