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344331122140 = 225251244728031
BaseRepresentation
bin1010000001010111011…
…10111111010111011100
31012220210000202100212201
411000223232333113130
521120142231402030
6422103350541244
733606563150365
oct5005356772734
91186700670781
10344331122140
11123036a3a525
1256897967824
13266162a9325
1412946a18b6c
158e545262ca
hex502bbbf5dc

344331122140 has 48 divisors (see below), whose sum is σ = 726298804224. Its totient is φ = 137122760000.

The previous prime is 344331122129. The next prime is 344331122207. The reversal of 344331122140 is 41221133443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 344331122099 and 344331122108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12269925 + ... + 12297955.

It is an arithmetic number, because the mean of its divisors is an integer number (15131225088).

Almost surely, 2344331122140 is an apocalyptic number.

It is an amenable number.

344331122140 is an abundant number, since it is smaller than the sum of its proper divisors (381967682084).

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

344331122140 is a wasteful number, since it uses less digits than its factorization.

344331122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30738 (or 30736 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344331122140 its reverse (41221133443), we get a palindrome (385552255583).

The spelling of 344331122140 in words is "three hundred forty-four billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 251 502 1004 1255 2447 2510 4894 5020 9788 12235 24470 28031 48940 56062 112124 140155 280310 560620 614197 1228394 2456788 3070985 6141970 7035781 12283940 14071562 28143124 35178905 68591857 70357810 137183714 140715620 274367428 342959285 685918570 1371837140 17216556107 34433112214 68866224428 86082780535 172165561070 344331122140