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4400131322431 = 1323103142875323
BaseRepresentation
bin100000000000111110001…
…0000111011001000111111
3120120122111201100221102201
41000001330100323020333
51034042432104304211
613205220432532331
7632620233063265
oct100017420731077
916518451327381
104400131322431
1114470a34694a9
125b09370b10a7
1325bc136c6450
14112d78b28435
15796ce1940c1
hex4007c43b23f

4400131322431 has 16 divisors (see below), whose sum is σ = 4992635321856. Its totient is φ = 3847346670816.

The previous prime is 4400131322429. The next prime is 4400131322557. The reversal of 4400131322431 is 1342231310044.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4400131322431 - 21 = 4400131322429 is a prime.

It is a super-2 number, since 2×44001313224312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4400131322431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400131322231) 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, 71406865 + ... + 71468458.

It is an arithmetic number, because the mean of its divisors is an integer number (312039707616).

Almost surely, 24400131322431 is an apocalyptic number.

4400131322431 is a deficient number, since it is larger than the sum of its proper divisors (592503999425).

4400131322431 is a wasteful number, since it uses less digits than its factorization.

4400131322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142875462.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4400131322431 its reverse (1342231310044), we get a palindrome (5742362632475).

The spelling of 4400131322431 in words is "four trillion, four hundred billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 13 23 103 299 1339 2369 30797 142875323 1857379199 3286132429 14716158269 42719721577 191310057497 338471640187 4400131322431