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114340442311144 = 23719353304427257
BaseRepresentation
bin11001111111110111110101…
…011100101000100111101000
3112222211211200000111210010001
4121333313311130220213220
5104441323211212424034
61043103135110032344
733040552515443110
oct3177676534504750
9488754600453101
10114340442311144
1133483566920aa5
12109a7b3a9486b4
134ba53467b50ca
14203416d60a040
15d343cd5d3a14
hex67fdf57289e8

114340442311144 has 64 divisors (see below), whose sum is σ = 258641398396800. Its totient is φ = 46292426256384.

The previous prime is 114340442311111. The next prime is 114340442311157. The reversal of 114340442311144 is 441113244043411.

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 15 ways as a sum of consecutive naturals, for example, 151838037 + ... + 152589220.

It is an arithmetic number, because the mean of its divisors is an integer number (4041271849950).

Almost surely, 2114340442311144 is an apocalyptic number.

114340442311144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114340442311144 is an abundant number, since it is smaller than the sum of its proper divisors (144300956085656).

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

114340442311144 is a wasteful number, since it uses less digits than its factorization.

114340442311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304427642 (or 304427638 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 114340442311144 its reverse (441113244043411), we get a palindrome (555453686354555).

The spelling of 114340442311144 in words is "one hundred fourteen trillion, three hundred forty billion, four hundred forty-two million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 353 532 706 1064 1412 2471 2824 4942 6707 9884 13414 19768 26828 46949 53656 93898 187796 375592 304427257 608854514 1217709028 2130990799 2435418056 4261981598 5784117883 8523963196 11568235766 17047926392 23136471532 40488825181 46272943064 80977650362 107462821721 161955300724 214925643442 323910601448 429851286884 752239752047 859702573768 1504479504094 2041793612699 3008959008188 4083587225398 6017918016376 8167174450796 14292555288893 16334348901592 28585110577786 57170221155572 114340442311144