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144180980 = 22518139829
BaseRepresentation
bin10001001100000…
…00011011110100
3101001022011010022
420212000123310
5243402242410
622150144312
73400342466
oct1046003364
9331264108
10144180980
1174428339
1240352098
1323b423b8
1415212136
15c9d0455
hex89806f4

144180980 has 24 divisors (see below), whose sum is σ = 304460520. Its totient is φ = 57352320.

The previous prime is 144180973. The next prime is 144180983. The reversal of 144180980 is 89081441.

It can be written as a sum of positive squares in 4 ways, for example, as 8737936 + 135443044 = 2956^2 + 11638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144180980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144180983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16295 + ... + 23534.

It is an arithmetic number, because the mean of its divisors is an integer number (12685855).

Almost surely, 2144180980 is an apocalyptic number.

144180980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144180980 is an abundant number, since it is smaller than the sum of its proper divisors (160279540).

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

144180980 is a wasteful number, since it uses less digits than its factorization.

144180980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40019 (or 40017 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 144180980 is about 12007.5384654808. The cubic root of 144180980 is about 524.3677710707.

The spelling of 144180980 in words is "one hundred forty-four million, one hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 39829 79658 159316 199145 398290 796580 7209049 14418098 28836196 36045245 72090490 144180980