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144015831 = 3237942221
BaseRepresentation
bin10001001010110…
…00000111010111
3101000222202120200
420211120013113
5243332001311
622142431543
73366054141
oct1045300727
9330882520
10144015831
1174325253
12402925b3
1323ab518b
14151abc91
15c99b556
hex89581d7

144015831 has 12 divisors (see below), whose sum is σ = 208576680. Its totient is φ = 95754960.

The previous prime is 144015829. The next prime is 144015871. The reversal of 144015831 is 138510441.

It is a happy number.

It is not a de Polignac number, because 144015831 - 21 = 144015829 is a prime.

It is a super-2 number, since 2×1440158312 = 41481119157241122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144015795 and 144015804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144015871) 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 11 ways as a sum of consecutive naturals, for example, 17700 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (17381390).

Almost surely, 2144015831 is an apocalyptic number.

144015831 is a deficient number, since it is larger than the sum of its proper divisors (64560849).

144015831 is a wasteful number, since it uses less digits than its factorization.

144015831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42606 (or 42603 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 144015831 is about 12000.6596068716. The cubic root of 144015831 is about 524.1674859884.

It can be divided in two parts, 1440 and 15831, that added together give a palindrome (17271).

The spelling of 144015831 in words is "one hundred forty-four million, fifteen thousand, eight hundred thirty-one".

Divisors: 1 3 9 379 1137 3411 42221 126663 379989 16001759 48005277 144015831