42137962693741152

Names of 42137962693741152

• Cardinal: 42137962693741152 can be written as Forty-two quadrillion, one hundred thirty-seven trillion, nine hundred sixty-two billion, six hundred ninety-three million, seven hundred forty-one thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.2137962693741152 × 10¹⁶

Factors of 42137962693741152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 229499910

Divisors of 42137962693741152

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4337 4704 5292 6048 7056 8674 10584 13011 14112 17348 21168 26022 30359 34696 39033 42336 52044 60718 69392 78066 91077 104088 117099 121436 138784 156132 182154 208176 212513 234198 242872 273231 312264 364308 416352 425026 468396 485744 546462 624528 637539 728616 819693 850052 936792 971488 1092924 1249056 1275078 1457232 1639386 1700104 1873584 1912617 2185848 2550156 2914464 3278772 3400208 3747168 3825234 4371696 5100312 5737851 6557544 6800416 7650468 8743392 10200624 11475702 13115088 15300936 20401248 22951404 26230176 30601872 45902808 61203744 91805616 183611232 229495561 458991122 688486683 917982244 1376973366 1606468927 1835964488 2065460049 2753946732 3212937854 3671928976 4130920098 4819406781 5507893464 6196380147 6425875708 7343857952 8261840196 9638813562 11015786928 11245282489 12392760294 12851751416 14458220343 16523680392 19277627124 22031573856 22490564978 24785520588 25703502832 28916440686 33047360784 33735847467 38555254248 43374661029 44981129956 49571041176 51407005664 57832881372 66094721568 67471694934 77110508496 86749322058 89962259912 99142082352 101207542401 115665762744 134943389868 154221016992 173498644116 179924519824 198284164704 202415084802 231331525488 269886779736 303622627203 346997288232 359849039648 404830169604 462663050976 539773559472 607245254406 693994576464 809660339208 995322248057 1079547118944 1214490508812 1387989152928 1619320678416 1990644496114 2428981017624 2985966744171 3238641356832 3981288992228 4857962035248 5971933488342 6967255736399 7962577984456 8957900232513 9715924070496 11943866976684 13934511472798 15925155968912 17915800465026 20901767209197 23887733953368 26873700697539 27869022945596 31850311937824 35831600930052 41803534418394 47775467906736 48770790154793 53747401395078 55738045891192 62705301627591 71663201860104 83607068836788 95550935813472 97541580309586 107494802790156 111476091782384 125410603255182 143326403720208 146312370464379 167214137673576 188115904882773 195083160619172 214989605580312 222952183564768 250821206510364 286652807440416 292624740928758 334428275347152 376231809765546 390166321238344 429979211160624 438937111393137 501642413020728 585249481857516 668856550694304 752463619531092 780332642476688 859958422321248 877874222786274 1003284826041456 1170498963715032 1316811334179411 1504927239062184 1560665284953376 1755748445572548 2006569652082912 2340997927430064 2633622668358822 3009854478124368 3511496891145096 4681995854860128 5267245336717644 6019708956248736 7022993782290192 10534490673435288 14045987564580384 21068981346870576 42137962693741152
• Sum of all divisors σ(n): 143001053076399840
• Sum of proper divisors (its aliquot sum) s(n): 100863090382658688
• 42137962693741152 is an abundant number, because the sum of its proper divisors (100863090382658688) is greater than itself. Its abundance is 58725127688917536

Bases of 42137962693741152

• Binary: 10010101101101000100000011111001111010110100101001100000₂
• Hexadecimal: 0x95B440F9EB4A60
• Base-36: BIWNSTLWBC0

Squares and roots of 42137962693741152

• 42137962693741152 squared (42137962693741152²) is 1775607899979121082901233978287104
• 42137962693741152 cubed (42137962693741152³) is 74820499448032275016507283129560375760486515703808
• The square root of 42137962693741152 is 205275333.8658621011
• The cube root of 42137962693741152 is 347982.8532688139

Scales and comparisons

• 42,137,962,693,741,152 seconds is equal to 1,339,856,872 years, 19 weeks, 6 days, 22 hours, 19 minutes, 12 seconds.
• To count from 1 to 42,137,962,693,741,152 would take you about four billion, nineteen million, five hundred seventy thousand, six hundred seventeen 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 42137962693741152 cubic inches would be around 28998.6 feet tall.

Recreational maths with 42137962693741152

• 42137962693741152 backwards is 25114739626973124
• 42137962693741152 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 42137962693741152's digits is 72
• More coming soon!