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144917416 = 23712832017
BaseRepresentation
bin10001010001101…
…00001110101000
3101002200120022201
420220310032220
5244044324131
622214025544
73406530520
oct1050641650
9332616281
10144917416
1174890666
12406482b4
132403c667
1415364680
15cac8761
hex8a343a8

144917416 has 32 divisors (see below), whose sum is σ = 310933440. Its totient is φ = 62028288.

The previous prime is 144917413. The next prime is 144917431. The reversal of 144917416 is 614719441.

144917416 is nontrivially palindromic in base 16.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144917413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70840 + ... + 72856.

It is an arithmetic number, because the mean of its divisors is an integer number (9716670).

Almost surely, 2144917416 is an apocalyptic number.

It is an amenable number.

144917416 is an abundant number, since it is smaller than the sum of its proper divisors (166016024).

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

144917416 is a wasteful number, since it uses less digits than its factorization.

144917416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3309 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 144917416 is about 12038.1649764406. The cubic root of 144917416 is about 525.2590298482.

The spelling of 144917416 in words is "one hundred forty-four million, nine hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 1283 2017 2566 4034 5132 8068 8981 10264 14119 16136 17962 28238 35924 56476 71848 112952 2587811 5175622 10351244 18114677 20702488 36229354 72458708 144917416