Search a number
-
+
144980568 = 23322013619
BaseRepresentation
bin10001010010000…
…11101001011000
3101002210202221200
420221003221120
5244103334233
622215234200
73410212605
oct1051035130
9332722850
10144980568
1174924057
1240678960
1324062325
141537d6ac
15cadc313
hex8a43a58

144980568 has 24 divisors (see below), whose sum is σ = 392655900. Its totient is φ = 48326832.

The previous prime is 144980567. The next prime is 144980593. The reversal of 144980568 is 865089441.

144980568 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 80 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144980567) 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 5 ways as a sum of consecutive naturals, for example, 1006738 + ... + 1006881.

Almost surely, 2144980568 is an apocalyptic number.

144980568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144980568 is an abundant number, since it is smaller than the sum of its proper divisors (247675332).

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

144980568 is a wasteful number, since it uses less digits than its factorization.

144980568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013631 (or 2013624 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 144980568 is about 12040.7876818753. The cubic root of 144980568 is about 525.3353177596.

The spelling of 144980568 in words is "one hundred forty-four million, nine hundred eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2013619 4027238 6040857 8054476 12081714 16108952 18122571 24163428 36245142 48326856 72490284 144980568