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34100044144 = 243168750089
BaseRepresentation
bin11111110000100001…
…010110000101110000
310021000111020201120221
4133300201112011300
51024314102403034
623355414142424
72315013410215
oct376041260560
9107014221527
1034100044144
1113509649971
126738051a14
1332a594441a
141916ba1b0c
15d48a61bb4
hex7f0856170

34100044144 has 20 divisors (see below), whose sum is σ = 68200089280. Its totient is φ = 16500021120.

The previous prime is 34100044123. The next prime is 34100044171. The reversal of 34100044144 is 44144000143.

It is a happy number.

34100044144 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34374549 + ... + 34375540.

It is an arithmetic number, because the mean of its divisors is an integer number (3410004464).

Almost surely, 234100044144 is an apocalyptic number.

It is an amenable number.

34100044144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

34100044144 is a wasteful number, since it uses less digits than its factorization.

34100044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68750128 (or 68750122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34100044144 its reverse (44144000143), we get a palindrome (78244044287).

The spelling of 34100044144 in words is "thirty-four billion, one hundred million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 68750089 137500178 275000356 550000712 1100001424 2131252759 4262505518 8525011036 17050022072 34100044144