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712144431 = 32318213109
BaseRepresentation
bin101010011100100…
…111011000101111
31211122000200111200
4222130213120233
52424302110211
6154355420543
723435061555
oct5234473057
91748020450
10712144431
11335a94719
1217a5b4753
13b470204b
146a819bd5
15427c0b56
hex2a72762f

712144431 has 24 divisors (see below), whose sum is σ = 1063470720. Its totient is φ = 458740800.

The previous prime is 712144409. The next prime is 712144451. The reversal of 712144431 is 134441217.

712144431 is a `hidden beast` number, since 7 + 1 + 214 + 443 + 1 = 666.

It is not a de Polignac number, because 712144431 - 29 = 712143919 is a prime.

It is a super-2 number, since 2×7121444312 = 1014299381208627522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 712144395 and 712144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712144451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227505 + ... + 230613.

It is an arithmetic number, because the mean of its divisors is an integer number (44311280).

Almost surely, 2712144431 is an apocalyptic number.

712144431 is a deficient number, since it is larger than the sum of its proper divisors (351326289).

712144431 is a wasteful number, since it uses less digits than its factorization.

712144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3964 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 712144431 is about 26686.0343813014. The cubic root of 712144431 is about 893.0093940234.

Adding to 712144431 its reverse (134441217), we get a palindrome (846585648).

The spelling of 712144431 in words is "seven hundred twelve million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 31 93 279 821 2463 3109 7389 9327 25451 27981 76353 96379 229059 289137 867411 2552489 7657467 22972401 79127159 237381477 712144431