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3404395438116 = 2234113162718423
BaseRepresentation
bin110001100010100101110…
…001111110000000100100
3110001110100011122001000020
4301202211301332000210
5421234200213004431
611123542505115140
7500650043523351
oct61424561760044
913043304561006
103404395438116
1110a2883521862
1246b965188ab0
131b90579949aa
14baab8b47628
155d851e74696
hex318a5c7e024

3404395438116 has 96 divisors (see below), whose sum is σ = 8201733636096. Its totient is φ = 1098363552000.

The previous prime is 3404395438109. The next prime is 3404395438153. The reversal of 3404395438116 is 6118345934043.

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, 404174281 + ... + 404182703.

It is an arithmetic number, because the mean of its divisors is an integer number (85434725376).

Almost surely, 23404395438116 is an apocalyptic number.

It is an amenable number.

3404395438116 is an abundant number, since it is smaller than the sum of its proper divisors (4797338197980).

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

3404395438116 is a wasteful number, since it uses less digits than its factorization.

3404395438116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 3404395438116 in words is "three trillion, four hundred four billion, three hundred ninety-five million, four hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 41 82 123 131 164 246 262 393 492 524 786 1572 5371 6271 8423 10742 12542 16113 16846 18813 21484 25084 25269 32226 33692 37626 50538 64452 75252 101076 257111 345343 514222 690686 771333 821501 1028444 1036029 1103413 1381372 1542666 1643002 2072058 2206826 2464503 3085332 3286004 3310239 4144116 4413652 4929006 6620478 9858012 13240956 33681541 45239933 52820633 67363082 90479866 101044623 105641266 134726164 135719799 158461899 180959732 202089246 211282532 271439598 316923798 404178492 542879196 633847596 2165645953 4331291906 6496937859 6919502923 8662583812 12993875718 13839005846 20758508769 25987751436 27678011692 41517017538 83034035076 283699619843 567399239686 851098859529 1134798479372 1702197719058 3404395438116