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144120852 = 223219239161
BaseRepresentation
bin10001001011100…
…01110000010100
3101001012002122100
420211301300110
5243343331402
622145002100
73400002261
oct1045616024
9331162570
10144120852
1174397147
1240323330
1323b20c15
14151d8268
15c9bc71c
hex8971c14

144120852 has 72 divisors (see below), whose sum is σ = 400196160. Its totient is φ = 43528320.

The previous prime is 144120817. The next prime is 144120869. The reversal of 144120852 is 258021441.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11152 + ... + 20312.

It is an arithmetic number, because the mean of its divisors is an integer number (5558280).

Almost surely, 2144120852 is an apocalyptic number.

144120852 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 144120852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200098080).

144120852 is an abundant number, since it is smaller than the sum of its proper divisors (256075308).

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

144120852 is a wasteful number, since it uses less digits than its factorization.

144120852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9208 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144120852 is about 12005.0344439323. The cubic root of 144120852 is about 524.2948683220.

The spelling of 144120852 in words is "one hundred forty-four million, one hundred twenty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 9161 15732 18322 27483 36644 54966 82449 109932 164898 174059 210703 329796 348118 421406 522177 632109 696236 842812 1044354 1264218 1566531 1896327 2088708 2528436 3133062 3792654 4003357 6266124 7585308 8006714 12010071 16013428 24020142 36030213 48040284 72060426 144120852