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12440924532 = 2232345581237
BaseRepresentation
bin10111001011000100…
…10111000101110100
31012010000210110002200
423211202113011310
5200434334041112
65414300104500
7620204054001
oct134542270564
935100713080
1012440924532
115304639813
1224b2535130
13123360470a
148603d68a8
154cc319cdc
hex2e5897174

12440924532 has 18 divisors (see below), whose sum is σ = 31447892658. Its totient is φ = 4146974832.

The previous prime is 12440924527. The next prime is 12440924567. The reversal of 12440924532 is 23542904421.

It is a happy number.

12440924532 is a `hidden beast` number, since 1 + 2 + 4 + 409 + 245 + 3 + 2 = 666.

12440924532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9628319376 + 2812605156 = 98124^2 + 53034^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 345581237 = 12440924532 / (1 + 2 + 4 + 4 + 0 + 9 + 2 + 4 + 5 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172790583 + ... + 172790654.

Almost surely, 212440924532 is an apocalyptic number.

12440924532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12440924532 is an abundant number, since it is smaller than the sum of its proper divisors (19006968126).

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

12440924532 is a wasteful number, since it uses less digits than its factorization.

12440924532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345581247 (or 345581242 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12440924532 in words is "twelve billion, four hundred forty million, nine hundred twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 345581237 691162474 1036743711 1382324948 2073487422 3110231133 4146974844 6220462266 12440924532