Search a number
-
+
131344021442344 = 23231580345170297
BaseRepresentation
bin11101110111010011101001…
…101111011100111100101000
3122020001100212200110201022111
4131313103221233130330220
5114203420023442123334
61143202335505532104
736444202202364514
oct3567235157347450
9566040780421274
10131344021442344
1138939760a77627
1212893427044034
1358398c3920359
14246112804b144
15102b85d064064
hex7774e9bdcf28

131344021442344 has 32 divisors (see below), whose sum is σ = 256993700253120. Its totient is φ = 62812729530496.

The previous prime is 131344021442327. The next prime is 131344021442419. The reversal of 131344021442344 is 443244120443131.

It is a super-2 number, since 2×1313440214423442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131344021442297 and 131344021442306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19677397 + ... + 25492900.

It is an arithmetic number, because the mean of its divisors is an integer number (8031053132910).

Almost surely, 2131344021442344 is an apocalyptic number.

It is an amenable number.

131344021442344 is a deficient number, since it is larger than the sum of its proper divisors (125649678810776).

131344021442344 is a wasteful number, since it uses less digits than its factorization.

131344021442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45186129 (or 45186125 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 131344021442344 its reverse (443244120443131), we get a palindrome (574588141885475).

The spelling of 131344021442344 in words is "one hundred thirty-one trillion, three hundred forty-four billion, twenty-one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 23 46 92 184 15803 31606 63212 126424 363469 726938 1453876 2907752 45170297 90340594 180681188 361362376 1038916831 2077833662 4155667324 8311334648 713826203491 1427652406982 2855304813964 5710609627928 16418002680293 32836005360586 65672010721172 131344021442344