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144415116 = 22338291613
BaseRepresentation
bin10001001101110…
…01100110001100
3101001202001022000
420212321212030
5243432240431
622155152300
73402336216
oct1046714614
9331661260
10144415116
117457823a
1240445690
1323bc4b41
14152735b6
15ca299e6
hex89b998c

144415116 has 48 divisors (see below), whose sum is σ = 375093600. Its totient is φ = 48050496.

The previous prime is 144415093. The next prime is 144415151. The reversal of 144415116 is 611514441.

144415116 is a `hidden beast` number, since 144 + 4 + 1 + 511 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144415116.

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 15 ways as a sum of consecutive naturals, for example, 88726 + ... + 90338.

It is an arithmetic number, because the mean of its divisors is an integer number (7814450).

Almost surely, 2144415116 is an apocalyptic number.

It is an amenable number.

144415116 is an abundant number, since it is smaller than the sum of its proper divisors (230678484).

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

144415116 is a wasteful number, since it uses less digits than its factorization.

144415116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

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

The square root of 144415116 is about 12017.2840525636. The cubic root of 144415116 is about 524.6514584543.

Adding to 144415116 its reverse (611514441), we get a palindrome (755929557).

The spelling of 144415116 in words is "one hundred forty-four million, four hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 829 1613 1658 2487 3226 3316 4839 4974 6452 7461 9678 9948 14517 14922 19356 22383 29034 29844 43551 44766 58068 87102 89532 174204 1337177 2674354 4011531 5348708 8023062 12034593 16046124 24069186 36103779 48138372 72207558 144415116