13521005363424000
13,521,005,363,424,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13521005363424000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13521005363424000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13521005363424000:
28 × 3 × 53 × 132 × 17 × 29 × 197 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 29 × 197 × 8581)See below for interesting mathematical facts about the number 13521005363424000 from the Numbermatics database.
Names of 13521005363424000
- Cardinal: 13521005363424000 can be written as Thirteen quadrillion, five hundred twenty-one trillion, five billion, three hundred sixty-three million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3521005363424 × 1016
Factors of 13521005363424000
Divisors of 13521005363424000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 29 30 32 34 39 40 48 50 51 52 58 60 64 65 68 75 78 80 85 87 96 100 102 104 116 120 125 128 130 136 145 150 156 160 169 170 174 192 195 197 200 204 208 221 232 240 250 255 256 260 272 290 300 312 320 325 338 340 348 375 377 384 390 394 400 408 416 425 435 442 464 480 493 500 507 510 520 544 580 591 600 624 640 650 663 676 680 696 725 750 754 768 780 788 800 816 832 845 850 870 884 928 960 975 985 986 1000 1014 1020 1040 1088 1105 1131 1160 1182 1200 1248 1275 1280 1300 1326 1352 1360 1392 1450 1479 1500 1508 1560 1576 1600 1625 1632 1664 1690 1700 1740 1768 1856 1885 1920 1950 1970 1972 2000 2028 2040 2080 2125 2175 2176 2210 2262 2320 2364 2400 2465 2496 2535 2550 2561 2600 2652 2704 2720 2784 2873 2900 2955 2958 3000 3016 3120 3152 3200 3250 3264 3315 3328 3349 3380 3400 3480 3536 3625 3712 3770 3840 3900 3940 3944 4000 4056 4080 4160 4225 4250 4350 4352 4420 4524 4640 4728 4800 4875 4901 4925 4930 4992 5070 5100 5122 5200 5304 5408 5440 5525 5568 5655 5713 5746 5800 5910 5916 6000 6032 6240 6304 6375 6400 6409 6500 6528 6630 6698 6760 6800 6960 7072 7250 7395 7424 7540 7683 7800 7880 7888 8000 8112 8160 8320 8450 8500 8581 8619 8700 8840 9048 9280 9425 9456 9600 9750 9802 9850 9860 9984 10047 10140 10200 10244 10400 10608 10816 10875 10880 11050 11136 11310 11426 11492 11600 11820 11832 12000 12064 12325 12480 12608 12675 12750 12805 12818 13000 13056 13260 13396 13520 13600 13920 14144 14365 14500 14703 14775 14790 15080 15366 15600 15760 15776 16000 16224 16320 16575 16640 16745 16900 17000 17139 17162 17238 17400 17680 18096 18560 18850 18912 19200 19227 19500 19604 19700 19720 20094 20280 20400 20488 20800 21125 21216 21632 21750 21760 22100 22272 22620 22852 22984 23200 23640 23664 24000 24128 24505 24625 24650 24960 25216 25350 25500 25610 25636 25743 26000 26520 26792 27040 27200 27625 27840 28275 28288 28565 28730 29000 29406 29550 29580 30160 30732 31200 31520 31552 32000 32045 32448 32640 33150 33293 33490 33800 34000 34278 34324 34476 34800 35360 36192 36975 37120 37700 37824 38415 38454 39000 39208 39400 39440 40188 40560 40800 40976 41600 42250 42432 42905 43095 43264 43500 43537 44200 45240 45704 45968 46400 47125 47280 47328 48000 48256 49010 49250 49300 49920 50235 50432 50700 51000 51220 51272 51486 52000 53040 53584 54080 54400 55250 55680 56550 56576 57130 57460 58000 58812 59100 59160 60320 61464 61625 62400 63040 63104 63375 64025 64090 64896 65280 66300 66586 66980 67600 68000 68556 68648 68952 69600 70720 71825 72384 73515 73875 73950 74269 75400 75648 76830 76908 78000 78416 78800 78880 80376 81120 81600 81952 82875 83200 83317 83725 84500 84864 85695 85810 86190 87000 87074 88400 90480 91408 91936 92800 94250 94560 94656 96000 96135 96512 97121 98020 98500 98600 99879 100470 101400 102000 102440 102544 102972 104000 106080 107168 108160 108800 110500 111360 111553 113100 114260 114920 116000 117624 118200 118320 120640 122525 122928 123250 124800 126080 126208 126750 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43336555652000 45070017878080 46624156425600 49709578542000 52003866782400 52816427200875 53023550444800 54084021453696 56337522347600 58280195532000 61181019744000 65004833478000 66279438056000 67605026817120 68634544992000 69338489043200 70421902934500 77706927376000 79535325667200 80005948896000 84506283521400 86673111304000 90140035756160 93248312851200 99419157084000 104007733564800 105632854401750 108168042907392 112675044695200 116560391064000 130009666956000 132558876112000 135210053634240 140843805869000 155413854752000 159070651334400 169012567042800 173346222608000 180280071512320 198838314168000 208015467129600 211265708803500 225350089390400 233120782128000 260019333912000 265117752224000 270420107268480 281687611738000 338025134085600 346692445216000 397676628336000 422531417607000 450700178780800 466241564256000 520038667824000 540840214536960 563375223476000 676050268171200 795353256672000 845062835214000 901400357561600 1040077335648000 1126750446952000 1352100536342400 1690125670428000 2253500893904000 2704201072684800 3380251340856000 4507001787808000 6760502681712000 13521005363424000
- Sum of all divisors σ(n): 53543165068673280
- Sum of proper divisors (its aliquot sum) s(n): 40022159705249280
- 13521005363424000 is an abundant number, because the sum of its proper divisors (40022159705249280) is greater than itself. Its abundance is 26501154341825280
Bases of 13521005363424000
- Binary: 1100000000100101001000011000011011000101101011000000002
- Hexadecimal: 0x30094861B16B00
- Base-36: 3P4SO43DATC
Squares and roots of 13521005363424000
- 13521005363424000 squared (135210053634240002) is 182817586037740574317003776000000
- 13521005363424000 cubed (135210053634240003) is 2471877561344518882222910120897660289024000000000
-
The
square root of 13521005363424000 is 116279857.9437728759 -
The
cube root of 13521005363424000 is 238233.5898584367
Scales and comparisons
How big is 13521005363424000?- 13,521,005,363,424,000 seconds is equal to 429,926,147 years, 17 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 13,521,005,363,424,000 would take you about one billion, two hundred eighty-nine million, seven hundred seventy-eight thousand, four hundred forty-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 13521005363424000 cubic inches would be around 19852.8 feet tall.
Recreational maths with 13521005363424000
- 13521005363424000 backwards is 00042436350012531
- 13521005363424000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13521005363424000's digits is 39
- More coming soon!
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MLA style:
"Number 13521005363424000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 13521005363424000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13521005363424000/
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The information we have on file for 13521005363424000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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