48378142524096
48,378,142,524,096 is an even composite number composed of six prime numbers multiplied together.
48378142524096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.
Prime factorization of 48378142524096:
26 × 36 × 72 × 11 × 192 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 19 × 19 × 73 × 73)See below for interesting mathematical facts about the number 48378142524096 from the Numbermatics database.
Names of 48378142524096
- Cardinal: 48378142524096 can be written as Forty-eight trillion, three hundred seventy-eight billion, one hundred forty-two million, five hundred twenty-four thousand and ninety-six.
Scientific notation
- Scientific notation: 4.8378142524096 × 1013
Factors of 48378142524096
Divisors of 48378142524096
- Number of divisors d(n): 2646
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 49 54 56 57 63 64 66 72 73 76 77 81 84 88 96 98 99 108 112 114 126 132 133 144 146 147 152 154 162 168 171 176 189 192 196 198 209 216 219 224 228 231 243 252 264 266 288 292 294 297 304 308 324 336 342 352 361 378 392 396 399 418 432 438 441 448 456 462 486 504 511 513 528 532 539 567 576 584 588 594 608 616 627 648 657 672 684 693 704 722 729 756 784 792 798 803 836 864 876 882 891 912 924 931 972 1008 1022 1026 1056 1064 1078 1083 1134 1168 1176 1188 1197 1216 1232 1254 1296 1314 1323 1344 1368 1386 1387 1444 1458 1463 1512 1533 1539 1568 1584 1596 1606 1617 1672 1701 1728 1752 1764 1782 1824 1848 1862 1881 1944 1971 2016 2044 2052 2079 2112 2128 2156 2166 2268 2336 2352 2376 2394 2409 2464 2508 2527 2592 2628 2646 2673 2736 2772 2774 2793 2888 2916 2926 3024 3066 3078 3136 3168 3192 3212 3234 3249 3344 3402 3504 3528 3564 3577 3591 3648 3696 3724 3762 3888 3942 3969 3971 4032 4088 4104 4158 4161 4256 4312 4332 4389 4536 4599 4617 4672 4704 4752 4788 4818 4851 4928 5016 5054 5103 5184 5256 5292 5329 5346 5472 5544 5548 5586 5621 5643 5776 5832 5852 5913 6048 6132 6156 6237 6336 6384 6424 6468 6498 6688 6804 7008 7056 7128 7154 7182 7227 7392 7448 7524 7581 7776 7884 7938 7942 8019 8176 8208 8316 8322 8379 8512 8624 8664 8778 9072 9198 9234 9408 9504 9576 9636 9702 9709 9747 10032 10108 10206 10241 10512 10584 10658 10692 10731 10773 10944 11088 11096 11172 11242 11286 11552 11664 11704 11826 11907 11913 12096 12264 12312 12474 12483 12768 12848 12936 12996 13167 13376 13608 13797 13851 14016 14112 14256 14308 14364 14454 14553 14784 14896 15048 15162 15257 15552 15768 15876 15884 15987 16038 16352 16416 16632 16644 16758 16863 16929 17248 17328 17556 17689 17739 18144 18396 18468 18711 19008 19152 19272 19404 19418 19494 20064 20216 20412 20482 21024 21168 21316 21384 21462 21546 21681 22176 22192 22344 22484 22572 22743 23104 23328 23408 23652 23814 23826 24528 24624 24948 24966 25137 25536 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5375349169344 6047267815512 6911163217728 8063023754016 12094535631024 16126047508032 24189071262048 48378142524096
- Sum of all divisors σ(n): 195451914063132
- Sum of proper divisors (its aliquot sum) s(n): 147073771539036
- 48378142524096 is an abundant number, because the sum of its proper divisors (147073771539036) is greater than itself. Its abundance is 98695629014940
Bases of 48378142524096
- Binary: 10101111111111111010100000000000000010110000002
- Hexadecimal: 0x2BFFEA0002C0
- Base-36: H5CM0Z000
Squares and roots of 48378142524096
- 48378142524096 squared (483781425240962) is 2340444674081745693940617216
- 48378142524096 cubed (483781425240963) is 113226366012488104696894310454794392436736
-
The
square root of 48378142524096 is 6955439.7793450847 -
The
cube root of 48378142524096 is 36437.5971379917
Scales and comparisons
How big is 48378142524096?- 48,378,142,524,096 seconds is equal to 1,538,275 years, 15 weeks, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 48,378,142,524,096 would take you about three million, eight hundred forty-five thousand, six hundred eighty-eight 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 48378142524096 cubic inches would be around 3036.5 feet tall.
Recreational maths with 48378142524096
- 48378142524096 backwards is 69042524187384
- 48378142524096 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48378142524096's digits is 63
- More coming soon!
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The information we have on file for 48378142524096 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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