Search a number
-
+
115141214036331 = 3372194580547163
BaseRepresentation
bin11010001011100001100111…
…001010010110000101101011
3120002200101121011210020001000
4122023201213022112011223
5110042433201243130311
61044515050555130043
733152451423006600
oct3213414712260553
9502611534706030
10115141214036331
11337621296642aa
1210ab717b743923
134c32a015c49b2
142060c1625a6a7
15d4a149515056
hex68b86729616b

115141214036331 has 48 divisors (see below), whose sum is σ = 208872950678400. Its totient is φ = 62332085780496.

The previous prime is 115141214036227. The next prime is 115141214036333. The reversal of 115141214036331 is 133630412141511.

It is a happy number.

115141214036331 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 1 + 2 + 14 + 0 + 3 + 633 + 1 = 666.

It is not a de Polignac number, because 115141214036331 - 29 = 115141214035819 is a prime.

It is a super-2 number, since 2×1151412140363312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115141214036333) 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 47 ways as a sum of consecutive naturals, for example, 2290248445 + ... + 2290298718.

It is an arithmetic number, because the mean of its divisors is an integer number (4351519805800).

Almost surely, 2115141214036331 is an apocalyptic number.

115141214036331 is a deficient number, since it is larger than the sum of its proper divisors (93731736642069).

115141214036331 is a wasteful number, since it uses less digits than its factorization.

115141214036331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580547205 (or 4580547192 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 115141214036331 its reverse (133630412141511), we get a palindrome (248771626177842).

The spelling of 115141214036331 in words is "one hundred fifteen trillion, one hundred forty-one billion, two hundred fourteen million, thirty-six thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 399 441 513 931 1197 1323 2793 3591 8379 25137 4580547163 13741641489 32063830141 41224924467 87030396097 96191490423 123674773401 224446810987 261091188291 288574471269 609212772679 673340432961 783273564873 865723413807 1827638318037 2020021298883 2349820694619 4264489408753 5482914954111 6060063896649 12793468226259 16448744862333 38380404678777 115141214036331