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144386568 = 23322005369
BaseRepresentation
bin10001001101100…
…10101000001000
3101001200121010200
420212302220020
5243430332233
622154412200
73402160044
oct1046625010
9331617120
10144386568
1174558847
1240431060
1323bb4b51
1415267024
15ca21313
hex89b2a08

144386568 has 24 divisors (see below), whose sum is σ = 391047150. Its totient is φ = 48128832.

The previous prime is 144386519. The next prime is 144386579. The reversal of 144386568 is 865683441.

144386568 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 86 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93663684 + 50722884 = 9678^2 + 7122^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1002613 + ... + 1002756.

Almost surely, 2144386568 is an apocalyptic number.

144386568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144386568 is an abundant number, since it is smaller than the sum of its proper divisors (246660582).

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

144386568 is a wasteful number, since it uses less digits than its factorization.

144386568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005381 (or 2005374 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 144386568 is about 12016.0962046748. The cubic root of 144386568 is about 524.6168851186.

The spelling of 144386568 in words is "one hundred forty-four million, three hundred eighty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2005369 4010738 6016107 8021476 12032214 16042952 18048321 24064428 36096642 48128856 72193284 144386568