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34043414112 = 2532118206299
BaseRepresentation
bin11111101101001001…
…010100011001100000
310020212112200121210100
4133231021110121200
51024210103222422
623350032302400
72313425150121
oct375511243140
9106775617710
1034043414112
111348a68a994
1267210a1a00
133296ca7326
14190d460048
15d43ac77ac
hex7ed254660

34043414112 has 36 divisors (see below), whose sum is σ = 96810959700. Its totient is φ = 11347804608.

The previous prime is 34043414089. The next prime is 34043414117. The reversal of 34043414112 is 21141434043.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×340434141122 (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 (34043414117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59102862 + ... + 59103437.

It is an arithmetic number, because the mean of its divisors is an integer number (2689193325).

Almost surely, 234043414112 is an apocalyptic number.

34043414112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34043414112 is an abundant number, since it is smaller than the sum of its proper divisors (62767545588).

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

34043414112 is a wasteful number, since it uses less digits than its factorization.

34043414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118206315 (or 118206304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34043414112 its reverse (21141434043), we get a palindrome (55184848155).

The spelling of 34043414112 in words is "thirty-four billion, forty-three million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 118206299 236412598 354618897 472825196 709237794 945650392 1063856691 1418475588 1891300784 2127713382 2836951176 3782601568 4255426764 5673902352 8510853528 11347804704 17021707056 34043414112