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144357774 = 231147173269
BaseRepresentation
bin10001001101010…
…11100110001110
3101001122010122020
420212223212032
5243423422044
622154031010
73402010101
oct1046534616
9331563566
10144357774
1174539150
1240418466
1323ba4a02
141525a738
15ca17a19
hex89ab98e

144357774 has 64 divisors (see below), whose sum is σ = 324725760. Its totient is φ = 42408320.

The previous prime is 144357769. The next prime is 144357799. The reversal of 144357774 is 477753441.

It is a happy number.

144357774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 536512 + ... + 536780.

It is an arithmetic number, because the mean of its divisors is an integer number (5073840).

Almost surely, 2144357774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144357774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162362880).

144357774 is an abundant number, since it is smaller than the sum of its proper divisors (180367986).

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

144357774 is a wasteful number, since it uses less digits than its factorization.

144357774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505.

The product of its digits is 329280, while the sum is 42.

The square root of 144357774 is about 12014.8980020639. The cubic root of 144357774 is about 524.5820092455.

The spelling of 144357774 in words is "one hundred forty-four million, three hundred fifty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 173 269 282 346 517 519 538 807 1034 1038 1551 1614 1903 2959 3102 3806 5709 5918 8131 8877 11418 12643 16262 17754 24393 25286 37929 46537 48786 75858 89441 93074 139073 139611 178882 268323 278146 279222 417219 511907 536646 834438 1023814 1535721 2187239 3071442 4374478 6561717 13123434 24059629 48119258 72178887 144357774