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313014401414 = 211131576971057
BaseRepresentation
bin1001000111000010001…
…11001011100110000110
31002220221111211010020022
410203201013023212012
520112023141321124
6355444040535142
731420534340531
oct4434107134606
91086844733208
10313014401414
11110826518750
12507b7a814b2
13236951a3650
1411215779a18
158220007c5e
hex48e11cb986

313014401414 has 32 divisors (see below), whose sum is σ = 555119290656. Its totient is φ = 130498168320.

The previous prime is 313014401387. The next prime is 313014401431. The reversal of 313014401414 is 414104410313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3440627 + ... + 3530430.

It is an arithmetic number, because the mean of its divisors is an integer number (17347477833).

Almost surely, 2313014401414 is an apocalyptic number.

313014401414 is a deficient number, since it is larger than the sum of its proper divisors (242104889242).

313014401414 is a wasteful number, since it uses less digits than its factorization.

313014401414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971240.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 313014401414 its reverse (414104410313), we get a palindrome (727118811727).

The spelling of 313014401414 in words is "three hundred thirteen billion, fourteen million, four hundred one thousand, four hundred fourteen".

Divisors: 1 2 11 13 22 26 143 157 286 314 1727 2041 3454 4082 22451 44902 6971057 13942114 76681627 90623741 153363254 181247482 996861151 1094455949 1993722302 2188911898 12039015439 14227927337 24078030878 28455854674 156507200707 313014401414