46997856816768
46,997,856,816,768 is an even composite number composed of six prime numbers multiplied together.
What does the number 46997856816768 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
46997856816768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 46997856816768:
27 × 310 × 112 × 13 × 59 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 59 × 67)See below for interesting mathematical facts about the number 46997856816768 from the Numbermatics database.
Names of 46997856816768
- Cardinal: 46997856816768 can be written as Forty-six trillion, nine hundred ninety-seven billion, eight hundred fifty-six million, eight hundred sixteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.6997856816768 × 1013
Factors of 46997856816768
Divisors of 46997856816768
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 59 64 66 67 72 78 81 88 96 99 104 108 117 118 121 128 132 134 143 144 156 162 176 177 192 198 201 208 216 234 236 242 243 264 268 286 288 297 312 324 351 352 354 363 384 396 402 416 429 432 468 472 484 486 528 531 536 572 576 594 603 624 648 649 702 704 708 726 729 737 767 792 804 832 858 864 871 891 936 944 968 972 1053 1056 1062 1072 1089 1144 1152 1188 1206 1248 1287 1296 1298 1404 1408 1416 1452 1458 1474 1534 1573 1584 1593 1608 1664 1716 1728 1742 1782 1809 1872 1888 1936 1944 1947 2106 2112 2124 2144 2178 2187 2211 2288 2301 2376 2412 2496 2574 2592 2596 2613 2673 2808 2832 2904 2916 2948 3068 3146 3159 3168 3186 3216 3267 3432 3456 3484 3564 3618 3744 3776 3861 3872 3888 3894 3953 4212 4224 4248 4288 4356 4374 4422 4576 4602 4719 4752 4779 4824 4992 5148 5184 5192 5226 5346 5427 5616 5664 5808 5832 5841 5896 6136 6292 6318 6336 6372 6432 6534 6561 6633 6864 6903 6968 7128 7139 7236 7488 7552 7722 7744 7776 7788 7839 7906 8019 8107 8424 8437 8496 8576 8712 8748 8844 9152 9204 9438 9477 9504 9558 9581 9648 9801 10296 10368 10384 10452 10692 10854 11232 11328 11583 11616 11664 11682 11792 11859 12272 12584 12636 12672 12744 12864 13068 13122 13266 13728 13806 13936 14157 14256 14278 14337 14472 14976 15444 15488 15552 15576 15678 15812 16038 16214 16281 16848 16874 16992 17424 17496 17523 17688 18304 18408 18876 18954 19008 19116 19162 19296 19602 19683 19899 20592 20709 20768 20904 21384 21417 21708 22464 22656 23166 23232 23328 23364 23517 23584 23718 24057 24321 24544 25168 25272 25311 25488 25728 26136 26244 26532 27456 27612 27872 28314 28431 28512 28556 28674 28743 28944 29403 30888 31104 31152 31356 31624 32076 32428 32562 33696 33748 33984 34749 34848 34992 35046 35376 35577 36816 37752 37908 38016 38232 38324 38592 39204 39366 39798 41184 41418 41536 41808 42471 42768 42834 43011 43416 43483 44928 46332 46464 46656 46728 47034 47168 47436 48114 48642 48843 49088 50336 50544 50622 50976 51389 52272 52488 52569 53064 54912 55224 55744 56628 56862 57024 57112 57348 57486 57888 58806 59049 59697 61776 62127 62304 62712 63248 64152 64251 64856 65124 67392 67496 67968 69498 69696 69984 70092 70551 70752 71154 72171 72963 73632 75504 75816 75933 76464 76648 77184 78408 78732 79596 82368 82836 83072 83616 84942 85293 85536 85668 86022 86229 86832 86966 88209 92664 92807 93312 93456 94068 94336 94872 96228 97284 97686 98176 100672 101088 101244 101952 102778 104247 104544 104976 105138 105391 106128 106731 110448 111488 113256 113724 114048 114224 114696 114972 115776 117612 118098 119394 123552 124254 124608 125424 126496 127413 128304 128502 129033 129712 130248 130449 134784 134992 138996 139392 139968 140184 141102 141504 142308 144342 145926 146529 147264 151008 151632 151866 152928 153296 154167 156816 157464 157707 159192 164736 165672 167232 169884 170586 171072 171336 172044 172458 173664 173932 176418 179091 185328 185614 186381 186912 188136 189744 192456 192753 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290110227264 301268312928 326374005672 328656341376 350730274752 356044369824 367170756381 388412039808 398286922176 401691083904 435165340896 451902469392 474725826432 489561008508 534066554736 580220454528 602536625856 652748011344 701460549504 712088739648 734341512762 796573844352 870330681792 903804938784 979122017016 1068133109472 1205073251712 1305496022688 1424177479296 1468683025524 1740661363584 1807609877568 1958244034032 2136266218944 2610992045376 2937366051048 3615219755136 3916488068064 4272532437888 5221984090752 5874732102096 7832976136128 11749464204192 15665952272256 23498928408384 46997856816768
- Sum of all divisors σ(n): 171585812210400
- Sum of proper divisors (its aliquot sum) s(n): 124587955393632
- 46997856816768 is an abundant number, because the sum of its proper divisors (124587955393632) is greater than itself. Its abundance is 77590098576864
Bases of 46997856816768
- Binary: 10101010111110100010101000111110001110100000002
- Hexadecimal: 0x2ABE8A8F8E80
- Base-36: GNQIMI000
Squares and roots of 46997856816768
- 46997856816768 squared (469978568167682) is 2208798545369426365925965824
- 46997856816768 cubed (469978568167683) is 103808797772357737452687482501892598136832
-
The
square root of 46997856816768 is 6855498.2909171527 -
The
cube root of 46997856816768 is 36087.7122557765
Scales and comparisons
How big is 46997856816768?- 46,997,856,816,768 seconds is equal to 1,494,386 years, 24 weeks, 4 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 46,997,856,816,768 would take you about three million, seven hundred thirty-five thousand, nine hundred sixty-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 46997856816768 cubic inches would be around 3007.3 feet tall.
Recreational maths with 46997856816768
- 46997856816768 backwards is 86761865879964
- The number of decimal digits it has is: 14
- The sum of 46997856816768's digits is 90
- More coming soon!
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Cite this page
MLA style:
"Number 46997856816768 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 46997856816768 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/46997856816768/
Chicago style:
Numbermatics. 2024. "Number 46997856816768 - Facts about the integer". https://numbermatics.com/n/46997856816768/
The information we have on file for 46997856816768 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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