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13414120440001 = 409461641110989
BaseRepresentation
bin1100001100110011011111…
…1000100100000011000001
31202111101012010011120110121
43003030313320210003001
53224234104313040001
644310210054500241
72553065260304101
oct303146770440301
952441163146417
1013414120440001
114301995312716
1216078b5964681
13763c3b8548a8
14345365693201
15183deaa546a1
hexc3337e240c1

13414120440001 has 16 divisors (see below), whose sum is σ = 13497231963600. Its totient is φ = 13331345817600.

The previous prime is 13414120439999. The next prime is 13414120440089. The reversal of 13414120440001 is 10004402141431.

It can be written as a sum of positive squares in 8 ways, for example, as 6215926566976 + 7198193873025 = 2493176^2 + 2682945^2 .

It is a cyclic number.

It is not a de Polignac number, because 13414120440001 - 21 = 13414120439999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13414120440701) 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 15 ways as a sum of consecutive naturals, for example, 120804415 + ... + 120915403.

It is an arithmetic number, because the mean of its divisors is an integer number (843576997725).

Almost surely, 213414120440001 is an apocalyptic number.

It is an amenable number.

13414120440001 is a deficient number, since it is larger than the sum of its proper divisors (83111523599).

13414120440001 is a wasteful number, since it uses less digits than its factorization.

13414120440001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112500.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13414120440001 its reverse (10004402141431), we get a palindrome (23418522581432).

The spelling of 13414120440001 in words is "thirteen trillion, four hundred fourteen billion, one hundred twenty million, four hundred forty thousand, one".

Divisors: 1 409 461 641 110989 188549 262169 295501 45394501 51165929 71143949 120859909 20926864961 29097875141 32797360489 13414120440001