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313140323041313 = 1009434719713903
BaseRepresentation
bin100011100110011001010100…
…1101110000100000000100001
31112001201220220112000012020212
41013030302221232010000201
5312020442340144310223
63025554402314343505
7122646433056434255
oct10714625156040041
91461656815005225
10313140323041313
119085a079895049
122b15483872ab95
131059600c859811
145748102d3a265
152630772278278
hex11ccca9b84021

313140323041313 has 8 divisors (see below), whose sum is σ = 313451830348800. Its totient is φ = 312828818033088.

The previous prime is 313140323041223. The next prime is 313140323041391.

It is a happy number.

313140323041313 is nontrivially palindromic in base 10.

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 313140323041313 - 240 = 312040811413537 is a prime.

It is a super-2 number, since 2×3131403230413132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313140323041313.

It is not an unprimeable number, because it can be changed into a prime (313140313041313) 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 7 ways as a sum of consecutive naturals, for example, 438274520 + ... + 438988422.

It is an arithmetic number, because the mean of its divisors is an integer number (39181478793600).

Almost surely, 2313140323041313 is an apocalyptic number.

It is an amenable number.

313140323041313 is a deficient number, since it is larger than the sum of its proper divisors (311507307487).

313140323041313 is a wasteful number, since it uses less digits than its factorization.

313140323041313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149631.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 313140323041313 in words is "three hundred thirteen trillion, one hundred forty billion, three hundred twenty-three million, forty-one thousand, three hundred thirteen".

Divisors: 1 1009 434719 713903 438631471 720328127 310347198257 313140323041313