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114225041542041 = 3246135417774849
BaseRepresentation
bin11001111110001100010111…
…000001101000101110011001
3112222102210210112121022022200
4121332030113001220232121
5104432430341113321131
61042534132031040413
733026326004211123
oct3176142701505631
9488383715538280
10114225041542041
1133439628123151
12109896b3370109
134b974b5408c51
14202c743040213
15d313c72bd2e6
hex67e317068b99

114225041542041 has 24 divisors (see below), whose sum is σ = 165396343312200. Its totient is φ = 75963374899200.

The previous prime is 114225041542037. The next prime is 114225041542043. The reversal of 114225041542041 is 140245140522411.

It is a happy number.

114225041542041 is a `hidden beast` number, since 1 + 1 + 4 + 22 + 50 + 4 + 1 + 542 + 0 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 659871905625 + 113565169636416 = 812325^2 + 10656696^2 .

It is not a de Polignac number, because 114225041542041 - 22 = 114225041542037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114225041541987 and 114225041542005.

It is not an unprimeable number, because it can be changed into a prime (114225041542043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10804185 + ... + 18579033.

It is an arithmetic number, because the mean of its divisors is an integer number (6891514304675).

Almost surely, 2114225041542041 is an apocalyptic number.

It is an amenable number.

114225041542041 is a deficient number, since it is larger than the sum of its proper divisors (51171301770159).

114225041542041 is a wasteful number, since it uses less digits than its factorization.

114225041542041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778857 (or 7778854 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 114225041542041 in words is "one hundred fourteen trillion, two hundred twenty-five billion, forty-one million, five hundred forty-two thousand, forty-one".

Divisors: 1 3 9 461 1383 3541 4149 10623 31869 1632401 4897203 7774849 14691609 23324547 69973641 3584205389 10752616167 27530740309 32257848501 82592220927 247776662781 12691671282449 38075013847347 114225041542041