Search a number
-
+
144016731 = 3323317481
BaseRepresentation
bin10001001010110…
…00010101011011
3101000222210211000
420211120111123
5243332013411
622142440043
73366056565
oct1045302533
9330883730
10144016731
11743259a1
1240293023
1323ab5701
14151ac335
15c99b956
hex895855b

144016731 has 32 divisors (see below), whose sum is σ = 229847040. Its totient is φ = 88862400.

The previous prime is 144016727. The next prime is 144016753. The reversal of 144016731 is 137610441.

It is a happy number.

It is not a de Polignac number, because 144016731 - 22 = 144016727 is a prime.

It is a super-2 number, since 2×1440167312 = 41481637615852722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144016695 and 144016704.

It is not an unprimeable number, because it can be changed into a prime (144016721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15511 + ... + 22991.

It is an arithmetic number, because the mean of its divisors is an integer number (7182720).

Almost surely, 2144016731 is an apocalyptic number.

144016731 is a deficient number, since it is larger than the sum of its proper divisors (85830309).

144016731 is a wasteful number, since it uses less digits than its factorization.

144016731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 144016731 is about 12000.6971047519. The cubic root of 144016731 is about 524.1685778817.

The spelling of 144016731 in words is "one hundred forty-four million, sixteen thousand, seven hundred thirty-one".

Divisors: 1 3 9 23 27 31 69 93 207 279 621 713 837 2139 6417 7481 19251 22443 67329 172063 201987 231911 516189 695733 1548567 2087199 4645701 5333953 6261597 16001859 48005577 144016731