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34056045431 = 59719802811
BaseRepresentation
bin11111101101111001…
…100000001101110111
310020220102110100200222
4133231321200031313
51024221321423211
623351203124555
72313640416122
oct375571401567
9106812410628
1034056045431
1113496827aa1
12672537375b
1332997aa795
141910dcb3b9
15d44c701db
hex7ede60377

34056045431 has 8 divisors (see below), whose sum is σ = 34681478400. Its totient is φ = 33432219640.

The previous prime is 34056045409. The next prime is 34056045487. The reversal of 34056045431 is 13454065043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34056045431 - 26 = 34056045367 is a prime.

It is a super-2 number, since 2×340560454312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34056045391 and 34056045400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056045631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358985 + ... + 443826.

It is an arithmetic number, because the mean of its divisors is an integer number (4335184800).

Almost surely, 234056045431 is an apocalyptic number.

34056045431 is a deficient number, since it is larger than the sum of its proper divisors (625432969).

34056045431 is an equidigital number, since it uses as much as digits as its factorization.

34056045431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803589.

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 34056045431 in words is "thirty-four billion, fifty-six million, forty-five thousand, four hundred thirty-one".

Divisors: 1 59 719 42421 802811 47365849 577221109 34056045431