137902432100400

Names of 137902432100400

• Cardinal: 137902432100400 can be written as One hundred thirty-seven trillion, nine hundred two billion, four hundred thirty-two million, one hundred thousand, four hundred.

Scientific notation

• Scientific notation: 1.379024321004 × 10¹⁴

Factors of 137902432100400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7121625

Divisors of 137902432100400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 132 135 144 150 163 165 176 180 198 200 216 220 225 240 264 270 275 297 300 326 330 360 396 400 432 440 450 489 495 528 540 550 594 600 652 660 675 720 792 815 825 880 900 978 990 1080 1100 1188 1200 1304 1320 1350 1467 1485 1584 1630 1650 1793 1800 1956 1980 2160 2200 2376 2445 2475 2608 2640 2700 2934 2970 3260 3300 3586 3600 3912 3960 4075 4400 4401 4752 4890 4950 5379 5400 5868 5940 6520 6600 7172 7335 7425 7824 7920 8150 8802 8965 9780 9900 10758 10800 11736 11880 12225 13040 13200 14344 14670 14850 16137 16300 17604 17930 19560 19800 21516 22005 23472 23760 24450 26895 28688 29340 29700 32274 32600 35208 35860 36675 39120 39600 43032 44010 44825 48411 48900 53790 58680 59400 64548 65200 70416 71720 73350 80685 86064 88020 89650 96822 97800 107580 110025 117360 118800 129096 134475 143440 146700 161370 176040 179300 193644 195600 215160 220050 242055 258192 268950 293400 322740 352080 358600 387288 403425 430320 440100 484110 537900 586800 645480 717200 774576 806850 880200 968220 1075800 1210275 1290960 1613700 1760400 1936440 2151600 2420550 3227400 3872880 4841100 6454800 7121441 9682200 14242882 19364400 21364323 28485764 35607205 42728646 56971528 64092969 71214410 78335851 85457292 106821615 113943056 128185938 142428820 156671702 170914584 178036025 192278907 213643230 235007553 256371876 284857640 313343404 320464845 341829168 356072050 384557814 391679255 427286460 470015106 512743752 534108075 569715280 626686808 640929690 705022659 712144100 769115628 783358510 854572920 940030212 961394535 1025487504 1068216150 1160794883 1175037765 1253373616 1281859380 1410045318 1424288200 1538231256 1566717020 1602324225 1709145840 1880060424 1922789070 1958396275 2115067977 2136432300 2321589766 2350075530 2563718760 2820090636 2848576400 3076462512 3133434040 3204648450 3482384649 3525113295 3760120848 3845578140 3916792550 4230135954 4272864600 4643179532 4700151060 4806972675 5127437520 5640181272 5803974415 5875188825 6266868080 6409296900 6964769298 7050226590 7691156280 7833585100 8460271908 8545729200 9286359064 9400302120 9613945350 10447153947 10575339885 11280362544 11607948830 11750377650 12768743713 12818593800 13929538596 14100453180 15382312560 15667170200 16920543816 17411923245 17625566475 18572718128 18800604240 19227890700 20894307894 21150679770 23215897660 23500755300 25537487426 25637187600 27859077192 28200906360 29019872075 31334340400 31341461841 33841087632 34823846490 35251132950 38306231139 38455781400 41788615788 42301359540 46431795320 47001510600 51074974852 52235769735 52876699425 55718154384 56401812720 58039744150 62682923682 63843718565 69647692980 70502265900 76612462278 76911562800 83577231576 84602719080 87059616225 92863590640 94003021200 102149949704 104471539470 105753398850 114918693417 116079488300 125365847364 127687437130 139295385960 141004531800 153224924556 156707309205 167154463152 169205438160 174119232450 191531155695 204299899408 208943078940 211506797700 229837386834 232158976600 250731694728 255374874260 261178848675 278590771920 282009063600 306449849112 313414618410 319218592825 344756080251 348238464900 383062311390 417886157880 423013595400 459674773668 464317953200 501463389456 510749748520 522357697350 574593467085 612899698224 626829236820 638437185650 689512160502 696476929800 766124622780 783536546025 835772315760 846027190800 919349547336 957655778475 1021499497040 1044715394700 1149186934170 1253658473640 1276874371300 1379024321004 1392953859600 1532249245560 1567073092050 1723780401255 1838699094672 1915311556950 2089430789400 2298373868340 2507316947280 2553748742600 2758048642008 2872967335425 3064498491120 3134146184100 3447560802510 3830623113900 4178861578800 4596747736680 5107497485200 5516097284016 5745934670850 6268292368200 6895121605020 7661246227800 8618902006275 9193495473360 11491869341700 12536584736400 13790243210040 15322492455600 17237804012550 22983738683400 27580486420080 34475608025100 45967477366800 68951216050200 137902432100400
• Sum of all divisors σ(n): 538736517584640
• Sum of proper divisors (its aliquot sum) s(n): 400834085484240
• 137902432100400 is an abundant number, because the sum of its proper divisors (400834085484240) is greater than itself. Its abundance is 262931653383840

Bases of 137902432100400

• Binary: 11111010110101111101001011110101010000000110000₂
• Hexadecimal: 0x7D6BE97AA030
• Base-36: 1CVRI3JCC0

Squares and roots of 137902432100400

• 137902432100400 squared (137902432100400²) is 19017080779205432355680160000
• 137902432100400 cubed (137902432100400³) is 2622501690902199059692008486659408064000000
• The square root of 137902432100400 is 11743186.6246091823
• The cube root of 137902432100400 is 51664.3109884965

Scales and comparisons

• 137,902,432,100,400 seconds is equal to 4,384,870 years, 40 weeks, 4 days, 3 hours.
• To count from 1 to 137,902,432,100,400 would take you about ten million, nine hundred sixty-two thousand, one hundred seventy-six 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 137902432100400 cubic inches would be around 4305.4 feet tall.

Recreational maths with 137902432100400

• 137902432100400 backwards is 004001234209731
• 137902432100400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137902432100400's digits is 36
• More coming soon!