Search a number
-
+
1252303413431 = 72232263183697
BaseRepresentation
bin10010001110010011000…
…110011010000010110111
311102201102011210210210212
4102032103012122002313
5131004204133212211
62355144504140035
7156322150244600
oct22162306320267
94381364723725
101252303413431
1144310a6a1804
12182855a6761b
1391126626455
144487cb34da7
15228968c838b
hex1239319a0b7

1252303413431 has 36 divisors (see below), whose sum is σ = 1528650989712. Its totient is φ = 1022823736704.

The previous prime is 1252303413379. The next prime is 1252303413457. The reversal of 1252303413431 is 1343143032521.

It is not a de Polignac number, because 1252303413431 - 210 = 1252303412407 is a prime.

It is a super-2 number, since 2×12523034134312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252303412431) 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 35 ways as a sum of consecutive naturals, for example, 6725375 + ... + 6909071.

It is an arithmetic number, because the mean of its divisors is an integer number (42462527492).

Almost surely, 21252303413431 is an apocalyptic number.

1252303413431 is a deficient number, since it is larger than the sum of its proper divisors (276347576281).

1252303413431 is a wasteful number, since it uses less digits than its factorization.

1252303413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184020 (or 183990 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 1252303413431 its reverse (1343143032521), we get a palindrome (2595446445952).

The spelling of 1252303413431 in words is "one trillion, two hundred fifty-two billion, three hundred three million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 7 23 49 161 263 529 1127 1841 3703 6049 12887 25921 42343 139127 183697 296401 973889 1285879 4225031 6817223 9001153 29575217 48312311 97175713 207026519 338186177 680229991 1111183153 2367303239 4761609937 7778282071 25557212519 54447974497 178900487633 1252303413431