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144253368 = 23327793623
BaseRepresentation
bin10001001100100…
…10000110111000
3101001102211102100
420212102012320
5243412101433
622151503400
73401063520
oct1046220670
9331384370
10144253368
1174477766
1240387b60
1323b6932c
1415230680
15c9e6b13
hex89921b8

144253368 has 96 divisors (see below), whose sum is σ = 452275200. Its totient is φ = 40682304.

The previous prime is 144253363. The next prime is 144253379. The reversal of 144253368 is 863352441.

144253368 is a `hidden beast` number, since 1 + 44 + 253 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144253363) 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, 38005 + ... + 41627.

It is an arithmetic number, because the mean of its divisors is an integer number (4711200).

Almost surely, 2144253368 is an apocalyptic number.

144253368 is a gapful number since it is divisible by the number (18) 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 144253368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226137600).

144253368 is an abundant number, since it is smaller than the sum of its proper divisors (308021832).

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

144253368 is a wasteful number, since it uses less digits than its factorization.

144253368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3714 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 144253368 is about 12010.5523603205. The cubic root of 144253368 is about 524.4555116857.

The spelling of 144253368 in words is "one hundred forty-four million, two hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 3623 4424 4977 5688 6636 7246 9954 10869 13272 14492 19908 21738 25361 28984 32607 39816 43476 50722 65214 76083 86952 101444 130428 152166 202888 228249 260856 286217 304332 456498 572434 608664 858651 912996 1144868 1717302 1825992 2003519 2289736 2575953 3434604 4007038 5151906 6010557 6869208 8014076 10303812 12021114 16028152 18031671 20607624 24042228 36063342 48084456 72126684 144253368