48145729684416
48,145,729,684,416 is an even composite number composed of seven prime numbers multiplied together.
48145729684416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 48145729684416:
26 × 3 × 7 × 133 × 192 × 312 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 19 × 19 × 31 × 31 × 47)See below for interesting mathematical facts about the number 48145729684416 from the Numbermatics database.
Names of 48145729684416
- Cardinal: 48145729684416 can be written as Forty-eight trillion, one hundred forty-five billion, seven hundred twenty-nine million, six hundred eighty-four thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.8145729684416 × 1013
Factors of 48145729684416
Divisors of 48145729684416
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 31 32 38 39 42 47 48 52 56 57 62 64 76 78 84 91 93 94 96 104 112 114 124 133 141 152 156 168 169 182 186 188 192 208 217 224 228 247 248 266 273 282 304 312 329 336 338 361 364 372 376 399 403 416 434 448 456 494 496 507 532 546 564 589 608 611 624 651 658 672 676 722 728 741 744 752 798 806 832 868 893 912 961 987 988 992 1014 1064 1083 1092 1128 1178 1183 1209 1216 1222 1248 1302 1316 1344 1352 1444 1456 1457 1482 1488 1504 1596 1612 1729 1736 1767 1786 1824 1833 1922 1974 1976 1984 2028 2128 2166 2184 2197 2256 2356 2366 2418 2444 2496 2527 2604 2632 2679 2704 2821 2883 2888 2912 2914 2964 2976 3008 3192 3211 3224 3458 3472 3534 3549 3572 3648 3666 3844 3948 3952 4056 4123 4256 4277 4332 4368 4371 4394 4512 4693 4712 4732 4836 4888 5054 5187 5208 5239 5264 5358 5408 5642 5766 5776 5824 5828 5928 5952 6251 6384 6422 6448 6591 6727 6916 6944 7068 7098 7144 7332 7581 7657 7688 7896 7904 7943 8112 8246 8463 8512 8554 8664 8736 8742 8788 9024 9386 9424 9464 9633 9672 9776 10108 10199 10374 10416 10478 10528 10716 10816 11191 11284 11532 11552 11609 11656 11856 12369 12493 12502 12768 12831 12844 12896 13182 13454 13832 13888 14079 14136 14196 14288 14664 15162 15314 15376 15379 15717 15792 15808 15886 16224 16492 16926 16967 17108 17328 17472 17484 17576 18259 18753 18772 18848 18928 18941 19266 19344 19552 20181 20216 20398 20748 20832 20956 21056 21432 22382 22477 22568 22971 23064 23104 23218 23312 23712 23829 24738 24986 25004 25536 25662 25688 25792 26364 26908 27664 27683 28158 28272 28392 28576 29328 30324 30597 30628 30752 30758 31434 31584 31772 32448 32851 32984 33573 33852 33934 34216 34656 34827 34968 35152 36518 36673 37479 37506 37544 37696 37856 37882 38532 38688 39104 40362 40432 40796 41496 41664 41743 41912 42864 44764 44954 45136 45167 45942 46128 46137 46436 46624 47424 47658 49476 49972 50008 50901 51324 51376 52728 53599 53816 54777 55328 55366 55601 56316 56544 56784 56823 57152 58656 60648 61009 61194 61256 61504 61516 62868 63168 63544 65702 65968 67146 67431 67704 67868 68107 68432 69312 69654 69936 70304 73036 73346 74958 75012 75088 75712 75764 77064 77376 78337 80724 80864 81263 81592 82992 83049 83486 83824 85728 87451 89528 89908 90272 90334 91884 92256 92274 92872 93248 95316 98553 98952 99541 99944 100016 101802 102648 102752 103259 105456 107198 107632 109554 110019 110656 110732 111202 112632 113088 113568 113646 117312 118769 121296 122018 122388 122512 123032 125229 125736 127088 127813 131404 131936 132587 134292 134862 135408 135501 135736 136214 136864 139308 139872 140608 145483 146072 146692 149916 150024 150176 150917 151528 154128 156674 160797 161448 161728 162409 162526 163184 165984 166098 166803 166972 167648 171456 174902 179056 179816 180544 180668 183027 183768 184512 184548 185744 190632 193781 197106 197904 199082 199888 200032 203604 204321 205296 205504 206518 210912 214396 215264 219108 220038 220571 221464 222404 225264 227136 227292 235011 237367 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19699562064 19911385312 20348998176 20435369136 21341192236 21914305728 22044748024 22227945376 22624872972 23740497872 24267000849 24365247816 24389933984 25049807328 26266082752 26395685134 26957295456 27247158848 27733715256 27845997504 29867077968 30166497296 32011788354 32356001132 32486997088 33044426688 33067122036 33341918064 35610746808 35822715539 36584900976 36978287008 38578309042 39399124128 39593527701 39822770624 40697996352 40870738272 42682384472 44089496048 44455890752 45249745944 47480995744 48534001698 48730495632 48779867968 50099614656 52791370268 53914590912 55467430512 57867463563 59734155936 60332994592 64023576708 64712002264 64973994176 66134244072 66683836128 71221493616 71645431078 73169801952 73956574016 77156618084 78798248256 79187055402 81741476544 85364768944 88178992096 90499491888 94961991488 97068003396 97460991264 105582740536 107468146617 110934861024 115734927126 119468311872 120665989184 128047153416 129424004528 132268488144 133367672256 142442987232 143290862156 146339603904 154313236168 158374110804 170729537888 176357984192 180998983776 194136006792 194921982528 211165481072 214936293234 221869722048 231469854252 250759008773 256094306832 258848009056 264536976288 284885974464 286581724312 308626472336 316748221608 341459075776 361997967552 388272013584 422330962144 429872586468 462939708504 501518017546 512188613664 517696018112 529073952576 573163448624 617252944672 633496443216 752277026319 776544027168 844661924288 859745172936 925879417008 1003036035092 1024377227328 1146326897248 1234505889344 1266992886432 1504554052638 1553088054336 1719490345872 1851758834016 2006072070184 2292653794496 2533985772864 3009108105276 3438980691744 3703517668032 4012144140368 6018216210552 6877961383488 8024288280736 12036432421104 16048576561472 24072864842208 48145729684416
- Sum of all divisors σ(n): 175649176442880
- Sum of proper divisors (its aliquot sum) s(n): 127503446758464
- 48145729684416 is an abundant number, because the sum of its proper divisors (127503446758464) is greater than itself. Its abundance is 79357717074048
Bases of 48145729684416
- Binary: 10101111001001110011010001110110000011110000002
- Hexadecimal: 0x2BC9CD1D83C0
- Base-36: H2DUCD96O
Squares and roots of 48145729684416
- 48145729684416 squared (481457296844162) is 2318011286844855986953261056
- 48145729684416 cubed (481457296844163) is 111602344821857714289088197635032942903296
-
The
square root of 48145729684416 is 6938712.3938390759 -
The
cube root of 48145729684416 is 36379.1536444805
Scales and comparisons
How big is 48145729684416?- 48,145,729,684,416 seconds is equal to 1,530,885 years, 14 weeks, 3 days, 17 hours, 13 minutes, 36 seconds.
-
To count from 1 to 48,145,729,684,416 would take you about three million, eight hundred twenty-seven thousand, two hundred thirteen 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 48145729684416 cubic inches would be around 3031.6 feet tall.
Recreational maths with 48145729684416
- 48145729684416 backwards is 61448692754184
- The number of decimal digits it has is: 14
- The sum of 48145729684416's digits is 69
- More coming soon!
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"Number 48145729684416 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48145729684416 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48145729684416/
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The information we have on file for 48145729684416 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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