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22142521044 = 2233729289049
BaseRepresentation
bin10100100111110011…
…000000111011010100
32010011011001121121000
4110213303000323110
5330321441133134
614101103023300
71412466215640
oct244763007324
963134047530
1022142521044
11943296a876
12435b59ab30
13211b532977
141100a7dc20
15898dd1e99
hex527cc0ed4

22142521044 has 48 divisors (see below), whose sum is σ = 65607472000. Its totient is φ = 6326434368.

The previous prime is 22142521021. The next prime is 22142521067. The reversal of 22142521044 is 44012524122.

It is a happy number.

22142521044 is a `hidden beast` number, since 2 + 21 + 425 + 210 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22142521021) and next prime (22142521067).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22142520999 and 22142521017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14643769 + ... + 14645280.

Almost surely, 222142521044 is an apocalyptic number.

It is an amenable number.

22142521044 is an abundant number, since it is smaller than the sum of its proper divisors (43464950956).

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

22142521044 is a wasteful number, since it uses less digits than its factorization.

22142521044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29289069 (or 29289061 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 22142521044 in words is "twenty-two billion, one hundred forty-two million, five hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 29289049 58578098 87867147 117156196 175734294 205023343 263601441 351468588 410046686 527202882 615070029 790804323 820093372 1054405764 1230140058 1581608646 1845210087 2460280116 3163217292 3690420174 5535630261 7380840348 11071260522 22142521044