138291351764400

Names of 138291351764400

• Cardinal: 138291351764400 can be written as One hundred thirty-eight trillion, two hundred ninety-one billion, three hundred fifty-one million, seven hundred sixty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.382913517644 × 10¹⁴

Factors of 138291351764400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 684137

Divisors of 138291351764400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 61 72 75 80 90 100 108 120 122 135 144 150 180 183 200 216 225 240 244 270 300 305 307 360 366 400 432 450 488 540 549 600 610 614 675 720 732 900 915 921 976 1080 1098 1200 1220 1228 1350 1464 1525 1535 1647 1800 1830 1842 2160 2196 2440 2456 2700 2745 2763 2928 3050 3070 3294 3600 3660 3684 4392 4575 4605 4880 4912 5400 5490 5526 6100 6140 6588 7320 7368 7675 8235 8289 8784 9150 9210 10800 10980 11052 12200 12280 13176 13725 13815 14640 14736 15350 16470 16578 18300 18420 18727 21960 22104 23025 24400 24560 26352 27450 27630 30700 32940 33156 36600 36840 37454 41175 41445 43920 44208 46050 54900 55260 56181 61400 65880 66312 69075 73200 73680 74908 82350 82890 92100 93635 109800 110520 112362 122800 131760 132624 138150 149816 164700 165780 168543 184200 187270 207225 219600 221040 224724 276300 280905 299632 329400 331560 337086 368400 374540 414450 449448 468175 505629 552600 561810 658800 663120 674172 683759 749080 828900 842715 898896 936350 1011258 1105200 1123620 1348344 1367518 1404525 1498160 1657800 1685430 1872700 2022516 2051277 2247240 2528145 2696688 2735036 2809050 3315600 3370860 3418795 3745400 4045032 4102554 4213575 4494480 5056290 5470072 5618100 6153831 6741720 6837590 7490800 8090064 8205108 8427150 10112580 10256385 10940144 11236200 12307662 12640725 13483440 13675180 16410216 16854300 17093975 18461493 20225160 20512770 22472400 24615324 25281450 27350360 30769155 32820432 33708600 34187950 36922986 40450320 41025540 41709299 49230648 50562900 51281925 54700720 61538310 67417200 68375900 73845972 82051080 83418598 92307465 98461296 101125800 102563850 123076620 125127897 136751800 147691944 153845775 164102160 166837196 184614930 202251600 205127700 208546495 209914013 246153240 250255794 273503600 295383888 307691550 333674392 369229860 375383691 410255400 417092990 419828026 461537325 492306480 500511588 615383100 625639485 629742039 667348784 738459720 750767382 820510800 834185980 839656052 923074650 1001023176 1042732475 1049570065 1126151073 1230766200 1251278970 1259484078 1476919440 1501534764 1668371960 1679312104 1846149300 1876918455 1889226117 2002046352 2085464950 2099140130 2252302146 2461532400 2502557940 2518968156 3003069528 3128197425 3148710195 3336743920 3358624208 3692298600 3753836910 3778452234 4170929900 4198280260 4504604292 5005115880 5037936312 5247850325 5630755365 5667678351 6006139056 6256394850 6297420390 7384597200 7507673820 7556904468 8341859800 8396560520 9009208584 9384592275 9446130585 10010231760 10075872624 10495700650 11261510730 11335356702 12512789700 12594840780 12804754793 15015347640 15113808936 15743550975 16683719600 16793121040 18018417168 18769184550 18892261170 20991401300 22523021460 22670713404 25025579400 25189681560 25609509586 28153776825 28338391755 30030695280 30227617872 31487101950 37538369100 37784522340 38414264379 41982802600 45046042920 45341426808 47230652925 50051158800 50379363120 51219019172 56307553650 56676783510 62974203900 64023773965 75076738200 75569044680 76828528758 83965605200 90092085840 90682853616 94461305850 102438038344 112615107300 113353567020 115242793137 125948407800 128047547930 141691958775 150153476400 151138089360 153657057516 188922611700 192071321895 204876076688 225230214600 226707134040 230485586274 251896815600 256095095860 283383917550 307314115032 320118869825 345728379411 377845223400 384142643790 450460429200 453414268080 460971172548 512190191720 566767835100 576213965685 614628230064 640237739650 691456758822 755690446800 768285287580 921942345096 960356609475 1024380383440 1133535670200 1152427931370 1280475479300 1382913517644 1536570575160 1728641897055 1843884690192 1920713218950 2267071340400 2304855862740 2560950958600 2765827035288 2881069828425 3073141150320 3457283794110 3841426437900 4609711725480 5121901917200 5531654070576 5762139656850 6914567588220 7682852875800 8643209485275 9219423450960 11524279313700 13829135176440 15365705751600 17286418970550 23048558627400 27658270352880 34572837941100 46097117254800 69145675882200 138291351764400
• Sum of all divisors σ(n): 501914192102400
• Sum of proper divisors (its aliquot sum) s(n): 363622840338000
• 138291351764400 is an abundant number, because the sum of its proper divisors (363622840338000) is greater than itself. Its abundance is 225331488573600

Bases of 138291351764400

• Binary: 11111011100011001110110111001011011110110110000₂
• Hexadecimal: 0x7DC676E5BDB0
• Base-36: 1D0Q649HO0

Squares and roots of 138291351764400

• 138291351764400 squared (138291351764400²) is 19124497972825018993107360000
• 138291351764400 cubed (138291351764400³) is 2644752676477499413584921020774625984000000
• The square root of 138291351764400 is 11759734.3407238583
• The cube root of 138291351764400 is 51712.8342000265

Scales and comparisons

• 138,291,351,764,400 seconds is equal to 4,397,237 years, 11 weeks, 4 days, 3 hours.
• To count from 1 to 138,291,351,764,400 would take you about ten million, nine hundred ninety-three thousand and ninety-three 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 138291351764400 cubic inches would be around 4309.4 feet tall.

Recreational maths with 138291351764400

• 138291351764400 backwards is 004467153192831
• 138291351764400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138291351764400's digits is 54
• More coming soon!