14971304448128000

Names of 14971304448128000

• Cardinal: 14971304448128000 can be written as Fourteen quadrillion, nine hundred seventy-one trillion, three hundred four billion, four hundred forty-eight million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.4971304448128 × 10¹⁶

Factors of 14971304448128000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 48871

Divisors of 14971304448128000

• Number of divisors d(n): 396
• 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 98 100 112 125 128 140 160 175 196 200 224 245 250 256 280 320 350 392 400 448 490 500 512 560 640 700 784 800 875 896 980 1000 1024 1120 1225 1280 1400 1568 1600 1750 1792 1960 2000 2240 2450 2560 2800 3136 3200 3500 3584 3920 4000 4480 4900 5120 5600 6125 6272 6400 7000 7168 7840 8000 8960 9800 11200 12250 12544 12800 14000 15680 16000 17920 19600 22400 24500 25088 25600 28000 31360 32000 35840 39200 44800 48857 49000 50176 56000 62720 64000 78400 89600 97714 98000 112000 125440 128000 156800 179200 195428 196000 224000 244285 250880 313600 341999 390856 392000 448000 488570 627200 683998 781712 784000 896000 977140 1221425 1254400 1367996 1563424 1568000 1709995 1954280 2393993 2442850 2735992 3126848 3136000 3419990 3908560 4787986 4885700 5471984 6107125 6253696 6272000 6839980 7817120 8549975 9575972 9771400 10943968 11969965 12214250 12507392 13679960 15634240 17099950 19151944 19542800 21887936 23939930 24428500 25014784 27359920 31268480 34199900 38303888 39085600 42749875 43775872 47879860 48857000 50029568 54719840 59849825 62536960 68399800 76607776 78171200 85499750 87551744 95759720 97714000 109439680 119699650 125073920 136799600 153215552 156342400 170999500 175103488 191519440 195428000 218879360 239399300 250147840 273599200 299249125 306431104 312684800 341999000 350206976 383038880 390856000 437758720 478798600 547198400 598498250 612862208 625369600 683998000 766077760 781712000 875517440 957597200 1094396800 1196996500 1225724416 1250739200 1367996000 1532155520 1563424000 1751034880 1915194400 2188793600 2387006449 2393993000 2451448832 2735992000 3064311040 3126848000 3830388800 4377587200 4774012898 4787986000 5471984000 6128622080 6253696000 7660777600 8755174400 9548025796 9575972000 10943968000 11935032245 12257244160 15321555200 16709045143 19096051592 19151944000 21887936000 23870064490 30643110400 33418090286 38192103184 38303888000 43775872000 47740128980 59675161225 61286220800 66836180572 76384206368 76607776000 83545225715 95480257960 116963316001 119350322450 133672361144 152768412736 153215552000 167090451430 190960515920 233926632002 238700644900 267344722288 298375806125 305536825472 306431104000 334180902860 381921031840 417726128575 467853264004 477401289800 534689444576 584816580005 596751612250 611073650944 668361805720 763842063680 835452257150 935706528008 954802579600 1069378889152 1169633160010 1193503224500 1222147301888 1336723611440 1527684127360 1670904514300 1871413056016 1909605159200 2088630642875 2138757778304 2339266320020 2387006449000 2444294603776 2673447222880 2924082900025 3055368254720 3341809028600 3742826112032 3819210318400 4177261285750 4277515556608 4678532640040 4774012898000 5346894445760 5848165800050 6110736509440 6683618057200 7485652224064 7638420636800 8354522571500 8555031113216 9357065280080 9548025796000 10693788891520 11696331600100 12221473018880 13367236114400 14620414500125 14971304448128 15276841273600 16709045143000 17110062226432 18714130560160 19096051592000 21387577783040 23392663200200 26734472228800 29240829000250 29942608896256 30553682547200 33418090286000 37428261120320 38192103184000 42775155566080 46785326400400 53468944457600 58481658000500 59885217792512 61107365094400 66836180572000 74856522240640 76384206368000 85550311132160 93570652800800 106937888915200 116963316001000 119770435585024 133672361144000 149713044481280 152768412736000 187141305601600 213875777830400 233926632002000 267344722288000 299426088962560 305536825472000 374282611203200 427751555660800 467853264004000 534689444576000 598852177925120 748565222406400 935706528008000 1069378889152000 1497130444812800 1871413056016000 2138757778304000 2994260889625600 3742826112032000 7485652224064000 14971304448128000
• Sum of all divisors σ(n): 43448999281810668
• Sum of proper divisors (its aliquot sum) s(n): 28477694833682668
• 14971304448128000 is an abundant number, because the sum of its proper divisors (28477694833682668) is greater than itself. Its abundance is 13506390385554668

Bases of 14971304448128000

• Binary: 110101001100000101001001110011011101000111010000000000₂
• Hexadecimal: 0x35305273747400
• Base-36: 43EVUBCSF7K

Squares and roots of 14971304448128000

• 14971304448128000 squared (14971304448128000²) is 224139956878537238642704384000000
• 14971304448128000 cubed (14971304448128000³) is 3355667533418862671105610393474566193152000000000
• The square root of 14971304448128000 is 122357281.9579120923
• The cube root of 14971304448128000 is 246463.8418938655

Scales and comparisons

• 14,971,304,448,128,000 seconds is equal to 476,041,172 years, 8 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 14,971,304,448,128,000 would take you about one billion, four hundred twenty-eight million, one hundred twenty-three thousand, five hundred sixteen 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 14971304448128000 cubic inches would be around 20538.7 feet tall.

Recreational maths with 14971304448128000

• 14971304448128000 backwards is 00082184440317941
• 14971304448128000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 14971304448128000's digits is 56
• More coming soon!