47838641131008
47,838,641,131,008 is an even composite number composed of seven prime numbers multiplied together.
What does the number 47838641131008 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
47838641131008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 47838641131008:
29 × 32 × 72 × 132 × 31 × 37 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 31 × 37 × 1093)See below for interesting mathematical facts about the number 47838641131008 from the Numbermatics database.
Names of 47838641131008
- Cardinal: 47838641131008 can be written as Forty-seven trillion, eight hundred thirty-eight billion, six hundred forty-one million, one hundred thirty-one thousand and eight.
Scientific notation
- Scientific notation: 4.7838641131008 × 1013
Factors of 47838641131008
Divisors of 47838641131008
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 37 39 42 48 49 52 56 62 63 64 72 74 78 84 91 93 96 98 104 111 112 117 124 126 128 144 147 148 156 168 169 182 186 192 196 208 217 222 224 234 248 252 256 259 273 279 288 294 296 312 333 336 338 364 372 384 392 403 416 434 441 444 448 468 481 496 504 507 512 518 546 558 576 588 592 624 637 651 666 672 676 728 744 768 777 784 806 819 832 868 882 888 896 936 962 992 1008 1014 1036 1092 1093 1116 1147 1152 1176 1183 1184 1209 1248 1274 1302 1332 1344 1352 1443 1456 1488 1519 1521 1536 1554 1568 1612 1638 1664 1736 1764 1776 1792 1813 1872 1911 1924 1953 1984 2016 2028 2072 2184 2186 2232 2294 2304 2331 2352 2366 2368 2418 2496 2548 2604 2664 2688 2704 2821 2886 2912 2976 3038 3042 3108 3136 3224 3276 3279 3328 3367 3441 3472 3528 3549 3552 3584 3626 3627 3744 3822 3848 3906 3968 4032 4056 4144 4329 4368 4372 4464 4557 4588 4608 4662 4704 4732 4736 4836 4992 5096 5208 5239 5328 5376 5408 5439 5642 5733 5772 5824 5952 6076 6084 6216 6253 6272 6448 6552 6558 6656 6734 6882 6944 7056 7098 7104 7252 7254 7488 7644 7651 7696 7812 7936 8029 8064 8112 8281 8288 8463 8658 8736 8744 8928 9114 9176 9324 9408 9464 9472 9672 9837 9984 10101 10192 10323 10416 10478 10647 10656 10752 10816 10878 11284 11466 11544 11648 11904 12152 12168 12432 12506 12544 12896 13104 13116 13468 13671 13764 13888 14112 14196 14208 14209 14504 14508 14911 14976 15288 15302 15392 15624 15717 15872 16058 16128 16224 16317 16562 16576 16926 17316 17472 17488 17856 18228 18352 18648 18759 18816 18928 18944 19344 19674 19747 19968 20202 20384 20646 20832 20956 21294 21312 21632 21756 22568 22932 22953 23088 23296 23569 23808 24087 24304 24336 24843 24864 25012 25088 25389 25792 26208 26232 26936 27342 27528 27776 28224 28392 28416 28418 29008 29016 29822 29952 30303 30576 30604 30784 31248 31434 32116 32256 32448 32634 33124 33152 33852 33883 34632 34944 34976 35712 36456 36673 36704 37296 37518 37632 37856 38688 39348 39494 40404 40441 40768 41292 41664 41912 42588 42624 42627 43264 43512 43771 44733 45136 45864 45906 46176 46592 47138 47151 47616 48174 48608 48672 49686 49728 50024 50778 51584 52416 52464 53557 53872 54684 55056 55552 56203 56277 56448 56784 56832 56836 58016 58032 59241 59644 59904 60606 61152 61208 61568 62496 62868 64232 64896 65268 66248 66304 67704 67766 68859 69264 69888 69952 70707 71424 72261 72912 73346 73408 74529 74592 75036 75264 75712 77376 78696 78988 80808 80882 81536 82584 83328 83824 85176 85248 85254 86528 87024 87542 89466 90272 91728 91812 92352 94276 94302 96348 97216 97344 99372 99456 99463 100048 101556 101649 103168 104377 104832 104928 107114 107744 109368 110019 110112 111104 112406 112554 112896 113568 113672 116032 116064 118482 119288 121212 121323 122304 122416 123136 124992 125736 127881 128464 129792 130536 131313 132496 132608 134199 135408 135532 137718 138528 139776 139904 141414 142848 144522 145824 146692 146816 149058 149184 150072 151424 154752 157392 157976 160671 161616 161764 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15946213710336 23919320565504 47838641131008
- Sum of all divisors σ(n): 184542257218176
- Sum of proper divisors (its aliquot sum) s(n): 136703616087168
- 47838641131008 is an abundant number, because the sum of its proper divisors (136703616087168) is greater than itself. Its abundance is 88864974956160
Bases of 47838641131008
- Binary: 10101110000010010011010011011000001110000000002
- Hexadecimal: 0x2B824D360E00
- Base-36: GYGRNRSW0
Squares and roots of 47838641131008
- 47838641131008 squared (478386411310082) is 2288535585261370377419096064
- 47838641131008 cubed (478386411310083) is 109480432578860058607308253555129961152512
-
The
square root of 47838641131008 is 6916548.3538400857 -
The
cube root of 47838641131008 is 36301.6427326431
Scales and comparisons
How big is 47838641131008?- 47,838,641,131,008 seconds is equal to 1,521,120 years, 42 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 47,838,641,131,008 would take you about three million, eight hundred two thousand, eight hundred two 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 47838641131008 cubic inches would be around 3025.1 feet tall.
Recreational maths with 47838641131008
- 47838641131008 backwards is 80013114683874
- The number of decimal digits it has is: 14
- The sum of 47838641131008's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 47838641131008 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
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Numbermatics. (2024). Number 47838641131008 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/47838641131008/
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The information we have on file for 47838641131008 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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