12681768948800

Names of 12681768948800

• Cardinal: 12681768948800 can be written as Twelve trillion, six hundred eighty-one billion, seven hundred sixty-eight million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.26817689488 × 10¹³

Factors of 12681768948800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 272

Divisors of 12681768948800

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 101 112 140 157 160 175 196 200 202 224 245 280 314 320 350 392 400 404 448 490 505 560 628 700 707 784 785 800 808 980 1010 1099 1120 1225 1256 1400 1414 1568 1570 1600 1616 1960 2020 2198 2240 2450 2512 2525 2800 2828 3136 3140 3232 3535 3920 3925 4040 4396 4900 4949 5024 5050 5495 5600 5656 6280 6464 7070 7693 7840 7850 8080 8792 9800 9898 10048 10100 10201 10990 11200 11312 12560 14140 15386 15680 15700 15857 16160 17584 17675 19600 19796 20200 20402 21980 22624 24745 25120 27475 28280 30772 31400 31714 32320 35168 35350 38465 39200 39592 40400 40804 43960 45248 49490 50240 51005 54950 56560 61544 62800 63428 70336 70700 71407 76930 78400 79184 79285 80800 81608 87920 98980 102010 109900 110999 113120 123088 123725 125600 126856 141400 142814 153860 158368 158570 161600 163216 175840 192325 197960 204020 219800 221998 226240 246176 247450 251200 253712 255025 282800 285628 307720 316736 317140 326432 351680 357035 384650 395920 396425 408040 439600 443996 492352 494900 499849 507424 510050 554995 565600 571256 615440 634280 652864 714070 769300 776993 791840 792850 816080 879200 887992 989800 999698 1014848 1020100 1030301 1109990 1131200 1142512 1230880 1268560 1428140 1538600 1553986 1583680 1585700 1601557 1632160 1758400 1775984 1785175 1979600 1999396 2040200 2060602 2219980 2285024 2461760 2499245 2537120 2774975 2856280 3077200 3107972 3171400 3203114 3264320 3551968 3570350 3884965 3959200 3998792 4080400 4121204 4439960 4570048 4998490 5074240 5151505 5549950 5712560 6154400 6215944 6342800 6406228 7103936 7140700 7212107 7769930 7918400 7997584 8007785 8160800 8242408 8879920 9996980 10303010 11099900 11210899 11425120 12308800 12431888 12496225 12685600 12812456 14281400 14424214 15539860 15995168 16015570 16321600 16484816 17759840 19424825 19993960 20606020 22199800 22421798 22850240 24863776 24992450 25371200 25624912 25757525 28562800 28848428 31079720 31990336 32031140 32969632 35519680 36060535 38849650 39987920 40038925 41212040 44399600 44843596 49727552 49984900 50484749 51249824 51515050 56054495 57125600 57696856 62159440 64062280 65939264 72121070 77699300 78476293 79975840 80077850 82424080 88799200 89687192 99969800 100969498 102499648 103030100 112108990 114251200 115393712 124318880 128124560 144242140 155398600 156952586 159951680 160155700 161757257 164848160 177598400 179374384 180302675 199939600 201938996 206060200 224217980 230787424 248637760 252423745 256249120 280272475 288484280 310797200 313905172 320311400 323514514 329696320 358748768 360605350 392381465 399879200 403877992 412120400 448435960 461574848 504847490 512498240 560544950 576968560 621594400 627810344 640622800 647029028 717497536 721210700 784762930 799758400 807755984 808786285 824240800 896871920 1009694980 1121089900 1132300799 1153937120 1243188800 1255620688 1262118725 1281245600 1294058056 1442421400 1569525860 1615511968 1617572570 1648481600 1793743840 1961907325 2019389960 2242179800 2264601598 2307874240 2511241376 2524237450 2562491200 2588116112 2884842800 3139051720 3231023936 3235145140 3587487680 3923814650 4038779920 4043931425 4484359600 4529203196 5022482752 5048474900 5176232224 5661503995 5769685600 6278103440 6470290280 7847629300 7926105593 8077559840 8087862850 8968719200 9058406392 10096949800 10352464448 11323007990 11539371200 12556206880 12940580560 15695258600 15852211186 16155119680 16175725700 17937438400 18116812784 20193899600 22646015980 25112413760 25881161120 28307519975 31390517200 31704422372 32351451400 36233625568 39630527965 40387799200 45292031960 51762322240 56615039950 62781034400 63408844744 64702902800 72467251136 79261055930 80775598400 90584063920 113230079900 125562068800 126817689488 129405805600 158522111860 181168127840 198152639825 226460159800 253635378976 258811611200 317044223720 362336255680 396305279650 452920319600 507270757952 634088447440 792610559300 905840639200 1268176894880 1585221118600 1811681278400 2536353789760 3170442237200 6340884474400 12681768948800
• Sum of all divisors σ(n): 36896302679688
• Sum of proper divisors (its aliquot sum) s(n): 24214533730888
• 12681768948800 is an abundant number, because the sum of its proper divisors (24214533730888) is greater than itself. Its abundance is 11532764782088

Bases of 12681768948800

• Binary: 10111000100010110100010101010101010001000000₂
• Hexadecimal: 0xB88B4555440
• Base-36: 4HTX9SQWW

Squares and roots of 12681768948800

• 12681768948800 squared (12681768948800²) is 160827263670747857021440000
• 12681768948800 cubed (12681768948800³) is 2039574198540160480048639847862272000000
• The square root of 12681768948800 is 3561147.1394481861
• The cube root of 12681768948800 is 23319.8961548511

Scales and comparisons

• 12,681,768,948,800 seconds is equal to 403,241 years, 1 week, 2 days, 4 hours, 53 minutes, 20 seconds.
• To count from 1 to 12,681,768,948,800 would take you about one million, eight thousand, one hundred two 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 12681768948800 cubic inches would be around 1943.3 feet tall.

Recreational maths with 12681768948800

• 12681768948800 backwards is 00884986718621
• The number of decimal digits it has is: 14
• The sum of 12681768948800's digits is 68
• More coming soon!