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34042410120 = 2335283686751
BaseRepresentation
bin11111101101000101…
…011111010010001000
310020212110210121120110
4133231011133102020
51024204324110440
623345554554320
72313413466045
oct375505372210
9106773717513
1034042410120
111348a064644
1267208989a0
133296a15354
14190d27c1cc
15d4397a080
hex7ed15f488

34042410120 has 32 divisors (see below), whose sum is σ = 102127230720. Its totient is φ = 9077976000.

The previous prime is 34042410113. The next prime is 34042410131. The reversal of 34042410120 is 2101424043.

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 7 ways as a sum of consecutive naturals, for example, 141843256 + ... + 141843495.

It is an arithmetic number, because the mean of its divisors is an integer number (3191475960).

Almost surely, 234042410120 is an apocalyptic number.

34042410120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042410120 is an abundant number, since it is smaller than the sum of its proper divisors (68084820600).

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

34042410120 is a wasteful number, since it uses less digits than its factorization.

34042410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283686765 (or 283686761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34042410120 its reverse (2101424043), we get a palindrome (36143834163).

The spelling of 34042410120 in words is "thirty-four billion, forty-two million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283686751 567373502 851060253 1134747004 1418433755 1702120506 2269494008 2836867510 3404241012 4255301265 5673735020 6808482024 8510602530 11347470040 17021205060 34042410120