Search a number
-
+
10341214004196 = 2232287255944561
BaseRepresentation
bin1001011001111100000001…
…1000110010001111100100
31100121121110222120121202100
42112133000120302033210
52323412301241113241
633554404345212100
72115061631463405
oct226370030621744
940547428517670
1010341214004196
11332775878a709
1211b0243791030
135a02316c515a
1427a735b759ac
1512deea98d9b6
hex967c06323e4

10341214004196 has 18 divisors (see below), whose sum is σ = 26140290955142. Its totient is φ = 3447071334720.

The previous prime is 10341214004161. The next prime is 10341214004197. The reversal of 10341214004196 is 69140041214301.

10341214004196 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 121 + 400 + 41 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8129854664100 + 2211359340096 = 2851290^2 + 1487064^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 287255944561 = 10341214004196 / (1 + 0 + 3 + 4 + 1 + 2 + 1 + 4 + 0 + 0 + 4 + 1 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10341214004196.

It is not an unprimeable number, because it can be changed into a prime (10341214004197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143627972245 + ... + 143627972316.

Almost surely, 210341214004196 is an apocalyptic number.

It is an amenable number.

10341214004196 is an abundant number, since it is smaller than the sum of its proper divisors (15799076950946).

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

10341214004196 is a wasteful number, since it uses less digits than its factorization.

10341214004196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287255944571 (or 287255944566 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10341214004196 its reverse (69140041214301), we get a palindrome (79481255218497).

The spelling of 10341214004196 in words is "ten trillion, three hundred forty-one billion, two hundred fourteen million, four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 287255944561 574511889122 861767833683 1149023778244 1723535667366 2585303501049 3447071334732 5170607002098 10341214004196