Search a number
-
+
744233404321 = 11377351248753
BaseRepresentation
bin10101101010001111100…
…01001000011110100001
32122010222220110011020001
422311013301020132201
544143142222414241
61325521320420001
7104524540362661
oct12650761103641
92563886404201
10744233404321
1126769a399aa0
121002a2317601
13552475c2874
1428041c221a1
151455c56b431
hexad47c487a1

744233404321 has 16 divisors (see below), whose sum is σ = 833950770048. Its totient is φ = 658197792000.

The previous prime is 744233404309. The next prime is 744233404337. The reversal of 744233404321 is 123404332447.

It is a cyclic number.

It is not a de Polignac number, because 744233404321 - 219 = 744232880033 is a prime.

It is a super-2 number, since 2×7442334043212 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (744233404361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2867481 + ... + 3116233.

It is an arithmetic number, because the mean of its divisors is an integer number (52121923128).

Almost surely, 2744233404321 is an apocalyptic number.

It is an amenable number.

744233404321 is a deficient number, since it is larger than the sum of its proper divisors (89717365727).

744233404321 is a wasteful number, since it uses less digits than its factorization.

744233404321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256152.

The product of its (nonzero) digits is 193536, while the sum is 37.

Adding to 744233404321 its reverse (123404332447), we get a palindrome (867637736768).

The spelling of 744233404321 in words is "seven hundred forty-four billion, two hundred thirty-three million, four hundred four thousand, three hundred twenty-one".

Divisors: 1 11 37 407 7351 80861 248753 271987 2736283 2991857 9203861 101242471 1828583303 20114416333 67657582211 744233404321