137953809572800

Names of 137953809572800

• Cardinal: 137953809572800 can be written as One hundred thirty-seven trillion, nine hundred fifty-three billion, eight hundred nine million, five hundred seventy-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.379538095728 × 10¹⁴

Factors of 137953809572800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 160

Divisors of 137953809572800

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 43 50 52 64 65 80 86 97 100 104 130 160 169 172 194 200 208 215 260 320 325 338 344 388 400 416 430 485 520 559 650 676 688 776 800 832 845 860 970 1040 1075 1118 1261 1300 1352 1376 1552 1600 1690 1720 1940 2080 2150 2197 2236 2425 2522 2600 2704 2752 2795 3104 3380 3440 3880 4160 4171 4225 4300 4394 4472 4850 5044 5200 5408 5590 6208 6305 6760 6880 7267 7760 8342 8450 8600 8788 8944 9409 9700 10088 10400 10816 10985 11180 12610 13520 13760 13975 14534 15520 16393 16684 16900 17200 17576 17888 18818 19400 20176 20800 20855 21970 22360 25220 27040 27950 29068 31040 31525 32786 33368 33800 34400 35152 35776 36335 37636 38800 40352 41710 43940 44720 47045 50440 54080 54223 54925 55900 58136 63050 65572 66736 67600 68800 70304 72670 75272 77600 80704 81965 83420 87880 89440 94090 94471 100880 104275 108446 109850 111800 116272 122317 126100 131144 133472 135200 140608 145340 150544 155200 163930 166840 175760 178880 181675 188180 188942 201760 208550 213109 216892 219700 223600 232544 235225 244634 252200 262288 266944 270400 271115 290680 301088 327860 333680 351520 363350 376360 377884 403520 404587 409825 417100 426218 433784 439400 447200 465088 470450 472355 489268 504400 524576 542230 581360 602176 611585 655720 667360 703040 704899 726700 752720 755768 809174 819650 834200 852436 867568 878800 894400 912673 940900 944710 978536 1008800 1049152 1065545 1084460 1162720 1223170 1311440 1334720 1355575 1409798 1453400 1505440 1511536 1590121 1618348 1639300 1668400 1704872 1735136 1757600 1825346 1881800 1889420 1957072 2017600 2022935 2131090 2168920 2325440 2361775 2446340 2622880 2711150 2819596 2906800 3010880 3023072 3057925 3180242 3236696 3278600 3336800 3409744 3470272 3515200 3524495 3650692 3763600 3778840 3914144 4045870 4262180 4337840 4563365 4723550 4892680 5245760 5259631 5327725 5422300 5639192 5813600 6046144 6115850 6360484 6473392 6557200 6673600 6819488 7048990 7301384 7527200 7557680 7828288 7950605 8091740 8524360 8675680 9126730 9163687 9447100 9785360 10114675 10519262 10655450 10844600 11278384 11627200 11864749 12231700 12720968 12946784 13114400 13638976 14097980 14602768 15054400 15115360 15901210 16183480 17048720 17351360 17622475 18253460 18327374 18894200 19570720 20229350 20671573 21038524 21310900 21689200 22556768 22816825 23729498 24463400 25441936 25893568 26228800 26298155 28195960 29205536 30230720 31802420 32366960 34097440 35244950 36506920 36654748 37788400 39141440 39244939 39753025 40458700 41343146 42077048 42621800 43378400 45113536 45633650 45818435 47458996 48926800 50883872 52596310 56391920 58411072 59323745 63604840 64733920 68194880 68375203 70489900 73013840 73309496 75576800 78489878 79506050 80917400 82686292 84154096 85243600 86756800 91267300 91636870 94917992 97853600 101767744 103357865 105192620 112783840 118647490 127209680 129467840 131490775 136750406 140979800 146027680 146618992 151153600 154241737 156979756 159012100 161834800 165372584 168308192 170487200 182534600 183273740 189835984 195707200 196224695 206715730 210385240 225567680 229092175 237294980 254419360 262981550 273500812 281959600 292055360 293237984 296618725 308483474 313959512 318024200 323669600 330745168 336616384 340974400 341876015 365069200 366547480 379671968 392449390 413431460 420770480 458184350 474589960 508838720 510184207 516789325 525963100 547001624 563919200 586475968 593237450 616966948 627919024 636048400 647339200 661490336 683752030 730138400 733094960 759343936 771208685 784898780 826862920 841540960 888877639 916368700 949179920 981123475 1020368414 1033578650 1051926200 1094003248 1127838400 1186474900 1233933896 1255838048 1272096800 1322980672 1367504060 1460276800 1466189920 1542417370 1569797560 1653725840 1683081920 1709380075 1777755278 1832737400 1898359840 1962246950 2005142581 2040736828 2067157300 2103852400 2188006496 2372949800 2467867792 2511676096 2544193600 2550921035 2735008120 2932379840 3084834740 3139595120 3307451680 3418760150 3555510556 3665474800 3796719680 3856043425 3924493900 4010285162 4081473656 4134314600 4207704800 4376012992 4444388195 4745899600 4935735584 5101842070 5470016240 6169669480 6279190240 6614903360 6632394691 6837520300 7111021112 7330949600 7712086850 7848987800 8020570324 8162947312 8268629200 8415409600 8888776390 9491799200 9871471168 10025712905 10203684140 10940032480 12339338960 12558380480 12754605175 13264789382 13675040600 14222042224 14661899200 15424173700 15697975600 16041140648 16325894624 16537258400 17777552780 18983598400 20051425810 20407368280 21880064960 22221940975 24678677920 25509210350 26529578764 27350081200 28444084448 30848347400 31395951200 32082281296 32651789248 33074516800 33161973455 35555105560 40102851620 40814736560 44443881950 49357355840 50128564525 51018420700 53059157528 54700162400 56888168896 61696694800 62791902400 64164562592 66323946910 71110211120 80205703240 81629473120 86221130983 88887763900 100257129050 102036841400 106118315056 109400324800 123393389600 128329125184 132647893820 142220422240 160411406480 163258946240 165809867275 172442261966 177775527800 200514258100 204073682800 212236630112 246786779200 265295787640 284440844480 320822812960 331619734550 344884523932 355551055600 401028516200 408147365600 424473260224 431105654915 530591575280 641645625920 663239469100 689769047864 711102111200 802057032400 816294731200 862211309830 1061183150560 1326478938200 1379538095728 1422204222400 1604114064800 1724422619660 2122366301120 2155528274575 2652957876400 2759076191456 3208228129600 3448845239320 4311056549150 5305915752800 5518152382912 6897690478640 8622113098300 10611831505600 13795380957280 17244226196600 27590761914560 34488452393200 68976904786400 137953809572800
• Sum of all divisors σ(n): 380198804955200
• Sum of proper divisors (its aliquot sum) s(n): 242244995382400
• 137953809572800 is an abundant number, because the sum of its proper divisors (242244995382400) is greater than itself. Its abundance is 104291185809600

Bases of 137953809572800

• Binary: 11111010111011111011111110100001010001111000000₂
• Hexadecimal: 0x7D77DFD0A3C0
• Base-36: 1CWF3SCVR4

Squares and roots of 137953809572800

• 137953809572800 squared (137953809572800²) is 19031253575648364918499840000
• 137953809572800 cubed (137953809572800³) is 2625433931706663633260410919207268352000000
• The square root of 137953809572800 is 11745373.9647914149
• The cube root of 137953809572800 is 51670.7262781507

Scales and comparisons

• 137,953,809,572,800 seconds is equal to 4,386,504 years, 22 weeks, 19 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,953,809,572,800 would take you about ten million, nine hundred sixty-six thousand, two hundred sixty-one 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 137953809572800 cubic inches would be around 4305.9 feet tall.

Recreational maths with 137953809572800

• 137953809572800 backwards is 008275908359731
• The number of decimal digits it has is: 15
• The sum of 137953809572800's digits is 67
• More coming soon!