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14379847056 = 243433312
BaseRepresentation
bin11010110010001101…
…10000110110010000
31101010011012220210000
431121012300312100
5213422220101211
610334522010000
71016226453231
oct153106606620
941104186700
1014379847056
11610a059a23
122953946900
131482215553
149a5b13088
15592665656
hex3591b0d90

14379847056 has 75 divisors (see below), whose sum is σ = 41631947643. Its totient is φ = 4791843360.

The previous prime is 14379847051. The next prime is 14379847063. The reversal of 14379847056 is 65074897341.

The square root of 14379847056 is 119916.

It is a perfect power (a square), and thus also a powerful number.

14379847056 is a `hidden beast` number, since 1 + 4 + 37 + 98 + 470 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14379846993 and 14379847011.

It is not an unprimeable number, because it can be changed into a prime (14379847051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4315311 + ... + 4318641.

Almost surely, 214379847056 is an apocalyptic number.

14379847056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14379847056 is the 119916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14379847056

14379847056 is an abundant number, since it is smaller than the sum of its proper divisors (27252100587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14379847056 is an frugal number, since it uses more digits than its factorization.

14379847056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 14379847056 in words is "fourteen billion, three hundred seventy-nine million, eight hundred forty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3331 6662 9993 13324 19986 26648 29979 39972 53296 59958 79944 89937 119916 159888 179874 239832 269811 359748 479664 539622 719496 1079244 1438992 2158488 4316976 11095561 22191122 33286683 44382244 66573366 88764488 99860049 133146732 177528976 199720098 266293464 299580147 399440196 532586928 599160294 798880392 898740441 1198320588 1597760784 1797480882 2396641176 3594961764 4793282352 7189923528 14379847056