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34444107100 = 22521326495467
BaseRepresentation
bin100000000101000001…
…110101110101011100
310021220110122221020101
4200011001311311130
51031020142411400
623453504430444
72326362036214
oct400501656534
9107813587211
1034444107100
1113675889517
126813318424
13332bccc180
14194a765244
15d68d7656a
hex805075d5c

34444107100 has 36 divisors (see below), whose sum is σ = 80493231784. Its totient is φ = 12717823680.

The previous prime is 34444107077. The next prime is 34444107109. The reversal of 34444107100 is 170144443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444107109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13246434 + ... + 13249033.

Almost surely, 234444107100 is an apocalyptic number.

It is an amenable number.

34444107100 is an abundant number, since it is smaller than the sum of its proper divisors (46049124684).

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

34444107100 is a wasteful number, since it uses less digits than its factorization.

34444107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26495494 (or 26495487 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 34444107100 in words is "thirty-four billion, four hundred forty-four million, one hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 26495467 52990934 105981868 132477335 264954670 344441071 529909340 662386675 688882142 1324773350 1377764284 1722205355 2649546700 3444410710 6888821420 8611026775 17222053550 34444107100