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144316656 = 243211312939
BaseRepresentation
bin10001001101000…
…01100011110000
3101001120001020100
420212201203300
5243421113111
622153112400
73401446161
oct1046414360
9331501210
10144316656
1174510270
12403b8700
1323b8c093
1415249768
15ca0a756
hex89a18f0

144316656 has 120 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 42307200.

The previous prime is 144316633. The next prime is 144316657. The reversal of 144316656 is 656613441.

It is a happy number.

144316656 is a `hidden beast` number, since 1 + 443 + 166 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144316656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144316657) 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, 47635 + ... + 50573.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2144316656 is an apocalyptic number.

144316656 is a gapful number since it is divisible by the number (16) 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 144316656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

144316656 is an abundant number, since it is smaller than the sum of its proper divisors (310654224).

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

144316656 is a wasteful number, since it uses less digits than its factorization.

144316656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2986 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 144316656 is about 12013.1867545627. The cubic root of 144316656 is about 524.5321982546.

The spelling of 144316656 in words is "one hundred forty-four million, three hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 2939 3069 4092 4464 5456 5878 6138 8184 8817 11756 12276 16368 17634 23512 24552 26451 32329 35268 47024 49104 52902 64658 70536 91109 96987 105804 129316 141072 182218 193974 211608 258632 273327 290961 364436 387948 423216 517264 546654 581922 728872 775896 819981 1002199 1093308 1163844 1457744 1551792 1639962 2004398 2186616 2327688 3006597 3279924 4008796 4373232 4655376 6013194 6559848 8017592 9019791 12026388 13119696 16035184 18039582 24052776 36079164 48105552 72158328 144316656