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10414120332421 = 1310095869135277
BaseRepresentation
bin1001011110001011100111…
…1100010110110010000101
31100212120122221200211110001
42113202321330112302011
52331111104301114141
634052103021001301
72123252416161241
oct227427174266205
940776587624401
1010414120332421
113355670483133
1212023ab9b3231
135a707ccb7a40
1428009076d421
15130d662dda31
hex978b9f16c85

10414120332421 has 16 divisors (see below), whose sum is σ = 11228317500400. Its totient is φ = 9601799574528.

The previous prime is 10414120332383. The next prime is 10414120332457. The reversal of 10414120332421 is 12423302141401.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5165847122500 + 5248273209921 = 2272850^2 + 2290911^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414120332421 - 213 = 10414120324229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10414120332421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414120332461) 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 15 ways as a sum of consecutive naturals, for example, 76916035 + ... + 77051311.

It is an arithmetic number, because the mean of its divisors is an integer number (701769843775).

Almost surely, 210414120332421 is an apocalyptic number.

It is an amenable number.

10414120332421 is a deficient number, since it is larger than the sum of its proper divisors (814197167979).

10414120332421 is a wasteful number, since it uses less digits than its factorization.

10414120332421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142168.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10414120332421 its reverse (12423302141401), we get a palindrome (22837422473822).

The spelling of 10414120332421 in words is "ten trillion, four hundred fourteen billion, one hundred twenty million, three hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 13 1009 5869 13117 76297 135277 1758601 5921821 76983673 136494493 793940713 1774428409 10321229269 801086179417 10414120332421