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34444134004 = 22710314518231
BaseRepresentation
bin100000000101000001…
…111100011001110100
310021220110201022010211
4200011001330121310
51031020144242004
623453505155204
72326362210520
oct400501743164
9107813638124
1034444134004
11136758a7755
12681332bb04
13332c00b4a7
14194a770d80
15d68d7e504
hex80507c674

34444134004 has 48 divisors (see below), whose sum is σ = 69613479936. Its totient is φ = 14606604000.

The previous prime is 34444133947. The next prime is 34444134031. The reversal of 34444134004 is 40043144443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4180569 + ... + 4188799.

It is an arithmetic number, because the mean of its divisors is an integer number (1450280832).

Almost surely, 234444134004 is an apocalyptic number.

It is an amenable number.

34444134004 is an abundant number, since it is smaller than the sum of its proper divisors (35169345932).

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

34444134004 is a wasteful number, since it uses less digits than its factorization.

34444134004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 9794 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 34444134004 its reverse (40043144443), we get a palindrome (74487278447).

The spelling of 34444134004 in words is "thirty-four billion, four hundred forty-four million, one hundred thirty-four thousand, four".

Divisors: 1 2 4 7 14 28 103 206 412 721 1442 1451 2884 2902 5804 8231 10157 16462 20314 32924 40628 57617 115234 149453 230468 298906 597812 847793 1046171 1695586 2092342 3391172 4184684 5934551 11869102 11943181 23738204 23886362 47772724 83602267 167204534 334409068 1230147643 2460295286 4920590572 8611033501 17222067002 34444134004