12814718400

Names of 12814718400

• Cardinal: 12814718400 can be written as Twelve billion, eight hundred fourteen million, seven hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.28147184 × 10¹⁰

Factors of 12814718400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 211

Divisors of 12814718400

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 89 90 96 99 100 101 108 110 120 132 135 144 150 160 162 165 176 178 180 192 198 200 202 216 220 225 240 264 267 270 275 288 297 300 303 320 324 330 352 356 360 396 400 404 405 432 440 445 450 480 495 505 528 534 540 550 576 594 600 606 648 660 675 704 712 720 792 800 801 808 810 825 864 880 890 891 900 909 960 979 990 1010 1056 1068 1080 1100 1111 1188 1200 1212 1296 1320 1335 1350 1424 1440 1485 1515 1584 1600 1602 1616 1620 1650 1728 1760 1780 1782 1800 1818 1958 1980 2020 2025 2112 2136 2160 2200 2222 2225 2376 2400 2403 2424 2475 2525 2592 2640 2670 2700 2727 2848 2880 2937 2970 3030 3168 3204 3232 3240 3300 3333 3520 3560 3564 3600 3636 3916 3960 4005 4040 4050 4272 4320 4400 4444 4450 4455 4545 4752 4800 4806 4848 4895 4950 5050 5184 5280 5340 5400 5454 5555 5696 5874 5940 6060 6336 6408 6464 6480 6600 6666 6675 7120 7128 7200 7209 7272 7425 7575 7832 7920 8010 8080 8100 8181 8544 8640 8800 8811 8888 8900 8910 8989 9090 9504 9612 9696 9790 9900 9999 10100 10560 10680 10800 10908 11110 11748 11880 12015 12120 12816 12960 13200 13332 13350 13635 14240 14256 14400 14418 14544 14685 14850 15150 15664 15840 16020 16160 16200 16362 16665 17088 17600 17622 17776 17800 17820 17978 18180 19008 19224 19392 19580 19800 19998 20025 20200 21360 21600 21816 22220 22275 22725 23496 23760 24030 24240 24475 25632 25920 26400 26433 26664 26700 26967 27270 27775 28480 28512 28836 29088 29370 29700 29997 30300 31328 31680 32040 32320 32400 32724 33330 35244 35552 35600 35640 35956 36045 36360 38448 39160 39600 39996 40050 40400 40905 42720 43200 43632 44055 44440 44550 44945 45450 46992 47520 48060 48480 48950 49995 51264 52800 52866 53328 53400 53934 54540 55550 57024 57672 58176 58740 59400 59994 60075 60600 62656 64080 64800 65448 66660 68175 70488 71104 71200 71280 71912 72090 72720 73425 76896 78320 79200 79299 79992 80100 80800 80901 81810 83325 85440 87264 88110 88880 89100 89890 89991 90900 93984 95040 96120 96960 97900 98879 99990 105732 106656 106800 107868 109080 111100 115344 117480 118800 119988 120150 121200 128160 129600 130896 132165 133320 134835 136350 140976 142400 142560 143824 144180 145440 146850 149985 153792 156640 158400 158598 159984 160200 161600 161802 163620 166650 174528 176220 177760 178200 179780 179982 180225 181800 187968 192240 195800 197758 199980 204525 211464 213312 213600 215736 218160 220275 222200 224725 230688 234960 237600 239976 240300 242400 242703 249975 256320 261792 264330 266640 269670 272700 281952 285120 287648 288360 290880 293700 296637 299970 313280 317196 319968 320400 323604 327240 333300 352440 355520 356400 359560 359964 360450 363600 384480 391600 395516 396495 399960 404505 409050 422928 427200 431472 436320 440550 444400 449450 449955 461376 469920 475200 479952 480600 484800 485406 494395 499950 523584 528660 533280 539340 545400 563904 575296 576720 587400 593274 599940 634392 639936 640800 647208 654480 660825 666600 674175 704880 712800 719120 719928 720900 727200 728109 749925 768960 783200 791032 792990 799920 809010 818100 845856 862944 872640 881100 888800 889911 898900 899910 939840 959904 961200 970812 988790 999900 1057320 1066560 1078680 1090800 1153440 1174800 1186548 1199880 1213515 1268784 1281600 1294416 1308960 1321650 1333200 1348350 1409760 1425600 1438240 1439856 1441800 1454400 1456218 1483185 1499850 1566400 1582064 1585980 1599840 1618020 1636200 1691712 1725888 1762200 1777600 1779822 1797800 1799820 1919808 1922400 1941624 1977580 1982475 1999800 2022525 2114640 2157360 2181600 2249775 2306880 2349600 2373096 2399760 2427030 2471975 2537568 2588832 2617920 2643300 2666400 2669733 2696700 2819520 2876480 2879712 2883600 2912436 2966370 2999700 3164128 3171960 3199680 3236040 3272400 3524400 3559644 3595600 3599640 3640545 3844800 3883248 3955160 3964950 3999600 4045050 4229280 4314720 4363200 4449555 4499550 4699200 4746192 4799520 4854060 4943950 5075136 5177664 5286600 5332800 5339466 5393400 5759424 5767200 5824872 5932740 5999400 6067575 6328256 6343920 6472080 6544800 7048800 7119288 7191200 7199280 7281090 7415925 7766496 7910320 7929900 7999200 8009199 8090100 8458560 8629440 8899110 8999100 9492384 9599040 9708120 9887900 10573200 10678932 10786800 11534400 11649744 11865480 11998800 12135150 12687840 12944160 13089600 13348665 14097600 14238576 14382400 14398560 14562180 14831850 15532992 15820640 15859800 15998400 16018398 16180200 17798220 17998200 18202725 18984768 19416240 19775800 21146400 21357864 21573600 22247775 23299488 23730960 23997600 24270300 25375680 25888320 26697330 28477152 28797120 29124360 29663700 31641280 31719600 32036796 32360400 35596440 35996400 36405450 38832480 39551600 40045995 42292800 42715728 43147200 44495550 46598976 47461920 47995200 48540600 53394660 56954304 58248720 59327400 63439200 64073592 64720800 66743325 71192880 71992800 72810900 77664960 79103200 80091990 85431456 88991100 94923840 97081200 106789320 116497440 118654800 126878400 128147184 129441600 133486650 142385760 143985600 145621800 158206400 160183980 170862912 177982200 194162400 200229975 213578640 232994880 237309600 256294368 266973300 284771520 291243600 320367960 355964400 388324800 400459950 427157280 474619200 512588736 533946600 582487200 640735920 711928800 800919900 854314560 1067893200 1164974400 1281471840 1423857600 1601839800 2135786400 2562943680 3203679600 4271572800 6407359200 12814718400
• Sum of all divisors σ(n): 52477690320
• Sum of proper divisors (its aliquot sum) s(n): 39662971920
• 12814718400 is an abundant number, because the sum of its proper divisors (39662971920) is greater than itself. Its abundance is 26848253520

Bases of 12814718400

• Binary: 1011111011110100010001010111000000₂
• Hexadecimal: 0x2FBD115C0
• Base-36: 5VXJW00

Squares and roots of 12814718400

• 12814718400 squared (12814718400²) is 164217007671298560000
• 12814718400 cubed (12814718400³) is 2104394709798330808725504000000
• The square root of 12814718400 is 113202.1130544833
• The cube root of 12814718400 is 2340.1104484357

Scales and comparisons

• 12,814,718,400 seconds is equal to 407 years, 24 weeks, 2 days, 12 hours.
• To count from 1 to 12,814,718,400 would take you about eight hundred fourteen 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 12814718400 cubic inches would be around 195 feet tall.

Recreational maths with 12814718400

• 12814718400 backwards is 00481741821
• 12814718400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 12814718400's digits is 36
• More coming soon!