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434142312330241 = 619521747514661
BaseRepresentation
bin110001010110110011010001…
…0010011101111010000000001
32002221011121012012102000002001
41202231212202103233100001
5423400441423424031431
64135202120331224001
7160305514134231604
oct14255464223572001
92087147165360061
10434142312330241
111163707a2275389
1240837831ba8001
13158325a1418c58
14792c8586c033b
15352d087adde61
hex18ad9a24ef401

434142312330241 has 8 divisors (see below), whose sum is σ = 441305745916968. Its totient is φ = 426980373792000.

The previous prime is 434142312330191. The next prime is 434142312330247. The reversal of 434142312330241 is 142033213241434.

It can be written as a sum of positive squares in 4 ways, for example, as 14168606902641 + 419973705427600 = 3764121^2 + 20493260^2 .

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 434142312330241 - 27 = 434142312330113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434142312330241.

It is not an unprimeable number, because it can be changed into a prime (434142312330247) 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, 373176550 + ... + 374338111.

It is an arithmetic number, because the mean of its divisors is an integer number (55163218239621).

Almost surely, 2434142312330241 is an apocalyptic number.

It is an amenable number.

434142312330241 is a deficient number, since it is larger than the sum of its proper divisors (7163433586727).

434142312330241 is an equidigital number, since it uses as much as digits as its factorization.

434142312330241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747524243.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 434142312330241 its reverse (142033213241434), we get a palindrome (576175525571675).

The spelling of 434142312330241 in words is "four hundred thirty-four trillion, one hundred forty-two billion, three hundred twelve million, three hundred thirty thousand, two hundred forty-one".

Divisors: 1 61 9521 580781 747514661 45598394321 7117087087381 434142312330241