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344199443112 = 23327682935403
BaseRepresentation
bin1010000001000111110…
…00101011001010101000
31012220102211222101012200
411000203320223022220
521114410024134422
6422042324340200
733603403664460
oct5004370531250
91186384871180
10344199443112
11122a79681088
125685b844660
13265c4c23545
141293333cba0
158e47bb52ac
hex5023e2b2a8

344199443112 has 48 divisors (see below), whose sum is σ = 1065379230240. Its totient is φ = 98342697888.

The previous prime is 344199443069. The next prime is 344199443113. The reversal of 344199443112 is 211344991443.

344199443112 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 99 + 443 + 112 = 666.

It is a super-2 number, since 2×3441994431122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (344199443113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341467198 + ... + 341468205.

It is an arithmetic number, because the mean of its divisors is an integer number (22195400630).

Almost surely, 2344199443112 is an apocalyptic number.

It is an amenable number.

344199443112 is an abundant number, since it is smaller than the sum of its proper divisors (721179787128).

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

344199443112 is a wasteful number, since it uses less digits than its factorization.

344199443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682935422 (or 682935415 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 344199443112 in words is "three hundred forty-four billion, one hundred ninety-nine million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 682935403 1365870806 2048806209 2731741612 4097612418 4780547821 5463483224 6146418627 8195224836 9561095642 12292837254 14341643463 16390449672 19122191284 24585674508 28683286926 38244382568 43024930389 49171349016 57366573852 86049860778 114733147704 172099721556 344199443112