82315796997012768
82,315,796,997,012,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 82315796997012768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
82315796997012768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 82315796997012768:
25 × 39 × 73 × 53 × 1933
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 53 × 193 × 193 × 193)See below for interesting mathematical facts about the number 82315796997012768 from the Numbermatics database.
Names of 82315796997012768
- Cardinal: 82315796997012768 can be written as Eighty-two quadrillion, three hundred fifteen trillion, seven hundred ninety-six billion, nine hundred ninety-seven million, twelve thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 8.2315796997012768 × 1016
Factors of 82315796997012768
Divisors of 82315796997012768
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 72 81 84 96 98 106 108 112 126 144 147 159 162 168 189 193 196 212 216 224 243 252 288 294 318 324 336 343 371 378 386 392 424 432 441 477 486 504 567 579 588 636 648 672 686 729 742 756 772 784 848 864 882 954 972 1008 1029 1113 1134 1158 1176 1272 1296 1323 1351 1372 1431 1458 1484 1512 1544 1568 1696 1701 1737 1764 1908 1944 2016 2058 2187 2226 2268 2316 2352 2544 2592 2597 2646 2702 2744 2862 2916 2968 3024 3087 3088 3339 3402 3474 3528 3816 3888 3969 4053 4116 4293 4374 4452 4536 4632 4704 5088 5103 5194 5211 5292 5404 5488 5724 5832 5936 6048 6174 6176 6561 6678 6804 6948 7056 7632 7776 7791 7938 8106 8232 8586 8748 8904 9072 9261 9264 9457 10017 10206 10229 10388 10422 10584 10808 10976 11448 11664 11872 11907 12159 12348 12879 13122 13356 13608 13896 14112 15264 15309 15582 15633 15876 16212 16464 17172 17496 17808 18144 18179 18522 18528 18914 19683 20034 20412 20458 20776 20844 21168 21616 22896 23328 23373 23814 24318 24696 25758 26244 26712 27216 27783 27792 28371 30051 30618 30687 31164 31266 31752 32424 32928 34344 34992 35616 35721 36358 36477 37044 37249 37828 38637 39366 40068 40824 40916 41552 41688 42336 43232 45792 45927 46746 46899 47628 48636 49392 51516 52488 53424 54432 54537 55566 55584 56742 60102 61236 61374 62328 62532 63504 64848 66199 68688 69984 70119 71442 71603 72716 72954 74088 74498 75656 77274 78732 80136 81648 81832 83104 83349 83376 85113 90153 91854 92061 93492 93798 95256 97272 98784 103032 104976 106848 107163 109074 109431 111132 111747 113484 115911 120204 122472 122748 124656 125064 127008 129696 132398 137376 137781 140238 140697 142884 143206 145432 145908 148176 148996 151312 154548 157464 160272 163296 163611 163664 166698 166752 170226 180306 183708 184122 186984 187596 190512 194544 198597 206064 209952 210357 214326 214809 218148 218862 222264 223494 226968 231822 240408 244944 245496 249312 250047 250128 255339 260743 264796 270459 275562 276183 280476 281394 285768 286412 290864 291816 296352 297992 302624 309096 314928 320544 321489 327222 327328 328293 333396 335241 340452 347733 360612 367416 368244 373968 375192 381024 389088 397194 412128 420714 422091 428652 429618 436296 437724 444528 446988 453936 463644 480816 489888 490833 490992 500094 500256 501221 510678 521486 529592 540918 551124 552366 560952 562788 571536 572824 581728 583632 595791 595984 618192 629856 631071 642978 644427 654444 656586 666792 670482 680904 695466 721224 734832 736488 747936 750141 750384 766017 782229 794388 811377 828549 841428 844182 857304 859236 872592 875448 889056 893976 907872 927288 961632 964467 981666 981984 984879 1000188 1002442 1005723 1021356 1042972 1043199 1059184 1081836 1102248 1104732 1121904 1125576 1143072 1145648 1167264 1191582 1191968 1236384 1262142 1266273 1285956 1288854 1308888 1313172 1333584 1340964 1361808 1390932 1442448 1469664 1472499 1472976 1500282 1500768 1503663 1532034 1564458 1588776 1622754 1657098 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5144737312313298 5879699785500912 6859649749751064 9146199666334752 10289474624626596 11759399571001824 13719299499502128 20578949249253192 27438598999004256 41157898498506384 82315796997012768
- Sum of all divisors σ(n): 290333737108800000
- Sum of proper divisors (its aliquot sum) s(n): 208017940111787232
- 82315796997012768 is an abundant number, because the sum of its proper divisors (208017940111787232) is greater than itself. Its abundance is 125702143114774464
Bases of 82315796997012768
- Binary: 1001001000111000111000111111111110110100011111101001000002
- Hexadecimal: 0x12471C7FF68FD20
- Base-36: MIIIJ3D4I00
Squares and roots of 82315796997012768
- 82315796997012768 squared (823157969970127682) is 6775890435253416234201115555021824
- 82315796997012768 cubed (823157969970127683) is 557762821542320697554320552116593728132069046648832
-
The
square root of 82315796997012768 is 286907296.8695860269 -
The
cube root of 82315796997012768 is 435005.1472452333
Scales and comparisons
How big is 82315796997012768?- 82,315,796,997,012,768 seconds is equal to 2,617,387,725 years, 1 week, 2 days, 20 hours, 52 minutes, 48 seconds.
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To count from 1 to 82,315,796,997,012,768 would take you about seven billion, eight hundred fifty-two million, one hundred sixty-three thousand, one hundred seventy-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 82315796997012768 cubic inches would be around 36250.4 feet tall.
Recreational maths with 82315796997012768
- 82315796997012768 backwards is 86721079969751328
- The number of decimal digits it has is: 17
- The sum of 82315796997012768's digits is 90
- More coming soon!
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The information we have on file for 82315796997012768 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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