3948704854016
3,948,704,854,016 is an even composite number composed of six prime numbers multiplied together.
3948704854016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 3948704854016:
212 × 13 × 19 × 31 × 137 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 19 × 31 × 137 × 919)See below for interesting mathematical facts about the number 3948704854016 from the Numbermatics database.
Names of 3948704854016
- Cardinal: 3948704854016 can be written as Three trillion, nine hundred forty-eight billion, seven hundred four million, eight hundred fifty-four thousand and sixteen.
Scientific notation
- Scientific notation: 3.948704854016 × 1012
Factors of 3948704854016
Divisors of 3948704854016
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 128 137 152 208 247 248 256 274 304 403 416 494 496 512 548 589 608 806 832 919 988 992 1024 1096 1178 1216 1612 1664 1781 1838 1976 1984 2048 2192 2356 2432 2603 3224 3328 3562 3676 3952 3968 4096 4247 4384 4712 4864 5206 6448 6656 7124 7352 7657 7904 7936 8494 8768 9424 9728 10412 11947 12896 13312 14248 14704 15314 15808 15872 16988 17461 17536 18848 19456 20824 23894 25792 26624 28489 28496 29408 30628 31616 31744 33839 33976 34922 35072 37696 38912 41648 47788 51584 53248 55211 56978 56992 58816 61256 63232 63488 67678 67952 69844 70144 75392 77824 80693 83296 95576 103168 110422 113956 113984 117632 122512 125903 126464 126976 135356 135904 139688 140288 150784 161386 166592 191152 206336 220844 226993 227912 227968 235264 245024 251806 252928 270712 271808 279376 280576 301568 322772 333184 370357 382304 412672 441688 453986 455824 455936 470528 490048 503612 505856 541291 541424 543616 558752 561152 603136 645544 666368 740714 764608 825344 883376 907972 911648 911872 941056 980096 1007224 1011712 1049009 1082582 1082848 1087232 1117504 1206272 1291088 1332736 1481428 1529216 1636739 1650688 1766752 1815944 1823296 1823744 1882112 1960192 2014448 2098018 2165164 2165696 2174464 2235008 2392157 2412544 2582176 2665472 2962856 3058432 3273478 3533504 3631888 3646592 3647488 3764224 3902993 3920384 4028896 4196036 4330328 4331392 4348928 4470016 4784314 5164352 5330944 5925712 6116864 6546956 7036783 7067008 7263776 7293184 7294976 7805986 7840768 8057792 8392072 8660656 8662784 8697856 8940032 9568628 10328704 10661888 11851424 12233728 13093912 14073566 14134016 14527552 14586368 15611972 15681536 16115584 16784144 17321312 17325568 17395712 17880064 19137256 20657408 23702848 24467456 26187824 28147132 28268032 29055104 29172736 31098041 31223944 31363072 32231168 33568288 34642624 34651136 35760128 38274512 41314816 47405696 48934912 50738909 52375648 56294264 56536064 58110208 58345472 62196082 62447888 64462336 67136576 69285248 69302272 71520256 74156867 76549024 82629632 94811392 101477818 104751296 112588528 113072128 116220416 116690944 124392164 124895776 128924672 134273152 138570496 138604544 148313734 153098048 165259264 189622784 202955636 209502592 225177056 226144256 232440832 248784328 249791552 257849344 268546304 277140992 296627468 306196096 330518528 379245568 405911272 419005184 450354112 464881664 497568656 499583104 515698688 537092608 554281984 593254936 612392192 758491136 811822544 838010368 900708224 929763328 964039271 995137312 999166208 1074185216 1108563968 1186509872 1224784384 1516982272 1623645088 1676020736 1801416448 1928078542 1990274624 1998332416 2148370432 2217127936 2373019744 2449568768 3247290176 3352041472 3602832896 3856157084 3980549248 3996664832 4296740864 4746039488 4899137536 6494580352 6704082944 7205665792 7712314168 7961098496 7993329664 9492078976 9798275072 12989160704 14411331584 15424628336 15922196992 15986659328 18984157952 25978321408 28822663168 30849256672 31844393984 37968315904 51956642816 61698513344 63688787968 75936631808 103913285632 123397026688 127377575936 151873263616 207826571264 246794053376 303746527232 493588106752 987176213504 1974352427008 3948704854016
- Sum of all divisors σ(n): 9317767065600
- Sum of proper divisors (its aliquot sum) s(n): 5369062211584
- 3948704854016 is an abundant number, because the sum of its proper divisors (5369062211584) is greater than itself. Its abundance is 1420357357568
Bases of 3948704854016
- Binary: 1110010111011000010010011001110000000000002
- Hexadecimal: 0x39761267000
- Base-36: 1EE0CX14W
Squares and roots of 3948704854016
- 3948704854016 squared (39487048540162) is 15592270024129519871328256
- 3948704854016 cubed (39487048540163) is 61569272329408408560989412212495876096
-
The
square root of 3948704854016 is 1987134.8353888821 -
The
cube root of 3948704854016 is 15805.8634089397
Scales and comparisons
How big is 3948704854016?- 3,948,704,854,016 seconds is equal to 125,556 years, 31 weeks, 1 day, 11 hours, 26 minutes, 56 seconds.
-
To count from 1 to 3,948,704,854,016 would take you about three hundred thirteen thousand, eight hundred ninety-one 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 3948704854016 cubic inches would be around 1317.2 feet tall.
Recreational maths with 3948704854016
- 3948704854016 backwards is 6104584078493
- The number of decimal digits it has is: 13
- The sum of 3948704854016's digits is 59
- More coming soon!
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