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144757668 = 2231110910061
BaseRepresentation
bin10001010000011…
…01001110100100
3101002101110012010
420220031032210
5244024221133
622210354220
73405264006
oct1050151644
9332343163
10144757668
1174791640
124058b970
1323cb4a33
1415322376
15ca96263
hex8a0d3a4

144757668 has 48 divisors (see below), whose sum is σ = 371891520. Its totient is φ = 43459200.

The previous prime is 144757667. The next prime is 144757687. The reversal of 144757668 is 866757441.

It is not an unprimeable number, because it can be changed into a prime (144757661) 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 15 ways as a sum of consecutive naturals, for example, 9358 + ... + 19418.

It is an arithmetic number, because the mean of its divisors is an integer number (7747740).

Almost surely, 2144757668 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 144757668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185945760).

144757668 is an abundant number, since it is smaller than the sum of its proper divisors (227133852).

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

144757668 is a wasteful number, since it uses less digits than its factorization.

144757668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10186 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 144757668 is about 12031.5280825006. The cubic root of 144757668 is about 525.0659545257.

The spelling of 144757668 in words is "one hundred forty-four million, seven hundred fifty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 10061 14388 20122 30183 40244 60366 110671 120732 221342 332013 442684 664026 1096649 1328052 2193298 3289947 4386596 6579894 12063139 13159788 24126278 36189417 48252556 72378834 144757668