Search a number
-
+
142113141311241 = 3134513521749097
BaseRepresentation
bin100000010100000001001011…
…010011100100011100001001
3200122011212212011102111212010
4200110001023103210130021
5122111340203133424431
61222125513103010133
741635223060051322
oct4024011323443411
9618155764374763
10142113141311241
114131093242a831
1213b3258b599949
13613b29a2022c9
14271445422d449
151166a5026a846
hex81404b4e4709

142113141311241 has 8 divisors (see below), whose sum is σ = 189498275465184. Its totient is φ = 94735050682400.

The previous prime is 142113141311213. The next prime is 142113141311287.

It is a happy number.

142113141311241 is nontrivially palindromic in base 10.

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 142113141311241 - 29 = 142113141310729 is a prime.

It is a super-2 number, since 2×1421131413112412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142113141311199 and 142113141311208.

It is not an unprimeable number, because it can be changed into a prime (142113141311041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1760834196 + ... + 1760914901.

It is an arithmetic number, because the mean of its divisors is an integer number (23687284433148).

Almost surely, 2142113141311241 is an apocalyptic number.

It is an amenable number.

142113141311241 is a deficient number, since it is larger than the sum of its proper divisors (47385134153943).

142113141311241 is a wasteful number, since it uses less digits than its factorization.

142113141311241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521762551.

The product of its digits is 2304, while the sum is 30.

The spelling of 142113141311241 in words is "one hundred forty-two trillion, one hundred thirteen billion, one hundred forty-one million, three hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 13451 40353 3521749097 10565247291 47371047103747 142113141311241