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1431661341 = 311172551981
BaseRepresentation
bin101010101010101…
…0110101100011101
310200202220221011010
41111111112230131
510413001130331
6354021245433
750322630525
oct12525265435
93622827133
101431661341
116751543a0
1233b563879
1319a7b59b6
14d81d4685
1585a4ae46
hex55556b1d

1431661341 has 16 divisors (see below), whose sum is σ = 2204912448. Its totient is φ = 816633600.

The previous prime is 1431661339. The next prime is 1431661367.

1431661341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1431661341 - 21 = 1431661339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1431661299 and 1431661308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431661331) 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 15 ways as a sum of consecutive naturals, for example, 1275430 + ... + 1276551.

It is an arithmetic number, because the mean of its divisors is an integer number (137807028).

Almost surely, 21431661341 is an apocalyptic number.

1431661341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1431661341 is a deficient number, since it is larger than the sum of its proper divisors (773251107).

1431661341 is a wasteful number, since it uses less digits than its factorization.

1431661341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552012.

The product of its digits is 5184, while the sum is 30.

The square root of 1431661341 is about 37837.3009211809. The cubic root of 1431661341 is about 1127.0592974182.

It can be divided in two parts, 14316 and 61341, that added together give a palindrome (75657).

The spelling of 1431661341 in words is "one billion, four hundred thirty-one million, six hundred sixty-one thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 2551981 7655943 28071791 43383677 84215373 130151031 477220447 1431661341