137065442914038016

Names of 137065442914038016

• Cardinal: 137065442914038016 can be written as One hundred thirty-seven quadrillion, sixty-five trillion, four hundred forty-two billion, nine hundred fourteen million, thirty-eight thousand and sixteen.

Scientific notation

• Scientific notation: 1.37065442914038016 × 10¹⁷

Factors of 137065442914038016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4137

Divisors of 137065442914038016

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1087 1568 1792 2174 3041 3136 4348 6082 6272 7609 8696 12164 12544 15218 17392 21287 24328 30436 34784 42574 48656 53263 60872 69568 85148 97312 106526 121744 139136 149009 170296 194624 213052 243488 278272 298018 340592 389248 426104 486976 596036 681184 778496 852208 973952 1181569 1192072 1362368 1704416 1947904 2363138 2384144 2724736 3305567 3408832 4726276 4768288 5449472 6611134 6817664 8270983 9247681 9452552 9536576 13222268 13635328 16541966 18495362 18905104 19073152 23138969 26444536 33083932 36990724 37810208 38146304 46277938 52889072 57896881 64733767 66167864 73981448 75620416 92555876 105778144 115793762 129467534 132335728 147962896 151240832 161972783 185111752 211556288 231587524 258935068 264671456 295925792 302481664 323945566 370223504 423112576 453136369 463175048 517870136 529342912 591851584 647891132 740447008 846225152 906272738 926350096 1035740272 1058685824 1183703168 1295782264 1480894016 1812545476 1852700192 2071480544 2117371648 2367406336 2591564528 2961788032 3593151329 3625090952 3705400384 4142961088 5183129056 5923576064 7186302658 7250181904 7410800768 8285922176 10052229247 10366258112 14372605316 14500363808 14821601536 16571844352 20104458494 20732516224 25152059303 28745210632 29000727616 40208916988 41465032448 50304118606 57490421264 58001455232 70365604729 80417833976 100608237212 114980842528 116002910464 140731209458 160835667952 176064415121 201216474424 229961685056 281462418916 321671335904 352128830242 402432948848 459923370112 492559233103 562924837832 643342671808 704257660484 804865897696 919846740224 985118466206 1125849675664 1286685343616 1408515320968 1609731795392 1970236932412 2251699351328 2573370687232 2817030641936 3219463590784 3940473864824 4503398702656 5634061283872 6438927181568 7880947729648 9006797405312 10926773191489 11268122567744 15761895459296 18013594810624 21853546382978 22536245135488 31523790918592 43707092765956 45072490270976 63047581837184 76487412340423 87414185531912 126095163674368 152974824680846 174828371063824 305949649361692 349656742127648 535411886382961 611899298723384 699313484255296 1070823772765922 1223798597446768 1398626968510592 2141647545531844 2447597194893536 2797253937021184 4283295091063688 4895194389787072 8566590182127376 9790388779574144 17133180364254752 19580777559148288 34266360728509504 68532721457019008 137065442914038016
• Sum of all divisors σ(n): 318661971922817397
• Sum of proper divisors (its aliquot sum) s(n): 181596529008779381
• 137065442914038016 is an abundant number, because the sum of its proper divisors (181596529008779381) is greater than itself. Its abundance is 44531086094741365

Bases of 137065442914038016

• Binary: 111100110111101000100101101001011110111110111000100000000₂
• Hexadecimal: 0x1E6F44B4BDF7100
• Base-36: 11HLN77E5KHS

Squares and roots of 137065442914038016

• 137065442914038016 squared (137065442914038016²) is 18786935641221414171151638693216256
• 137065442914038016 cubed (137065442914038016³) is 2575039654661539933455672232223716796521371293188096
• 137065442914038016 is a perfect square number. Its square root is 370223504
• The cube root of 137065442914038016 is 515595.7449505009

Scales and comparisons

• 137,065,442,914,038,016 seconds is equal to 4,358,257,113 years, 21 weeks, 3 days, 20 hours, 20 minutes, 16 seconds.
• To count from 1 to 137,065,442,914,038,016 would take you about thirteen billion, seventy-four million, seven hundred seventy-one thousand, three hundred forty 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 137065442914038016 cubic inches would be around 42966.3 feet tall.

Recreational maths with 137065442914038016

• 137065442914038016 backwards is 610830419244560731
• 137065442914038016 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137065442914038016's digits is 64
• More coming soon!