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144409005 = 32513317963
BaseRepresentation
bin10001001101110…
…00000110101101
3101001201201220200
420212320012231
5243432042010
622155104113
73402312336
oct1046700655
9331651820
10144409005
1174573694
1240442039
1323bc2120
141527128d
15ca27cc0
hex89b81ad

144409005 has 48 divisors (see below), whose sum is σ = 278294016. Its totient is φ = 68791680.

The previous prime is 144408989. The next prime is 144409073. The reversal of 144409005 is 500904441.

It is not a de Polignac number, because 144409005 - 24 = 144408989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144409005.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14154 + ... + 22116.

It is an arithmetic number, because the mean of its divisors is an integer number (5797792).

Almost surely, 2144409005 is an apocalyptic number.

144409005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144409005 is a deficient number, since it is larger than the sum of its proper divisors (133885011).

144409005 is a wasteful number, since it uses less digits than its factorization.

144409005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 144409005 is about 12017.0297910923. The cubic root of 144409005 is about 524.6440580511.

The spelling of 144409005 in words is "one hundred forty-four million, four hundred nine thousand, five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 117 155 195 279 403 465 585 1209 1395 2015 3627 6045 7963 18135 23889 39815 71667 103519 119445 246853 310557 358335 517595 740559 931671 1234265 1552785 2221677 3209089 3702795 4658355 9627267 11108385 16045445 28881801 48136335 144409005