13857720979216000

Names of 13857720979216000

• Cardinal: 13857720979216000 can be written as Thirteen quadrillion, eight hundred fifty-seven trillion, seven hundred twenty billion, nine hundred seventy-nine million, two hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.3857720979216 × 10¹⁶

Factors of 13857720979216000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1014

Divisors of 13857720979216000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 43 46 50 64 80 86 92 100 115 125 128 160 172 184 200 215 230 250 320 344 368 400 430 460 500 529 575 640 688 736 800 860 920 941 989 1000 1058 1075 1150 1376 1472 1600 1720 1840 1849 1882 1978 2000 2116 2150 2300 2645 2752 2875 2944 3200 3440 3680 3698 3764 3956 4000 4232 4300 4600 4705 4945 5290 5375 5504 5750 6880 7360 7396 7528 7912 8000 8464 8600 9200 9245 9410 9890 10580 10750 11500 13225 13760 14720 14792 15056 15824 16000 16928 17200 18400 18490 18820 19780 21160 21500 21643 22747 23000 23525 24725 26450 27520 29584 30112 31648 33856 34400 36800 36980 37640 39560 40463 42320 42527 43000 43286 45494 46000 46225 47050 49450 52900 59168 60224 63296 66125 67712 68800 73600 73960 75280 79120 80926 84640 85054 86000 86572 90988 92000 92450 94100 98900 105800 108215 113735 117625 118336 120448 123625 126592 132250 137600 147920 150560 158240 161852 169280 170108 172000 173144 181976 184000 184900 188200 197800 202315 211600 212635 216430 227470 231125 235250 236672 247250 264500 295840 301120 316480 323704 338560 340216 344000 346288 363952 368000 369800 376400 395600 404630 423200 425270 432860 454940 462250 470500 494500 497789 529000 541075 568675 591680 602240 632960 647408 680432 688000 692576 727904 739600 752800 791200 809260 846400 850540 865720 885481 909880 924500 930649 941000 978121 989000 995578 1011575 1058000 1063175 1082150 1137350 1183360 1294816 1360864 1385152 1455808 1479200 1505600 1582400 1618520 1692800 1701080 1731440 1739909 1770962 1819760 1849000 1861298 1882000 1956242 1978000 1991156 2023150 2116000 2126350 2164300 2274700 2488945 2589632 2705375 2721728 2770304 2843375 2911616 2958400 3011200 3164800 3237040 3402160 3462880 3479818 3541924 3639520 3698000 3722596 3764000 3912484 3956000 3982312 4046300 4232000 4252700 4328600 4427405 4549400 4653245 4890605 4977890 5057875 5179264 5315875 5410750 5443456 5686750 5916800 6474080 6804320 6925760 6959636 7083848 7279040 7396000 7445192 7528000 7824968 7912000 7964624 8092600 8464000 8505400 8657200 8699545 8854810 9098800 9306490 9781210 9955780 10115750 10631750 10821500 11373500 12444725 12948160 13608640 13851520 13919272 14167696 14558080 14792000 14890384 15056000 15649936 15824000 15929248 16185200 17010800 17314400 17399090 17709620 18197600 18612980 19562420 19911560 20231500 20366063 21263500 21404927 21643000 22137025 22747000 23266225 24453025 24889450 25896320 27217280 27838544 28335392 29584000 29780768 31299872 31858496 32370400 34021600 34628800 34798180 35419240 36395200 37225960 38075683 39124840 39823120 40017907 40463000 40732126 42527000 42809854 43286000 43497725 44274050 45494000 46532450 48906050 49778900 55677088 56670784 59561536 62223625 62599744 63716992 64740800 68043200 69257600 69596360 70838480 72790400 74451920 76151366 78249680 79646240 80035814 80926000 81464252 85054000 85619708 86572000 86995450 88548100 90988000 93064900 97812100 99557800 101830315 107024635 110685125 111354176 113341568 116331125 119123072 122265125 124447250 125199488 129481600 136086400 139192720 141676960 148903840 152302732 156499360 159292480 160071628 161852000 162928504 170108000 171239416 173144000 173990900 177096200 181976000 186129800 190378415 195624200 199115600 200089535 203660630 214049270 217488625 221370250 222708352 232662250 244530250 248894500 278385440 283353920 297807680 304605464 312998720 318584960 320143256 323704000 325857008 340216000 342478832 346288000 347981800 354192400 363952000 372259600 380756830 391248400 398231200 400179070 407321260 428098540 434977250 442740500 465324500 468419449 489060500 497789000 509151575 535123175 556770880 566707840 595615360 609210928 625997440 640286512 647408000 651714016 680432000 684957664 695963600 708384800 744519200 761513660 782496800 796462400 800358140 814642520 856197080 869954500 875740709 885481000 920411861 930649000 936838898 951892075 978121000 995578000 1000447675 1018303150 1070246350 1113541760 1218421856 1280573024 1303428032 1369915328 1391927200 1416769600 1489038400 1523027320 1564993600 1592924800 1600716280 1629285040 1637254369 1712394160 1739909000 1751481418 1770962000 1840823722 1861298000 1873677796 1903784150 1956242000 1991156000 2000895350 2036606300 2140492700 2342097245 2436843712 2545757875 2561146048 2606856064 2675615875 2739830656 2783854400 2833539200 2978076800 3046054640 3129987200 3201432560 3258570080 3274508738 3424788320 3479818000 3502962836 3541924000 3681647444 3722596000 3747355592 3807568300 3912484000 3982312000 4001790700 4073212600 4280985400 4378703545 4602059305 4684194490 4759460375 4873687424 5002238375 5091515750 5122292096 5351231750 5567708800 6092109280 6402865120 6517140160 6549017476 6849576640 6959636000 7005925672 7083848000 7363294888 7445192000 7494711184 7615136600 7824968000 7964624000 8003581400 8146425200 8186271845 8561970800 8757407090 9204118610 9368388980 9518920750 10004476750 10183031500 10702463500 11710486225 12184218560 12805730240 13034280320 13098034952 13699153280 13919272000 14011851344 14167696000 14726589776 14890384000 14989422368 15230273200 15649936000 16007162800 16292850400 16372543690 17123941600 17514814180 18408237220 18736777960 19037841500 20008953500 20142036307 20366063000 21404927000 21893517725 23010296525 23420972450 24368437120 25611460480 26196069904 27838544000 28023702688 29453179552 29978844736 30460546400 32014325600 32585700800 32745087380 34247883200 35029628360 36816474440 37473555920 37656850487 38075683000 40017907000 40284072614 40732126000 40931359225 42809854000 43787035450 46020593050 46841944900 52392139808 56047405376 58552431125 58906359104 59957689472 60921092800 64028651200 65171401600 65490174760 68495766400 70059256720 73632948880 74947111840 75313700974 76151366000 80035814000 80568145228 81464252000 81862718450 85619708000 87574070900 92041186100 93683889800 100710181535 104784279616 109467588625 112094810752 115051482625 117104862250 117812718208 121842185600 128057302400 130980349520 140118513440 147265897760 149894223680 150627401948 152302732000 160071628000 161136290456 162928504000 163725436900 171239416000 175148141800 184082372200 187367779600 188284252435 201420363070 204656796125 209568559232 218935177250 230102965250 234209724500 261960699040 280237026880 294531795520 299788447360 301254803896 304605464000 320143256000 322272580912 325857008000 327450873800 342478832000 350296283600 368164744400 374735559200 376568504870 402840726140 409313592250 437870354500 460205930500 468419449000 503550907675 523921398080 560474053760 589063591040 602509607792 609210928000 640286512000 644545161824 654901747600 700592567200 736329488800 749471118400 753137009740 805681452280 818627184500 866107561201 875740709000 920411861000 936838898000 941421262175 1007101815350 1047842796160 1205019215584 1289090323648 1309803495200 1401185134400 1472658977600 1498942236800 1506274019480 1611362904560 1637254369000 1732215122402 1751481418000 1840823722000 1873677796000 1882842524350 2014203630700 2410038431168 2517754538375 2578180647296 2619606990400 2802370268800 2945317955200 3012548038960 3222725809120 3274508738000 3464430244804 3502962836000 3681647444000 3747355592000 3765685048700 4028407261400 4330537806005 4707106310875 4820076862336 5035509076750 5239213980800 6025096077920 6445451618240 6549017476000 6928860489608 7005925672000 7363294888000 7494711184000 7531370097400 8056814522800 8661075612010 9414212621750 10071018153500 12050192155840 12890903236480 13098034952000 13857720979216 14011851344000 14726589776000 15062740194800 16113629045600 17322151224020 18828425243500 20142036307000 21652689030025 24100384311680 26196069904000 27715441958432 30125480389600 32227258091200 34644302448040 37656850487000 40284072614000 43305378060050 55430883916864 60250960779200 64454516182400 69288604896080 75313700974000 80568145228000 86610756120100 108263445150125 110861767833728 120501921558400 138577209792160 150627401948000 161136290456000 173221512240200 216526890300250 277154419584320 301254803896000 322272580912000 346443024480400 433053780600500 554308839168640 602509607792000 692886048960800 866107561201000 1385772097921600 1732215122402000 2771544195843200 3464430244804000 6928860489608000 13857720979216000
• Sum of all divisors σ(n): 36913186780093260
• Sum of proper divisors (its aliquot sum) s(n): 23055465800877260
• 13857720979216000 is an abundant number, because the sum of its proper divisors (23055465800877260) is greater than itself. Its abundance is 9197744821661260

Bases of 13857720979216000

• Binary: 110001001110111000011000011000010111001101011010000000₂
• Hexadecimal: 0x313B86185CD680
• Base-36: 3SG5H4R9T34

Squares and roots of 13857720979216000

• 13857720979216000 squared (13857720979216000²) is 192036430737803253903974656000000
• 13857720979216000 cubed (13857720979216000³) is 2661187275009016469038938744778766749696000000000
• The square root of 13857720979216000 is 117718821.6863216823
• The cube root of 13857720979216000 is 240194.9860978373

Scales and comparisons

• 13,857,720,979,216,000 seconds is equal to 440,632,662 years, 20 weeks, 3 days, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 13,857,720,979,216,000 would take you about one billion, three hundred twenty-one million, eight hundred ninety-seven thousand, nine hundred eighty-seven 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 13857720979216000 cubic inches would be around 20016.2 feet tall.

Recreational maths with 13857720979216000

• 13857720979216000 backwards is 00061297902775831
• The number of decimal digits it has is: 17
• The sum of 13857720979216000's digits is 67
• More coming soon!