Search a number
-
+
42331420104201 = 3299731310935977
BaseRepresentation
bin10011010000000000011010…
…10000100001011000001001
312112212211210110011120010200
421220000031100201120021
521022024222021313301
6230010441432202413
711626226024000454
oct1150001520413011
9175784713146120
1042331420104201
1112540722086518
1248b8142b39409
131a80ab32bcc67
14a64bccd7c49b
154d620d9e8c86
hex26800d421609

42331420104201 has 24 divisors (see below), whose sum is σ = 61157880405960. Its totient is φ = 28215180147456.

The previous prime is 42331420104161. The next prime is 42331420104289. The reversal of 42331420104201 is 10240102413324.

42331420104201 is a `hidden beast` number, since 4 + 2 + 3 + 31 + 4 + 201 + 0 + 420 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7259381816976 + 35072038287225 = 2694324^2 + 5922165^2 .

It is not a de Polignac number, because 42331420104201 - 237 = 42193981150729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42331420004201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176606525 + ... + 1176642501.

It is an arithmetic number, because the mean of its divisors is an integer number (2548245016915).

Almost surely, 242331420104201 is an apocalyptic number.

It is an amenable number.

42331420104201 is a deficient number, since it is larger than the sum of its proper divisors (18826460301759).

42331420104201 is a wasteful number, since it uses less digits than its factorization.

42331420104201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59065 (or 59062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42331420104201 its reverse (10240102413324), we get a palindrome (52571522517525).

The spelling of 42331420104201 in words is "forty-two trillion, three hundred thirty-one billion, four hundred twenty million, one hundred four thousand, two hundred one".

Divisors: 1 3 9 9973 13109 29919 35977 39327 89757 107931 117981 323793 130736057 358798621 392208171 471622493 1076395863 1176624513 1414867479 3229187589 4244602437 4703491122689 14110473368067 42331420104201