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144531918 = 23314291873
BaseRepresentation
bin10001001110101…
…10000111001110
3101001221222112000
420213112013032
5244000010133
622201453130
73403333566
oct1047260716
9331858460
10144531918
1174647a73
12404a11a6
1323c3605b
14152a3da6
15ca4e413
hex89d61ce

144531918 has 32 divisors (see below), whose sum is σ = 321578400. Its totient is φ = 48117888.

The previous prime is 144531899. The next prime is 144531923. The reversal of 144531918 is 819135441.

144531918 is a `hidden beast` number, since 14 + 453 + 191 + 8 = 666.

144531918 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76230 + ... + 78102.

It is an arithmetic number, because the mean of its divisors is an integer number (10049325).

Almost surely, 2144531918 is an apocalyptic number.

144531918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

144531918 is an abundant number, since it is smaller than the sum of its proper divisors (177046482).

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

144531918 is a wasteful number, since it uses less digits than its factorization.

144531918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3307 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 144531918 is about 12022.1428206456. The cubic root of 144531918 is about 524.7928652261.

The spelling of 144531918 in words is "one hundred forty-four million, five hundred thirty-one thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 1429 1873 2858 3746 4287 5619 8574 11238 12861 16857 25722 33714 38583 50571 77166 101142 2676517 5353034 8029551 16059102 24088653 48177306 72265959 144531918