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144019392 = 26311193797
BaseRepresentation
bin10001001010110…
…00111111000000
3101000222221110120
420211120333000
5243332110032
622142500240
73366100416
oct1045307700
9330887416
10144019392
11743279a0
1240294680
1323ab699a
14151ad2b6
15c99c62c
hex8958fc0

144019392 has 224 divisors, whose sum is σ = 454030080. Its totient is φ = 39813120.

The previous prime is 144019363. The next prime is 144019439. The reversal of 144019392 is 293910441.

144019392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1484688 + ... + 1484784.

It is an arithmetic number, because the mean of its divisors is an integer number (2026920).

Almost surely, 2144019392 is an apocalyptic number.

144019392 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 144019392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227015040).

144019392 is an abundant number, since it is smaller than the sum of its proper divisors (310010688).

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

144019392 is a wasteful number, since it uses less digits than its factorization.

144019392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 144019392 is about 12000.8079727992. The cubic root of 144019392 is about 524.1718062195.

Subtracting 144019392 from its reverse (293910441), we obtain a square (149891049 = 122432).

The spelling of 144019392 in words is "one hundred forty-four million, nineteen thousand, three hundred ninety-two".