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144578868 = 22371739949
BaseRepresentation
bin10001001111000…
…01100100110100
3101002001100220220
420213201210310
5244003010433
622202454340
73403620510
oct1047414464
9332040826
10144578868
117467a275
12405043b0
1323c51535
14152b7140
15ca5d2b3
hex89e1934

144578868 has 48 divisors (see below), whose sum is σ = 387811200. Its totient is φ = 41065344.

The previous prime is 144578849. The next prime is 144578911. The reversal of 144578868 is 868875441.

It is a super-2 number, since 2×1445788682 = 41806098144322848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144578868.

It is a congruent number.

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, 9558 + ... + 19506.

It is an arithmetic number, because the mean of its divisors is an integer number (8079400).

Almost surely, 2144578868 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 144578868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193905600).

144578868 is an abundant number, since it is smaller than the sum of its proper divisors (243232332).

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

144578868 is a wasteful number, since it uses less digits than its factorization.

144578868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10136 (or 10134 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 144578868 is about 12024.0953090035. The cubic root of 144578868 is about 524.8496839503.

The spelling of 144578868 in words is "one hundred forty-four million, five hundred seventy-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 4844 7266 9949 14532 19898 29847 39796 59694 69643 119388 139286 208929 278572 417858 835716 1721177 3442354 5163531 6884708 10327062 12048239 20654124 24096478 36144717 48192956 72289434 144578868