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144121888 = 2541109849
BaseRepresentation
bin10001001011100…
…10000000100000
3101001012011001201
420211302000200
5243343400023
622145010544
73400005301
oct1045620040
9331164051
10144121888
11743979a9
1240323a54
1323b21531
14151d87a8
15c9bcbad
hex8972020

144121888 has 24 divisors (see below), whose sum is σ = 290663100. Its totient is φ = 70302720.

The previous prime is 144121867. The next prime is 144121931. The reversal of 144121888 is 888121441.

It can be written as a sum of positive squares in 2 ways, for example, as 108743184 + 35378704 = 10428^2 + 5948^2 .

It is a super-2 number, since 2×1441218882 = 41542237201369088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53613 + ... + 56236.

Almost surely, 2144121888 is an apocalyptic number.

It is an amenable number.

144121888 is an abundant number, since it is smaller than the sum of its proper divisors (146541212).

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

144121888 is a wasteful number, since it uses less digits than its factorization.

144121888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109900 (or 109892 counting only the distinct ones).

The product of its digits is 16384, while the sum is 37.

The square root of 144121888 is about 12005.0775924190. The cubic root of 144121888 is about 524.2961246014.

The spelling of 144121888 in words is "one hundred forty-four million, one hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 109849 219698 439396 878792 1757584 3515168 4503809 9007618 18015236 36030472 72060944 144121888