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146361042 = 23273311093
BaseRepresentation
bin10001011100101…
…00101011010010
3101012101220121100
420232110223102
5244432023132
622305005230
73425022402
oct1056245322
9335356540
10146361042
1175687243
1241023816
1324426789
141561c802
15ccb137c
hex8b94ad2

146361042 has 24 divisors (see below), whose sum is σ = 317576844. Its totient is φ = 48716064.

The previous prime is 146361001. The next prime is 146361053. The reversal of 146361042 is 240163641.

146361042 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 610 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112593321 + 33767721 = 10611^2 + 5811^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146360997 and 146361015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7648 + ... + 18740.

Almost surely, 2146361042 is an apocalyptic number.

146361042 is an abundant number, since it is smaller than the sum of its proper divisors (171215802).

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

146361042 is a wasteful number, since it uses less digits than its factorization.

146361042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 146361042 is about 12097.9767729980. The cubic root of 146361042 is about 526.9974303362.

The spelling of 146361042 in words is "one hundred forty-six million, three hundred sixty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 733 1466 2199 4398 6597 11093 13194 22186 33279 66558 99837 199674 8131169 16262338 24393507 48787014 73180521 146361042