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4412312132144 = 247311270827227
BaseRepresentation
bin100000000110101001001…
…0011000001101000110000
3120121210221121201012002012
41000031102103001220300
51034242403401212034
613214553241542052
7633531131210120
oct100152223015060
916553847635065
104412312132144
111451284196094
125b31764a4928
13260105156567
141137b2770c80
1579b9372ccce
hex403524c1a30

4412312132144 has 40 divisors (see below), whose sum is σ = 10085284881408. Its totient is φ = 1829991205440.

The previous prime is 4412312132117. The next prime is 4412312132171.

4412312132144 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4412312132117) and next prime (4412312132171).

It is a self number, because there is not a number n which added to its sum of digits gives 4412312132144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635410142 + ... + 635417085.

Almost surely, 24412312132144 is an apocalyptic number.

It is an amenable number.

4412312132144 is an abundant number, since it is smaller than the sum of its proper divisors (5672972749264).

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

4412312132144 is a wasteful number, since it uses less digits than its factorization.

4412312132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270827273 (or 1270827267 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 4412312132144 in words is "four trillion, four hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 1270827227 2541654454 5083308908 8895790589 10166617816 17791581178 20333235632 35583162356 39395644037 71166324712 78791288074 142332649424 157582576148 275769508259 315165152296 551539016518 630330304592 1103078033036 2206156066072 4412312132144