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144576068 = 227213232467
BaseRepresentation
bin10001001111000…
…00111001000100
3101002001020002012
420213200321010
5244002413233
622202433352
73403606400
oct1047407104
9332036065
10144576068
117467815a
1240502858
1323c50190
14152b6100
15ca5c548
hex89e0e44

144576068 has 72 divisors (see below), whose sum is σ = 330869952. Its totient is φ = 54686016.

The previous prime is 144576067. The next prime is 144576071. The reversal of 144576068 is 860675441.

It is not an unprimeable number, because it can be changed into a prime (144576067) by changing a digit.

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, 57371 + ... + 59837.

It is an arithmetic number, because the mean of its divisors is an integer number (4595416).

Almost surely, 2144576068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144576068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165434976).

144576068 is an abundant number, since it is smaller than the sum of its proper divisors (186293884).

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

144576068 is a wasteful number, since it uses less digits than its factorization.

144576068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 144576068 is about 12023.9788755636. The cubic root of 144576068 is about 524.8462957451.

The spelling of 144576068 in words is "one hundred forty-four million, five hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 49 52 91 92 98 161 182 196 299 322 364 598 637 644 1127 1196 1274 2093 2254 2467 2548 4186 4508 4934 8372 9868 14651 17269 29302 32071 34538 56741 58604 64142 69076 113482 120883 128284 224497 226964 241766 397187 448994 483532 737633 794374 897988 1475266 1571479 1588748 2780309 2950532 3142958 5163431 5560618 6285916 10326862 11121236 20653724 36144017 72288034 144576068