47838057007104
47,838,057,007,104 is an even composite number composed of five prime numbers multiplied together.
What does the number 47838057007104 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
47838057007104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 47838057007104:
211 × 313 × 72 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 23)See below for interesting mathematical facts about the number 47838057007104 from the Numbermatics database.
Names of 47838057007104
- Cardinal: 47838057007104 can be written as Forty-seven trillion, eight hundred thirty-eight billion, fifty-seven million, seven thousand, one hundred four.
Scientific notation
- Scientific notation: 4.7838057007104 × 1013
Factors of 47838057007104
Divisors of 47838057007104
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 27 28 32 36 39 42 46 48 49 52 54 56 63 64 69 72 78 81 84 91 92 96 98 104 108 112 117 126 128 138 144 147 156 161 162 168 182 184 189 192 196 207 208 216 224 234 243 252 256 273 276 288 294 299 312 322 324 336 351 364 368 378 384 392 414 416 432 441 448 468 483 486 504 512 546 552 567 576 588 598 621 624 637 644 648 672 702 728 729 736 756 768 784 819 828 832 864 882 896 897 936 966 972 1008 1024 1053 1092 1104 1127 1134 1152 1176 1196 1242 1248 1274 1288 1296 1323 1344 1404 1449 1456 1458 1472 1512 1536 1568 1638 1656 1664 1701 1728 1764 1792 1794 1863 1872 1911 1932 1944 2016 2048 2093 2106 2184 2187 2208 2254 2268 2304 2352 2392 2457 2484 2496 2548 2576 2592 2646 2688 2691 2808 2898 2912 2916 2944 3024 3072 3136 3159 3276 3312 3328 3381 3402 3456 3528 3584 3588 3726 3744 3822 3864 3888 3969 4032 4186 4212 4347 4368 4374 4416 4508 4536 4608 4704 4784 4914 4968 4992 5096 5103 5152 5184 5292 5376 5382 5589 5616 5733 5796 5824 5832 5888 6048 6144 6272 6279 6318 6552 6561 6624 6656 6762 6804 6912 7056 7168 7176 7371 7452 7488 7644 7728 7776 7938 8064 8073 8372 8424 8694 8736 8748 8832 9016 9072 9216 9408 9477 9568 9828 9936 9984 10143 10192 10206 10304 10368 10584 10752 10764 11178 11232 11466 11592 11648 11664 11776 11907 12096 12544 12558 12636 13041 13104 13122 13248 13312 13524 13608 13824 14112 14336 14352 14651 14742 14904 14976 15288 15309 15456 15552 15876 16128 16146 16744 16767 16848 17199 17388 17472 17496 17664 18032 18144 18432 18816 18837 18954 19136 19656 19683 19872 19968 20286 20384 20412 20608 20736 21168 21504 21528 22113 22356 22464 22932 23184 23296 23328 23552 23814 24192 24219 25088 25116 25272 26082 26208 26244 26496 26624 27048 27216 27648 28224 28431 28704 29302 29484 29808 29952 30429 30576 30618 30912 31104 31752 32256 32292 33488 33534 33696 34398 34776 34944 34992 35328 35721 36064 36288 37632 37674 37908 38272 39123 39312 39366 39744 39936 40572 40768 40824 41216 41472 42336 43008 43056 43953 44226 44712 44928 45864 45927 46368 46592 46656 47104 47628 48384 48438 50176 50232 50301 50544 51597 52164 52416 52488 52992 54096 54432 55296 56448 56511 56862 57408 58604 58968 59049 59616 59904 60858 61152 61236 61824 62208 63504 64512 64584 66339 66976 67068 67392 68796 69552 69888 69984 70656 71442 72128 72576 72657 75264 75348 75816 76544 78246 78624 78732 79488 79872 81144 81536 81648 82432 82944 84672 85293 86112 87906 88452 89424 89856 91287 91728 91854 92736 93184 93312 95256 96768 96876 100352 100464 100602 101088 103194 104328 104832 104976 105984 107163 108192 108864 112896 113022 113724 114816 117208 117369 117936 118098 119232 119808 121716 122304 122472 123648 124416 127008 129024 129168 131859 132678 133952 134136 134784 137592 137781 139104 139776 139968 141312 142884 144256 145152 145314 150528 150696 150903 151632 153088 154791 156492 157248 157464 158976 162288 163072 163296 164864 165888 169344 169533 170586 172224 175812 176904 177147 178848 179712 182574 183456 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31638926592 32498680032 32810738688 32855808384 33014532096 34072690176 35593792416 36158773248 36912081024 37141348608 37549495296 38331776448 38516954112 39998375424 40678619904 41526091152 42185235456 42447255552 43331573376 43807744512 45430253568 46716852546 47458389888 49216108032 49521798144 51109035264 53331167232 53390688624 54238159872 55368121536 57497664672 57775431168 58410326016 61017929856 62289136728 63277853184 64997360064 65621477376 65711616768 68145380352 71187584832 73824162048 74282697216 75098990592 76663552896 77033908224 79996750848 81357239808 83052182304 84370470912 86663146752 87615489024 93433705092 94916779776 98432216064 99043596288 102218070528 106781377248 108476319744 110736243072 114995329344 115550862336 122035859712 124578273456 126555706368 129994720128 131423233536 136290760704 142375169664 147648324096 148565394432 153327105792 159993501696 162714479616 166104364608 173326293504 175230978048 186867410184 189833559552 196864432128 204436141056 213562754496 221472486144 229990658688 231101724672 244071719424 249156546912 253111412736 259989440256 262846467072 284750339328 295296648192 297130788864 306654211584 325428959232 332208729216 346652587008 373734820368 379667119104 408872282112 427125508992 442944972288 459981317376 488143438848 498313093824 519978880512 525692934144 569500678656 590593296384 613308423168 664417458432 693305174016 747469640736 759334238208 854251017984 885889944576 919962634752 976286877696 996626187648 1039957761024 1139001357312 1226616846336 1328834916864 1494939281472 1708502035968 1771779889152 1839925269504 1993252375296 2079915522048 2278002714624 2657669833728 2989878562944 3417004071936 3679850539008 3986504750592 5315339667456 5979757125888 6834008143872 7973009501184 11959514251776 15946019002368 23919028503552 47838057007104
- Sum of all divisors σ(n): 187557967920960
- Sum of proper divisors (its aliquot sum) s(n): 139719910913856
- 47838057007104 is an abundant number, because the sum of its proper divisors (139719910913856) is greater than itself. Its abundance is 91881853906752
Bases of 47838057007104
- Binary: 10101110000010001010100110010100001000000000002
- Hexadecimal: 0x2B822A650800
- Base-36: GYGI00000
Squares and roots of 47838057007104
- 47838057007104 squared (478380570071042) is 2288479698214932113906466816
- 47838057007104 cubed (478380570071043) is 109476422262806080492306929949608052260864
-
The
square root of 47838057007104 is 6916506.1271644949 -
The
cube root of 47838057007104 is 36301.4949807903
Scales and comparisons
How big is 47838057007104?- 47,838,057,007,104 seconds is equal to 1,521,102 years, 12 weeks, 3 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 47,838,057,007,104 would take you about three million, eight hundred two thousand, seven hundred fifty-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 47838057007104 cubic inches would be around 3025.1 feet tall.
Recreational maths with 47838057007104
- 47838057007104 backwards is 40170075083874
- 47838057007104 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47838057007104's digits is 54
- More coming soon!
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"Number 47838057007104 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 47838057007104 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/47838057007104/
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The information we have on file for 47838057007104 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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