131312821319680
131,312,821,319,680 is an even composite number composed of six prime numbers multiplied together.
131312821319680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 131312821319680:
211 × 5 × 74 × 11 × 134 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 7 × 11 × 13 × 13 × 13 × 13 × 17)See below for interesting mathematical facts about the number 131312821319680 from the Numbermatics database.
Names of 131312821319680
- Cardinal: 131312821319680 can be written as One hundred thirty-one trillion, three hundred twelve billion, eight hundred twenty-one million, three hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3131282131968 × 1014
Factors of 131312821319680
Divisors of 131312821319680
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 26 28 32 34 35 40 44 49 52 55 56 64 65 68 70 77 80 85 88 91 98 104 110 112 119 128 130 136 140 143 154 160 169 170 176 182 187 196 208 220 221 224 238 245 256 260 272 280 286 308 320 338 340 343 352 364 374 385 392 416 440 442 448 455 476 490 512 520 539 544 560 572 595 616 637 640 676 680 686 704 715 728 748 770 784 832 833 845 880 884 896 910 935 952 980 1001 1024 1040 1078 1088 1105 1120 1144 1183 1190 1232 1274 1280 1309 1352 1360 1372 1408 1430 1456 1496 1540 1547 1568 1664 1666 1690 1715 1760 1768 1792 1820 1859 1870 1904 1960 2002 2048 2080 2156 2176 2197 2210 2240 2288 2366 2380 2401 2431 2464 2548 2560 2618 2695 2704 2720 2744 2816 2860 2873 2912 2992 3080 3094 3136 3185 3328 3332 3380 3430 3520 3536 3584 3640 3718 3740 3773 3808 3920 4004 4160 4165 4312 4352 4394 4420 4459 4480 4576 4732 4760 4802 4862 4928 5005 5096 5120 5236 5390 5408 5440 5488 5632 5720 5746 5824 5831 5915 5984 6160 6188 6272 6370 6545 6656 6664 6760 6860 7007 7040 7072 7168 7280 7436 7480 7546 7616 7735 7840 8008 8281 8320 8330 8624 8704 8788 8840 8918 8960 9152 9163 9295 9464 9520 9604 9724 9856 10010 10192 10240 10472 10780 10816 10829 10880 10976 10985 11264 11440 11492 11648 11662 11830 11968 12005 12155 12320 12376 12544 12740 13013 13090 13312 13328 13520 13720 14014 14080 14144 14336 14365 14560 14872 14960 15092 15232 15379 15470 15680 16016 16562 16640 16660 17017 17248 17408 17576 17680 17836 17920 18304 18326 18590 18865 18928 19040 19208 19448 19712 20020 20111 20384 20944 21560 21632 21658 21760 21952 21970 22295 22528 22880 22984 23296 23324 23660 23936 24010 24167 24310 24640 24752 25088 25480 26026 26180 26411 26624 26656 27040 27440 28028 28160 28288 28561 28730 29120 29155 29744 29920 30184 30464 30758 30940 31213 31360 31603 32032 33124 33280 33320 34034 34496 34816 35035 35152 35360 35672 35840 36608 36652 37180 37349 37730 37856 38080 38416 38896 39424 40040 40222 40768 40817 41405 41888 43120 43264 43316 43520 43904 43940 44590 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1010098625536 1025881416560 1103469086720 1172435904640 1193752921088 1262623281920 1339926748160 1442998036480 1492191151360 1544856721408 1641410266496 1705361315840 1875897447424 1931070901760 2020197251072 2051762833120 2344871809280 2387505842176 2525246563840 2679853496320 2984382302720 3282820532992 3751794894848 3862141803520 4103525666240 4689743618560 5050493127680 5968764605440 6565641065984 7724283607040 8207051332480 9379487237120 10100986255360 11937529210880 13131282131968 16414102664960 18758974474240 26262564263936 32828205329920 65656410659840 131312821319680
- Sum of all divisors σ(n): 459945487375920
- Sum of proper divisors (its aliquot sum) s(n): 328632666056240
- 131312821319680 is an abundant number, because the sum of its proper divisors (328632666056240) is greater than itself. Its abundance is 197319844736560
Bases of 131312821319680
- Binary: 111011101101101101001100001000110111000000000002
- Hexadecimal: 0x776DA611B800
- Base-36: 1AJO9ZF0N4
Squares and roots of 131312821319680
- 131312821319680 squared (1313128213196802) is 17243057042934206336755302400
- 131312821319680 cubed (1313128213196803) is 2264234468483869226960621826586005471232000
-
The
square root of 131312821319680 is 11459180.6565600491 -
The
cube root of 131312821319680 is 50827.9246567323
Scales and comparisons
How big is 131312821319680?- 131,312,821,319,680 seconds is equal to 4,175,341 years, 28 weeks, 19 hours, 54 minutes, 40 seconds.
-
To count from 1 to 131,312,821,319,680 would take you about ten million, four hundred thirty-eight thousand, three hundred fifty-three 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 131312821319680 cubic inches would be around 4235.7 feet tall.
Recreational maths with 131312821319680
- 131312821319680 backwards is 086913128213131
- 131312821319680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131312821319680's digits is 49
- More coming soon!
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"Number 131312821319680 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 131312821319680 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/131312821319680/
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The information we have on file for 131312821319680 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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