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314132232341 = 2141846117341
BaseRepresentation
bin1001001001000111011…
…11010111100010010101
31010000211102012210222202
410210203233113202111
520121320322413331
6400151011534245
731460326630034
oct4444357274225
91100742183882
10314132232341
1111124a501664
1250a6a2ba385
1323812958375
14112bddda71b
158288211ecb
hex4923bd7895

314132232341 has 8 divisors (see below), whose sum is σ = 314334224568. Its totient is φ = 313930296000.

The previous prime is 314132232331. The next prime is 314132232361. The reversal of 314132232341 is 143232231413.

It can be written as a sum of positive squares in 4 ways, for example, as 248049818116 + 66082414225 = 498046^2 + 257065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314132232341 - 210 = 314132231317 is a prime.

It is a super-3 number, since 3×3141322323413 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314132232301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18106331 + ... + 18123671.

It is an arithmetic number, because the mean of its divisors is an integer number (39291778071).

Almost surely, 2314132232341 is an apocalyptic number.

It is an amenable number.

314132232341 is a deficient number, since it is larger than the sum of its proper divisors (201992227).

314132232341 is a wasteful number, since it uses less digits than its factorization.

314132232341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27943.

The product of its digits is 10368, while the sum is 29.

Adding to 314132232341 its reverse (143232231413), we get a palindrome (457364463754).

The spelling of 314132232341 in words is "three hundred fourteen billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 2141 8461 17341 18115001 37127081 146722201 314132232341