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413240011331321 = 29127131120872773
BaseRepresentation
bin101110111110101101111000…
…0000101010001011011111001
32000012011100200220102120001202
41131331123300011101123321
5413131011020400100241
64022515501311223545
7153020414466234536
oct13575336005213371
92005140626376052
10413240011331321
1110a742117284a59
123a420823817bb5
131497749aa443c5
147408ccd62bd8d
1532b94c370dd9b
hex177d6f01516f9

413240011331321 has 8 divisors (see below), whose sum is σ = 427523293459080. Its totient is φ = 398958970974592.

The previous prime is 413240011331299. The next prime is 413240011331333. The reversal of 413240011331321 is 123133110042314.

It can be written as a sum of positive squares in 4 ways, for example, as 153480259351225 + 259759751980096 = 12388715^2 + 16117064^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413240011331321 is a prime.

It is a super-4 number, since 4×4132400113313214 (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413240011331341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560067710 + ... + 560805063.

It is an arithmetic number, because the mean of its divisors is an integer number (53440411682385).

Almost surely, 2413240011331321 is an apocalyptic number.

It is an amenable number.

413240011331321 is a deficient number, since it is larger than the sum of its proper divisors (14283282127759).

413240011331321 is a wasteful number, since it uses less digits than its factorization.

413240011331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120885515.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 413240011331321 its reverse (123133110042314), we get a palindrome (536373121373635).

The spelling of 413240011331321 in words is "four hundred thirteen trillion, two hundred forty billion, eleven million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 29 12713 368677 1120872773 32505310417 14249655563149 413240011331321