137135701020800

Names of 137135701020800

• Cardinal: 137135701020800 can be written as One hundred thirty-seven trillion, one hundred thirty-five billion, seven hundred one million, twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.371357010208 × 10¹⁴

Factors of 137135701020800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 110511

Divisors of 137135701020800

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 137 160 167 170 200 272 274 320 334 340 400 425 544 548 640 668 680 685 800 835 850 1088 1096 1336 1360 1370 1600 1670 1700 2176 2192 2329 2672 2720 2740 2839 3200 3340 3400 3425 4175 4384 4658 5344 5440 5480 5678 6680 6800 6850 8350 8768 9316 10688 10880 10960 11356 11645 13360 13600 13700 14195 16700 17536 18632 21376 21920 22712 22879 23290 26720 27200 27400 28390 33400 37264 43840 45424 45758 46580 53440 54400 54800 56780 58225 66800 70975 74528 87680 90848 91516 93160 106880 109600 110183 113560 114395 116450 133600 141950 149056 181696 183032 186320 219200 220366 227120 228790 232900 267200 283900 298112 363392 366064 372640 388943 438400 440732 454240 457580 465800 534400 550915 567800 571975 732128 745280 777886 881464 908480 915160 931600 1101830 1135600 1143950 1464256 1490560 1555772 1762928 1816960 1830320 1863200 1873111 1944715 2203660 2271200 2287900 2754575 2928512 3111544 3525856 3660640 3726400 3746222 3889430 4407320 4542400 4575800 5509150 6223088 7051712 7321280 7452800 7492444 7778860 8814640 9084800 9151600 9365555 9723575 11018300 12446176 14103424 14642560 14984888 15095071 15557720 17629280 18303200 18400561 18731110 19447150 22036600 24892352 29969776 30190142 31115440 35258560 36606400 36801122 37462220 38894300 44073200 46827775 49784704 59939552 60380284 62230880 70517120 73212800 73602244 74924440 75475355 77788600 88146400 92002805 93655550 119879104 120760568 124461760 147204488 149848880 150950710 155577200 176292800 184005610 187311100 239758208 241521136 248923520 256616207 294408976 299697760 301901420 311154400 312809537 352585600 368011220 374622200 377376775 460014025 483042272 513232414 588817952 599395520 603802840 622308800 625619074 736022440 749244400 754753550 920028050 966084544 1026464828 1177635904 1198791040 1207605680 1244617600 1251238148 1283081035 1472044880 1498488800 1509507100 1564047685 1840056100 1932169088 2052929656 2355271808 2415211360 2502476296 2520876857 2566162070 2944089760 2996977600 3019014200 3128095370 3680112200 4105859312 4830422720 5004952592 5041753714 5132324140 5888179520 5993955200 6038028400 6256190740 6415405175 7360224400 7820238425 8211718624 9660845440 10009905184 10083507428 10264648280 11776359040 12076056800 12512381480 12604384285 12830810350 14720448800 15640476850 16423437248 20019810368 20167014856 20529296560 24152113600 25024762960 25208768570 25661620700 29440897600 31280953700 32846874496 40039620736 40334029712 41058593120 42854906569 48304227200 50049525920 50417537140 51323241400 58881795200 62561907400 63021921425 80668059424 82117186240 85709813138 100099051840 100835074280 102646482800 125123814800 126043842850 161336118848 164234372480 171419626276 200198103680 201670148560 205292965600 214274532845 250247629600 252087685700 322672237696 342839252552 403340297120 410585931200 428549065690 500495259200 504175371400 685678505104 806680594240 821171862400 857098131380 1000990518400 1008350742800 1071372664225 1371357010208 1613361188480 1714196262760 2016701485600 2142745328450 2742714020416 3428392525520 4033402971200 4285490656900 5485428040832 6856785051040 8066805942400 8570981313800 13713570102080 17141962627600 27427140204160 34283925255200 68567850510400 137135701020800
• Sum of all divisors σ(n): 363480638250240
• Sum of proper divisors (its aliquot sum) s(n): 226344937229440
• 137135701020800 is an abundant number, because the sum of its proper divisors (226344937229440) is greater than itself. Its abundance is 89209236208640

Bases of 137135701020800

• Binary: 11111001011100101100100101111101101000010000000₂
• Hexadecimal: 0x7CB964BED080
• Base-36: 1CLZ9RNCZK

Squares and roots of 137135701020800

• 137135701020800 squared (137135701020800²) is 18806200494466246162032640000
• 137135701020800 cubed (137135701020800³) is 2579001488346344258553803591450918912000000
• The square root of 137135701020800 is 11710495.3362699395
• The cube root of 137135701020800 is 51568.3825973267

Scales and comparisons

• 137,135,701,020,800 seconds is equal to 4,360,491 years, 5 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 137,135,701,020,800 would take you about ten million, nine hundred one thousand, two hundred twenty-seven 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 137135701020800 cubic inches would be around 4297.4 feet tall.

Recreational maths with 137135701020800

• 137135701020800 backwards is 008020107531731
• The number of decimal digits it has is: 15
• The sum of 137135701020800's digits is 38
• More coming soon!