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144117636 = 2231317311753
BaseRepresentation
bin10001001011100…
…00111110000100
3101001011221020020
420211300332010
5243343231021
622144535140
73366660015
oct1045607604
9331157206
10144117636
1174394793
12403214b0
1323b1c610
14151d700c
15c9bb7c6
hex8970f84

144117636 has 96 divisors (see below), whose sum is σ = 396039168. Its totient is φ = 40366080.

The previous prime is 144117629. The next prime is 144117643. The reversal of 144117636 is 636711441.

It is an interprime number because it is at equal distance from previous prime (144117629) and next prime (144117643).

It is a junction number, because it is equal to n+sod(n) for n = 144117597 and 144117606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81336 + ... + 83088.

It is an arithmetic number, because the mean of its divisors is an integer number (4125408).

Almost surely, 2144117636 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 144117636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198019584).

144117636 is an abundant number, since it is smaller than the sum of its proper divisors (251921532).

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

144117636 is a wasteful number, since it uses less digits than its factorization.

144117636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1819 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 144117636 is about 12004.9004993794. The cubic root of 144117636 is about 524.2909684819.

The spelling of 144117636 in words is "one hundred forty-four million, one hundred seventeen thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 1753 2108 2418 2652 3162 3506 4836 5259 6324 6851 7012 10518 13702 20553 21036 22789 27404 29801 41106 45578 54343 59602 68367 82212 89403 91156 108686 119204 136734 163029 178806 217372 273468 326058 357612 387413 652116 706459 774826 923831 1162239 1412918 1549652 1847662 2119377 2324478 2771493 2825836 3695324 4238754 4648956 5542986 8477508 11085972 12009803 24019606 36029409 48039212 72058818 144117636