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10014665444 = 2273114877759
BaseRepresentation
bin10010101001110101…
…11010101011100100
3221211221100201022222
421110322322223210
5131002223243234
64333425011512
7503113152230
oct112472725344
927757321288
1010014665444
11427a021413
121b35a83b98
13c37a53754
146b009d5c0
153d930842e
hex254ebaae4

10014665444 has 48 divisors (see below), whose sum is σ = 20692008960. Its totient is φ = 4150219680.

The previous prime is 10014665417. The next prime is 10014665477. The reversal of 10014665444 is 44456641001.

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, 1286837 + ... + 1294595.

It is an arithmetic number, because the mean of its divisors is an integer number (431083520).

Almost surely, 210014665444 is an apocalyptic number.

10014665444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014665444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346004480).

10014665444 is an abundant number, since it is smaller than the sum of its proper divisors (10677343516).

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

10014665444 is a wasteful number, since it uses less digits than its factorization.

10014665444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9286 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10014665444 in words is "ten billion, fourteen million, six hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1487 2974 5948 7759 10409 15518 20818 31036 41636 46097 54313 92194 108626 184388 217252 240529 322679 481058 645358 962116 1290716 1683703 3367406 6734812 11537633 23075266 46150532 80763431 161526862 323053724 357666623 715333246 1430666492 2503666361 5007332722 10014665444