968042663018496
968,042,663,018,496 is an even composite number composed of five prime numbers multiplied together.
968042663018496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 968042663018496:
215 × 33 × 132 × 31 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 31 × 457 × 457)See below for interesting mathematical facts about the number 968042663018496 from the Numbermatics database.
Names of 968042663018496
- Cardinal: 968042663018496 can be written as Nine hundred sixty-eight trillion, forty-two billion, six hundred sixty-three million, eighteen thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 9.68042663018496 × 1014
Factors of 968042663018496
Divisors of 968042663018496
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 144 156 169 186 192 208 216 234 248 256 279 288 312 338 351 372 384 403 416 432 457 468 496 507 512 558 576 624 676 702 744 768 806 832 837 864 914 936 992 1014 1024 1116 1152 1209 1248 1352 1371 1404 1488 1521 1536 1612 1664 1674 1728 1828 1872 1984 2028 2048 2232 2304 2418 2496 2704 2742 2808 2976 3042 3072 3224 3328 3348 3456 3627 3656 3744 3968 4056 4096 4113 4464 4563 4608 4836 4992 5239 5408 5484 5616 5941 5952 6084 6144 6448 6656 6696 6912 7254 7312 7488 7936 8112 8192 8226 8928 9126 9216 9672 9984 10478 10816 10881 10968 11232 11882 11904 12168 12288 12339 12896 13312 13392 13824 14167 14508 14624 14976 15717 15872 16224 16384 16452 17823 17856 18252 18432 19344 19968 20956 21632 21762 21936 22464 23764 23808 24336 24576 24678 25792 26624 26784 27648 28334 29016 29248 29952 31434 31744 32448 32768 32904 35646 35712 36504 36864 38688 39936 41912 42501 43264 43524 43872 44928 47151 47528 47616 48672 49152 49356 51584 53248 53469 53568 55296 56668 58032 58496 59904 62868 63488 64896 65808 71292 71424 73008 73728 77233 77376 79872 83824 85002 86528 87048 87744 89856 94302 95056 95232 97344 98304 98712 103168 106496 106938 107136 110592 113336 116064 116992 119808 125736 126976 127503 129792 131616 141453 142584 142848 146016 147456 154466 154752 159744 160407 167648 170004 173056 174096 175488 179712 184171 188604 190112 190464 194688 197424 206336 208849 212992 213876 214272 221184 226672 231699 232128 233984 239616 251472 253952 255006 259584 263232 282906 285168 285696 292032 294912 308932 309504 319488 320814 335296 340008 346112 348192 350976 359424 368342 377208 380224 380928 382509 389376 394848 412672 417698 425984 427752 428544 442368 453344 463398 464256 467968 479232 502944 507904 510012 519168 526464 552513 565812 570336 571392 584064 617864 619008 626547 638976 641628 670592 680016 692224 695097 696384 701952 718848 736684 754416 760448 761856 765018 778752 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10409060892672 12410803372032 13445036986368 15125666609664 15613591339008 17926715981824 18616205058048 20167555479552 24821606744064 26890073972736 30251333219328 31227182678016 35853431963648 37232410116096 40335110959104 53780147945472 60502666438656 74464820232192 80670221918208 107560295890944 121005332877312 161340443836416 242010665754624 322680887672832 484021331509248 968042663018496
- Sum of all divisors σ(n): 3213054677548800
- Sum of proper divisors (its aliquot sum) s(n): 2245012014530304
- 968042663018496 is an abundant number, because the sum of its proper divisors (2245012014530304) is greater than itself. Its abundance is 1276969351511808
Bases of 968042663018496
- Binary: 110111000001101101111111110000111010000000000000002
- Hexadecimal: 0x3706DFF0E8000
- Base-36: 9J54NRFUO0
Squares and roots of 968042663018496
- 968042663018496 squared (9680426630184962) is 937106597423941403190038102016
- 968042663018496 cubed (9680426630184963) is 907159166102473899525994399540437253342887936
-
The
square root of 968042663018496 is 31113383.9853285005 -
The
cube root of 968042663018496 is 98923.2021151125
Scales and comparisons
How big is 968042663018496?- 968,042,663,018,496 seconds is equal to 30,780,762 years, 17 weeks, 1 day, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 968,042,663,018,496 would take you about seventy-six million, nine hundred fifty-one thousand, nine hundred five 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 968042663018496 cubic inches would be around 8243.6 feet tall.
Recreational maths with 968042663018496
- 968042663018496 backwards is 694810366240869
- 968042663018496 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 968042663018496's digits is 72
- More coming soon!
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The information we have on file for 968042663018496 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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