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2013414010014 = 2311892631303297
BaseRepresentation
bin11101010011001000110…
…100111010110010011110
321010110222021200011101210
4131103020310322302132
5230441432441310024
64140541041445250
7265315163465001
oct35231064726236
97113867604353
102013414010014
1170697a7a0080
12286268340826
13117b306414c4
146d6421c9538
153759095e129
hex1d4c8d3ac9e

2013414010014 has 64 divisors (see below), whose sum is σ = 4459155909120. Its totient is φ = 600975851520.

The previous prime is 2013414010007. The next prime is 2013414010031. The reversal of 2013414010014 is 4100104143102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893214 + ... + 2196510.

It is an arithmetic number, because the mean of its divisors is an integer number (69674311080).

Almost surely, 22013414010014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013414010014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229577954560).

2013414010014 is an abundant number, since it is smaller than the sum of its proper divisors (2445741899106).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013414010014 is a wasteful number, since it uses less digits than its factorization.

2013414010014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303665.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2013414010014 its reverse (4100104143102), we get a palindrome (6113518153116).

The spelling of 2013414010014 in words is "two trillion, thirteen billion, four hundred fourteen million, ten thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 89 178 263 267 526 534 789 979 1578 1958 2893 2937 5786 5874 8679 17358 23407 46814 70221 140442 257477 514954 772431 1303297 1544862 2606594 3909891 7819782 14336267 28672534 43008801 86017602 115993433 231986866 342767111 347980299 685534222 695960598 1028301333 1275927763 2056602666 2551855526 3770438221 3827783289 7540876442 7655566578 11311314663 22622629326 30506272879 61012545758 91518818637 183037637274 335569001669 671138003338 1006707005007 2013414010014