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34131424512 = 28344441959
BaseRepresentation
bin11111110010011001…
…000011010100000000
310021002200022000100210
4133302121003110000
51024400121041022
623402454514120
72315544215163
oct376231032400
9107080260323
1034131424512
1113525332459
126746665940
1332ac2b07a3
14191b00dada
15d4b6aea0c
hex7f2643500

34131424512 has 36 divisors (see below), whose sum is σ = 90839366240. Its totient is φ = 11377141248.

The previous prime is 34131424507. The next prime is 34131424513. The reversal of 34131424512 is 21542413143.

It is a self number, because there is not a number n which added to its sum of digits gives 34131424512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131424513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22220212 + ... + 22221747.

Almost surely, 234131424512 is an apocalyptic number.

34131424512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34131424512 is an abundant number, since it is smaller than the sum of its proper divisors (56707941728).

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

34131424512 is an equidigital number, since it uses as much as digits as its factorization.

34131424512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44441978 (or 44441964 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 34131424512 its reverse (21542413143), we get a palindrome (55673837655).

The spelling of 34131424512 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 44441959 88883918 133325877 177767836 266651754 355535672 533303508 711071344 1066607016 1422142688 2133214032 2844285376 4266428064 5688570752 8532856128 11377141504 17065712256 34131424512