137531875968
137,531,875,968 is an even composite number composed of five prime numbers multiplied together.
137531875968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137531875968:
27 × 33 × 31 × 532 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 53 × 53 × 457)See below for interesting mathematical facts about the number 137531875968 from the Numbermatics database.
Names of 137531875968
- Cardinal: 137531875968 can be written as One hundred thirty-seven billion, five hundred thirty-one million, eight hundred seventy-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37531875968 × 1011
Factors of 137531875968
Divisors of 137531875968
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 53 54 62 64 72 93 96 106 108 124 128 144 159 186 192 212 216 248 279 288 318 372 384 424 432 457 477 496 558 576 636 744 837 848 864 914 954 992 1116 1152 1272 1371 1431 1488 1643 1674 1696 1728 1828 1908 1984 2232 2544 2742 2809 2862 2976 3286 3348 3392 3456 3656 3816 3968 4113 4464 4929 5088 5484 5618 5724 5952 6572 6696 6784 7312 7632 8226 8427 8928 9858 10176 10968 11236 11448 11904 12339 13144 13392 14167 14624 14787 15264 16452 16854 17856 19716 20352 21936 22472 22896 24221 24678 25281 26288 26784 28334 29248 29574 30528 32904 33708 35712 39432 42501 43872 44361 44944 45792 48442 49356 50562 52576 53568 56668 58496 59148 61056 65808 67416 72663 75843 78864 85002 87079 87744 88722 89888 91584 96884 98712 101124 105152 107136 113336 118296 127503 131616 134832 145326 151686 157728 170004 174158 175488 177444 179776 183168 193768 197424 202248 210304 217989 226672 236592 255006 261237 263232 269664 290652 303372 315456 340008 348316 354888 359552 382509 387536 394848 404496 435978 453344 473184 510012 522474 526464 539328 581304 606744 630912 653967 680016 696632 709776 750851 765018 775072 783711 789696 808992 871956 906688 946368 1020024 1044948 1078656 1162608 1213488 1283713 1307934 1360032 1393264 1419552 1501702 1530036 1550144 1567422 1579392 1617984 1743912 1813376 1892736 2040048 2089896 2252553 2325216 2351133 2426976 2567426 2615868 2720064 2786528 2839104 3003404 3060072 3100288 3134844 3235968 3487824 3851139 4080096 4179792 4505106 4650432 4702266 4853952 5134852 5231736 5440128 5573056 5678208 6006808 6120144 6269688 6757659 6975648 7702278 8160192 8359584 9010212 9300864 9404532 9707904 10269704 10463472 11146112 11553417 12013616 12240288 12539376 13515318 13951296 15404556 16320384 16719168 18020424 18809064 20272977 20539408 20926944 23106834 24027232 24480576 25078752 27030636 27902592 30809112 33438336 34660251 36040848 37618128 39795103 40545954 41078816 41853888 46213668 48054464 48961152 50157504 54061272 61618224 69320502 72081696 75236256 79590206 81091908 82157632 83707776 92427336 96108928 100315008 108122544 119385309 123236448 138641004 144163392 150472512 159180412 162183816 164315264 184854672 216245088 238770618 246472896 277282008 288326784 300945024 318360824 324367632 358155927 369709344 432490176 477541236 492945792 554564016 636721648 648735264 716311854 739418688 864980352 955082472 1074467781 1109128032 1273443296 1297470528 1432623708 1478837376 1910164944 2148935562 2218256064 2546886592 2594941056 2865247416 3820329888 4297871124 4436512128 5093773184 5730494832 7640659776 8595742248 11460989664 15281319552 17191484496 22921979328 34382968992 45843958656 68765937984 137531875968
- Sum of all divisors σ(n): 427993305600
- Sum of proper divisors (its aliquot sum) s(n): 290461429632
- 137531875968 is an abundant number, because the sum of its proper divisors (290461429632) is greater than itself. Its abundance is 152929553664
Bases of 137531875968
- Binary: 100000000001011000100111100010100000002
- Hexadecimal: 0x200589E280
- Base-36: 1R6IXEO0
Squares and roots of 137531875968
- 137531875968 squared (1375318759682) is 18915016907277335937024
- 137531875968 cubed (1375318759683) is 2601417759224289522668253827039232
-
The
square root of 137531875968 is 370852.9034105031 -
The
cube root of 137531875968 is 5161.7993940761
Scales and comparisons
How big is 137531875968?- 137,531,875,968 seconds is equal to 4,373 years, 4 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,531,875,968 would take you about eight thousand, seven hundred forty-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 137531875968 cubic inches would be around 430.1 feet tall.
Recreational maths with 137531875968
- 137531875968 backwards is 869578135731
- The number of decimal digits it has is: 12
- The sum of 137531875968's digits is 63
- More coming soon!
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The information we have on file for 137531875968 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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