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311400414100997 = 1325690193241669
BaseRepresentation
bin100011011001101111000111…
…1000100001011111000000101
31111211120120220021101010221022
41012303132033010023320011
5311303441022002212442
63022143213023400525
7122406636361446104
oct10663361704137005
91454516807333838
10311400414100997
11902491a0627a61
122ab135a0753145
131049ac18ba4b80
1456c7c0916603b
15260038ce5d3d2
hex11b378f10be05

311400414100997 has 8 divisors (see below), whose sum is σ = 335355601088760. Its totient is φ = 287445414110400.

The previous prime is 311400414100903. The next prime is 311400414101089. The reversal of 311400414100997 is 799001414004113.

It can be written as a sum of positive squares in 4 ways, for example, as 5074774431076 + 306325639669921 = 2252726^2 + 17502161^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-311400414100997 is a prime.

It is a super-2 number, since 2×3114004141009972 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311400414109997) 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, 43281122 + ... + 49960547.

It is an arithmetic number, because the mean of its divisors is an integer number (41919450136095).

Almost surely, 2311400414100997 is an apocalyptic number.

It is an amenable number.

311400414100997 is a deficient number, since it is larger than the sum of its proper divisors (23955186987763).

311400414100997 is a wasteful number, since it uses less digits than its factorization.

311400414100997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93498583.

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 311400414100997 in words is "three hundred eleven trillion, four hundred billion, four hundred fourteen million, one hundred thousand, nine hundred ninety-seven".

Divisors: 1 13 256901 3339713 93241669 1212141697 23953878007769 311400414100997