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2114110442034 = 23467453193469
BaseRepresentation
bin11110110000111010110…
…011010100101000110010
321111002212222202220210000
4132300322303110220302
5234114144233121114
64255113043450430
7305511425154363
oct36607263245062
97432788686700
102114110442034
11745653258928
122a188b386a16
1312448a5112a6
1474475935b6a
1539ed5db3e09
hex1ec3acd4a32

2114110442034 has 40 divisors (see below), whose sum is σ = 4737268112940. Its totient is φ = 704689390944.

The previous prime is 2114110441979. The next prime is 2114110442051. The reversal of 2114110442034 is 4302440114112.

2114110442034 is a `hidden beast` number, since 2 + 1 + 1 + 411 + 0 + 44 + 203 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2114101460025 + 8982009 = 1453995^2 + 2997^2 .

It is a super-2 number, since 2×21141104420342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2114110441989 and 2114110442007.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10830652 + ... + 11024120.

Almost surely, 22114110442034 is an apocalyptic number.

2114110442034 is an abundant number, since it is smaller than the sum of its proper divisors (2623157670906).

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

2114110442034 is a wasteful number, since it uses less digits than its factorization.

2114110442034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260936 (or 260927 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2114110442034 its reverse (4302440114112), we get a palindrome (6416550556146).

The spelling of 2114110442034 in words is "two trillion, one hundred fourteen billion, one hundred ten million, four hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 67453 134906 193469 202359 386938 404718 580407 607077 1160814 1214154 1741221 1821231 3482442 3642462 5223663 5463693 10447326 10927386 15670989 31341978 13050064457 26100128914 39150193371 78300386742 117450580113 234901160226 352351740339 704703480678 1057055221017 2114110442034