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434114030031 = 31143541565489
BaseRepresentation
bin1100101000100110011…
…01100110100111001111
31112111112011010122121120
412110103031212213033
524103031142430111
6531232414132023
743235515241343
oct6242315464717
91474464118546
10434114030031
1115811a064050
1270173ab1013
1331c2413b626
1417022b65623
15b45b7be406
hex65133669cf

434114030031 has 32 divisors (see below), whose sum is σ = 647318664960. Its totient is φ = 256505356800.

The previous prime is 434114030003. The next prime is 434114030039. The reversal of 434114030031 is 130030411434.

It is not a de Polignac number, because 434114030031 - 29 = 434114029519 is a prime.

It is a super-2 number, since 2×4341140300312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434114029983 and 434114030010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434114030039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484935 + ... + 1050423.

It is an arithmetic number, because the mean of its divisors is an integer number (20228708280).

Almost surely, 2434114030031 is an apocalyptic number.

434114030031 is a deficient number, since it is larger than the sum of its proper divisors (213204634929).

434114030031 is a wasteful number, since it uses less digits than its factorization.

434114030031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566087.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434114030031 its reverse (130030411434), we get a palindrome (564144441465).

The spelling of 434114030031 in words is "four hundred thirty-four billion, one hundred fourteen million, thirty thousand, thirty-one".

Divisors: 1 3 11 33 43 129 473 541 1419 1623 5951 17853 23263 69789 255893 565489 767679 1696467 6220379 18661137 24316027 72948081 267476297 305929549 802428891 917788647 3365225039 10095675117 13154970607 39464911821 144704676677 434114030031