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144088496 = 243129371
BaseRepresentation
bin10001001011010…
…01110110110000
3101001010110020222
420211221312300
5243341312441
622144152212
73366506036
oct1045516660
9331113228
10144088496
1174374902
1240308668
1323b0c286
14151ca556
15c9b2d4b
hex8969db0

144088496 has 30 divisors (see below), whose sum is σ = 288498276. Its totient is φ = 69712800.

The previous prime is 144088493. The next prime is 144088499. The reversal of 144088496 is 694880441.

It is an interprime number because it is at equal distance from previous prime (144088493) and next prime (144088499).

It is a super-2 number, since 2×1440884962 = 41522989359084032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144088493) 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 5 ways as a sum of consecutive naturals, for example, 10691 + ... + 20061.

Almost surely, 2144088496 is an apocalyptic number.

144088496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144088496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144249138).

144088496 is an abundant number, since it is smaller than the sum of its proper divisors (144409780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144088496 is an equidigital number, since it uses as much as digits as its factorization.

144088496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 144088496 is about 12003.6867669895. The cubic root of 144088496 is about 524.2556295993.

The spelling of 144088496 in words is "one hundred forty-four million, eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 9371 15376 18742 37484 74968 149936 290501 581002 1162004 2324008 4648016 9005531 18011062 36022124 72044248 144088496