13144509131600
13,144,509,131,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 13144509131600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 360 divisors.
13144509131600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 13144509131600:
24 × 52 × 72 × 11 × 31 × 1966681
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 31 × 1966681)See below for interesting mathematical facts about the number 13144509131600 from the Numbermatics database.
Names of 13144509131600
- Cardinal: 13144509131600 can be written as Thirteen trillion, one hundred forty-four billion, five hundred nine million, one hundred thirty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.31445091316 × 1013
Factors of 13144509131600
Divisors of 13144509131600
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 35 40 44 49 50 55 56 62 70 77 80 88 98 100 110 112 124 140 154 155 175 176 196 200 217 220 245 248 275 280 308 310 341 350 385 392 400 434 440 490 496 539 550 560 616 620 682 700 770 775 784 868 880 980 1078 1085 1100 1225 1232 1240 1364 1400 1519 1540 1550 1705 1736 1925 1960 2156 2170 2200 2387 2450 2480 2695 2728 2800 3038 3080 3100 3410 3472 3850 3920 4312 4340 4400 4774 4900 5390 5425 5456 6076 6160 6200 6820 7595 7700 8525 8624 8680 9548 9800 10780 10850 11935 12152 12400 13475 13640 15190 15400 16709 17050 17360 19096 19600 21560 21700 23870 24304 26950 27280 30380 30800 33418 34100 37975 38192 43120 43400 47740 53900 59675 60760 66836 68200 75950 83545 86800 95480 107800 119350 121520 133672 136400 151900 167090 190960 215600 238700 267344 303800 334180 417725 477400 607600 668360 835450 954800 1336720 1670900 1966681 3341800 3933362 6683600 7866724 9833405 13766767 15733448 19666810 21633491 27533534 31466896 39333620 43266982 49167025 55067068 60967111 68833835 78667240 86533964 96367369 98334050 108167455 110134136 121934222 137667670 151434437 157334480 173067928 192734738 196668100 216334910 220268272 243868444 275335340 302868874 304835555 344169175 346135856 385469476 393336200 426769777 432669820 481836845 487736888 540837275 550670680 605737748 609671110 670638221 688338350 757172185 770938952 786672400 853539554 865339640 963673690 975473776 1060041059 1081674550 1101341360 1211475496 1219342220 1341276442 1376676700 1514344370 1524177775 1541877904 1707079108 1730679280 1927347380 2120082118 2133848885 2163349100 2409184225 2422950992 2438684440 2682552884 2753353400 2987388439 3028688740 3048355550 3353191105 3414158216 3785860925 3854694760 4240164236 4267697770 4326698200 4694467547 4818368450 4877368880 5300205295 5365105768 5506706800 5974776878 6057377480 6096711100 6706382210 6828316432 7571721850 7709389520 8480328472 8535395540 8653396400 9388935094 9636736900 10600410590 10669244425 10730211536 11949553756 12114754960 12193422200 13412764420 14936942195 15143443700 16765955525 16960656944 17070791080 18777870188 19273473800 21200821180 21338488850 23472337735 23899107512 24386844400 26501026475 26825528840 29873884390 30286887400 32861272829 33531911050 34141582160 37555740376 38546947600 42401642360 42676977700 46944675470 47798215024 53002052950 53651057680 59747768780 60573774800 65722545658 67063822100 74684710975 75111480752 84803284720 85353955400 93889350940 106004105900 117361688675 119495537560 131445091316 134127644200 149369421950 164306364145 170707910800 187778701880 212008211800 234723377350 238991075120 262890182632 268255288400 298738843900 328612728290 375557403760 424016423600 469446754700 525780365264 597477687800 657225456580 821531820725 938893509400 1194955375600 1314450913160 1643063641450 1877787018800 2628901826320 3286127282900 6572254565800 13144509131600
- Sum of all divisors σ(n): 41367912926976
- Sum of proper divisors (its aliquot sum) s(n): 28223403795376
- 13144509131600 is an abundant number, because the sum of its proper divisors (28223403795376) is greater than itself. Its abundance is 15078894663776
Bases of 13144509131600
- Binary: 101111110100011100011100110000101011010100002
- Hexadecimal: 0xBF471CC2B50
- Base-36: 4NQI5CT3K
Squares and roots of 13144509131600
- 13144509131600 squared (131445091316002) is 172778120310715786118560000
- 13144509131600 cubed (131445091316003) is 2271083580164887079967684440242496000000
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The
square root of 13144509131600 is 3625535.7027065669 -
The
cube root of 13144509131600 is 23600.1514950057
Scales and comparisons
How big is 13144509131600?- 13,144,509,131,600 seconds is equal to 417,954 years, 38 weeks, 8 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,144,509,131,600 would take you about one million, forty-four thousand, eight hundred eighty-six 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 13144509131600 cubic inches would be around 1966.7 feet tall.
Recreational maths with 13144509131600
- 13144509131600 backwards is 00613190544131
- The number of decimal digits it has is: 14
- The sum of 13144509131600's digits is 38
- More coming soon!
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