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144894980 = 2257699421
BaseRepresentation
bin10001010001011…
…10110000000100
3101002122102112202
420220232300010
5244043114410
622213334032
73406405226
oct1050566004
9332572482
10144894980
117487581a
1240637318
1324032399
141535a416
15cac1ca5
hex8a2ec04

144894980 has 24 divisors (see below), whose sum is σ = 304707480. Its totient is φ = 57876480.

The previous prime is 144894979. The next prime is 144894983. The reversal of 144894980 is 89498441.

It can be written as a sum of positive squares in 4 ways, for example, as 4519876 + 140375104 = 2126^2 + 11848^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (144894983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10670 + ... + 20090.

It is an arithmetic number, because the mean of its divisors is an integer number (12696145).

Almost surely, 2144894980 is an apocalyptic number.

144894980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144894980 is an abundant number, since it is smaller than the sum of its proper divisors (159812500).

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

144894980 is a wasteful number, since it uses less digits than its factorization.

144894980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 144894980 is about 12037.2330707684. The cubic root of 144894980 is about 525.2319217196.

The spelling of 144894980 in words is "one hundred forty-four million, eight hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 769 1538 3076 3845 7690 9421 15380 18842 37684 47105 94210 188420 7244749 14489498 28978996 36223745 72447490 144894980