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34025205431 = 78973374509
BaseRepresentation
bin11111101100000011…
…110110111010110111
310020211021102112011202
4133230003312322313
51024140423033211
623344142123115
72313114321440
oct375403667267
9106737375152
1034025205431
1113480383498
126716b8049b
1332932a0369
14190ac802c7
15d421cc53b
hex7ec0f6eb7

34025205431 has 16 divisors (see below), whose sum is σ = 39377044800. Its totient is φ = 28797043968.

The previous prime is 34025205359. The next prime is 34025205443. The reversal of 34025205431 is 13450252043.

It is a happy number.

It is not a de Polignac number, because 34025205431 - 230 = 32951463607 is a prime.

It is a super-2 number, since 2×340252054312 (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 = 34025205394 and 34025205403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025205931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419405 + ... + 493913.

It is an arithmetic number, because the mean of its divisors is an integer number (2461065300).

Almost surely, 234025205431 is an apocalyptic number.

34025205431 is a deficient number, since it is larger than the sum of its proper divisors (5351839369).

34025205431 is an equidigital number, since it uses as much as digits as its factorization.

34025205431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75338.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 34025205431 its reverse (13450252043), we get a palindrome (47475457474).

The spelling of 34025205431 in words is "thirty-four billion, twenty-five million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 7 89 623 733 5131 65237 74509 456659 521563 6631301 46419107 54615097 382305679 4860743633 34025205431