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314538232041 = 32112288832169
BaseRepresentation
bin1001001001110111111…
…00001000100011101001
31010001212201011201212200
410210323330020203221
520123133241411131
6400255153530413
731503356600445
oct4447374104351
91101781151780
10314538232041
111114386a5200
1250b62273a09
1323878aba787
141131bcc3825
1582adbad2e6
hex493bf088e9

314538232041 has 18 divisors (see below), whose sum is σ = 499390821930. Its totient is φ = 190629230880.

The previous prime is 314538232039. The next prime is 314538232103. The reversal of 314538232041 is 140232835413.

314538232041 is a `hidden beast` number, since 31 + 45 + 382 + 3 + 204 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229341378816 + 85196853225 = 478896^2 + 291885^2 .

It is not a de Polignac number, because 314538232041 - 21 = 314538232039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314538231987 and 314538232005.

It is not an unprimeable number, because it can be changed into a prime (314538232741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144414996 + ... + 144417173.

Almost surely, 2314538232041 is an apocalyptic number.

It is an amenable number.

314538232041 is a deficient number, since it is larger than the sum of its proper divisors (184852589889).

314538232041 is a wasteful number, since it uses less digits than its factorization.

314538232041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288832197 (or 288832183 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 314538232041 in words is "three hundred fourteen billion, five hundred thirty-eight million, two hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 288832169 866496507 2599489521 3177153859 9531461577 28594384731 34948692449 104846077347 314538232041