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144205331 = 2371233379
BaseRepresentation
bin10001001100001…
…10011000010011
3101001100101112012
420212012120103
5243404032311
622150453135
73400503464
oct1046063023
9331311465
10144205331
1174444666
12403641ab
1323b504ca
141521ad6b
15c9d778b
hex8986613

144205331 has 16 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 135051840.

The previous prime is 144205319. The next prime is 144205343. The reversal of 144205331 is 133502441.

It is an interprime number because it is at equal distance from previous prime (144205319) and next prime (144205343).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144205331 is a prime.

It is a super-2 number, since 2×1442053312 = 41590354977639122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144205297 and 144205306.

It is not an unprimeable number, because it can be changed into a prime (144205631) 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 15 ways as a sum of consecutive naturals, for example, 380300 + ... + 380678.

It is an arithmetic number, because the mean of its divisors is an integer number (9603360).

Almost surely, 2144205331 is an apocalyptic number.

144205331 is a deficient number, since it is larger than the sum of its proper divisors (9448429).

144205331 is a wasteful number, since it uses less digits than its factorization.

144205331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 144205331 is about 12008.5524106780. The cubic root of 144205331 is about 524.3972898991.

Adding to 144205331 its reverse (133502441), we get a palindrome (277707772).

The spelling of 144205331 in words is "one hundred forty-four million, two hundred five thousand, three hundred thirty-one".

Divisors: 1 23 71 233 379 1633 5359 8717 16543 26909 88307 380489 618907 2031061 6269797 144205331