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34444100656 = 2471741441229
BaseRepresentation
bin100000000101000001…
…110100010000110000
310021220110122121101201
4200011001310100300
51031020142210111
623453504340544
72326362011350
oct400501642060
9107813577351
1034444100656
1113675884699
126813314754
13332bcc9264
14194a762b60
15d68d746c1
hex805074430

34444100656 has 80 divisors (see below), whose sum is σ = 82725330240. Its totient is φ = 13554524160.

The previous prime is 34444100653. The next prime is 34444100687. The reversal of 34444100656 is 65600144443.

It is not an unprimeable number, because it can be changed into a prime (34444100653) 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, 142551 + ... + 298678.

It is an arithmetic number, because the mean of its divisors is an integer number (1034066628).

Almost surely, 234444100656 is an apocalyptic number.

It is an amenable number.

34444100656 is an abundant number, since it is smaller than the sum of its proper divisors (48281229584).

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

34444100656 is a wasteful number, since it uses less digits than its factorization.

34444100656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441302 (or 441296 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 34444100656 in words is "thirty-four billion, four hundred forty-four million, one hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 41 56 68 82 112 119 136 164 238 272 287 328 476 574 656 697 952 1148 1394 1904 2296 2788 4592 4879 5576 9758 11152 19516 39032 78064 441229 882458 1764916 3088603 3529832 6177206 7059664 7500893 12354412 15001786 18090389 24708824 30003572 36180778 49417648 52506251 60007144 72361556 105012502 120014288 126632723 144723112 210025004 253265446 289446224 307536613 420050008 506530892 615073226 840100016 1013061784 1230146452 2026123568 2152756291 2460292904 4305512582 4920585808 8611025164 17222050328 34444100656