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144434880 = 2633573229
BaseRepresentation
bin10001001101111…
…10011011000000
3101001210001102000
420212332123000
5243433404010
622155424000
73402450642
oct1046763300
9331701360
10144434880
1174591077
1240455000
1323c00b35
141527a892
15ca307c0
hex89be6c0

144434880 has 224 divisors, whose sum is σ = 518769600. Its totient is φ = 37822464.

The previous prime is 144434869. The next prime is 144434887. The reversal of 144434880 is 88434441.

144434880 is a `hidden beast` number, since 144 + 434 + 8 + 80 = 666.

It is a super-2 number, since 2×1444348802 = 41722869121228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144434887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630606 + ... + 630834.

Almost surely, 2144434880 is an apocalyptic number.

144434880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259384800).

144434880 is an abundant number, since it is smaller than the sum of its proper divisors (374334720).

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

144434880 is a wasteful number, since it uses less digits than its factorization.

144434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 144434880 is about 12018.1063400188. The cubic root of 144434880 is about 524.6753911716.

The spelling of 144434880 in words is "one hundred forty-four million, four hundred thirty-four thousand, eight hundred eighty".