13976800853804640

Names of 13976800853804640

• Cardinal: 13976800853804640 can be written as Thirteen quadrillion, nine hundred seventy-six trillion, eight hundred billion, eight hundred fifty-three million, eight hundred four thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.397680085380464 × 10¹⁶

Factors of 13976800853804640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 301648935

Divisors of 13976800853804640

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1399 1440 1656 1840 2070 2208 2760 2798 3312 3680 4140 4197 5520 5596 6624 6995 8280 8394 11040 11192 12591 13990 16560 16788 20985 22384 25182 27980 32177 33120 33576 41970 44768 50364 55960 62955 64354 67152 83940 96531 100728 111920 125910 128708 134304 160885 167880 193062 201456 223840 251820 257416 289593 321770 335760 386124 402912 482655 503640 514832 579186 643540 671520 772248 965310 1007280 1029664 1158372 1287080 1447965 1544496 1930620 2014560 2316744 2574160 2895930 3088992 3861240 4633488 5148320 5791860 7722480 9266976 11583720 15444960 23167440 46334880 301647503 603295006 904942509 1206590012 1508237515 1809885018 2413180024 2714827527 3016475030 3619770036 4524712545 4826360048 5429655054 6032950060 6937892569 7239540072 9049425090 9652720096 10859310108 12065900120 13574137635 13875785138 14479080144 18098850180 20813677707 21718620216 24131800240 27148275270 27751570276 28958160288 34689462845 36197700360 41627355414 43437240432 48263600480 54296550540 55503140552 62441033121 69378925690 72395400720 83254710828 86874480864 104068388535 108593101080 111006281104 124882066242 138757851380 144790801440 166509421656 208136777070 217186202160 222012562208 249764132484 277515702760 312205165605 333018843312 416273554140 422004856697 434372404320 499528264968 555031405520 624410331210 666037686624 832547108280 844009713394 999056529936 1110062811040 1248820662420 1266014570091 1665094216560 1688019426788 1998113059872 2110024283485 2497641324840 2532029140182 3330188433120 3376038853576 3798043710273 4220048566970 4995282649680 5064058280364 6330072850455 6752077707152 7596087420546 8440097133940 9706111704031 9990565299360 10128116560728 12660145700910 13504155414304 15192174841092 16880194267880 18990218551365 19412223408062 20256233121456 25320291401820 29118335112093 30384349682184 33760388535760 37980437102730 38824446816124 40512466242912 48530558520155 50640582803640 58236670224186 60768699364368 67520777071520 75960874205460 77648893632248 87355005336279 97061117040310 101281165607280 116473340448372 121537398728736 145591675560465 151921748410920 155297787264496 174710010672558 194122234080620 202562331214560 232946680896744 291183351120930 303843496821840 310595574528992 349420021345116 388244468161240 436775026681395 465893361793488 582366702241860 607686993643680 698840042690232 776488936322480 873550053362790 931786723586976 1164733404483720 1397680085380464 1552977872644960 1747100106725580 2329466808967440 2795360170760928 3494200213451160 4658933617934880 6988400426902320 13976800853804640
• Sum of all divisors σ(n): 49805140044441600
• Sum of proper divisors (its aliquot sum) s(n): 35828339190636960
• 13976800853804640 is an abundant number, because the sum of its proper divisors (35828339190636960) is greater than itself. Its abundance is 21851538336832320

Bases of 13976800853804640

• Binary: 110001101001111101001110001001111111001100011001100000₂
• Hexadecimal: 0x31A7D389FCC660
• Base-36: 3TMD1O61UG0

Squares and roots of 13976800853804640

• 13976800853804640 squared (13976800853804640²) is 195350962106914113686363285529600
• 13976800853804640 cubed (13976800853804640³) is 2730381493967475059519008716094591190817337344000
• The square root of 13976800853804640 is 118223520.7300334127
• The cube root of 13976800853804640 is 240881.0260473433

Scales and comparisons

• 13,976,800,853,804,640 seconds is equal to 444,419,034 years, 3 weeks, 3 days, 12 hours, 24 minutes.
• To count from 1 to 13,976,800,853,804,640 would take you about one billion, three hundred thirty-three million, two hundred fifty-seven thousand, one hundred 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 13976800853804640 cubic inches would be around 20073.4 feet tall.

Recreational maths with 13976800853804640

• 13976800853804640 backwards is 04640835800867931
• 13976800853804640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13976800853804640's digits is 72
• More coming soon!