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34034418149 = 175376949121
BaseRepresentation
bin11111101100100111…
…000000000111100101
310020211220202120122112
4133230213000013211
51024200302340044
623345111410405
72313255531614
oct375447000745
9106756676575
1034034418149
11134855a6106
12671a083a05
133295177784
14190c19b87b
15d42dec09e
hex7ec9c01e5

34034418149 has 16 divisors (see below), whose sum is σ = 36764869680. Its totient is φ = 31386501120.

The previous prime is 34034418091. The next prime is 34034418157. The reversal of 34034418149 is 94181443043.

It can be written as a sum of positive squares in 8 ways, for example, as 125037124 + 33909381025 = 11182^2 + 184145^2 .

It is a cyclic number.

It is not a de Polignac number, because 34034418149 - 224 = 34017640933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034414149) 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, 668309 + ... + 717429.

It is an arithmetic number, because the mean of its divisors is an integer number (2297804355).

Almost surely, 234034418149 is an apocalyptic number.

It is an amenable number.

34034418149 is a deficient number, since it is larger than the sum of its proper divisors (2730451531).

34034418149 is a wasteful number, since it uses less digits than its factorization.

34034418149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49960.

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 34034418149 in words is "thirty-four billion, thirty-four million, four hundred eighteen thousand, one hundred forty-nine".

Divisors: 1 17 53 769 901 13073 40757 49121 692869 835057 2603413 37774049 44258021 642158833 2002024597 34034418149