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42314403320404 = 22294441787310433
BaseRepresentation
bin10011001111100000101101…
…11110101001001001010100
312112211012212112002101011221
421213300112332221021110
521021234344222223104
6225554545111340124
711625054234504055
oct1147602676511124
9175735775071157
1042314403320404
111253448a5a3a36
1248b4994081644
131a7c3009a1317
14a64056d7072c
154d5a64b08c54
hex267c16fa9254

42314403320404 has 48 divisors (see below), whose sum is σ = 76637987511120. Its totient is φ = 20418491842560.

The previous prime is 42314403320347. The next prime is 42314403320407. The reversal of 42314403320404 is 40402330441324.

42314403320404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3147083096004 + 39167320224400 = 1774002^2 + 6258380^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42314403320404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314403320407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4055817972 + ... + 4055828404.

It is an arithmetic number, because the mean of its divisors is an integer number (1596624739815).

Almost surely, 242314403320404 is an apocalyptic number.

It is an amenable number.

42314403320404 is a deficient number, since it is larger than the sum of its proper divisors (34323584190716).

42314403320404 is a wasteful number, since it uses less digits than its factorization.

42314403320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22778 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 42314403320404 its reverse (40402330441324), we get a palindrome (82716733761728).

The spelling of 42314403320404 in words is "forty-two trillion, three hundred fourteen billion, four hundred three million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 4 29 58 116 4441 7873 8882 10433 15746 17764 20866 31492 41732 128789 228317 257578 302557 456634 515156 605114 913268 1210228 34963993 46332953 69927986 82139009 92665906 139855972 164278018 185331812 328556036 1013955797 1343655637 2027911594 2382031261 2687311274 4055823188 4764062522 5374622548 9528125044 364779338969 729558677938 1459117355876 10578600830101 21157201660202 42314403320404