Search a number
-
+
144561432 = 23331832341
BaseRepresentation
bin10001001110111…
…01010100011000
3101002000111000010
420213131110120
5244001431212
622202241520
73403515621
oct1047352430
9332014003
10144561432
1174668164
12404b62a0
1323c46612
14152b0a48
15ca5803c
hex89dd518

144561432 has 64 divisors (see below), whose sum is σ = 377717760. Its totient is φ = 46051200.

The previous prime is 144561413. The next prime is 144561451. The reversal of 144561432 is 234165441.

It is an interprime number because it is at equal distance from previous prime (144561413) and next prime (144561451).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144561432.

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 15 ways as a sum of consecutive naturals, for example, 60582 + ... + 62922.

It is an arithmetic number, because the mean of its divisors is an integer number (5901840).

Almost surely, 2144561432 is an apocalyptic number.

144561432 is a gapful number since it is divisible by the number (12) 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 144561432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188858880).

144561432 is an abundant number, since it is smaller than the sum of its proper divisors (233156328).

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

144561432 is a wasteful number, since it uses less digits than its factorization.

144561432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2460 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 144561432 is about 12023.3702429893. The cubic root of 144561432 is about 524.8285844007.

The spelling of 144561432 in words is "one hundred forty-four million, five hundred sixty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 124 166 186 248 249 332 372 498 664 744 996 1992 2341 2573 4682 5146 7023 7719 9364 10292 14046 15438 18728 20584 28092 30876 56184 61752 72571 145142 194303 217713 290284 388606 435426 580568 582909 777212 870852 1165818 1554424 1741704 2331636 4663272 6023393 12046786 18070179 24093572 36140358 48187144 72280716 144561432