Search a number
-
+
993040040399 = 11214342126163
BaseRepresentation
bin11100111001101011100…
…11001000000111001111
310111221012200000211210112
432130311303020013033
5112232221222243044
62040110222230235
7131513313033431
oct16346563100717
93457180024715
10993040040399
1135316723a270
1214055b12537b
1372849371954
14360c5d50651
151ac7070b09e
hexe735cc81cf

993040040399 has 8 divisors (see below), whose sum is σ = 1083821947392. Its totient is φ = 902342390040.

The previous prime is 993040040383. The next prime is 993040040401.

993040040399 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 993040040399 - 24 = 993040040383 is a prime.

It is a super-2 number, since 2×9930400403992 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993040040099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21039509 + ... + 21086654.

It is an arithmetic number, because the mean of its divisors is an integer number (135477743424).

Almost surely, 2993040040399 is an apocalyptic number.

993040040399 is a deficient number, since it is larger than the sum of its proper divisors (90781906993).

993040040399 is a wasteful number, since it uses less digits than its factorization.

993040040399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42128317.

The product of its (nonzero) digits is 944784, while the sum is 50.

It can be divided in two parts, 9930400 and 40399, that added together give a palindrome (9970799).

The spelling of 993040040399 in words is "nine hundred ninety-three billion, forty million, forty thousand, three hundred ninety-nine".

Divisors: 1 11 2143 23573 42126163 463387793 90276367309 993040040399