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146991144 = 23319322349
BaseRepresentation
bin10001100001011…
…10100000101000
3101020120220221110
420300232200220
5300112204034
622330310320
73433255416
oct1060564050
9336526843
10146991144
1175a77693
12412883a0
13245b7511
14157442b6
15cd87de9
hex8c2e828

146991144 has 32 divisors (see below), whose sum is σ = 386820000. Its totient is φ = 46418112.

The previous prime is 146991133. The next prime is 146991179. The reversal of 146991144 is 441199641.

146991144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1469911443 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160719 + ... + 161630.

It is an arithmetic number, because the mean of its divisors is an integer number (12088125).

Almost surely, 2146991144 is an apocalyptic number.

It is an amenable number.

146991144 is an abundant number, since it is smaller than the sum of its proper divisors (239828856).

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

146991144 is a wasteful number, since it uses less digits than its factorization.

146991144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322377 (or 322373 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 146991144 is about 12123.9904321968. The cubic root of 146991144 is about 527.7526102307.

The spelling of 146991144 in words is "one hundred forty-six million, nine hundred ninety-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 322349 644698 967047 1289396 1934094 2578792 3868188 6124631 7736376 12249262 18373893 24498524 36747786 48997048 73495572 146991144