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114642531416 = 23717343327329
BaseRepresentation
bin110101011000100111…
…0100011010001011000
3101221220122011000020002
41222301032203101120
53334241442001131
6124355511152132
711165643303320
oct1526116432130
9357818130202
10114642531416
114468a7a1736
121a275675648
13aa7028900a
1457979d2280
152eae98c6cb
hex1ab13a3458

114642531416 has 64 divisors (see below), whose sum is σ = 247662273600. Its totient is φ = 48733913088.

The previous prime is 114642531413. The next prime is 114642531461. The reversal of 114642531416 is 614135246411.

It is a self number, because there is not a number n which added to its sum of digits gives 114642531416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114642531413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181240 + ... + 4208568.

It is an arithmetic number, because the mean of its divisors is an integer number (3869723025).

Almost surely, 2114642531416 is an apocalyptic number.

It is an amenable number.

114642531416 is an abundant number, since it is smaller than the sum of its proper divisors (133019742184).

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

114642531416 is a wasteful number, since it uses less digits than its factorization.

114642531416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27948 (or 27944 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

Adding to 114642531416 its reverse (614135246411), we get a palindrome (728777777827).

The spelling of 114642531416 in words is "one hundred fourteen billion, six hundred forty-two million, five hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 173 346 433 692 866 1211 1384 1732 2422 3031 3464 4844 6062 9688 12124 24248 27329 54658 74909 109316 149818 191303 218632 299636 382606 524363 599272 765212 1048726 1530424 2097452 4194904 4727917 9455834 11833457 18911668 23666914 33095419 37823336 47333828 66190838 82834199 94667656 132381676 165668398 264763352 331336796 662673592 2047188061 4094376122 8188752244 14330316427 16377504488 28660632854 57321265708 114642531416