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144755204 = 221121773241
BaseRepresentation
bin10001010000011…
…00101000000100
3101002101022210212
420220030220010
5244024131304
622210334552
73405253556
oct1050145004
9332338725
10144755204
117478a800
124058a458
1323cb3889
14153214d6
15ca9566e
hex8a0ca04

144755204 has 72 divisors (see below), whose sum is σ = 300102264. Its totient is φ = 60825600.

The previous prime is 144755201. The next prime is 144755231. The reversal of 144755204 is 402557441.

144755204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60996100 + 83759104 = 7810^2 + 9152^2 .

It is not an unprimeable number, because it can be changed into a prime (144755201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600524 + ... + 600764.

It is an arithmetic number, because the mean of its divisors is an integer number (4168087).

Almost surely, 2144755204 is an apocalyptic number.

It is an amenable number.

144755204 is an abundant number, since it is smaller than the sum of its proper divisors (155347060).

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

144755204 is a wasteful number, since it uses less digits than its factorization.

144755204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 32.

The square root of 144755204 is about 12031.4256844316. The cubic root of 144755204 is about 525.0629753632.

The spelling of 144755204 in words is "one hundred forty-four million, seven hundred fifty-five thousand, two hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 73 121 146 187 241 242 292 374 482 484 748 803 964 1241 1606 2057 2482 2651 3212 4097 4114 4964 5302 8194 8228 8833 10604 13651 16388 17593 17666 27302 29161 35186 35332 45067 54604 58322 70372 90134 116644 150161 180268 193523 299081 300322 387046 495737 598162 600644 774092 991474 1196324 1982948 2128753 3289891 4257506 6579782 8515012 13159564 36188801 72377602 144755204