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34507111120 = 245431338889
BaseRepresentation
bin100000001000110010…
…001011101011010000
310022001212012212111121
4200020302023223100
51031132310023440
623504035052024
72331055414336
oct401062135320
9108055185447
1034507111120
11136a8401359
126830441014
13333c08b561
141954c85b56
15d6e66e34a
hex808c8bad0

34507111120 has 20 divisors (see below), whose sum is σ = 80229033540. Its totient is φ = 13802844416.

The previous prime is 34507111097. The next prime is 34507111123. The reversal of 34507111120 is 2111170543.

It can be written as a sum of positive squares in 2 ways, for example, as 27077360704 + 7429750416 = 164552^2 + 86196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34507111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215669365 + ... + 215669524.

It is an arithmetic number, because the mean of its divisors is an integer number (4011451677).

Almost surely, 234507111120 is an apocalyptic number.

It is an amenable number.

34507111120 is an abundant number, since it is smaller than the sum of its proper divisors (45721922420).

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

34507111120 is a wasteful number, since it uses less digits than its factorization.

34507111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431338902 (or 431338896 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 34507111120 its reverse (2111170543), we get a palindrome (36618281663).

The spelling of 34507111120 in words is "thirty-four billion, five hundred seven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431338889 862677778 1725355556 2156694445 3450711112 4313388890 6901422224 8626777780 17253555560 34507111120