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313320142444401 = 34231491128727723
BaseRepresentation
bin100011100111101101000011…
…1110010101001011101110001
31112002101010001102221100010000
41013033122013302221131301
5312031414122431210101
63030213141504300213
7122665430133231621
oct10717320762513561
91462333042840100
10313320142444401
1190919365197084
122b183661911669
13105a9c68c4b591
145752ac0b64881
152635298bab486
hex11cf687ca9771

313320142444401 has 40 divisors (see below), whose sum is σ = 491673796574400. Its totient is φ = 198457422992928.

The previous prime is 313320142444399. The next prime is 313320142444417. The reversal of 313320142444401 is 104444241023313.

313320142444401 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 2 + 0 + 1 + 4 + 244 + 4 + 401 = 666.

It is not a de Polignac number, because 313320142444401 - 21 = 313320142444399 is a prime.

It is a super-2 number, since 2×3133201424444012 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313320142444501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564086275 + ... + 564641448.

It is an arithmetic number, because the mean of its divisors is an integer number (12291844914360).

Almost surely, 2313320142444401 is an apocalyptic number.

It is an amenable number.

313320142444401 is a deficient number, since it is larger than the sum of its proper divisors (178353654129999).

313320142444401 is a wasteful number, since it uses less digits than its factorization.

313320142444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128727907 (or 1128727898 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 313320142444401 its reverse (104444241023313), we get a palindrome (417764383467714).

The spelling of 313320142444401 in words is "three hundred thirteen trillion, three hundred twenty billion, one hundred forty-two million, four hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 23 27 69 81 149 207 447 621 1341 1863 3427 4023 10281 12069 30843 92529 277587 1128727723 3386183169 10158549507 25960737629 30475648521 77882212887 91426945563 168180430727 233646638661 504541292181 700939915983 1513623876543 2102819747949 3868149906721 4540871629629 11604449720163 13622614888887 34813349160489 104440047481467 313320142444401