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144032031 = 321113111913
BaseRepresentation
bin10001001010111…
…00000100011111
3101001000120210200
420211130010133
5243333011111
622143034543
73366152313
oct1045340437
9331016720
10144032031
1174336440
124029ba53
1323abc670
14151b3b43
15c9a1256
hex895c11f

144032031 has 24 divisors (see below), whose sum is σ = 244420176. Its totient is φ = 80576640.

The previous prime is 144032029. The next prime is 144032033. The reversal of 144032031 is 130230441.

It is an interprime number because it is at equal distance from previous prime (144032029) and next prime (144032033).

It is not a de Polignac number, because 144032031 - 21 = 144032029 is a prime.

It is a super-2 number, since 2×1440320312 = 41490451907969922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144031995 and 144032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144032033) 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 23 ways as a sum of consecutive naturals, for example, 54670 + ... + 57243.

It is an arithmetic number, because the mean of its divisors is an integer number (10184174).

Almost surely, 2144032031 is an apocalyptic number.

144032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144032031 is a deficient number, since it is larger than the sum of its proper divisors (100388145).

144032031 is a wasteful number, since it uses less digits than its factorization.

144032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111943 (or 111940 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144032031 is about 12001.3345507906. The cubic root of 144032031 is about 524.1871393715.

Adding to 144032031 its reverse (130230441), we get a palindrome (274262472).

The spelling of 144032031 in words is "one hundred forty-four million, thirty-two thousand, thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 111913 335739 1007217 1231043 1454869 3693129 4364607 11079387 13093821 16003559 48010677 144032031