Search a number
-
+
12403002414411 = 337557117817507
BaseRepresentation
bin1011010001111100110010…
…0011011001010101001011
31121220201022120012221002000
42310133030203121111023
53111202322104230121
642213505522242043
72420041651013220
oct264371443312513
947821276187060
1012403002414411
113a520a1576624
1214839504b6323
136bc7a10793ab
1430c446815947
1516796d1d8526
hexb47cc8d954b

12403002414411 has 32 divisors (see below), whose sum is σ = 21037494228480. Its totient is φ = 7074705600288.

The previous prime is 12403002414373. The next prime is 12403002414419. The reversal of 12403002414411 is 11441420030421.

12403002414411 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 3 + 0 + 0 + 241 + 4 + 411 = 666.

It is not a de Polignac number, because 12403002414411 - 215 = 12403002381643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12403002414419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58803481 + ... + 59014026.

It is an arithmetic number, because the mean of its divisors is an integer number (657421694640).

Almost surely, 212403002414411 is an apocalyptic number.

12403002414411 is a deficient number, since it is larger than the sum of its proper divisors (8634491814069).

12403002414411 is a wasteful number, since it uses less digits than its factorization.

12403002414411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117818080 (or 117818074 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12403002414411 its reverse (11441420030421), we get a palindrome (23844422444832).

The spelling of 12403002414411 in words is "twelve trillion, four hundred three billion, two million, four hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 557 1671 3899 5013 11697 15039 35091 105273 117817507 353452521 824722549 1060357563 2474167647 3181072689 7422502941 22267508823 65624351399 196873054197 459370459793 590619162591 1378111379379 1771857487773 4134334138137 12403002414411