131536957989744384
131,536,957,989,744,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 131536957989744384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
131536957989744384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 131536957989744384:
28 × 3 × 75 × 113 × 27672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 2767 × 2767)See below for interesting mathematical facts about the number 131536957989744384 from the Numbermatics database.
Names of 131536957989744384
- Cardinal: 131536957989744384 can be written as One hundred thirty-one quadrillion, five hundred thirty-six trillion, nine hundred fifty-seven billion, nine hundred eighty-nine million, seven hundred forty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.31536957989744384 × 1017
Factors of 131536957989744384
Divisors of 131536957989744384
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 121 128 132 147 154 168 176 192 196 224 231 242 256 264 294 308 336 343 352 363 384 392 448 462 484 528 539 588 616 672 686 704 726 768 784 847 896 924 968 1029 1056 1078 1176 1232 1331 1344 1372 1408 1452 1568 1617 1694 1792 1848 1936 2058 2112 2156 2352 2401 2464 2541 2662 2688 2744 2767 2816 2904 3136 3234 3388 3696 3773 3872 3993 4116 4224 4312 4704 4802 4928 5082 5324 5376 5488 5534 5808 5929 6272 6468 6776 7203 7392 7546 7744 7986 8232 8301 8448 8624 9317 9408 9604 9856 10164 10648 10976 11068 11319 11616 11858 12544 12936 13552 14406 14784 15092 15488 15972 16464 16602 16807 17248 17787 18634 18816 19208 19369 19712 20328 21296 21952 22136 22638 23232 23716 25872 26411 27104 27951 28812 29568 30184 30437 30976 31944 32928 33204 33614 34496 35574 37268 37632 38416 38738 40656 41503 42592 43904 44272 45276 46464 47432 50421 51744 52822 54208 55902 57624 58107 59136 60368 60874 63888 65219 65856 66408 67228 68992 71148 74536 76832 77476 79233 81312 83006 85184 87808 88544 90552 91311 92928 94864 100842 103488 105644 108416 111804 115248 116214 120736 121748 124509 127776 130438 131712 132816 134456 135583 137984 142296 149072 153664 154952 158466 162624 166012 170368 177088 181104 182622 184877 189728 195657 201684 206976 211288 213059 216832 223608 230496 232428 241472 243496 249018 255552 260876 263424 265632 268912 271166 284592 290521 298144 307328 309904 316932 325248 332024 334807 340736 354176 362208 365244 369754 379456 391314 403368 406749 413952 422576 426118 447216 456533 460992 464856 482944 486992 498036 511104 521752 531264 537824 542332 554631 569184 581042 596288 614656 619808 633864 639177 650496 664048 669614 708352 724416 730488 739508 758912 782628 806736 813498 845152 852236 871563 894432 913066 921984 929712 949081 965888 973984 996072 1004421 1022208 1043504 1062528 1075648 1084664 1109262 1138368 1162084 1192576 1239616 1267728 1278354 1328096 1339228 1369599 1448832 1460976 1479016 1491413 1517824 1565256 1613472 1626996 1690304 1704472 1743126 1788864 1826132 1843968 1859424 1898162 1947968 1992144 2008842 2033647 2087008 2125056 2151296 2169328 2218524 2276736 2324168 2343649 2385152 2479232 2535456 2556708 2656192 2678456 2739198 2847243 2897664 2921952 2958032 2982826 3130512 3195731 3226944 3253992 3380608 3408944 3486252 3577728 3652264 3682877 3718848 3796324 3895936 3984288 4017684 4067294 4174016 4302592 4338656 4437048 4474239 4553472 4648336 4687298 4958464 5070912 5113416 5312384 5356912 5478396 5694486 5843904 5916064 5965652 6100941 6261024 6391462 6453888 6507984 6643567 6761216 6817888 6972504 7030947 7155456 7304528 7365754 7437696 7592648 7656289 7791872 7968576 8035368 8134588 8348032 8677312 8874096 8948478 9296672 9374596 9587193 10141824 10226832 10439891 10624768 10713824 10956792 11048631 11388972 11687808 11832128 11931304 12201882 12522048 12782924 12907776 13015968 13287134 13635776 13945008 14061894 14609056 14731508 14875392 15185296 15312578 15937152 16070736 16269176 16405543 16696064 17354624 17748192 17896956 18593344 18749192 19174386 19930701 20283648 20453664 20879782 21427648 21913584 22097262 22370117 22777944 22968867 23375616 23664256 23862608 24403764 25044096 25565848 25780139 26031936 26574268 27271552 27890016 28123788 29218112 29463016 30370592 30625156 31319673 31874304 32141472 32538352 32811086 34709248 35496384 35793912 37186688 37498384 38348772 39861402 40907328 41759564 42855296 43827168 44194524 44740234 45555888 45937734 46504969 47328512 47725216 48807528 49216629 50088192 51131696 51560278 52063872 53148536 53594023 54543104 55780032 56247576 58436224 58926032 60741184 61250312 62639346 64282944 65076704 65622172 67110351 70992768 71587824 73079237 74373376 74996768 76697544 77340417 79722804 81814656 83519128 84219179 85710592 87654336 88389048 89480468 91111776 91875468 93009938 95450432 97615056 98433258 102263392 103120556 104127744 106297072 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171272080715813 181180382905984 186842269871796 191744836719744 195739520818072 213534022710624 223702309506368 244038883097856 249123026495728 271770574358976 284712030280832 293609281227108 335553464259552 342544161431626 362360765811968 373684539743592 383489673439488 391479041636144 427068045421248 447404619012736 498246052991456 513816242147439 543541148717952 569424060561664 587218562454216 671106928519104 685088322863252 747369079487184 782958083272288 854136090842496 894809238025472 996492105982912 1027632484294878 1087082297435904 1174437124908432 1342213857038208 1370176645726504 1494738158974368 1565916166544576 1708272181684992 1992984211965824 2055264968589756 2348874249816864 2684427714076416 2740353291453008 2989476317948736 3131832333089152 3985968423931648 4110529937179512 4697748499633728 5480706582906016 5978952635897472 6263664666178304 8221059874359024 9395496999267456 10961413165812032 11957905271794944 16442119748718048 18790993998534912 21922826331624064 32884239497436096 43845652663248128 65768478994872192 131536957989744384
- Sum of all divisors σ(n): 449397413027248896
- Sum of proper divisors (its aliquot sum) s(n): 317860455037504512
- 131536957989744384 is an abundant number, because the sum of its proper divisors (317860455037504512) is greater than itself. Its abundance is 186323497047760128
Bases of 131536957989744384
- Binary: 1110100110101000000101010100101111101000001101111000000002
- Hexadecimal: 0x1D3502A97D06F00
- Base-36: ZZ5YKAJHBEO
Squares and roots of 131536957989744384
- 131536957989744384 squared (1315369579897443842) is 17301971317195778937992921659539456
- 131536957989744384 cubed (1315369579897443843) is 2275848674289743478071885435019188507956528602415104
-
The
square root of 131536957989744384 is 362680242.0724685465 -
The
cube root of 131536957989744384 is 508568.2746033623
Scales and comparisons
How big is 131536957989744384?- 131,536,957,989,744,384 seconds is equal to 4,182,468,393 years, 28 weeks, 3 days, 16 hours, 6 minutes, 24 seconds.
-
To count from 1 to 131,536,957,989,744,384 would take you about twelve billion, five hundred forty-seven million, four hundred five thousand, one hundred eighty 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 131536957989744384 cubic inches would be around 42380.7 feet tall.
Recreational maths with 131536957989744384
- 131536957989744384 backwards is 483447989759635131
- 131536957989744384 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131536957989744384's digits is 96
- More coming soon!
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"Number 131536957989744384 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 131536957989744384 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/131536957989744384/
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The information we have on file for 131536957989744384 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!
Keywords: Divisors of 131536957989744384, math, Factors of 131536957989744384, curriculum, school, college, exams, university, Prime factorization of 131536957989744384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, five hundred thirty-six trillion, nine hundred fifty-seven billion, nine hundred eighty-nine million, seven hundred forty-four thousand, three hundred eighty-four.