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144818180 = 225132931901
BaseRepresentation
bin10001010000111…
…00000000000100
3101002111112012022
420220130000010
5244033140210
622211542312
73405635303
oct1050340004
9332445168
10144818180
1174823051
12405ba998
1324006440
141533a43a
15caa9155
hex8a1c004

144818180 has 48 divisors (see below), whose sum is σ = 328802544. Its totient is φ = 53260800.

The previous prime is 144818161. The next prime is 144818221. The reversal of 144818180 is 81818441.

It can be written as a sum of positive squares in 8 ways, for example, as 7974976 + 136843204 = 2824^2 + 11698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144818180.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75230 + ... + 77130.

It is an arithmetic number, because the mean of its divisors is an integer number (6850053).

Almost surely, 2144818180 is an apocalyptic number.

144818180 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 144818180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164401272).

144818180 is an abundant number, since it is smaller than the sum of its proper divisors (183984364).

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

144818180 is a wasteful number, since it uses less digits than its factorization.

144818180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 144818180 is about 12034.0425460441. The cubic root of 144818180 is about 525.1391075067.

The spelling of 144818180 in words is "one hundred forty-four million, eight hundred eighteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 586 1172 1465 1901 2930 3802 3809 5860 7604 7618 9505 15236 19010 19045 24713 38020 38090 49426 76180 98852 123565 247130 494260 556993 1113986 2227972 2784965 5569930 7240909 11139860 14481818 28963636 36204545 72409090 144818180