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414134040533 = 1933223795773
BaseRepresentation
bin1100000011011000100…
…11111111011111010101
31110120221201021000121112
412001230103333133111
523241121303244113
6514130041424405
741630425156163
oct6015423773725
91416851230545
10414134040533
1114a6a6962234
126831879b105
133008b94bb35
14160893ac233
15ab8c6a75a8
hex606c4ff7d5

414134040533 has 8 divisors (see below), whose sum is σ = 414537838008. Its totient is φ = 413730442944.

The previous prime is 414134040371. The next prime is 414134040571. The reversal of 414134040533 is 335040431414.

It can be written as a sum of positive squares in 4 ways, for example, as 121991628529 + 292142412004 = 349273^2 + 540502^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 414134040533 - 28 = 414134040277 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414134040533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414134040233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4276235 + ... + 4372007.

It is an arithmetic number, because the mean of its divisors is an integer number (51817229751).

Almost surely, 2414134040533 is an apocalyptic number.

It is an amenable number.

414134040533 is a deficient number, since it is larger than the sum of its proper divisors (403797475).

414134040533 is a wasteful number, since it uses less digits than its factorization.

414134040533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99943.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 414134040533 its reverse (335040431414), we get a palindrome (749174471947).

The spelling of 414134040533 in words is "four hundred fourteen billion, one hundred thirty-four million, forty thousand, five hundred thirty-three".

Divisors: 1 1933 2237 95773 4324121 185129209 214244201 414134040533