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144284080 = 2451803551
BaseRepresentation
bin10001001100110…
…01100110110000
3101001111101112211
420212121212300
5243414042310
622152301504
73401252203
oct1046314660
9331441484
10144284080
1174498846
12403a1894
1323b7a2c5
141523b93a
15ca00c8a
hex89999b0

144284080 has 20 divisors (see below), whose sum is σ = 335460672. Its totient is φ = 57713600.

The previous prime is 144284059. The next prime is 144284089. The reversal of 144284080 is 80482441.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (144284089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901696 + ... + 901855.

Almost surely, 2144284080 is an apocalyptic number.

144284080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144284080 is an abundant number, since it is smaller than the sum of its proper divisors (191176592).

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

144284080 is a wasteful number, since it uses less digits than its factorization.

144284080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803564 (or 1803558 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 144284080 is about 12011.8308346397. The cubic root of 144284080 is about 524.4927284591.

The spelling of 144284080 in words is "one hundred forty-four million, two hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1803551 3607102 7214204 9017755 14428408 18035510 28856816 36071020 72142040 144284080