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144008901 = 3383179359
BaseRepresentation
bin10001001010101…
…10011011000101
3101000222102002000
420211112123011
5243331241101
622142335513
73366025011
oct1045263305
9330872060
10144008901
1174320023
124028a599
1323ab1c8a
14151a9541
15c999486
hex89566c5

144008901 has 32 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 94056624.

The previous prime is 144008899. The next prime is 144008903. The reversal of 144008901 is 109800441.

It is an interprime number because it is at equal distance from previous prime (144008899) and next prime (144008903).

It is not a de Polignac number, because 144008901 - 21 = 144008899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144008903) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 400960 + ... + 401318.

It is an arithmetic number, because the mean of its divisors is an integer number (6804000).

Almost surely, 2144008901 is an apocalyptic number.

It is an amenable number.

144008901 is a deficient number, since it is larger than the sum of its proper divisors (73719099).

144008901 is a wasteful number, since it uses less digits than its factorization.

144008901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 144008901 is about 12000.3708692690. The cubic root of 144008901 is about 524.1590782578.

The spelling of 144008901 in words is "one hundred forty-four million, eight thousand, nine hundred one".

Divisors: 1 3 9 27 83 179 249 359 537 747 1077 1611 2241 3231 4833 9693 14857 29797 44571 64261 89391 133713 192783 268173 401139 578349 804519 1735047 5333663 16000989 48002967 144008901