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42435116000405 = 510534180567141
BaseRepresentation
bin10011010011000001100100…
…00000111110010010010101
312120020202110012021212211222
421221200302000332102111
521030224104144003110
6230130231223140125
711636556506401532
oct1151406200762225
9176222405255758
1042435116000405
11125806a4779097
1249142625a4645
131a8a7ca71741b
14a69c28bd1d89
154d8c7c438c55
hex26983203e495

42435116000405 has 8 divisors (see below), whose sum is σ = 50922623235384. Its totient is φ = 33947770110400.

The previous prime is 42435116000401. The next prime is 42435116000429. The reversal of 42435116000405 is 50400061153424.

It can be written as a sum of positive squares in 4 ways, for example, as 4404386387569 + 38030729612836 = 2098663^2 + 6166906^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42435116000405 - 22 = 42435116000401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435116000401) by changing a digit.

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, 39756866 + ... + 40810275.

It is an arithmetic number, because the mean of its divisors is an integer number (6365327904423).

Almost surely, 242435116000405 is an apocalyptic number.

It is an amenable number.

42435116000405 is a deficient number, since it is larger than the sum of its proper divisors (8487507234979).

42435116000405 is a wasteful number, since it uses less digits than its factorization.

42435116000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80672487.

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 42435116000405 its reverse (50400061153424), we get a palindrome (92835177153829).

The spelling of 42435116000405 in words is "forty-two trillion, four hundred thirty-five billion, one hundred sixteen million, four hundred five", and thus it is an aban number.

Divisors: 1 5 105341 526705 80567141 402835705 8487023200081 42435116000405