13314397350199680

Names of 13314397350199680

• Cardinal: 13314397350199680 can be written as Thirteen quadrillion, three hundred fourteen trillion, three hundred ninety-seven billion, three hundred fifty million, one hundred ninety-nine thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.331439735019968 × 10¹⁶

Factors of 13314397350199680

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 330218188266

Divisors of 13314397350199680

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 280 288 315 320 336 360 384 420 448 480 504 560 576 630 640 672 720 840 896 960 1008 1120 1152 1260 1344 1440 1680 1920 2016 2240 2520 2688 2880 3360 4032 4480 5040 5760 6720 8064 10080 13440 20160 40320 330218188249 660436376498 990654564747 1320872752996 1651090941245 1981309129494 2311527317743 2641745505992 2971963694241 3302181882490 3962618258988 4623054635486 4953272823735 5283491011984 5943927388482 6604363764980 6934581953229 7925236517976 9246109270972 9906545647470 10566982023968 11557636588715 11887854776964 13208727529960 13869163906458 14859818471205 15850473035952 18492218541944 19813091294940 20803745859687 21133964047936 23115273177430 23775709553928 26417455059920 27738327812916 29719636942410 31700946071904 34672909766145 36984437083888 39626182589880 41607491719374 42267928095872 46230546354860 47551419107856 52834910119840 55476655625832 59439273884820 63401892143808 69345819532290 73968874167776 79252365179760 83214983438748 92461092709720 95102838215712 104018729298435 105669820239680 110953311251664 118878547769640 126803784287616 138691639064580 147937748335552 158504730359520 166429966877496 184922185419440 190205676431424 208037458596870 211339640479360 221906622503328 237757095539280 277383278129160 295875496671104 317009460719040 332859933754992 369844370838880 380411352862848 416074917193740 443813245006656 475514191078560 554766556258320 634018921438080 665719867509984 739688741677760 832149834387480 887626490013312 951028382157120 1109533112516640 1331439735019968 1479377483355520 1664299668774960 1902056764314240 2219066225033280 2662879470039936 3328599337549920 4438132450066560 6657198675099840 13314397350199680
• Sum of all divisors σ(n): 52544318114340000
• Sum of proper divisors (its aliquot sum) s(n): 39229920764140320
• 13314397350199680 is an abundant number, because the sum of its proper divisors (39229920764140320) is greater than itself. Its abundance is 25915523413940640

Bases of 13314397350199680

• Binary: 101111010011010101111110110100011101010000000110000000₂
• Hexadecimal: 0x2F4D5FB4750180
• Base-36: 3N3K5PAR8G0

Squares and roots of 13314397350199680

• 13314397350199680 squared (13314397350199680²) is 177273176799004260225735872102400
• 13314397350199680 cubed (13314397350199680³) is 2360285515434141712931473268002008427581407232000
• The square root of 13314397350199680 is 115388029.4926630595
• The cube root of 13314397350199680 is 237013.9116629817

Scales and comparisons

• 13,314,397,350,199,680 seconds is equal to 423,356,651 years, 31 weeks, 1 day, 20 hours, 48 minutes.
• To count from 1 to 13,314,397,350,199,680 would take you about one billion, two hundred seventy million, sixty-nine thousand, nine hundred fifty-four 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 13314397350199680 cubic inches would be around 19751.2 feet tall.

Recreational maths with 13314397350199680

• 13314397350199680 backwards is 08699105379341331
• 13314397350199680 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13314397350199680's digits is 72
• More coming soon!