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3401235440341 = 13733373734429
BaseRepresentation
bin110001011111101001011…
…011100010001011010101
3110001011011221112111222121
4301133221123202023111
5421211212233042331
611122301143255541
7500505533141014
oct61375133421325
913034157474877
103401235440341
1110a1501810752
1246b222a4a5b1
131b89730c0a1b
14ba8991b2a7b
155d719828c11
hex317e96e22d5

3401235440341 has 8 divisors (see below), whose sum is σ = 3404726410680. Its totient is φ = 3397745948352.

The previous prime is 3401235440333. The next prime is 3401235440363. The reversal of 3401235440341 is 1430445321043.

It can be written as a sum of positive squares in 4 ways, for example, as 2465622252900 + 935613187441 = 1570230^2 + 967271^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3401235440341 - 23 = 3401235440333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3401235440297 and 3401235440306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401235440741) 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 7 ways as a sum of consecutive naturals, for example, 4263915 + ... + 4998343.

It is an arithmetic number, because the mean of its divisors is an integer number (425590801335).

Almost surely, 23401235440341 is an apocalyptic number.

It is an amenable number.

3401235440341 is a deficient number, since it is larger than the sum of its proper divisors (3490970339).

3401235440341 is a wasteful number, since it uses less digits than its factorization.

3401235440341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739175.

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 3401235440341 in words is "three trillion, four hundred one billion, two hundred thirty-five million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 1373 3373 734429 4631129 1008371017 2477229017 3401235440341