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114431213310404 = 227110116619240049
BaseRepresentation
bin11010000001001100010111…
…110100100001000111000100
3120000011111222000011022101112
4122001030113310201013010
5104444320111101413104
61043212550151344152
733050245066265654
oct3201142764410704
9500144860138345
10114431213310404
1133509006775261
1210a01651982058
134bb0a81275063
142038700a84364
15d369424a986e
hex681317d211c4

114431213310404 has 48 divisors (see below), whose sum is σ = 205098950448000. Its totient is φ = 55847647296000.

The previous prime is 114431213310371. The next prime is 114431213310409. The reversal of 114431213310404 is 404013312134411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114431213310409) 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, 476579372 + ... + 476819420.

It is an arithmetic number, because the mean of its divisors is an integer number (4272894801000).

Almost surely, 2114431213310404 is an apocalyptic number.

It is an amenable number.

114431213310404 is a deficient number, since it is larger than the sum of its proper divisors (90667737137596).

114431213310404 is a wasteful number, since it uses less digits than its factorization.

114431213310404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256844 (or 256842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 114431213310404 its reverse (404013312134411), we get a palindrome (518444525444815).

The spelling of 114431213310404 in words is "one hundred fourteen trillion, four hundred thirty-one billion, two hundred thirteen million, three hundred ten thousand, four hundred four".

Divisors: 1 2 4 71 101 142 202 284 404 7171 14342 16619 28684 33238 66476 240049 480098 960196 1179949 1678519 2359898 3357038 4719796 6714076 17043479 24244949 34086958 48489898 68173916 96979796 119174849 238349698 476699396 1721391379 3442782758 3989374331 6885565516 7978748662 15957497324 283245577501 402926807431 566491155002 805853614862 1132982310004 1611707229724 28607803327601 57215606655202 114431213310404