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144139400 = 2352720697
BaseRepresentation
bin10001001011101…
…10010010001000
3101001020001002022
420211312102020
5243344430100
622145224012
73400110326
oct1045662210
9331201068
10144139400
11743aa079
1240332008
1323b294b2
1415200d16
15c9c2e85
hex8976488

144139400 has 24 divisors (see below), whose sum is σ = 335124570. Its totient is φ = 57655680.

The previous prime is 144139399. The next prime is 144139403. The reversal of 144139400 is 4931441.

It can be written as a sum of positive squares in 3 ways, for example, as 122367844 + 21771556 = 11062^2 + 4666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144139400.

It is not an unprimeable number, because it can be changed into a prime (144139403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 360149 + ... + 360548.

Almost surely, 2144139400 is an apocalyptic number.

144139400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144139400 is an abundant number, since it is smaller than the sum of its proper divisors (190985170).

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

144139400 is a wasteful number, since it uses less digits than its factorization.

144139400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720713 (or 720704 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 144139400 is about 12005.8069283160. The cubic root of 144139400 is about 524.3173591782.

The spelling of 144139400 in words is "one hundred forty-four million, one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 720697 1441394 2882788 3603485 5765576 7206970 14413940 18017425 28827880 36034850 72069700 144139400