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144157446 = 232191273319
BaseRepresentation
bin10001001011110…
…10101100000110
3101001020221211200
420211322230012
5243401014241
622145443330
73400214046
oct1045725406
9331227750
10144157446
1174411694
1240340546
1323b34784
1415207726
15c9c84b6
hex897ab06

144157446 has 48 divisors (see below), whose sum is σ = 331468800. Its totient is φ = 45151344.

The previous prime is 144157417. The next prime is 144157487. The reversal of 144157446 is 644751441.

It is a happy number.

144157446 is a `hidden beast` number, since 1 + 4 + 41 + 574 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144157446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41775 + ... + 45093.

It is an arithmetic number, because the mean of its divisors is an integer number (6905600).

Almost surely, 2144157446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144157446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165734400).

144157446 is an abundant number, since it is smaller than the sum of its proper divisors (187311354).

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

144157446 is a wasteful number, since it uses less digits than its factorization.

144157446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3470 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 144157446 is about 12006.5584577763. The cubic root of 144157446 is about 524.3392394696.

The spelling of 144157446 in words is "one hundred forty-four million, one hundred fifty-seven thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 3319 4826 6638 7239 9957 14478 19914 21717 29871 43434 59742 63061 126122 189183 378366 421513 567549 843026 1135098 1264539 2529078 3793617 7587234 8008747 16017494 24026241 48052482 72078723 144157446