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414013415106 = 23311929238829
BaseRepresentation
bin1100000011001010001…
…11110101111011000010
31110120122022021121122010
412001211013311323002
523240344413240411
6514110052153350
741624431651434
oct6014507657302
91416568247563
10414013415106
1114a6448635a5
12682a4308856
133006c966345
141607736c654
15ab81ccb7a6
hex60651f5ec2

414013415106 has 32 divisors (see below), whose sum is σ = 831586953600. Its totient is φ = 137412078080.

The previous prime is 414013415059. The next prime is 414013415113. The reversal of 414013415106 is 601514310414.

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 15 ways as a sum of consecutive naturals, for example, 1614100 + ... + 1852928.

It is an arithmetic number, because the mean of its divisors is an integer number (25987092300).

Almost surely, 2414013415106 is an apocalyptic number.

414013415106 is an abundant number, since it is smaller than the sum of its proper divisors (417573538494).

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

414013415106 is a wasteful number, since it uses less digits than its factorization.

414013415106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240074.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 414013415106 in words is "four hundred fourteen billion, thirteen million, four hundred fifteen thousand, one hundred six".

Divisors: 1 2 3 6 311 622 929 933 1858 1866 2787 5574 238829 288919 477658 577838 716487 866757 1432974 1733514 74275819 148551638 221872141 222827457 443744282 445654914 665616423 1331232846 69002235851 138004471702 207006707553 414013415106