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12342340414001 = 1317613445720441
BaseRepresentation
bin1011001110011010110011…
…0100001110101000110001
31121200220201220222000111002
42303212230310032220301
53104204103121222001
642125554245131345
72412463462351163
oct263465464165061
947626656860432
1012342340414001
113a293a2443894
1214740409b9b55
136b6b54425cb0
1430953007a933
151660bc7bc46b
hexb39acd0ea31

12342340414001 has 32 divisors (see below), whose sum is σ = 14100430101408. Its totient is φ = 10702339522560.

The previous prime is 12342340413983. The next prime is 12342340414007. The reversal of 12342340414001 is 10041404324321.

12342340414001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2960984004001 + 9381356410000 = 1720751^2 + 3062900^2 .

It is not a de Polignac number, because 12342340414001 - 214 = 12342340397617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12342340414007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603792941 + ... + 603813381.

It is an arithmetic number, because the mean of its divisors is an integer number (440638440669).

Almost surely, 212342340414001 is an apocalyptic number.

It is an amenable number.

12342340414001 is a deficient number, since it is larger than the sum of its proper divisors (1758089687407).

12342340414001 is a wasteful number, since it uses less digits than its factorization.

12342340414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25541.

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

Adding to 12342340414001 its reverse (10041404324321), we get a palindrome (22383744738322).

The spelling of 12342340414001 in words is "twelve trillion, three hundred forty-two billion, three hundred forty million, four hundred fourteen thousand, one".

Divisors: 1 13 17 221 613 4457 7969 10421 20441 57941 75769 135473 265733 347497 984997 2732141 4517461 12530333 35517833 46446397 91105537 162894329 213015661 603803161 1184371981 1548794129 2769203593 20134323677 55847694181 726020024353 949410801077 12342340414001