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12432044313 = 32134113718917
BaseRepresentation
bin10111001010000000…
…11111000100011001
31012002102002021201200
423211000133010121
5200430100404223
65413341504413
7620035430103
oct134500370431
935072067650
1012432044313
1152aa623997
1224ab572109
131231815750
1485d164573
154cb663a43
hex2e501f119

12432044313 has 48 divisors (see below), whose sum is σ = 19956068496. Its totient is φ = 7409018880.

The previous prime is 12432044279. The next prime is 12432044329. The reversal of 12432044313 is 31344023421.

12432044313 is a `hidden beast` number, since 1 + 24 + 3 + 204 + 431 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 872139024 + 11559905289 = 29532^2 + 107517^2 .

It is not a de Polignac number, because 12432044313 - 210 = 12432043289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12432044353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 647731 + ... + 666647.

It is an arithmetic number, because the mean of its divisors is an integer number (415751427).

Almost surely, 212432044313 is an apocalyptic number.

12432044313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12432044313 is a deficient number, since it is larger than the sum of its proper divisors (7524024183).

12432044313 is a wasteful number, since it uses less digits than its factorization.

12432044313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 19111 counting only the distinct ones).

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

Adding to 12432044313 its reverse (31344023421), we get a palindrome (43776067734).

The spelling of 12432044313 in words is "twelve billion, four hundred thirty-two million, forty-four thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 41 117 123 137 369 411 533 1233 1599 1781 4797 5343 5617 16029 16851 18917 50553 56751 73021 170253 219063 245921 657189 737763 775597 2213289 2326791 2591629 6980373 7774887 10082761 23324661 30248283 33691177 90744849 101073531 106256789 303220593 318770367 956311101 1381338257 4144014771 12432044313