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4314130044401 = 171811549905137
BaseRepresentation
bin111110110001110110001…
…100000101010111110001
3120021102112010210100122002
4332301312030011113301
51031140314242410101
613101514535023345
7623454110221262
oct76616614052761
916242463710562
104314130044401
111413680a39411
1259813550ab55
13253a89168c58
1410cb3ad2a969
1577348dd8d6b
hex3ec763055f1

4314130044401 has 16 divisors (see below), whose sum is σ = 4596109736400. Its totient is φ = 4035313520640.

The previous prime is 4314130044397. The next prime is 4314130044403. The reversal of 4314130044401 is 1044400314134.

It can be written as a sum of positive squares in 8 ways, for example, as 317249436001 + 3996880608400 = 563249^2 + 1999220^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314130044401 - 22 = 4314130044397 is a prime.

It is a super-2 number, since 2×43141300444012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4314130044403) 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, 4313705 + ... + 5218841.

It is an arithmetic number, because the mean of its divisors is an integer number (287256858525).

Almost surely, 24314130044401 is an apocalyptic number.

It is an amenable number.

4314130044401 is a deficient number, since it is larger than the sum of its proper divisors (281979691999).

4314130044401 is a wasteful number, since it uses less digits than its factorization.

4314130044401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906884.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4314130044401 its reverse (1044400314134), we get a palindrome (5358530358535).

The spelling of 4314130044401 in words is "four trillion, three hundred fourteen billion, one hundred thirty million, forty-four thousand, four hundred one".

Divisors: 1 17 181 1549 3077 26333 280369 905137 4766273 15387329 163829797 1402057213 2785106549 23834972621 253772355553 4314130044401