137424895104

Names of 137424895104

• Cardinal: 137424895104 can be written as One hundred thirty-seven billion, four hundred twenty-four million, eight hundred ninety-five thousand, one hundred four.

Scientific notation

• Scientific notation: 1.37424895104 × 10¹¹

Factors of 137424895104

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1729

Divisors of 137424895104

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 266 269 294 304 336 384 392 399 448 456 532 538 588 608 672 784 798 807 896 912 931 1064 1076 1176 1216 1344 1429 1568 1596 1614 1824 1862 1883 2128 2152 2352 2432 2688 2793 2858 3136 3192 3228 3648 3724 3766 4256 4287 4304 4704 5111 5586 5649 5716 6272 6384 6456 7296 7448 7532 8512 8574 8608 9408 10003 10222 11172 11298 11432 12768 12912 13181 14896 15064 15333 17024 17148 17216 18816 20006 20444 22344 22596 22864 25536 25824 26362 27151 29792 30009 30128 30666 34296 34432 35777 39543 40012 40888 44688 45192 45728 51072 51648 52724 54302 59584 60018 60256 61332 68592 70021 71554 79086 80024 81453 81776 89376 90384 91456 103296 105448 107331 108604 119168 120036 120512 122664 137184 140042 143108 158172 160048 162906 163552 178752 180768 182912 190057 210063 210896 214662 217208 240072 241024 245328 250439 274368 280084 286216 316344 320096 325812 327104 357504 361536 380114 384401 420126 421792 429324 434416 480144 490656 500878 548736 560168 570171 572432 632688 640192 651624 654208 723072 751317 760228 768802 840252 843584 858648 868832 960288 981312 1001756 1120336 1140342 1144864 1153203 1265376 1280384 1303248 1330399 1502634 1520456 1537604 1680504 1687168 1717296 1737664 1920576 1962624 2003512 2240672 2280684 2289728 2306406 2530752 2606496 2660798 2690807 3005268 3040912 3075208 3361008 3434592 3475328 3841152 3991197 4007024 4481344 4561368 4579456 4612812 5061504 5212992 5321596 5381614 6010536 6081824 6150416 6722016 6869184 7303619 7982394 8014048 8072421 8962688 9122736 9225624 10425984 10643192 10763228 12021072 12163648 12300832 13444032 13738368 14607238 15964788 16028096 16144842 18245472 18451248 18835649 21286384 21526456 21910857 24042144 24327296 24601664 26888064 29214476 31929576 32056192 32289684 36490944 36902496 37671298 42572768 43052912 43821714 48084288 49203328 51125333 56506947 58428952 63859152 64579368 72981888 73804992 75342596 85145536 86105824 87643428 96168576 102250666 113013894 116857904 127718304 129158736 147609984 150685192 153375999 170291072 172211648 175286856 204501332 226027788 233715808 255436608 258317472 301370384 306751998 344423296 350573712 357877331 409002664 452055576 467431616 510873216 516634944 602740768 613503996 701147424 715754662 818005328 904111152 934863232 1033269888 1073631993 1205481536 1227007992 1402294848 1431509324 1636010656 1808222304 2147263986 2410963072 2454015984 2804589696 2863018648 3272021312 3616444608 4294527972 4908031968 5726037296 6544042624 7232889216 8589055944 9816063936 11452074592 17178111888 19632127872 22904149184 34356223776 45808298368 68712447552 137424895104
• Sum of all divisors σ(n): 448957080000
• Sum of proper divisors (its aliquot sum) s(n): 311532184896
• 137424895104 is an abundant number, because the sum of its proper divisors (311532184896) is greater than itself. Its abundance is 174107289792

Bases of 137424895104

• Binary: 1111111111111001010010111110010000000₂
• Hexadecimal: 0x1FFF297C80
• Base-36: 1R4R8FPC

Squares and roots of 137424895104

• 137424895104 squared (137424895104²) is 18885601794345403170816
• 137424895104 cubed (137424895104³) is 2595351845563831211093977794084864
• The square root of 137424895104 is 370708.6391008441
• The cube root of 137424895104 is 5160.4606571489

Scales and comparisons

• 137,424,895,104 seconds is equal to 4,369 years, 35 weeks, 4 days, 21 hours, 58 minutes, 24 seconds.
• To count from 1 to 137,424,895,104 would take you about eight thousand, seven hundred thirty-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 137424895104 cubic inches would be around 430 feet tall.

Recreational maths with 137424895104

• 137424895104 backwards is 401598424731
• 137424895104 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137424895104's digits is 48
• More coming soon!