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34042121092 = 22723318792777
BaseRepresentation
bin11111101101000100…
…011000101110000100
310020212110020221002201
4133231010120232010
51024204240333332
623345544444244
72313411153310
oct375504305604
9106773227081
1034042121092
1113489987481
126720779684
133296943925
14190d204b40
15d4391e5e7
hex7ed118b84

34042121092 has 48 divisors (see below), whose sum is σ = 68437474560. Its totient is φ = 14513905152.

The previous prime is 34042121081. The next prime is 34042121101. The reversal of 34042121092 is 29012124043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 34042121092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12257208 + ... + 12259984.

It is an arithmetic number, because the mean of its divisors is an integer number (1425780720).

Almost surely, 234042121092 is an apocalyptic number.

It is an amenable number.

34042121092 is an abundant number, since it is smaller than the sum of its proper divisors (34395353468).

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

34042121092 is a wasteful number, since it uses less digits than its factorization.

34042121092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 34042121092 in words is "thirty-four billion, forty-two million, one hundred twenty-one thousand, ninety-two".

Divisors: 1 2 4 7 14 28 233 466 932 1631 1879 2777 3262 3758 5554 6524 7516 11108 13153 19439 26306 38878 52612 77756 437807 647041 875614 1294082 1751228 2588164 3064649 4529287 5217983 6129298 9058574 10435966 12258596 18117148 20871932 36525881 73051762 146103524 1215790039 2431580078 4863160156 8510530273 17021060546 34042121092