Search a number
-
+
4431023404431 = 313223438836897
BaseRepresentation
bin100000001111010110110…
…0100110111010110001111
3120200121020122021022020220
41000132231210313112033
51040044213442420211
613231330053242423
7635062614332301
oct100365544672617
916617218238226
104431023404431
111459206216988
125b6918933413
13261ac7841c00
1411466982b971
157a3db283806
hex407ad93758f

4431023404431 has 48 divisors (see below), whose sum is σ = 6830851458816. Its totient is φ = 2547571074048.

The previous prime is 4431023404403. The next prime is 4431023404439. The reversal of 4431023404431 is 1344043201344.

It is not a de Polignac number, because 4431023404431 - 25 = 4431023404399 is a prime.

It is a super-2 number, since 2×44310234044312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4431023404392 and 4431023404401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431023404439) 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 47 ways as a sum of consecutive naturals, for example, 3917026 + ... + 4919871.

It is an arithmetic number, because the mean of its divisors is an integer number (142309405392).

Almost surely, 24431023404431 is an apocalyptic number.

4431023404431 is a deficient number, since it is larger than the sum of its proper divisors (2399828054385).

4431023404431 is a wasteful number, since it uses less digits than its factorization.

4431023404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836992 (or 8836979 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4431023404431 its reverse (1344043201344), we get a palindrome (5775066605775).

The spelling of 4431023404431 in words is "four trillion, four hundred thirty-one billion, twenty-three million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 3 13 23 39 43 69 129 169 299 507 559 897 989 1677 2967 3887 7267 11661 12857 21801 38571 167141 501423 8836897 26510691 114879661 203248631 344638983 379986571 609745893 1139959713 1493435593 2642232203 4480306779 4939825423 7926696609 8739691133 14819476269 26219073399 34349018639 64217730499 103047055917 113615984729 192653191497 340847954187 1477007801477 4431023404431