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144065556 = 223231167773
BaseRepresentation
bin10001001011001…
…00010000010100
3101001002021210100
420211210100110
5243340044211
622143454100
73366352125
oct1045442024
9331067710
10144065556
1174359648
12402b7330
1323b019bb
14151c204c
15c9ab156
hex8964414

144065556 has 72 divisors (see below), whose sum is σ = 378653184. Its totient is φ = 46134720.

The previous prime is 144065527. The next prime is 144065557. The reversal of 144065556 is 655560441.

144065556 is a `hidden beast` number, since 1 + 4 + 40 + 65 + 556 = 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 144065556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144065557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185986 + ... + 186758.

It is an arithmetic number, because the mean of its divisors is an integer number (5259072).

Almost surely, 2144065556 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 144065556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189326592).

144065556 is an abundant number, since it is smaller than the sum of its proper divisors (234587628).

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

144065556 is a wasteful number, since it uses less digits than its factorization.

144065556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 144065556 is about 12002.7311891919. The cubic root of 144065556 is about 524.2278062760.

The spelling of 144065556 in words is "one hundred forty-four million, sixty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 167 186 279 334 372 501 558 668 773 1002 1116 1503 1546 2004 2319 3006 3092 4638 5177 6012 6957 9276 10354 13914 15531 20708 23963 27828 31062 46593 47926 62124 71889 93186 95852 129091 143778 186372 215667 258182 287556 387273 431334 516364 774546 862668 1161819 1549092 2323638 4001821 4647276 8003642 12005463 16007284 24010926 36016389 48021852 72032778 144065556