131972247768711168
131,972,247,768,711,168 is an even composite number composed of six prime numbers multiplied together.
131972247768711168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 131972247768711168:
214 × 33 × 7 × 133 × 37 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 37 × 524287)See below for interesting mathematical facts about the number 131972247768711168 from the Numbermatics database.
Names of 131972247768711168
- Cardinal: 131972247768711168 can be written as One hundred thirty-one quadrillion, nine hundred seventy-two trillion, two hundred forty-seven billion, seven hundred sixty-eight million, seven hundred eleven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31972247768711168 × 1017
Factors of 131972247768711168
Divisors of 131972247768711168
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 37 39 42 48 52 54 56 63 64 72 74 78 84 91 96 104 108 111 112 117 126 128 144 148 156 168 169 182 189 192 208 216 222 224 234 252 256 259 273 288 296 312 333 336 338 351 364 378 384 416 432 444 448 468 481 504 507 512 518 546 576 592 624 666 672 676 702 728 756 768 777 819 832 864 888 896 936 962 999 1008 1014 1024 1036 1092 1152 1183 1184 1248 1332 1344 1352 1404 1443 1456 1512 1521 1536 1554 1638 1664 1728 1776 1792 1872 1924 1998 2016 2028 2048 2072 2184 2197 2304 2331 2366 2368 2457 2496 2664 2688 2704 2808 2886 2912 3024 3042 3072 3108 3276 3328 3367 3456 3549 3552 3584 3744 3848 3996 4032 4056 4096 4144 4329 4368 4394 4563 4608 4662 4732 4736 4914 4992 5328 5376 5408 5616 5772 5824 6048 6084 6144 6216 6253 6552 6591 6656 6734 6912 6993 7098 7104 7168 7488 7696 7992 8064 8112 8192 8288 8658 8736 8788 9126 9216 9324 9464 9472 9828 9984 10101 10647 10656 10752 10816 11232 11544 11648 12096 12168 12288 12432 12506 12987 13104 13182 13312 13468 13824 13986 14196 14208 14336 14976 15379 15392 15984 16128 16224 16384 16576 17316 17472 17576 18252 18432 18648 18759 18928 18944 19656 19773 19968 20202 21294 21312 21504 21632 22464 23088 23296 24192 24336 24576 24864 25012 25974 26208 26364 26624 26936 27648 27972 28392 28416 28672 29952 30303 30758 30784 31941 31968 32256 32448 33152 34632 34944 35152 36504 36864 37296 37518 37856 37888 39312 39546 39936 40404 42588 42624 43008 43264 43771 44928 46137 46176 46592 48384 48672 49152 49728 50024 51948 52416 52728 53248 53872 55296 55944 56277 56784 56832 57344 59319 59904 60606 61516 61568 63882 63936 64512 64896 66304 69264 69888 70304 73008 73728 74592 75036 75712 75776 78624 79092 79872 80808 81289 85176 85248 86016 86528 87542 89856 90909 92274 92352 93184 96768 97344 99456 100048 103896 104832 105456 106496 107744 110592 111888 112554 113568 113664 114688 118638 119808 121212 123032 123136 127764 127872 129024 129792 131313 132608 138411 138528 139776 140608 146016 147456 149184 150072 151424 151552 157248 158184 159744 161616 162578 168831 170352 170496 172032 173056 175084 179712 181818 184548 184704 186368 193536 194688 198912 200096 207792 209664 210912 212992 215488 221184 223776 225108 227136 227328 237276 239616 242424 243867 246064 246272 255528 255744 258048 259584 262626 265216 276822 277056 279552 281216 292032 298368 300144 302848 303104 314496 316368 319488 323232 325156 337662 340704 340992 344064 346112 350168 359424 363636 369096 369408 372736 387072 389376 393939 397824 400192 415233 415584 419328 421824 430976 442368 447552 450216 454272 454656 474552 479232 484848 487734 492128 492544 511056 511488 516096 519168 524287 525252 530432 553644 554112 559104 562432 569023 584064 596736 600288 605696 606208 628992 632736 638976 646464 650312 675324 681408 681984 692224 700336 718848 727272 731601 738192 738816 745472 774144 778752 787878 795648 800384 830466 831168 838656 843648 861952 895104 900432 908544 909312 949104 958464 969696 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3566817507262464 3665895771353088 4124132742772224 4713294563168256 4887861028470784 5075855683411968 5498843657029632 6284392750891008 7331791542706176 8248265485544448 9426589126336512 10151711366823936 10997687314059264 14663583085412352 16496530971088896 18853178252673024 21995374628118528 32993061942177792 43990749256237056 65986123884355584 131972247768711168
- Sum of all divisors σ(n): 497183984766156800
- Sum of proper divisors (its aliquot sum) s(n): 365211736997445632
- 131972247768711168 is an abundant number, because the sum of its proper divisors (365211736997445632) is greater than itself. Its abundance is 233239489228734464
Bases of 131972247768711168
- Binary: 1110101001101110000001111011001000111011011000000000000002
- Hexadecimal: 0x1D4DC0F6476C000
- Base-36: 103G99NN11C0
Squares and roots of 131972247768711168
- 131972247768711168 squared (1319722477687111682) is 17416674181126089860825851807924224
- 131972247768711168 cubed (1319722477687111683) is 2298517640338487021705985030969170234875669886533632
-
The
square root of 131972247768711168 is 363279847.7327240457 -
The
cube root of 131972247768711168 is 509128.6515193819
Scales and comparisons
How big is 131972247768711168?- 131,972,247,768,711,168 seconds is equal to 4,196,309,262 years, 4 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 131,972,247,768,711,168 would take you about twelve billion, five hundred eighty-eight million, nine hundred twenty-seven thousand, seven 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 131972247768711168 cubic inches would be around 42427.4 feet tall.
Recreational maths with 131972247768711168
- 131972247768711168 backwards is 861117867742279131
- The number of decimal digits it has is: 18
- The sum of 131972247768711168's digits is 81
- More coming soon!
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The information we have on file for 131972247768711168 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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