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12433014432 = 253314390063
BaseRepresentation
bin10111001010001000…
…01011111010100000
31012002110220120111000
423211010023322200
5200430322430212
65413414352000
7620046610326
oct134504137240
935073816430
1012433014432
115300126843
1224ab95b600
131231a95197
1485d337d16
154cb7a61dc
hex2e510bea0

12433014432 has 48 divisors (see below), whose sum is σ = 36262961280. Its totient is φ = 4144337856.

The previous prime is 12433014431. The next prime is 12433014437. The reversal of 12433014432 is 23441033421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12433014396 and 12433014405.

It is not an unprimeable number, because it can be changed into a prime (12433014431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7194168 + ... + 7195895.

It is an arithmetic number, because the mean of its divisors is an integer number (755478360).

Almost surely, 212433014432 is an apocalyptic number.

12433014432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12433014432 is an abundant number, since it is smaller than the sum of its proper divisors (23829946848).

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

12433014432 is a wasteful number, since it uses less digits than its factorization.

12433014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390082 (or 14390068 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12433014432 its reverse (23441033421), we get a palindrome (35874047853).

The spelling of 12433014432 in words is "twelve billion, four hundred thirty-three million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14390063 28780126 43170189 57560252 86340378 115120504 129510567 172680756 230241008 259021134 345361512 388531701 460482016 518042268 690723024 777063402 1036084536 1381446048 1554126804 2072169072 3108253608 4144338144 6216507216 12433014432