Search a number
-
+
115045242505245 = 3251312971321114781
BaseRepresentation
bin11010001010001000001110…
…110100000000100000011101
3120002100012212202102022020200
4122022020032310000200131
5110034400124040131440
61044403015500134113
733142513233315453
oct3212101664004035
9502305782368220
10115045242505245
1133725460197558
1210aa0656b37339
134c26948593a90
14205a3102409d3
15d478cdcc5c30
hex68a20ed0081d

115045242505245 has 96 divisors (see below), whose sum is σ = 215081260858464. Its totient is φ = 56550655180800.

The previous prime is 115045242505231. The next prime is 115045242505289. The reversal of 115045242505245 is 542505242540511.

115045242505245 is a `hidden beast` number, since 1 + 1 + 50 + 4 + 5 + 24 + 2 + 50 + 524 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18201162103524 + 96844080401721 = 4266282^2 + 9840939^2 .

It is not a de Polignac number, because 115045242505245 - 27 = 115045242505117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 115045242505245.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1002244755 + ... + 1002359535.

It is an arithmetic number, because the mean of its divisors is an integer number (2240429800609).

Almost surely, 2115045242505245 is an apocalyptic number.

115045242505245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115045242505245 is a deficient number, since it is larger than the sum of its proper divisors (100036018353219).

115045242505245 is a wasteful number, since it uses less digits than its factorization.

115045242505245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117423 (or 117420 counting only the distinct ones).

The product of its (nonzero) digits is 1600000, while the sum is 45.

The spelling of 115045242505245 in words is "one hundred fifteen trillion, forty-five billion, two hundred forty-two million, five hundred five thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1297 1321 3891 3963 6485 6605 11673 11889 16861 17173 19455 19815 50583 51519 58365 59445 84305 85865 114781 151749 154557 252915 257595 344343 573905 758745 772785 1033029 1492153 1713337 1721715 4476459 5140011 5165145 7460765 8566685 13429377 15420033 22273381 22382295 25700055 66820143 67146885 77100165 111366905 148870957 151625701 200460429 334100715 446612871 454877103 744354785 758128505 1002302145 1339838613 1364631309 1935322441 1971134113 2233064355 2274385515 5805967323 5913402339 6699193065 6823156545 9676612205 9855670565 17417901969 17740207017 29029836615 29567011695 87089509845 88701035085 196658534197 589975602591 983292670985 1769926807773 2556560944561 2949878012955 7669682833683 8849634038865 12782804722805 23009048501049 38348414168415 115045242505245