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34415314120 = 2351178216623
BaseRepresentation
bin100000000011010100…
…000000010011001000
310021211110111002200201
4200003110000103020
51030440310022440
623450555341544
72325562225525
oct400324002310
9107743432621
1034415314120
1113660602970
1268057518b4
13332605a6c5
1419469cc14c
15d6658a19a
hex8035004c8

34415314120 has 32 divisors (see below), whose sum is σ = 84473953920. Its totient is φ = 12514659520.

The previous prime is 34415314093. The next prime is 34415314133. The reversal of 34415314120 is 2141351443.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39107872 + ... + 39108751.

It is an arithmetic number, because the mean of its divisors is an integer number (2639811060).

Almost surely, 234415314120 is an apocalyptic number.

It is an amenable number.

34415314120 is an abundant number, since it is smaller than the sum of its proper divisors (50058639800).

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

34415314120 is a wasteful number, since it uses less digits than its factorization.

34415314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78216645 (or 78216641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 34415314120 its reverse (2141351443), we get a palindrome (36556665563).

The spelling of 34415314120 in words is "thirty-four billion, four hundred fifteen million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 78216623 156433246 312866492 391083115 625732984 782166230 860382853 1564332460 1720765706 3128664920 3441531412 4301914265 6883062824 8603828530 17207657060 34415314120