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10444014675 = 3252347133769
BaseRepresentation
bin10011011101000001…
…10000010001010011
3222221212020220202100
421232200300101103
5132342131432200
64444203251443
7516545442243
oct115640602123
928855226670
1010444014675
11447a412896
122035819b83
13ca599ca53
14711103b23
15411d67d00
hex26e830453

10444014675 has 36 divisors (see below), whose sum is σ = 18760439880. Its totient is φ = 5554047360.

The previous prime is 10444014661. The next prime is 10444014683. The reversal of 10444014675 is 57641044401.

It is a happy number.

10444014675 is a `hidden beast` number, since 1 + 0 + 4 + 440 + 146 + 75 = 666.

It is not a de Polignac number, because 10444014675 - 211 = 10444012627 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11191 + ... + 144959.

It is an arithmetic number, because the mean of its divisors is an integer number (521123330).

Almost surely, 210444014675 is an apocalyptic number.

10444014675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10444014675 is a deficient number, since it is larger than the sum of its proper divisors (8316425205).

10444014675 is a wasteful number, since it uses less digits than its factorization.

10444014675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134132 (or 134124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

It can be divided in two parts, 1044401 and 4675, that added together give a triangular number (1049076 = T1448).

The spelling of 10444014675 in words is "ten billion, four hundred forty-four million, fourteen thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 347 1041 1735 3123 5205 8675 15615 26025 78075 133769 401307 668845 1203921 2006535 3344225 6019605 10032675 30098025 46417843 139253529 232089215 417760587 696267645 1160446075 2088802935 3481338225 10444014675