137801943317504

Names of 137801943317504

• Cardinal: 137801943317504 can be written as One hundred thirty-seven trillion, eight hundred one billion, nine hundred forty-three million, three hundred seventeen thousand, five hundred four.

Scientific notation

• Scientific notation: 1.37801943317504 × 10¹⁴

Factors of 137801943317504

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 105289

Divisors of 137801943317504

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 4 8 16 19 31 32 38 41 53 62 64 76 82 106 124 128 152 164 212 248 256 304 328 424 496 512 589 608 656 779 848 992 1007 1024 1178 1216 1271 1312 1558 1643 1696 1984 2014 2173 2356 2432 2542 2624 3116 3286 3392 3968 4028 4346 4712 4864 5084 5248 6232 6572 6784 7936 8056 8692 9424 9728 10168 10496 12464 13144 13568 15872 16112 17384 18848 19456 20336 20992 24149 24928 26288 27136 31217 31744 32224 34768 37696 40672 41287 41984 48298 49856 52576 54272 62434 64448 67363 69536 75392 81344 82574 96596 99712 105143 105152 124868 128896 134726 139072 150784 162688 165148 193192 199424 210286 210304 249736 257792 269452 278144 301568 325376 330296 386384 398848 420572 420608 499472 515584 538904 556288 603136 650752 660592 772768 797696 841144 841216 998944 1031168 1077808 1112576 1279897 1301504 1321184 1545536 1682288 1682432 1997717 1997888 2155616 2225152 2559794 2642368 3091072 3259433 3364576 3995434 3995776 4310863 4311232 5119588 5284736 5572579 6182144 6518866 6729152 7990868 7991552 8621726 8622464 10239176 10569472 11145158 12364288 13037732 13458304 15981736 15983104 17243452 17244928 20478352 21138944 22290316 24728576 26075464 26916608 31963472 31966208 34486904 34489856 40956704 42277888 44580632 52150928 53833216 61929227 63926944 68973808 68979712 81906397 81913408 89161264 104301856 105879001 107666432 123858454 127853888 133636753 137947616 163812794 163826816 172749949 178322528 208603712 211758002 228475739 247716908 255707776 267273506 275895232 327625588 327653632 345499898 356645056 417207424 423516004 456951478 495433816 511415552 534547012 551790464 655251176 655307264 690999796 713290112 834414848 847032008 913902956 990867632 1022831104 1069094024 1103580928 1310502352 1310614528 1381999592 1426580224 1668829696 1694064016 1827805912 1981735264 2045662208 2138188048 2207161856 2539098307 2621004704 2763999184 2853160448 3282249031 3337659392 3388128032 3655611824 3963470528 4276376096 4341039041 4414323712 5078196614 5242009408 5527998368 5706320896 6564498062 6776256064 7082747909 7311223648 7926941056 8552752192 8682078082 10156393228 10484018816 11055996736 13128996124 13552512128 14165495818 14622447296 15853882112 17105504384 17364156164 20312786456 20968037632 22111993472 26257992248 27105024256 28330991636 29244894592 31707764224 34211008768 34728312328 40625572912 41936075264 44223986944 52515984496 54210048512 56661983272 58489789184 63415528448 68422017536 69456624656 81251145824 83872150528 88447973888 105031968992 108420097024 113323966544 116979578368 134572210271 136844035072 138913249312 162502291648 176895947776 210063937984 226647933088 233959156736 269144420542 277826498624 325004583296 420127875968 453295866176 538288841084 555652997248 650009166592 840255751936 906591732352 1076577682168 1111305994496 1300018333184 1680511503872 1813183464704 2153155364336 2222611988992 2600036666368 3361023007744 3626366929408 4306310728672 4445223977984 7252733858816 8612621457344 17225242914688 34450485829376 68900971658752 137801943317504
• Sum of all divisors σ(n): 312410312847360
• Sum of proper divisors (its aliquot sum) s(n): 174608369529856
• 137801943317504 is an abundant number, because the sum of its proper divisors (174608369529856) is greater than itself. Its abundance is 36806426212352

Bases of 137801943317504

• Binary: 11111010101010010000011111000010111110000000000₂
• Hexadecimal: 0x7D5483E17C00
• Base-36: 1CUHC73Z7K

Squares and roots of 137801943317504

• 137801943317504 squared (137801943317504²) is 18989375582080585321352790016
• 137801943317504 cubed (137801943317504³) is 2616772857596663344672608014546597329240064
• The square root of 137801943317504 is 11738907.2454596045
• The cube root of 137801943317504 is 51651.7587677875

Scales and comparisons

• 137,801,943,317,504 seconds is equal to 4,381,675 years, 28 weeks, 3 days, 12 hours, 11 minutes, 44 seconds.
• To count from 1 to 137,801,943,317,504 would take you about ten million, nine hundred fifty-four thousand, one hundred eighty-eight 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 137801943317504 cubic inches would be around 4304.3 feet tall.

Recreational maths with 137801943317504

• 137801943317504 backwards is 405713349108731
• The number of decimal digits it has is: 15
• The sum of 137801943317504's digits is 56
• More coming soon!