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144123252 = 223713191691
BaseRepresentation
bin10001001011100…
…10010101110100
3101001012012221020
420211302111310
5243343421002
622145021140
73400012260
oct1045622564
9331165836
10144123252
1174398a29
12403247b0
1323b22040
14151d90a0
15c9bd2bc
hex8972574

144123252 has 96 divisors (see below), whose sum is σ = 416661504. Its totient is φ = 37756800.

The previous prime is 144123233. The next prime is 144123289. The reversal of 144123252 is 252321441.

It is a congruent number.

It is an unprimeable number.

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, 208227 + ... + 208917.

It is an arithmetic number, because the mean of its divisors is an integer number (4340224).

Almost surely, 2144123252 is an apocalyptic number.

144123252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144123252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208330752).

144123252 is an abundant number, since it is smaller than the sum of its proper divisors (272538252).

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

144123252 is a wasteful number, since it uses less digits than its factorization.

144123252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 144123252 is about 12005.1344015800. The cubic root of 144123252 is about 524.2977786127.

Adding to 144123252 its reverse (252321441), we get a palindrome (396444693).

The spelling of 144123252 in words is "one hundred forty-four million, one hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 191 273 364 382 546 573 691 764 1092 1146 1337 1382 2073 2292 2483 2674 2764 4011 4146 4837 4966 5348 7449 8022 8292 8983 9674 9932 14511 14898 16044 17381 17966 19348 26949 29022 29796 34762 35932 52143 53898 58044 62881 69524 104286 107796 125762 131981 188643 208572 251524 263962 377286 395943 527924 754572 791886 923867 1583772 1715753 1847734 2771601 3431506 3695468 5147259 5543202 6863012 10294518 11086404 12010271 20589036 24020542 36030813 48041084 72061626 144123252