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144133014314331 = 3272287825624037
BaseRepresentation
bin100000110001011010010101…
…000111100101110101011011
3200220022222111120211112001200
4200301122111013211311123
5122342433403131024311
61230313443115245243
742234160313231040
oct4061322507456533
9626288446745050
10144133014314331
1141a1a517049a09
12141b9b3aa49823
1362568b9a376b3
14278410a1871c7
15119e36cc7a556
hex8316951e5d5b

144133014314331 has 12 divisors (see below), whose sum is σ = 237933864899952. Its totient is φ = 82361722465296.

The previous prime is 144133014314297. The next prime is 144133014314369. The reversal of 144133014314331 is 133413410331441.

144133014314331 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 3 + 3 + 0 + 1 + 4 + 314 + 331 = 666.

144133014314331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144133014314331 - 214 = 144133014297947 is a prime.

It is a super-2 number, since 2×1441330143143312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144133014314381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143912811956 + ... + 1143912812081.

It is an arithmetic number, because the mean of its divisors is an integer number (19827822074996).

Almost surely, 2144133014314331 is an apocalyptic number.

144133014314331 is a deficient number, since it is larger than the sum of its proper divisors (93800850585621).

144133014314331 is a wasteful number, since it uses less digits than its factorization.

144133014314331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287825624050 (or 2287825624047 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 144133014314331 its reverse (133413410331441), we get a palindrome (277546424645772).

The spelling of 144133014314331 in words is "one hundred forty-four trillion, one hundred thirty-three billion, fourteen million, three hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 2287825624037 6863476872111 16014779368259 20590430616333 48044338104777 144133014314331