137929690676310400

Names of 137929690676310400

• Cardinal: 137929690676310400 can be written as One hundred thirty-seven quadrillion, nine hundred twenty-nine trillion, six hundred ninety billion, six hundred seventy-six million, three hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 1.379296906763104 × 10¹⁷

Factors of 137929690676310400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 460836

Divisors of 137929690676310400

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 50 56 58 64 70 80 100 112 116 128 140 145 160 175 200 203 224 232 280 290 320 350 400 406 448 464 560 580 640 700 725 800 812 896 928 1015 1120 1160 1400 1450 1600 1624 1856 2030 2240 2320 2800 2900 3200 3248 3712 4060 4480 4640 5075 5600 5800 6496 8120 9280 10150 11200 11600 12992 16240 18560 20300 22400 23200 25984 32480 40600 46400 64960 81200 92800 129920 162400 324800 460793 649600 921586 1843172 2303965 3225551 3686344 4607930 6451102 7372688 9215860 11519825 12902204 13362997 14745376 16127755 18431720 23039650 25804408 26725994 29490752 32255510 36863440 46079300 51608816 53451988 58981504 64511020 66814985 73726880 80638775 92158600 93540979 103217632 106903976 129022040 133629970 147453760 161277550 184317200 187081958 206435264 213807952 258044080 267259940 294907520 322555100 334074925 368634400 374163916 412870528 427615904 467704895 516088160 534519880 645110200 668149850 737268800 748327832 855231808 935409790 1032176320 1069039760 1290220400 1336299700 1474537600 1496655664 1710463616 1870819580 2064352640 2138079520 2338524475 2580440800 2672599400 2993311328 3741639160 4276159040 4677048950 5160881600 5345198800 5986622656 7483278320 8552318080 9354097900 10321763200 10690397600 11973245312 14966556640 18708195800 21380795200 29933113280 37416391600 42761590400 59866226560 74832783200 149665566400 212330188849 299331132800 424660377698 849320755396 1061650944245 1486311321943 1698641510792 2123301888490 2972622643886 3397283021584 4246603776980 5308254721225 5945245287772 6157575476621 6794566043168 7431556609715 8493207553960 10616509442450 11890490575544 12315150953242 13589132086336 14863113219430 16986415107920 21233018884900 23780981151088 24630301906484 27178264172672 29726226438860 30787877383105 33972830215840 37157783048575 42466037769800 43103028336347 47561962302176 49260603812968 59452452877720 61575754766210 67945660431680 74315566097150 84932075539600 86206056672694 95123924604352 98521207625936 118904905755440 123151509532420 135891320863360 148631132194300 153939386915525 169864151079200 172412113345388 190247849208704 197042415251872 215515141681735 237809811510880 246303019064840 297262264388600 307878773831050 339728302158400 344824226690776 394084830503744 431030283363470 475619623021760 492606038129680 594524528777200 615757547662100 679456604316800 689648453381552 788169661007488 862060566726940 951239246043520 985212076259360 1077575708408675 1189049057554400 1231515095324200 1379296906763104 1724121133453880 1970424152518720 2155151416817350 2378098115108800 2463030190648400 2758593813526208 3448242266907760 3940848305037440 4310302833634700 4756196230217600 4926060381296800 5517187627052416 6896484533815520 8620605667269400 9852120762593600 13792969067631040 17241211334538800 19704241525187200 27585938135262080 34482422669077600 68964845338155200 137929690676310400
• Sum of all divisors σ(n): 402833708502699600
• Sum of proper divisors (its aliquot sum) s(n): 264904017826389200
• 137929690676310400 is an abundant number, because the sum of its proper divisors (264904017826389200) is greater than itself. Its abundance is 126974327150078800

Bases of 137929690676310400

• Binary: 111101010000001100101001010101000101111011011000110000000₂
• Hexadecimal: 0x1EA0652A8BDB180
• Base-36: 11Q3ZT59LG1S

Squares and roots of 137929690676310400

• 137929690676310400 squared (137929690676310400²) is 19024599570062668088947757148160000
• 137929690676310400 cubed (137929690676310400³) is 2624057133939411635150367649944486086374948864000000
• The square root of 137929690676310400 is 371388867.1948990987
• The cube root of 137929690676310400 is 516677.1485102245

Scales and comparisons

• 137,929,690,676,310,400 seconds is equal to 4,385,737,518 years, 49 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 137,929,690,676,310,400 would take you about thirteen billion, one hundred fifty-seven million, two hundred twelve thousand, five hundred fifty-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 137929690676310400 cubic inches would be around 43056.4 feet tall.

Recreational maths with 137929690676310400

• 137929690676310400 backwards is 004013676096929731
• The number of decimal digits it has is: 18
• The sum of 137929690676310400's digits is 73
• More coming soon!