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144096016 = 2430012
BaseRepresentation
bin10001001011010…
…11101100010000
3101001010211120111
420211223230100
5243342033031
622144251104
73366540001
oct1045535420
9331124514
10144096016
117437a519
1240310a94
1323b1281c
14151cd1a8
15c9b51b1
hex896bb10

144096016 has 15 divisors (see below), whose sum is σ = 279279093. Its totient is φ = 72024000.

The previous prime is 144096011. The next prime is 144096049. The reversal of 144096016 is 610690441.

The square root of 144096016 is 12004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77510416 + 66585600 = 8804^2 + 8160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144096011) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 46516 + ... + 49516.

Almost surely, 2144096016 is an apocalyptic number.

144096016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144096016 is the 12004-th square number.

It is an amenable number.

144096016 is a deficient number, since it is larger than the sum of its proper divisors (135183077).

144096016 is an frugal number, since it uses more digits than its factorization.

144096016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 144096016 is about 524.2647497671.

Multiplying 144096016 by its product of nonzero digits (5184), we get a square (746993746944 = 8642882).

The spelling of 144096016 in words is "one hundred forty-four million, ninety-six thousand, sixteen".

Divisors: 1 2 4 8 16 3001 6002 12004 24008 48016 9006001 18012002 36024004 72048008 144096016