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114104413332041 = 1128391140235087
BaseRepresentation
bin11001111100011100000001…
…000001100010001001001001
3112222000021102202100022201012
4121330130001001202021021
5104423441314303111131
61042402502133533305
733014525506304516
oct3174340101421111
9488007382308635
10114104413332041
11333a24566a2610
121096a2491a4235
134b890000299b2
14202697c4ca30d
15d2d1b70c652b
hex67c701062249

114104413332041 has 16 divisors (see below), whose sum is σ = 125054516072448. Its totient is φ = 103251277693200.

The previous prime is 114104413332031. The next prime is 114104413332043. The reversal of 114104413332041 is 140233314401411.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114104413332041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114104413331989 and 114104413332007.

It is not an unprimeable number, because it can be changed into a prime (114104413332043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17281601 + ... + 22953486.

It is an arithmetic number, because the mean of its divisors is an integer number (7815907254528).

Almost surely, 2114104413332041 is an apocalyptic number.

114104413332041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114104413332041 is a deficient number, since it is larger than the sum of its proper divisors (10950102740407).

114104413332041 is a wasteful number, since it uses less digits than its factorization.

114104413332041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40236292.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 114104413332041 its reverse (140233314401411), we get a palindrome (254337727733452).

The spelling of 114104413332041 in words is "one hundred fourteen trillion, one hundred four billion, four hundred thirteen million, three hundred thirty-two thousand, forty-one".

Divisors: 1 11 283 911 3113 10021 257813 2835943 40235087 442585957 11386529621 36654164257 125251825831 403195806827 10373128484731 114104413332041