Search a number
-
+
131413313013441 = 3479198746024039
BaseRepresentation
bin11101111000010100001011…
…110101110100011011000001
3122020021222201201210020102120
4131320110023311310123001
5114211033431112412231
61143254235332434453
736452204255126004
oct3570241365643301
9566258651706376
10131413313013441
1138966089292568
12128a4944778a29
1358432b7366bb4
14246461c93353b
15102d566389d96
hex77850bd746c1

131413313013441 has 16 divisors (see below), whose sum is σ = 175671919718400. Its totient is φ = 87381974931408.

The previous prime is 131413313013439. The next prime is 131413313013503. The reversal of 131413313013441 is 144310313314131.

It is not a de Polignac number, because 131413313013441 - 21 = 131413313013439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131413313018441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20156701 + ... + 25867338.

It is an arithmetic number, because the mean of its divisors is an integer number (10979494982400).

Almost surely, 2131413313013441 is an apocalyptic number.

It is an amenable number.

131413313013441 is a deficient number, since it is larger than the sum of its proper divisors (44258606704959).

131413313013441 is a wasteful number, since it uses less digits than its factorization.

131413313013441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46026508.

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 131413313013441 its reverse (144310313314131), we get a palindrome (275723626327572).

The spelling of 131413313013441 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred thirteen million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 479 1437 1987 5961 951773 2855319 46024039 138072117 22045514681 66136544043 91449765493 274349296479 43804437671147 131413313013441