Search a number
-
+
3314141234010 = 233556921572227
BaseRepresentation
bin110000001110100010001…
…101100000001101011010
3102201211101012102102102000
4300032202031200031122
5413244330123442020
611014255004221430
7461303336455065
oct60164215401532
912654335372360
103314141234010
111068579366432
1245637723a876
131b06a32ba5a9
14b65961978dc
155b31d633090
hex303a236035a

3314141234010 has 64 divisors (see below), whose sum is σ = 8853242371200. Its totient is φ = 882217754496.

The previous prime is 3314141233957. The next prime is 3314141234021. The reversal of 3314141234010 is 104321414133.

3314141234010 is a `hidden beast` number, since 3 + 3 + 1 + 414 + 1 + 234 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10632484 + ... + 10939743.

It is an arithmetic number, because the mean of its divisors is an integer number (138331912050).

Almost surely, 23314141234010 is an apocalyptic number.

3314141234010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3314141234010 is an abundant number, since it is smaller than the sum of its proper divisors (5539101137190).

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

3314141234010 is a wasteful number, since it uses less digits than its factorization.

3314141234010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572812 (or 21572806 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3314141234010 its reverse (104321414133), we get a palindrome (3418462648143).

The spelling of 3314141234010 in words is "three trillion, three hundred fourteen billion, one hundred forty-one million, two hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 569 1138 1707 2845 3414 5121 5690 8535 10242 15363 17070 25605 30726 51210 76815 153630 21572227 43144454 64716681 107861135 129433362 194150043 215722270 323583405 388300086 582450129 647166810 970750215 1164900258 1941500430 2912250645 5824501290 12274597163 24549194326 36823791489 61372985815 73647582978 110471374467 122745971630 184118957445 220942748934 331414123401 368237914890 552356872335 662828246802 1104713744670 1657070617005 3314141234010