Search a number
-
+
431142140121 = 371129255125229
BaseRepresentation
bin1100100011000100001…
…00101111100011011001
31112012212001000000001220
412101202010233203121
524030434341440441
6530021452202253
743102050503310
oct6214204574331
91465761000056
10431142140121
11156934553190
126b684769389
133186c519aa4
1416c20199277
15b33592e466
hex646212f8d9

431142140121 has 64 divisors (see below), whose sum is σ = 741737779200. Its totient is φ = 216153504000.

The previous prime is 431142140113. The next prime is 431142140131. The reversal of 431142140121 is 121041241134.

It is a happy number.

It is not a de Polignac number, because 431142140121 - 23 = 431142140113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 431142140091 and 431142140100.

It is not an unprimeable number, because it can be changed into a prime (431142140131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17076535 + ... + 17101763.

It is an arithmetic number, because the mean of its divisors is an integer number (11589652800).

Almost surely, 2431142140121 is an apocalyptic number.

It is an amenable number.

431142140121 is a deficient number, since it is larger than the sum of its proper divisors (310595639079).

431142140121 is a wasteful number, since it uses less digits than its factorization.

431142140121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27830.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 431142140121 its reverse (121041241134), we get a palindrome (552183381255).

The spelling of 431142140121 in words is "four hundred thirty-one billion, one hundred forty-two million, one hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 2551 6699 7653 17857 25229 28061 53571 73979 75687 84183 176603 196427 221937 277519 517853 529809 589281 731641 813769 832557 1553559 1942633 2194923 2441307 5121487 5696383 5827899 8048051 15364461 17089149 24144153 56336357 64359179 169009071 193077537 450514253 707950969 1351542759 1866416191 2123852907 4955656783 5599248573 13064913337 14866970349 20530578101 39194740011 61591734303 143714046707 431142140121