138973938760800

Names of 138973938760800

• Cardinal: 138973938760800 can be written as One hundred thirty-eight trillion, nine hundred seventy-three billion, nine hundred thirty-eight million, seven hundred sixty thousand, eight hundred.

Scientific notation

• Scientific notation: 1.389739387608 × 10¹⁴

Factors of 138973938760800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 134978607

Divisors of 138973938760800

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 130 132 143 144 150 156 160 165 176 180 195 198 200 208 220 225 234 240 260 264 275 286 288 300 312 325 330 352 360 390 396 400 416 429 440 450 468 480 495 520 528 550 572 585 600 624 650 660 715 720 780 792 800 825 858 880 900 936 975 990 1040 1056 1100 1144 1170 1200 1248 1287 1300 1320 1430 1440 1560 1584 1650 1716 1760 1800 1872 1950 1980 2080 2145 2200 2288 2340 2400 2475 2574 2600 2640 2860 2925 3120 3168 3300 3432 3575 3600 3744 3900 3960 4290 4400 4576 4680 4950 5148 5200 5280 5720 5850 6240 6435 6600 6864 7150 7200 7800 7920 8580 8800 9360 9900 10296 10400 10725 11440 11700 12870 13200 13728 14300 15600 15840 17160 18720 19800 20592 21450 22880 23400 25740 26400 28600 31200 32175 34320 39600 41184 42900 46800 51480 57200 64350 68640 79200 85800 93600 102960 114400 128700 171600 205920 257400 343200 514800 1029600 134978573 269957146 404935719 539914292 674892865 809871438 1079828584 1214807157 1349785730 1484764303 1619742876 1754721449 2024678595 2159657168 2429614314 2699571460 2969528606 3239485752 3374464325 3509442898 4049357190 4319314336 4454292909 4859228628 5264164347 5399142920 5939057212 6074035785 6478971504 6748928650 7018885796 7423821515 8098714380 8773607245 8908585818 9718457256 10123392975 10528328694 10798285840 11878114424 12148071570 12957943008 13362878727 13497857300 14037771592 14847643030 15792493041 16197428760 17547214490 17817171636 19301935939 19436914512 20246785950 21056657388 21596571680 22271464545 23756228848 24296143140 26320821735 26725757454 26995714600 28075543184 29695286060 30370178925 31584986082 32394857520 35094428980 35634343272 37119107575 38603871878 38873829024 40493571900 42113314776 43868036225 44542929090 47512457696 48592286280 52641643470 53451514908 53991429200 56151086368 57905807817 59390572120 60740357850 63169972164 64789715040 66814393635 70188857960 71268686544 74238215150 77207743756 78962465205 80987143800 84226629552 87736072450 89085858180 96509679695 97184572560 105283286940 106903029816 107982858400 111357322725 115811615634 118781144240 121480715700 126339944328 131604108675 133628787270 140377715920 142537373088 148476430300 154415487512 157924930410 161974287600 168453259104 173717423451 175472144900 178171716360 193019359390 194369145120 210566573880 213806059632 222714645450 231623231268 237562288480 242961431400 252679888656 263208217350 267257574540 280755431840 289529039085 296952860600 308830975024 315849860820 323948575200 334071968175 347434846902 350944289800 356343432720 386038718780 394812326025 421133147760 427612119264 445429290900 463246462536 482548398475 485922862800 505359777312 526416434700 534515149080 579058078170 593905721200 617661950048 631699721640 668143936350 694869693804 701888579600 712686865440 772077437560 789624652050 842266295520 868587117255 890858581800 926492925072 965096796950 971845725600 1052832869400 1069030298160 1158116156340 1187811442400 1263399443280 1336287872700 1389739387608 1403777159200 1447645195425 1544154875120 1579249304100 1737174234510 1781717163600 1852985850144 1930193593900 2105665738800 2138060596320 2316232312680 2526798886560 2672575745400 2779478775216 2895290390850 3088309750240 3158498608200 3474348469020 3563434327200 3860387187800 4211331477600 4342935586275 4632464625360 5345151490800 5558957550432 5790580781700 6316997216400 6948696938040 7720774375600 8685871172550 9264929250720 10690302981600 11581161563400 12633994432800 13897393876080 15441548751200 17371742345100 23162323126800 27794787752160 34743484690200 46324646253600 69486969380400 138973938760800
• Sum of all divisors σ(n): 575731130568048
• Sum of proper divisors (its aliquot sum) s(n): 436757191807248
• 138973938760800 is an abundant number, because the sum of its proper divisors (436757191807248) is greater than itself. Its abundance is 297783253046448

Bases of 138973938760800

• Binary: 11111100110010101100100010000001011110001100000₂
• Hexadecimal: 0x7E656440BC60
• Base-36: 1D9FQUXQW0

Squares and roots of 138973938760800

• 138973938760800 squared (138973938760800²) is 19313755654690588639616640000
• 138973938760800 cubed (138973938760800³) is 2684108695596024576874187108148659712000000
• The square root of 138973938760800 is 11788720.8280118329
• The cube root of 138973938760800 is 51797.7770646571

Scales and comparisons

• 138,973,938,760,800 seconds is equal to 4,418,941 years, 19 weeks, 4 days, 14 hours.
• To count from 1 to 138,973,938,760,800 would take you about eleven million, forty-seven thousand, three hundred fifty-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 138973938760800 cubic inches would be around 4316.5 feet tall.

Recreational maths with 138973938760800

• 138973938760800 backwards is 008067839379831
• 138973938760800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138973938760800's digits is 72
• More coming soon!