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144032464 = 24191014691
BaseRepresentation
bin10001001010111…
…00001011010000
3101001000121101201
420211130023100
5243333014324
622143040544
73366153502
oct1045341320
9331017351
10144032464
11743367a4
12402a0154
1323abc914
14151b3d72
15c9a1444
hex895c2d0

144032464 has 40 divisors (see below), whose sum is σ = 296722080. Its totient is φ = 67536000.

The previous prime is 144032461. The next prime is 144032501. The reversal of 144032464 is 464230441.

It is a super-2 number, since 2×1440324642 = 41490701371822592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144032461) 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 7 ways as a sum of consecutive naturals, for example, 28359 + ... + 33049.

It is an arithmetic number, because the mean of its divisors is an integer number (7418052).

Almost surely, 2144032464 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 144032464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148361040).

144032464 is an abundant number, since it is smaller than the sum of its proper divisors (152689616).

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

144032464 is a wasteful number, since it uses less digits than its factorization.

144032464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 144032464 is about 12001.3525904375. The cubic root of 144032464 is about 524.1876646547.

The spelling of 144032464 in words is "one hundred forty-four million, thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1616 1919 3838 4691 7676 9382 15352 18764 30704 37528 75056 89129 178258 356516 473791 713032 947582 1426064 1895164 3790328 7580656 9002029 18004058 36008116 72016232 144032464