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42114103114304 = 2613217322506853
BaseRepresentation
bin10011001001101011101000…
…01001111111101001000000
312112010001212020220122100002
421210311310021333221000
521004444140344124204
6225322541335015132
711604433510031444
oct1144656411775100
9175101766818302
1042114103114304
1112467544328521
124881bb3b0a4a8
131a6645c411600
14a58495064824
154d074013491e
hex264d7427fa40

42114103114304 has 84 divisors (see below), whose sum is σ = 91016232123636. Its totient is φ = 19324923291648.

The previous prime is 42114103114277. The next prime is 42114103114309. The reversal of 42114103114304 is 40341130141124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10949216281600 + 31164886832704 = 3308960^2 + 5582552^2 .

It is a super-2 number, since 2×421141031143042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42114103114309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9382259 + ... + 13124594.

Almost surely, 242114103114304 is an apocalyptic number.

It is an amenable number.

42114103114304 is an abundant number, since it is smaller than the sum of its proper divisors (48902129009332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42114103114304 is a wasteful number, since it uses less digits than its factorization.

42114103114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22507064 (or 22507041 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 42114103114304 its reverse (40341130141124), we get a palindrome (82455233255428).

The spelling of 42114103114304 in words is "forty-two trillion, one hundred fourteen billion, one hundred three million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 173 208 338 346 416 676 692 832 1352 1384 2249 2704 2768 4498 5408 5536 8996 10816 11072 17992 29237 35984 58474 71968 116948 143936 233896 467792 935584 1871168 22506853 45013706 90027412 180054824 292589089 360109648 585178178 720219296 1170356356 1440438592 2340712712 3803658157 3893685569 4681425424 7607316314 7787371138 9362850848 15214632628 15574742276 18725701696 30429265256 31149484552 50617912397 60858530512 62298969104 101235824794 121717061024 124597938208 202471649588 243434122048 249195876416 404943299176 658032861161 809886598352 1316065722322 1619773196704 2632131444644 3239546393408 5264262889288 10528525778576 21057051557152 42114103114304