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2140413413301 = 3399103799921
BaseRepresentation
bin11111001001011010100…
…101001100011110110101
321120121210002110022011000
4133021122211030132311
5240032031313211201
64315143051433513
7310432303552662
oct37113245143665
97517702408130
102140413413301
11755820631509
122a69b0155899
13126abc983007
147584cd74a69
153aa25161d86
hex1f25a94c7b5

2140413413301 has 16 divisors (see below), whose sum is σ = 3171018795520. Its totient is φ = 1426926093120.

The previous prime is 2140413413263. The next prime is 2140413413321. The reversal of 2140413413301 is 1033143140412.

2140413413301 is a `hidden beast` number, since 2 + 14 + 0 + 4 + 1 + 341 + 3 + 301 = 666.

It is not a de Polignac number, because 2140413413301 - 214 = 2140413396917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140413413321) 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, 2275821 + ... + 3075741.

It is an arithmetic number, because the mean of its divisors is an integer number (198188674720).

Almost surely, 22140413413301 is an apocalyptic number.

It is an amenable number.

2140413413301 is a deficient number, since it is larger than the sum of its proper divisors (1030605382219).

2140413413301 is an equidigital number, since it uses as much as digits as its factorization.

2140413413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899033 (or 899027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2140413413301 its reverse (1033143140412), we get a palindrome (3173556553713).

The spelling of 2140413413301 in words is "two trillion, one hundred forty billion, four hundred thirteen million, four hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 27 99103 297309 799921 891927 2399763 2675781 7199289 21597867 79274570863 237823712589 713471137767 2140413413301