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149106144 = 25311141199
BaseRepresentation
bin10001110001100…
…10110111100000
3101101120101011210
420320302313200
5301132344034
622443510120
73460244535
oct1070626740
9341511153
10149106144
1177191720
1241b28340
1324b780b5
1415b34d8c
15d1548e9
hex8e32de0

149106144 has 48 divisors (see below), whose sum is σ = 426988800. Its totient is φ = 45183360.

The previous prime is 149106131. The next prime is 149106161. The reversal of 149106144 is 441601941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 69544 + ... + 71655.

It is an arithmetic number, because the mean of its divisors is an integer number (8895600).

Almost surely, 2149106144 is an apocalyptic number.

It is an amenable number.

149106144 is an abundant number, since it is smaller than the sum of its proper divisors (277882656).

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

149106144 is a wasteful number, since it uses less digits than its factorization.

149106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141223 (or 141215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 149106144 is about 12210.9026693361. The cubic root of 149106144 is about 530.2717770715.

The spelling of 149106144 in words is "one hundred forty-nine million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 141199 282398 423597 564796 847194 1129592 1553189 1694388 2259184 3106378 3388776 4518368 4659567 6212756 6777552 9319134 12425512 13555104 18638268 24851024 37276536 49702048 74553072 149106144