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115242404242511 = 71347832459132019
BaseRepresentation
bin11010001100111111110110…
…100100010110010001001111
3120010001001210022000022020002
4122030333312210112101033
5110101112420441230021
61045033344000314515
733162663131403140
oct3214776644262117
9503031708008202
10115242404242511
11337a1035916977
1210b12900012a3b
134c3c409879b40
142065a953bbac7
15d4cabcea350b
hex68cff691644f

115242404242511 has 64 divisors (see below), whose sum is σ = 146660574412800. Its totient is φ = 88129074266496.

The previous prime is 115242404242489. The next prime is 115242404242513.

115242404242511 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115242404242511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115242404242513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872856860 + ... + 872988878.

It is an arithmetic number, because the mean of its divisors is an integer number (2291571475200).

Almost surely, 2115242404242511 is an apocalyptic number.

115242404242511 is a deficient number, since it is larger than the sum of its proper divisors (31418170170289).

115242404242511 is a wasteful number, since it uses less digits than its factorization.

115242404242511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134628.

The product of its (nonzero) digits is 102400, while the sum is 38.

It can be divided in two parts, 11524240 and 4242511, that added together give a palindrome (15766751).

The spelling of 115242404242511 in words is "one hundred fifteen trillion, two hundred forty-two billion, four hundred four million, two hundred forty-two thousand, five hundred eleven".

Divisors: 1 7 13 47 83 91 329 581 611 1079 2459 3901 4277 7553 17213 27307 31967 50713 115573 132019 204097 223769 354991 809011 924133 1428679 1502449 1716247 2653261 6204893 9592559 10517143 10957577 12013729 18572827 43434251 67147913 76703039 80663609 124703267 142448501 324634721 515006119 564645263 872922869 997139507 2272443047 3605042833 4220251373 6695079547 15257831887 26944681843 29541759611 46865556829 106804823209 188612772901 198351814531 350280863959 1266400046621 1388462701717 2451966047713 8864800326347 16463200606073 115242404242511