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114334340402241 = 3339714097570271
BaseRepresentation
bin11001111111110010001001…
…101111101100110001000001
3112222211020220202200200201000
4121333302021233230301001
5104441223212120332431
61043100245413002213
733040245353202201
oct3177621157546101
9488736822620630
10114334340402241
1133480a15515583
12109a6917323369
134ba48b3587a1b
142033b51070401
15d34172a6a9e6
hex67fc89becc41

114334340402241 has 32 divisors (see below), whose sum is σ = 169931409638400. Its totient is φ = 75976925460480.

The previous prime is 114334340402239. The next prime is 114334340402267. The reversal of 114334340402241 is 142204043433411.

114334340402241 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 4 + 3 + 4 + 0 + 402 + 241 = 666.

It is not a de Polignac number, because 114334340402241 - 21 = 114334340402239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114334340402196 and 114334340402205.

It is not an unprimeable number, because it can be changed into a prime (114334340402041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11317936 + ... + 18888206.

It is an arithmetic number, because the mean of its divisors is an integer number (5310356551200).

Almost surely, 2114334340402241 is an apocalyptic number.

It is an amenable number.

114334340402241 is a deficient number, since it is larger than the sum of its proper divisors (55597069236159).

114334340402241 is a wasteful number, since it uses less digits than its factorization.

114334340402241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572086 (or 7572080 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 114334340402241 its reverse (142204043433411), we get a palindrome (256538383835652).

The spelling of 114334340402241 in words is "one hundred fourteen trillion, three hundred thirty-four billion, three hundred forty million, four hundred two thousand, two hundred forty-one".

Divisors: 1 3 9 27 397 1191 1409 3573 4227 10719 12681 38043 559373 1678119 5034357 7570271 15103071 22710813 68132439 204397317 3005397587 9016192761 10666511839 27048578283 31999535517 81145734849 95998606551 287995819653 4234605200083 12703815600249 38111446800747 114334340402241