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313441404431 = 1372317398731
BaseRepresentation
bin1001000111110101001…
…00000100011000001111
31002222001021022010020212
410203322210010120033
520113411444420211
6355554253033035
731434240656351
oct4437244043017
91088037263225
10313441404431
11110a25557401
12508b6a8577b
13237327aaa5c
141125636d0d1
15824775238b
hex48fa90460f

313441404431 has 8 divisors (see below), whose sum is σ = 315746120784. Its totient is φ = 311136932160.

The previous prime is 313441404421. The next prime is 313441404449. The reversal of 313441404431 is 134404144313.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313441404431 is a prime.

It is a super-4 number, since 4×3134414044314 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313441404421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3125336 + ... + 3224066.

It is an arithmetic number, because the mean of its divisors is an integer number (39468265098).

Almost surely, 2313441404431 is an apocalyptic number.

313441404431 is a deficient number, since it is larger than the sum of its proper divisors (2304716353).

313441404431 is a wasteful number, since it uses less digits than its factorization.

313441404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122041.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 313441404431 its reverse (134404144313), we get a palindrome (447845548744).

The spelling of 313441404431 in words is "three hundred thirteen billion, four hundred forty-one million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 137 23173 98731 3174701 13526147 2287893463 313441404431