12978316800

Names of 12978316800

• Cardinal: 12978316800 can be written as Twelve billion, nine hundred seventy-eight million, three hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.29783168 × 10¹⁰

Factors of 12978316800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 74

Divisors of 12978316800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 47 48 50 51 54 60 64 68 72 75 80 85 90 94 96 100 102 108 120 128 135 136 141 144 150 153 160 170 180 188 192 200 204 216 225 235 240 255 256 270 272 282 288 300 306 320 340 360 376 384 400 408 423 425 432 450 459 470 480 510 512 540 544 564 576 600 612 640 675 680 705 720 752 765 768 799 800 816 846 850 864 900 918 940 960 1020 1080 1088 1128 1152 1175 1200 1224 1269 1275 1280 1350 1360 1410 1440 1504 1530 1536 1598 1600 1632 1692 1700 1728 1800 1836 1880 1920 2040 2115 2160 2176 2209 2256 2295 2304 2350 2397 2400 2448 2538 2550 2560 2700 2720 2820 2880 3008 3060 3196 3200 3264 3384 3400 3456 3525 3600 3672 3760 3825 3840 3995 4080 4230 4320 4352 4418 4512 4590 4608 4700 4794 4800 4896 5076 5100 5400 5440 5640 5760 6016 6120 6345 6392 6400 6528 6627 6768 6800 6912 7050 7191 7200 7344 7520 7650 7680 7990 8160 8460 8640 8704 8836 9024 9180 9400 9588 9600 9792 10152 10200 10575 10800 10880 11045 11280 11475 11520 11985 12032 12240 12690 12784 12800 13056 13254 13536 13600 13824 14100 14382 14400 14688 15040 15300 15980 16320 16920 17280 17672 18048 18360 18800 19176 19200 19584 19881 19975 20304 20400 21150 21573 21600 21760 22090 22560 22950 23040 23970 24064 24480 25380 25568 26112 26508 27072 27200 28200 28764 28800 29376 30080 30600 31725 31960 32640 33135 33840 34560 35344 35955 36096 36720 37553 37600 38352 38400 39168 39762 39950 40608 40800 42300 43146 43200 43520 44180 45120 45900 47940 48960 50760 51136 53016 54144 54400 55225 56400 57528 57600 58752 59643 59925 60160 61200 63450 63920 65280 66270 67680 69120 70688 71910 72192 73440 75106 75200 76704 78336 79524 79900 81216 81600 84600 86292 86400 88360 90240 91800 95880 97920 99405 101520 102272 106032 107865 108288 108800 110450 112659 112800 115056 115200 117504 119286 119850 120320 122400 126900 127840 130560 132540 135360 141376 143820 146880 150212 150400 153408 159048 159800 162432 163200 165675 169200 172584 172800 176720 179775 180480 183600 187765 191760 195840 198810 203040 204544 212064 215730 216576 217600 220900 225318 225600 230112 235008 238572 239700 244800 253800 255680 265080 270720 282752 287640 293760 298215 300424 300800 306816 318096 319600 324864 326400 331350 337977 338400 345168 345600 353440 359550 360960 367200 375530 383520 391680 397620 406080 409088 424128 431460 441800 450636 451200 460224 477144 479400 489600 497025 507600 511360 530160 539325 541440 563295 565504 575280 587520 596430 600848 601600 613632 636192 639200 649728 652800 662700 675954 676800 690336 706880 719100 734400 751060 767040 795240 812160 848256 862920 883600 901272 902400 920448 938825 954288 958800 979200 994050 1013931 1015200 1022720 1060320 1078650 1082880 1126590 1131008 1150560 1175040 1192860 1201696 1227264 1272384 1278400 1325400 1351908 1353600 1380672 1413760 1438200 1468800 1491075 1502120 1534080 1590480 1624320 1689885 1696512 1725840 1767200 1802544 1804800 1840896 1877650 1908576 1917600 1958400 1988100 2027862 2030400 2045440 2120640 2157300 2253180 2301120 2385720 2403392 2544768 2556800 2650800 2703816 2707200 2761344 2816475 2827520 2876400 2937600 2982150 3004240 3068160 3180960 3248640 3379770 3393024 3451680 3534400 3605088 3681792 3755300 3817152 3835200 3976200 4055724 4060800 4241280 4314600 4506360 4602240 4771440 4806784 5069655 5089536 5113600 5301600 5407632 5414400 5522688 5632950 5655040 5752800 5875200 5964300 6008480 6136320 6361920 6759540 6903360 7068800 7210176 7510600 7634304 7670400 7952400 8111448 8121600 8449425 8482560 8629200 9012720 9204480 9542880 9613568 10139310 10179072 10227200 10603200 10815264 11045376 11265900 11505600 11928600 12016960 12723840 13519080 13806720 14137600 14420352 15021200 15268608 15340800 15904800 16222896 16243200 16898850 16965120 17258400 18025440 18408960 19085760 19227136 20278620 21206400 21630528 22531800 23011200 23857200 24033920 25348275 25447680 27038160 27613440 28275200 28840704 30042400 30537216 30681600 31809600 32445792 33797700 34516800 36050880 38171520 40557240 42412800 43261056 45063600 46022400 47714400 48067840 50696550 50895360 54076320 55226880 57681408 60084800 63619200 64891584 67595400 69033600 72101760 76343040 81114480 84825600 86522112 90127200 92044800 95428800 96135680 101393100 108152640 120169600 127238400 129783168 135190800 138067200 144203520 152686080 162228960 173044224 180254400 190857600 202786200 216305280 240339200 254476800 259566336 270381600 276134400 288407040 324457920 360508800 381715200 405572400 432610560 480678400 519132672 540763200 648915840 721017600 763430400 811144800 865221120 1081526400 1297831680 1442035200 1622289600 2163052800 2595663360 3244579200 4326105600 6489158400 12978316800
• Sum of all divisors σ(n): 51534893520
• Sum of proper divisors (its aliquot sum) s(n): 38556576720
• 12978316800 is an abundant number, because the sum of its proper divisors (38556576720) is greater than itself. Its abundance is 25578259920

Bases of 12978316800

• Binary: 1100000101100100010110011000000000₂
• Hexadecimal: 0x305916600
• Base-36: 5YMYDC0

Squares and roots of 12978316800

• 12978316800 squared (12978316800²) is 168436706961162240000
• 12978316800 cubed (12978316800³) is 2186024943690728846917632000000
• The square root of 12978316800 is 113922.4157047243
• The cube root of 12978316800 is 2350.0266663641

Scales and comparisons

• 12,978,316,800 seconds is equal to 412 years, 34 weeks, 6 days.
• To count from 1 to 12,978,316,800 would take you about eight hundred twenty-five 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 12978316800 cubic inches would be around 195.8 feet tall.

Recreational maths with 12978316800

• 12978316800 backwards is 00861387921
• 12978316800 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12978316800's digits is 45
• More coming soon!