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34511120040 = 23352312504029
BaseRepresentation
bin100000001001000001…
…011110011010101000
310022002010202112201010
4200021001132122220
51031134321320130
623504301023520
72331134452215
oct401101363250
9108063675633
1034511120040
11136aa69a311
126831854ba0
13333cb631b7
14195560ab0c
15d6ebb20b0
hex80905e6a8

34511120040 has 64 divisors (see below), whose sum is σ = 108034819200. Its totient is φ = 8802835712.

The previous prime is 34511119997. The next prime is 34511120089. The reversal of 34511120040 is 4002111543.

It is a junction number, because it is equal to n+sod(n) for n = 34511119989 and 34511120016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6249255 + ... + 6254774.

It is an arithmetic number, because the mean of its divisors is an integer number (1688044050).

Almost surely, 234511120040 is an apocalyptic number.

34511120040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34511120040 is an abundant number, since it is smaller than the sum of its proper divisors (73523699160).

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

34511120040 is a wasteful number, since it uses less digits than its factorization.

34511120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504066 (or 12504062 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 34511120040 its reverse (4002111543), we get a palindrome (38513231583).

The spelling of 34511120040 in words is "thirty-four billion, five hundred eleven million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 12504029 25008058 37512087 50016116 62520145 75024174 100032232 125040290 150048348 187560435 250080580 287592667 300096696 375120870 500161160 575185334 750241740 862778001 1150370668 1437963335 1500483480 1725556002 2300741336 2875926670 3451112004 4313890005 5751853340 6902224008 8627780010 11503706680 17255560020 34511120040