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144145764 = 22337190669
BaseRepresentation
bin10001001011101…
…11110101100100
3101001020100211000
420211313311210
5243400131024
622145313300
73400135020
oct1045676544
9331210730
10144145764
1174403934
1240335830
1323b2c369
1415203380
15c9c4cc9
hex8977d64

144145764 has 48 divisors (see below), whose sum is σ = 427100800. Its totient is φ = 41184288.

The previous prime is 144145751. The next prime is 144145787. The reversal of 144145764 is 467541441.

It is a happy number.

144145764 is a `hidden beast` number, since 144 + 1 + 457 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94579 + ... + 96090.

Almost surely, 2144145764 is an apocalyptic number.

144145764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144145764 is an abundant number, since it is smaller than the sum of its proper divisors (282955036).

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

144145764 is a wasteful number, since it uses less digits than its factorization.

144145764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190689 (or 190681 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 144145764 is about 12006.0719638023. The cubic root of 144145764 is about 524.3250755661.

The spelling of 144145764 in words is "one hundred forty-four million, one hundred forty-five thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 190669 381338 572007 762676 1144014 1334683 1716021 2288028 2669366 3432042 4004049 5148063 5338732 6864084 8008098 10296126 12012147 16016196 20592252 24024294 36036441 48048588 72072882 144145764