13364936402862979200
13,364,936,402,862,979,200 is an even composite number composed of five prime numbers multiplied together.
13364936402862979200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13364936402862979200:
27 × 3 × 52 × 72 × 28411854597923
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 28411854597923)See below for interesting mathematical facts about the number 13364936402862979200 from the Numbermatics database.
Names of 13364936402862979200
- Cardinal: 13364936402862979200 can be written as Thirteen quintillion, three hundred sixty-four quadrillion, nine hundred thirty-six trillion, four hundred two billion, eight hundred sixty-two million, nine hundred seventy-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.33649364028629792 × 1019
Factors of 13364936402862979200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 28411854597940
Divisors of 13364936402862979200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 784 800 840 896 960 980 1050 1120 1176 1200 1225 1344 1400 1470 1568 1600 1680 1920 1960 2100 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3920 4200 4480 4704 4800 4900 5600 5880 6272 6720 7350 7840 8400 9408 9600 9800 11200 11760 13440 14700 15680 16800 18816 19600 22400 23520 29400 31360 33600 39200 47040 58800 67200 78400 94080 117600 156800 235200 470400 28411854597923 56823709195846 85235563793769 113647418391692 142059272989615 170471127587538 198882982185461 227294836783384 284118545979230 340942255175076 397765964370922 426177818968845 454589673566768 568237091958460 596648946556383 681884510350152 710296364948075 795531928741844 852355637937690 909179347133536 994414910927305 1136474183916920 1193297893112766 1363769020700304 1392180875298227 1420592729896150 1591063857483688 1704711275875380 1818358694267072 1988829821854610 2130889094844225 2272948367833840 2386595786225532 2727538041400608 2784361750596454 2841185459792300 2983244732781915 3182127714967376 3409422551750760 3636717388534144 3977659643709220 4176542625894681 4261778189688450 4545896735667680 4773191572451064 4972074554636525 5455076082801216 5568723501192908 5682370919584600 5966489465563830 6364255429934752 6818845103501520 6960904376491135 7955319287418440 8353085251789362 8523556379376900 9091793471335360 9546383144902128 9944149109273050 10910152165602432 11137447002385816 11364741839169200 11932978931127660 12728510859869504 13637690207003040 13921808752982270 14916223663909575 15910638574836880 16706170503578724 17047112758753800 18183586942670720 19092766289804256 19888298218546100 20882713129473405 22274894004771632 22729483678338400 23865957862255320 25457021719739008 27275380414006080 27843617505964540 29832447327819150 31821277149673760 33412341007157448 34094225517507600 34804521882455675 38185532579608512 39776596437092200 41765426258946810 44549788009543264 45458967356676800 47731915724510640 54550760828012160 55687235011929080 59664894655638300 63642554299347520 66824682014314896 68188451035015200 69609043764911350 76371065159217024 79553192874184400 83530852517893620 89099576019086528 90917934713353600 95463831449021280 104413565647367025 111374470023858160 119329789311276600 127285108598695040 133649364028629792 136376902070030400 139218087529822700 159106385748368800 167061705035787240 178199152038173056 190927662898042560 208827131294734050 222748940047716320 238659578622553200 267298728057259584 272753804140060800 278436175059645400 318212771496737600 334123410071574480 381855325796085120 417654262589468100 445497880095432640 477319157245106400 534597456114519168 556872350119290800 636425542993475200 668246820143148960 835308525178936200 890995760190865280 954638314490212800 1113744700238581600 1336493640286297920 1670617050357872400 1909276628980425600 2227489400477163200 2672987280572595840 3341234100715744800 4454978800954326400 6682468201431489600 13364936402862979200
- Sum of all divisors σ(n): 51207822016022342160
- Sum of proper divisors (its aliquot sum) s(n): 37842885613159362960
- 13364936402862979200 is an abundant number, because the sum of its proper divisors (37842885613159362960) is greater than itself. Its abundance is 24477949210296383760
Bases of 13364936402862979200
- Binary: 10111001011110011100101011011001000100100101010110111000100000002
- Hexadecimal: 0xB979CAD91255B880
- Base-36: 2TJGIJZ0OKMTC
Squares and roots of 13364936402862979200
- 13364936402862979200 squared (133649364028629792002) is 178621525052572029853242409899632640000
- 13364936402862979200 cubed (133649364028629792003) is 2387265322510021546305278770062932689064618335961088000000
-
The
square root of 13364936402862979200 is 3655808584.0020370519 -
The
cube root of 13364936402862979200 is 2373134.2038540033
Scales and comparisons
How big is 13364936402862979200?- 13,364,936,402,862,979,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,364,936,402,862,979,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13364936402862979200 cubic inches would be around 197761.2 feet tall.
Recreational maths with 13364936402862979200
- 13364936402862979200 backwards is 00297926820463946331
- 13364936402862979200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13364936402862979200's digits is 84
- More coming soon!
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