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112412520444 = 22376127298039
BaseRepresentation
bin110100010110001001…
…1101110111111111100
3101202011012222201021010
41220230103232333330
53320210101123234
6123350330235220
711056454441520
oct1505423567774
9352135881233
10112412520444
1143745a34464
1219952885b10
13a7a627a6b3
145625781d80
152dcdce36e9
hex1a2c4eeffc

112412520444 has 96 divisors (see below), whose sum is σ = 304830489600. Its totient is φ = 31575836160.

The previous prime is 112412520427. The next prime is 112412520481. The reversal of 112412520444 is 444025214211.

112412520444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13979377 + ... + 13987415.

It is an arithmetic number, because the mean of its divisors is an integer number (3175317600).

Almost surely, 2112412520444 is an apocalyptic number.

112412520444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112412520444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152415244800).

112412520444 is an abundant number, since it is smaller than the sum of its proper divisors (192417969156).

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

112412520444 is a wasteful number, since it uses less digits than its factorization.

112412520444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 112412520444 its reverse (444025214211), we get a palindrome (556437734655).

The spelling of 112412520444 in words is "one hundred twelve billion, four hundred twelve million, five hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 2729 5124 5458 8039 8187 10916 16078 16374 19103 24117 32156 32748 38206 48234 56273 57309 76412 96468 112546 114618 166469 168819 225092 229236 332938 337638 490379 499407 665876 675276 980758 998814 1165283 1471137 1961516 1997628 2330566 2942274 3432653 3495849 4661132 5884548 6865306 6991698 10297959 13730612 13983396 20595918 21938431 41191836 43876862 65815293 87753724 131630586 153569017 263261172 307138034 460707051 614276068 921414102 1338244291 1842828204 2676488582 4014732873 5352977164 8029465746 9367710037 16058931492 18735420074 28103130111 37470840148 56206260222 112412520444