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34016314431 = 3112777371191
BaseRepresentation
bin11111101011100001…
…111100010000111111
310020210122200211000110
4133223201330100333
51024131134030211
623343223401103
72312645621241
oct375341742077
9106718624013
1034016314431
1113476360560
126713bb3193
1332914a9508
141909a08091
15d41522ea6
hex7eb87c43f

34016314431 has 16 divisors (see below), whose sum is σ = 49496226048. Its totient is φ = 20608468800.

The previous prime is 34016314421. The next prime is 34016314433. The reversal of 34016314431 is 13441361043.

It is not a de Polignac number, because 34016314431 - 222 = 34012120127 is a prime.

It is a super-2 number, since 2×340163144312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34016314433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93955 + ... + 277236.

It is an arithmetic number, because the mean of its divisors is an integer number (3093514128).

Almost surely, 234016314431 is an apocalyptic number.

34016314431 is a deficient number, since it is larger than the sum of its proper divisors (15479911617).

34016314431 is a wasteful number, since it uses less digits than its factorization.

34016314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373982.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 34016314431 its reverse (13441361043), we get a palindrome (47457675474).

The spelling of 34016314431 in words is "thirty-four billion, sixteen million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 2777 8331 30547 91641 371191 1113573 4083101 12249303 1030797407 3092392221 11338771477 34016314431