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2430402354341 = 131756919327409
BaseRepresentation
bin100011010111011111010…
…001001101110010100101
322121100021220210211201122
4203113133101031302211
5304304431000314331
65100302245103325
7340406431103453
oct43273721156245
98540256724648
102430402354341
1185780084aa65
123330409b7b45
131482557218a0
14858bc6b59d3
15433489cb17b
hex235df44dca5

2430402354341 has 16 divisors (see below), whose sum is σ = 2776189172400. Its totient is φ = 2107769806848.

The previous prime is 2430402354311. The next prime is 2430402354371. The reversal of 2430402354341 is 1434532040342.

It is an interprime number because it is at equal distance from previous prime (2430402354311) and next prime (2430402354371).

It can be written as a sum of positive squares in 8 ways, for example, as 410746401025 + 2019655953316 = 640895^2 + 1421146^2 .

It is a cyclic number.

It is not a de Polignac number, because 2430402354341 - 210 = 2430402353317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430402354311) 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, 9537956 + ... + 9789453.

It is an arithmetic number, because the mean of its divisors is an integer number (173511823275).

Almost surely, 22430402354341 is an apocalyptic number.

It is an amenable number.

2430402354341 is a deficient number, since it is larger than the sum of its proper divisors (345786818059).

2430402354341 is a wasteful number, since it uses less digits than its factorization.

2430402354341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19328008.

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 2430402354341 its reverse (1434532040342), we get a palindrome (3864934394683).

The spelling of 2430402354341 in words is "two trillion, four hundred thirty billion, four hundred two million, three hundred fifty-four thousand, three hundred forty-one".

Divisors: 1 13 17 221 569 7397 9673 125749 19327409 251256317 328565953 4271357389 10997295721 142964844373 186954027257 2430402354341