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144010956 = 223193743397
BaseRepresentation
bin10001001010101…
…10111011001100
3101000222111220010
420211112323030
5243331322311
622142353220
73366034005
oct1045267314
9330874803
10144010956
1174321621
124028b810
1323ab2bab
14151aa1ac
15c999da6
hex8956ecc

144010956 has 96 divisors (see below), whose sum is σ = 372655360. Its totient is φ = 43110144.

The previous prime is 144010943. The next prime is 144010957. The reversal of 144010956 is 659010441.

It is a happy number.

144010956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144010957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362550 + ... + 362946.

Almost surely, 2144010956 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 144010956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186327680).

144010956 is an abundant number, since it is smaller than the sum of its proper divisors (228644404).

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

144010956 is a wasteful number, since it uses less digits than its factorization.

144010956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 144010956 is about 12000.4564913173. The cubic root of 144010956 is about 524.1615714874.

The spelling of 144010956 in words is "one hundred forty-four million, ten thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 37 38 43 57 74 76 86 111 114 129 148 172 222 228 258 397 444 516 703 794 817 1191 1406 1588 1591 1634 2109 2382 2451 2812 3182 3268 4218 4764 4773 4902 6364 7543 8436 9546 9804 14689 15086 17071 19092 22629 29378 30172 30229 34142 44067 45258 51213 58756 60458 68284 88134 90516 90687 102426 120916 176268 181374 204852 279091 324349 362748 558182 631627 648698 837273 973047 1116364 1263254 1297396 1674546 1894881 1946094 2526508 3349092 3789762 3892188 7579524 12000913 24001826 36002739 48003652 72005478 144010956