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414024413010 = 235131061601059
BaseRepresentation
bin1100000011001011100…
…01110010111101010010
31110120200001222100220220
412001211301302331102
523240410222204020
6514111124013510
741624624305335
oct6014561627522
91416601870826
10414024413010
1114a64aa9547a
12682a7b31296
1330072017190
14160789d261c
15ab82c50240
hex6065c72f52

414024413010 has 32 divisors (see below), whose sum is σ = 1070093868480. Its totient is φ = 101913701568.

The previous prime is 414024412987. The next prime is 414024413027. The reversal of 414024413010 is 10314420414.

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, 530800140 + ... + 530800919.

It is an arithmetic number, because the mean of its divisors is an integer number (33440433390).

Almost surely, 2414024413010 is an apocalyptic number.

414024413010 is an abundant number, since it is smaller than the sum of its proper divisors (656069455470).

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

414024413010 is a wasteful number, since it uses less digits than its factorization.

414024413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061601082.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414024413010 its reverse (10314420414), we get a palindrome (424338833424).

The spelling of 414024413010 in words is "four hundred fourteen billion, twenty-four million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1061601059 2123202118 3184803177 5308005295 6369606354 10616010590 13800813767 15924015885 27601627534 31848031770 41402441301 69004068835 82804882602 138008137670 207012206505 414024413010