Search a number
-
+
13131013144404 = 22361671492517159
BaseRepresentation
bin1011111100010100110101…
…0111111011111101010100
31201111022102212211211202010
42333011031113323331110
53210114303331110104
643532145410544220
72523453514063461
oct277051527737524
951438385754663
1013131013144404
114202916660251
121580a65898070
1374333171cc7c
14335789ca0668
1517b87b426489
hexbf14d5fbf54

13131013144404 has 192 divisors, whose sum is σ = 31949455104000. Its totient is φ = 4195160640000.

The previous prime is 13131013144393. The next prime is 13131013144409. The reversal of 13131013144404 is 40444131013131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131013144409) 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, 1834192977 + ... + 1834200135.

It is an arithmetic number, because the mean of its divisors is an integer number (166403412000).

Almost surely, 213131013144404 is an apocalyptic number.

It is an amenable number.

13131013144404 is an abundant number, since it is smaller than the sum of its proper divisors (18818441959596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131013144404 is a wasteful number, since it uses less digits than its factorization.

13131013144404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13131013144404 its reverse (40444131013131), we get a palindrome (53575144157535).

The spelling of 13131013144404 in words is "thirteen trillion, one hundred thirty-one billion, thirteen million, one hundred forty-four thousand, four hundred four".