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144010468 = 22717973119
BaseRepresentation
bin10001001010101…
…10110011100100
3101000222111020001
420211112303210
5243331313333
622142351044
73366032410
oct1045266344
9330874201
10144010468
1174321218
124028b484
1323ab28c4
14151a9d40
15c999b7d
hex8956ce4

144010468 has 48 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 57470976.

The previous prime is 144010457. The next prime is 144010499. The reversal of 144010468 is 864010441.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 44613 + ... + 47731.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2144010468 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 144010468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

144010468 is an abundant number, since it is smaller than the sum of its proper divisors (164195612).

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

144010468 is a wasteful number, since it uses less digits than its factorization.

144010468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 144010468 is about 12000.4361587402. The cubic root of 144010468 is about 524.1609794233.

The spelling of 144010468 in words is "one hundred forty-four million, ten thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 97 119 194 238 388 476 679 1358 1649 2716 3119 3298 6238 6596 11543 12476 21833 23086 43666 46172 53023 87332 106046 212092 302543 371161 605086 742322 1210172 1484644 2117801 4235602 5143231 8471204 10286462 20572924 36002617 72005234 144010468