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144108100 = 22521441081
BaseRepresentation
bin10001001011011…
…10101001000100
3101001011110011001
420211232221010
5243342424400
622144423044
73366620143
oct1045565104
9331143131
10144108100
1174388604
1240317a84
1323b18186
14151d375a
15c9b8a6a
hex896ea44

144108100 has 18 divisors (see below), whose sum is σ = 312714794. Its totient is φ = 57643200.

The previous prime is 144108091. The next prime is 144108101. The reversal of 144108100 is 1801441.

It can be written as a sum of positive squares in 3 ways, for example, as 20142144 + 123965956 = 4488^2 + 11134^2 .

It is a super-2 number, since 2×1441081002 = 41534288971220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144108101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720441 + ... + 720640.

Almost surely, 2144108100 is an apocalyptic number.

144108100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144108100 is an abundant number, since it is smaller than the sum of its proper divisors (168606694).

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

144108100 is a wasteful number, since it uses less digits than its factorization.

144108100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441095 (or 1441088 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 144108100 is about 12004.5033216706. The cubic root of 144108100 is about 524.2794044358.

Adding to 144108100 its reverse (1801441), we get a palindrome (145909541).

The spelling of 144108100 in words is "one hundred forty-four million, one hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1441081 2882162 5764324 7205405 14410810 28821620 36027025 72054050 144108100