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2014400204322 = 2311172517152851
BaseRepresentation
bin11101010100000011100…
…110111100111000100010
321010120112000101000122220
4131110003212330320202
5231000442423014242
64141222551211510
7265351500136032
oct35240346747042
97116460330586
102014400204322
117073364444a0
122864a2676b96
13117c59a5682c
146d6d71818c2
15375ec314bec
hex1d5039bce22

2014400204322 has 64 divisors (see below), whose sum is σ = 4672128480768. Its totient is φ = 572228000000.

The previous prime is 2014400204279. The next prime is 2014400204351. The reversal of 2014400204322 is 2234020044102.

It is a junction number, because it is equal to n+sod(n) for n = 2014400204292 and 2014400204301.

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, 3294804 + ... + 3858047.

It is an arithmetic number, because the mean of its divisors is an integer number (73002007512).

Almost surely, 22014400204322 is an apocalyptic number.

2014400204322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2014400204322 is an abundant number, since it is smaller than the sum of its proper divisors (2657728276446).

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

2014400204322 is a wasteful number, since it uses less digits than its factorization.

2014400204322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153135.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2014400204322 its reverse (2234020044102), we get a palindrome (4248420248424).

The spelling of 2014400204322 in words is "two trillion, fourteen billion, four hundred million, two hundred four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 251 374 502 561 753 1122 1506 2761 4267 5522 8283 8534 12801 16566 25602 46937 93874 140811 281622 7152851 14305702 21458553 42917106 78681361 121598467 157362722 236044083 243196934 364795401 472088166 729590802 1337583137 1795365601 2675166274 3590731202 4012749411 5386096803 8025498822 10772193606 19749021611 30521215217 39498043222 59247064833 61042430434 91563645651 118494129666 183127291302 335733367387 671466734774 1007200102161 2014400204322