13431827904924800

Names of 13431827904924800

• Cardinal: 13431827904924800 can be written as Thirteen quadrillion, four hundred thirty-one trillion, eight hundred twenty-seven billion, nine hundred four million, nine hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.34318279049248 × 10¹⁶

Factors of 13431827904924800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 555

Divisors of 13431827904924800

• Number of divisors d(n): 360
• 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 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 541 560 640 700 784 800 896 980 1082 1120 1225 1400 1568 1600 1960 2164 2240 2450 2705 2800 3136 3200 3787 3920 4328 4480 4900 5410 5600 6272 7574 7840 8656 9800 10820 11200 13525 15148 15680 17312 18935 19600 21640 22400 26509 27050 30296 31360 34624 37870 39200 43280 53018 54100 60592 69248 75740 78400 86560 94675 106036 108200 121184 132545 151480 156800 173120 189350 212072 216400 242368 265090 292681 302960 346240 378700 424144 432800 484736 530180 585362 605920 662725 757400 848288 865600 1060360 1170724 1211840 1325450 1463405 1514800 1696576 1731200 2048767 2120720 2341448 2423680 2650900 2926810 3029600 3393152 4097534 4241440 4682896 5301800 5853620 6059200 7317025 8195068 8482880 9365792 10243835 10603600 11707240 12118400 14341369 14634050 16390136 16965760 18731584 20487670 21207200 23414480 28682738 29268100 32780272 37463168 40975340 42414400 46828960 51219175 57365476 58536200 65560544 71706845 81950680 84828800 93657920 102438350 114730952 117072400 131121088 143413690 158340421 163901360 187315840 204876700 229461904 234144800 262242176 286827380 316680842 327802720 358534225 409753400 458923808 468289600 573654760 633361684 655605440 717068450 791702105 819506800 917847616 936579200 1108382947 1147309520 1266723368 1311210880 1434136900 1583404210 1639013600 1835695232 2216765894 2294619040 2533446736 2868273800 3166808420 3278027200 3958510525 4433531788 4589238080 5066893472 5541914735 5736547600 6333616840 6556054400 7758680629 7917021050 8867063576 9178476160 10133786944 11083829470 11473095200 12667233680 15517361258 15834042100 17734127152 20267573888 22167658940 22946190400 25334467360 27709573675 31034722516 31668084200 35468254304 38793403145 44335317880 45892380800 50668934720 55419147350 62069445032 63336168400 70936508608 77586806290 85662167761 88670635760 101337869440 110838294700 124138890064 126672336800 141873017216 155173612580 171324335522 177341271520 193967015725 221676589400 248277780128 253344673600 310347225160 342648671044 354682543040 387934031450 428310838805 443353178800 496555560256 506689347200 599635174327 620694450320 685297342088 709365086080 775868062900 856621677610 886706357600 993111120512 1199270348654 1241388900640 1370594684176 1551736125800 1713243355220 1773412715200 2141554194025 2398540697308 2482777801280 2741189368352 2998175871635 3103472251600 3426486710440 3546825430400 4197446220289 4283108388050 4797081394616 4965555602560 5482378736704 5996351743270 6206944503200 6852973420880 8394892440578 8566216776100 9594162789232 10964757473408 11992703486540 12413889006400 13705946841760 14990879358175 16789784881156 17132433552200 19188325578464 20987231101445 23985406973080 24827778012800 27411893683520 29981758716350 33579569762312 34264867104400 38376651156928 41974462202890 47970813946160 54823787367040 59963517432700 67159139524624 68529734208800 76753302313856 83948924405780 95941627892320 104936155507225 119927034865400 134318279049248 137059468417600 167897848811560 191883255784640 209872311014450 239854069730800 268636558098496 274118936835200 335795697623120 383766511569280 419744622028900 479708139461600 537273116196992 671591395246240 839489244057800 959416278923200 1343182790492480 1678978488115600 1918832557846400 2686365580984960 3357956976231200 6715913952462400 13431827904924800
• Sum of all divisors σ(n): 38669565801071925
• Sum of proper divisors (its aliquot sum) s(n): 25237737896147125
• 13431827904924800 is an abundant number, because the sum of its proper divisors (25237737896147125) is greater than itself. Its abundance is 11805909991222325

Bases of 13431827904924800

• Binary: 101111101110000010110100100010111101010000110010000000₂
• Hexadecimal: 0x2FB82D22F50C80
• Base-36: 3O96OJZ2MBK

Squares and roots of 13431827904924800

• 13431827904924800 squared (13431827904924800²) is 180414000867516542108093655040000
• 13431827904924800 cubed (13431827904924800³) is 2423289811291435765471362638153187248340992000000
• The square root of 13431827904924800 is 115895763.1016975529
• The cube root of 13431827904924800 is 237708.6795552395

Scales and comparisons

• 13,431,827,904,924,800 seconds is equal to 427,090,580 years, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 13,431,827,904,924,800 would take you about one billion, two hundred eighty-one million, two hundred seventy-one thousand, seven hundred forty 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 13431827904924800 cubic inches would be around 19809.1 feet tall.

Recreational maths with 13431827904924800

• 13431827904924800 backwards is 00842940972813431
• The number of decimal digits it has is: 17
• The sum of 13431827904924800's digits is 65
• More coming soon!