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34054441020 = 22325189191339
BaseRepresentation
bin11111101101110011…
…011000100000111100
310020220022102211212100
4133231303120200330
51024220414103040
623351104505100
72313620654415
oct375563304074
9106808384770
1034054441020
1113495931636
12672491b190
133299368422
141910ad080c
15d44a54b30
hex7edcd883c

34054441020 has 36 divisors (see below), whose sum is σ = 103298471640. Its totient is φ = 9081184224.

The previous prime is 34054441009. The next prime is 34054441037. The reversal of 34054441020 is 2014445043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94595490 + ... + 94595849.

It is an arithmetic number, because the mean of its divisors is an integer number (2869401990).

Almost surely, 234054441020 is an apocalyptic number.

34054441020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34054441020 is an abundant number, since it is smaller than the sum of its proper divisors (69244030620).

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

34054441020 is a wasteful number, since it uses less digits than its factorization.

34054441020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189191354 (or 189191349 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34054441020 its reverse (2014445043), we get a palindrome (36068886063).

The spelling of 34054441020 in words is "thirty-four billion, fifty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 189191339 378382678 567574017 756765356 945956695 1135148034 1702722051 1891913390 2270296068 2837870085 3405444102 3783826780 5675740170 6810888204 8513610255 11351480340 17027220510 34054441020