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2014410114 = 233415317167
BaseRepresentation
bin111100000010001…
…0111010110000010
312012101110122012000
41320010113112002
513111142110424
6531515444430
7100630126533
oct17004272602
95171418160
102014410114
1194409a152
12482756716
13261451362
1415176a68a
15bbcac3c9
hex78117582

2014410114 has 64 divisors (see below), whose sum is σ = 4672442880. Its totient is φ = 642695040.

The previous prime is 2014410109. The next prime is 2014410169. The reversal of 2014410114 is 4110144102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108759 + ... + 125925.

It is an arithmetic number, because the mean of its divisors is an integer number (73006920).

Almost surely, 22014410114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014410114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336221440).

2014410114 is an abundant number, since it is smaller than the sum of its proper divisors (2658032766).

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

2014410114 is a wasteful number, since it uses less digits than its factorization.

2014410114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2014410114 is about 44882.1803614753. The cubic root of 2014410114 is about 1262.9397458292.

Adding to 2014410114 its reverse (4110144102), we get a palindrome (6124554216).

The spelling of 2014410114 in words is "two billion, fourteen million, four hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 53 54 82 106 123 159 246 318 369 477 738 954 1107 1431 2173 2214 2862 4346 6519 13038 17167 19557 34334 39114 51501 58671 103002 117342 154503 309006 463509 703847 909851 927018 1407694 1819702 2111541 2729553 4223082 5459106 6334623 8188659 12669246 16377318 19003869 24565977 37303891 38007738 49131954 74607782 111911673 223823346 335735019 671470038 1007205057 2014410114