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34123224140 = 22538319792251
BaseRepresentation
bin11111110001111001…
…110001010001001100
310021002002212101120022
4133301321301101030
51024341021133030
623402003041312
72315414422325
oct376171612114
9107062771508
1034123224140
1113520741395
126743970238
1332aa69c0b5
141919cb744c
15d4aadede5
hex7f1e7144c

34123224140 has 48 divisors (see below), whose sum is σ = 71914106880. Its totient is φ = 13600728000.

The previous prime is 34123224133. The next prime is 34123224181. The reversal of 34123224140 is 4142232143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15158015 + ... + 15160265.

It is an arithmetic number, because the mean of its divisors is an integer number (1498210560).

Almost surely, 234123224140 is an apocalyptic number.

It is an amenable number.

34123224140 is an abundant number, since it is smaller than the sum of its proper divisors (37790882740).

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

34123224140 is a wasteful number, since it uses less digits than its factorization.

34123224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34123224140 its reverse (4142232143), we get a palindrome (38265456283).

The spelling of 34123224140 in words is "thirty-four billion, one hundred twenty-three million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 383 766 1532 1915 1979 2251 3830 3958 4502 7660 7916 9004 9895 11255 19790 22510 39580 45020 757957 862133 1515914 1724266 3031828 3448532 3789785 4310665 4454729 7579570 8621330 8909458 15159140 17242660 17818916 22273645 44547290 89094580 1706161207 3412322414 6824644828 8530806035 17061612070 34123224140