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144123312330 = 23251601370137
BaseRepresentation
bin1000011000111001101…
…0110011100011001010
3111210000012102211220200
42012032122303203022
54330131031443310
6150113114433030
713261336641024
oct2061632634312
9453005384820
10144123312330
1156138941788
1223b22732776
131078abca18a
146d930c1014
153b37c039c0
hex218e6b38ca

144123312330 has 24 divisors (see below), whose sum is σ = 374720612292. Its totient is φ = 38432883264.

The previous prime is 144123312323. The next prime is 144123312343. The reversal of 144123312330 is 33213321441.

It is a happy number.

144123312330 is a `hidden beast` number, since 1 + 4 + 4 + 12 + 3 + 312 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134873297001 + 9250015329 = 367251^2 + 96177^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144123312294 and 144123312303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800684979 + ... + 800685158.

Almost surely, 2144123312330 is an apocalyptic number.

144123312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144123312330 is an abundant number, since it is smaller than the sum of its proper divisors (230597299962).

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

144123312330 is a wasteful number, since it uses less digits than its factorization.

144123312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601370150 (or 1601370147 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 144123312330 its reverse (33213321441), we get a palindrome (177336633771).

The spelling of 144123312330 in words is "one hundred forty-four billion, one hundred twenty-three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1601370137 3202740274 4804110411 8006850685 9608220822 14412331233 16013701370 24020552055 28824662466 48041104110 72061656165 144123312330