137680188640344

Names of 137680188640344

• Cardinal: 137680188640344 can be written as One hundred thirty-seven trillion, six hundred eighty billion, one hundred eighty-eight million, six hundred forty thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.37680188640344 × 10¹⁴

Factors of 137680188640344

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1327536

Divisors of 137680188640344

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 47 56 58 63 72 84 87 94 116 126 141 151 168 174 188 203 232 252 261 282 302 329 348 376 406 423 453 504 522 564 604 609 658 696 812 846 906 987 1044 1057 1128 1208 1218 1316 1359 1363 1624 1692 1812 1827 1974 2088 2114 2436 2632 2718 2726 2961 3171 3384 3624 3654 3948 4089 4228 4379 4872 5436 5452 5922 6342 7097 7308 7896 8178 8456 8758 9513 9541 10872 10904 11844 12267 12684 13137 14194 14616 16356 17516 19026 19082 21291 23688 24534 25368 26274 28388 28623 30653 32712 35032 38052 38164 39411 42582 49068 49679 52548 56776 57246 61306 63873 76104 76328 78822 85164 85869 91959 98136 99358 105096 114492 122612 127746 149037 157644 170328 171738 183918 198716 205813 228984 245224 255492 275877 298074 315288 343476 367836 397432 411626 447111 510984 551754 596148 617439 686952 735672 823252 894222 1103508 1192296 1234878 1327297 1440691 1646504 1788444 1852317 2207016 2469756 2654594 2881382 3576888 3704634 3981891 4322073 4939512 5309188 5762764 7409268 7963782 8644146 9291079 10618376 11525528 11945673 12966219 14818536 15927564 17288292 18582158 23891346 25932438 27873237 31855128 34576584 37164316 38491613 47782692 51864876 55746474 62382959 74328632 76983226 83619711 95565384 103729752 111492948 115474839 124765918 153966452 167239422 187148877 200421847 222985896 230949678 249531836 269441291 307932904 334478844 346424517 374297754 400843694 436680713 461899356 499063672 538882582 561446631 601265541 668957688 692849034 748595508 801687388 808323873 873361426 923798712 1077765164 1122893262 1202531082 1310042139 1385698068 1402952929 1497191016 1603374776 1616647746 1746722852 1803796623 1809105811 2155530328 2245786524 2405062164 2424971619 2620084278 2771396136 2805905858 3233295492 3493445704 3607593246 3618211622 3930126417 4208858787 4491573048 4810124328 4849943238 5240168556 5427317433 5611811716 5812233563 6466590984 7215186492 7236423244 7860252834 8417717574 9419826809 9699886476 10480337112 10854634866 11223623432 11624467126 12626576361 12663740677 14430372984 14472846488 15720505668 16281952299 16835435148 17436700689 18839653618 19399772952 21709269732 23248934252 25253152722 25327481354 28259480427 31441011336 32563904598 33670870296 34873401378 37679307236 37991222031 40685634941 43418539464 46497868504 50506305444 50654962708 52310102067 56518960854 65127809196 65938787663 69746802756 75358614472 75982444062 81371269882 84778441281 101012610888 101309925416 104620204134 113037921708 113973666093 122056904823 130255618392 131877575326 139493605512 151964888124 162742539764 169556882562 197816362989 209240408268 226075843416 227947332186 244113809646 263755150652 273174977461 303929776248 325485079528 339113765124 366170714469 395632725978 418480816536 455894664372 488227619292 527510301304 546349954922 593449088967 678227530248 732341428938 791265451956 819524932383 911789328744 976455238584 1092699909844 1186898177934 1464682857876 1582530903912 1639049864766 1912224842227 2185399819688 2373796355868 2458574797149 2929365715752 3278099729532 3824449684454 4747592711736 4917149594298 5736674526681 6556199459064 7648899368908 9834299188596 11473349053362 15297798737816 17210023580043 19668598377192 22946698106724 34420047160086 45893396213448 68840094320172 137680188640344
• Sum of all divisors σ(n): 453209618534400
• Sum of proper divisors (its aliquot sum) s(n): 315529429894056
• 137680188640344 is an abundant number, because the sum of its proper divisors (315529429894056) is greater than itself. Its abundance is 177849241253712

Bases of 137680188640344

• Binary: 11111010011100000101010101111001000110001011000₂
• Hexadecimal: 0x7D382ABC8C58
• Base-36: 1CSXELIP20

Squares and roots of 137680188640344

• 137680188640344 squared (137680188640344²) is 18955834344040709019384438336
• 137680188640344 cubed (137680188640344³) is 2609842848322636284642548890683595949827584
• The square root of 137680188640344 is 11733720.1534868727
• The cube root of 137680188640344 is 51636.5420102261

Scales and comparisons

• 137,680,188,640,344 seconds is equal to 4,377,804 years, 6 weeks, 3 days, 20 hours, 32 minutes, 24 seconds.
• To count from 1 to 137,680,188,640,344 would take you about ten million, nine hundred forty-four thousand, five hundred ten 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 137680188640344 cubic inches would be around 4303 feet tall.

Recreational maths with 137680188640344

• 137680188640344 backwards is 443046881086731
• 137680188640344 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137680188640344's digits is 63
• More coming soon!