13982013945856000

Names of 13982013945856000

• Cardinal: 13982013945856000 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, thirteen billion, nine hundred forty-five million, eight hundred fifty-six thousand.

Scientific notation

• Scientific notation: 1.3982013945856 × 10¹⁶

Factors of 13982013945856000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 871

Divisors of 13982013945856000

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 640 704 800 853 880 1000 1024 1100 1280 1375 1408 1600 1706 1760 2000 2048 2200 2560 2750 2816 3200 3412 3520 4000 4096 4265 4400 5120 5500 5632 6400 6824 7040 8000 8192 8530 8800 9383 10240 11000 11264 12800 13648 14080 16000 16384 17060 17600 18766 20480 21325 22000 22528 25600 27296 28160 32000 34120 35200 37532 40960 42650 44000 45056 46915 51200 54592 56320 64000 68240 70400 75064 81920 85300 88000 90112 93830 102400 106625 109184 112640 128000 136480 140800 150128 170600 176000 180224 187660 204800 213250 218368 225280 234575 256000 272960 281600 300256 341200 352000 375320 409600 426500 436736 450560 469150 512000 545920 563200 600512 682400 704000 727609 750640 853000 873472 901120 938300 1024000 1091840 1126400 1172875 1201024 1364800 1408000 1455218 1501280 1706000 1746944 1876600 2048000 2183680 2252800 2345750 2402048 2729600 2816000 2910436 3002560 3412000 3493888 3638045 3753200 4367360 4505600 4691500 4804096 5459200 5632000 5820872 6005120 6824000 6987776 7276090 7506400 8003699 8734720 9383000 9608192 10918400 11264000 11641744 12010240 13648000 13975552 14552180 15012800 16007398 17469440 18190225 18766000 19216384 21836800 22528000 23283488 24020480 27296000 29104360 30025600 32014796 34938880 36380450 37532000 38432768 40018495 43673600 46566976 48040960 54592000 58208720 60051200 64029592 69877760 72760900 75064000 76865536 80036990 87347200 90951125 93133952 96081920 109184000 116417440 120102400 128059184 145521800 150128000 153731072 160073980 174694400 181902250 186267904 192163840 200092475 218368000 232834880 240204800 256118368 291043600 300256000 320147960 349388800 363804500 372535808 384327680 400184950 436736000 465669760 480409600 512236736 582087200 600512000 620650477 640295920 727609000 745071616 768655360 800369900 873472000 931339520 960819200 1000462375 1024473472 1164174400 1201024000 1241300954 1280591840 1455218000 1490143232 1600739800 1746944000 1862679040 1921638400 2000924750 2048946944 2328348800 2402048000 2482601908 2561183680 2910436000 2980286464 3103252385 3201479600 3725358080 3843276800 4001849500 4097893888 4656697600 4804096000 4965203816 5122367360 5820872000 5960572928 6206504770 6402959200 6827155247 7450716160 8003699000 8195787776 9313395200 9608192000 9930407632 10244734720 11641744000 11921145856 12413009540 12805918400 13654310494 14901432320 15516261925 16007398000 16391575552 18626790400 19216384000 19860815264 20489469440 23283488000 24826019080 25611836800 27308620988 29802864640 31032523850 32014796000 32783151104 34135776235 37253580800 39721630528 40978938880 46566976000 49652038160 51223673600 54617241976 59605729280 62065047700 64029592000 65566302208 68271552470 74507161600 77581309625 79443261056 81957877760 93133952000 99304076320 102447347200 109234483952 124130095400 128059184000 131132604416 136543104940 149014323200 155162619250 158886522112 163915755520 170678881175 186267904000 198608152640 204894694400 218468967904 248260190800 256118368000 273086209880 298028646400 310325238500 317773044224 327831511040 341357762350 372535808000 397216305280 409789388800 436937935808 496520381600 512236736000 546172419760 620650477000 635546088448 655663022080 682715524700 745071616000 794432610560 819578777600 853394405875 873875871616 993040763200 1024473472000 1092344839520 1241300954000 1271092176896 1365431049400 1490143232000 1588865221120 1639157555200 1706788811750 1747751743232 1986081526400 2048946944000 2184689679040 2482601908000 2542184353792 2730862098800 3177730442240 3278315110400 3413577623500 3495503486464 3972163052800 4097893888000 4369379358080 4965203816000 5084368707584 5461724197600 6355460884480 6827155247000 6991006972928 7944326105600 8195787776000 8738758716160 9930407632000 10168737415168 10923448395200 12710921768960 13654310494000 13982013945856 15888652211200 16391575552000 17477517432320 19860815264000 21846896790400 25421843537920 27308620988000 27964027891712 31777304422400 34955034864640 39721630528000 43693793580800 50843687075840 54617241976000 55928055783424 63554608844800 69910069729280 79443261056000 87387587161600 109234483952000 111856111566848 127109217689600 139820139458560 158886522112000 174775174323200 218468967904000 254218435379200 279640278917120 317773044224000 349550348646400 436937935808000 559280557834240 635546088448000 699100697292800 873875871616000 1271092176896000 1398201394585600 1747751743232000 2796402789171200 3495503486464000 6991006972928000 13982013945856000
• Sum of all divisors σ(n): 38115274816906560
• Sum of proper divisors (its aliquot sum) s(n): 24133260871050560
• 13982013945856000 is an abundant number, because the sum of its proper divisors (24133260871050560) is greater than itself. Its abundance is 10151246925194560

Bases of 13982013945856000

• Binary: 110001101011001001000101001110011111001100000000000000₂
• Hexadecimal: 0x31AC914E7CC000
• Base-36: 3TO7KJ6GKXS

Squares and roots of 13982013945856000

• 13982013945856000 squared (13982013945856000²) is 195496713982111670899572736000000
• 13982013945856000 cubed (13982013945856000³) is 2733437781266907050233764279583837782016000000000
• The square root of 13982013945856000 is 118245566.2841359985
• The cube root of 13982013945856000 is 240910.9704026503

Scales and comparisons

• 13,982,013,945,856,000 seconds is equal to 444,584,794 years, 14 weeks, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 13,982,013,945,856,000 would take you about one billion, three hundred thirty-three million, seven hundred fifty-four thousand, three hundred eighty-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 13982013945856000 cubic inches would be around 20075.9 feet tall.

Recreational maths with 13982013945856000

• 13982013945856000 backwards is 00065854931028931
• 13982013945856000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13982013945856000's digits is 64
• More coming soon!