Search a number
-
+
1314500335224 = 23323131123114767
BaseRepresentation
bin10011001000001110010…
…100110101011001111000
311122122221210021210200220
4103020032110311121320
5133014044041211344
62443512332100040
7163653354331236
oct23101624653170
94578853253626
101314500335224
1146752719670a
12192913604620
1396c59277b5b
144789d2a3956
15242d6e3ac19
hex1320e535678

1314500335224 has 128 divisors (see below), whose sum is σ = 3458348974080. Its totient is φ = 415550678400.

The previous prime is 1314500335223. The next prime is 1314500335273. The reversal of 1314500335224 is 4225330054131.

It is a super-2 number, since 2×13145003352242 (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 (1314500335223) 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 31 ways as a sum of consecutive naturals, for example, 89008689 + ... + 89023455.

It is an arithmetic number, because the mean of its divisors is an integer number (27018351360).

Almost surely, 21314500335224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314500335224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729174487040).

1314500335224 is an abundant number, since it is smaller than the sum of its proper divisors (2143848638856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314500335224 is a wasteful number, since it uses less digits than its factorization.

1314500335224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16161 (or 16157 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 1314500335224 its reverse (4225330054131), we get a palindrome (5539830389355).

The spelling of 1314500335224 in words is "one trillion, three hundred fourteen billion, five hundred million, three hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 184 262 276 393 524 552 786 1048 1231 1572 2462 3013 3144 3693 4924 6026 7386 9039 9848 12052 14767 14772 18078 24104 28313 29534 29544 36156 44301 56626 59068 72312 84939 88602 113252 118136 161261 169878 177204 226504 322522 339641 339756 354408 483783 645044 679282 679512 967566 1018923 1290088 1358564 1934477 1935132 2037846 2717128 3709003 3868954 3870264 4075692 5803431 7418006 7737908 8151384 11127009 11606862 14836012 15475816 18178177 22254018 23213724 29672024 36356354 44492971 44508036 46427448 54534531 72712708 88985942 89016072 109069062 133478913 145425416 177971884 218138124 266957826 355943768 418098071 436276248 533915652 836196142 1067831304 1254294213 1672392284 2381341187 2508588426 3344784568 4762682374 5017176852 7144023561 9525364748 10034353704 14288047122 19050729496 28576094244 54770847301 57152188488 109541694602 164312541903 219083389204 328625083806 438166778408 657250167612 1314500335224