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230431430404 = 227166721532293
BaseRepresentation
bin1101011010011011001…
…0001001011100000100
3211000210011101112010101
43112212302021130010
512233410421233104
6253505253133444
722435206561310
oct3264662113404
9730704345111
10230431430404
11897a859828a
12387ab02a284
1318963bab926
14b21d952b40
155ed9dbe5a4
hex35a6c89704

230431430404 has 48 divisors (see below), whose sum is σ = 461554708608. Its totient is φ = 98608220928.

The previous prime is 230431430381. The next prime is 230431430407. The reversal of 230431430404 is 404034134032.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230431430407) 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 15 ways as a sum of consecutive naturals, for example, 100492282 + ... + 100494574.

It is an arithmetic number, because the mean of its divisors is an integer number (9615723096).

Almost surely, 2230431430404 is an apocalyptic number.

It is an amenable number.

230431430404 is an abundant number, since it is smaller than the sum of its proper divisors (231123278204).

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

230431430404 is a wasteful number, since it uses less digits than its factorization.

230431430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 230431430404 its reverse (404034134032), we get a palindrome (634465564436).

The spelling of 230431430404 in words is "two hundred thirty billion, four hundred thirty-one million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 1667 2153 2293 3334 4306 4586 6668 8612 9172 11669 15071 16051 23338 30142 32102 46676 60284 64204 3589051 3822431 4936829 7178102 7644862 9873658 14356204 15289724 19747316 25123357 26757017 34557803 50246714 53514034 69115606 100493428 107028068 138231212 8229693943 16459387886 32918775772 57607857601 115215715202 230431430404