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430431412313 = 72231273007297
BaseRepresentation
bin1100100001101111011…
…01100010000001011001
31112011000111122021210202
412100313231202001121
524023010420143223
6525423142551545
743045330431500
oct6206755420131
91464014567722
10430431412313
111565aa346931
126b5067385b5
13317881c27a6
1416b93a2b837
15b2e333d428
hex6437b62059

430431412313 has 24 divisors (see below), whose sum is σ = 526589908992. Its totient is φ = 350121429504.

The previous prime is 430431412309. The next prime is 430431412337. The reversal of 430431412313 is 313214134034.

It is a happy number.

It is not a de Polignac number, because 430431412313 - 22 = 430431412309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430431412343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360520 + ... + 1646777.

It is an arithmetic number, because the mean of its divisors is an integer number (21941246208).

Almost surely, 2430431412313 is an apocalyptic number.

It is an amenable number.

430431412313 is a deficient number, since it is larger than the sum of its proper divisors (96158496679).

430431412313 is a wasteful number, since it uses less digits than its factorization.

430431412313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007461 (or 3007454 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 430431412313 its reverse (313214134034), we get a palindrome (743645546347).

The spelling of 430431412313 in words is "four hundred thirty billion, four hundred thirty-one million, four hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 23 49 127 161 889 1127 2921 6223 20447 143129 3007297 21051079 69167831 147357553 381926719 484174817 2673487033 3389223719 8784314537 18714409231 61490201759 430431412313