Search a number
-
+
4314444221131 = 11379318112899
BaseRepresentation
bin111110110010001000111…
…010100100101011001011
3120021110100000222012002021
4332302020322210223023
51031141440210034011
613102010040545311
7623464643534362
oct76621072445313
916243300865067
104314444221131
111413822316000
12598202782237
13253b0928b745
1410cb6a9507d9
1577366798471
hex3ec88ea4acb

4314444221131 has 32 divisors (see below), whose sum is σ = 4807518336000. Its totient is φ = 3871056103200.

The previous prime is 4314444221099. The next prime is 4314444221149. The reversal of 4314444221131 is 1311224444134.

It is not a de Polignac number, because 4314444221131 - 25 = 4314444221099 is a prime.

It is a super-2 number, since 2×43144442211312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4314444021131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334472520 + ... + 334485418.

It is an arithmetic number, because the mean of its divisors is an integer number (150234948000).

Almost surely, 24314444221131 is an apocalyptic number.

4314444221131 is a deficient number, since it is larger than the sum of its proper divisors (493074114869).

4314444221131 is a wasteful number, since it uses less digits than its factorization.

4314444221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16192 (or 16170 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 4314444221131 its reverse (1311224444134), we get a palindrome (5625668665265).

The spelling of 4314444221131 in words is "four trillion, three hundred fourteen billion, four hundred forty-four million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 79 121 869 1331 3181 9559 12899 34991 105149 141889 251299 384901 1019021 1560779 2764289 4233911 11209231 17168569 30407179 41031719 123301541 334478969 451348909 1356316951 3241505801 4964837999 35656563811 54613217989 392222201921 4314444221131