Search a number
-
+
241665309768 = 23341245594827
BaseRepresentation
bin1110000100010001011…
…1111111110001001000
3212002210001220201112110
43201010113333301020
512424412304403033
6303004114142320
723313456145221
oct3410427776110
9762701821473
10241665309768
1193542849103
123aa052819a0
1319a343c321c
14b9a7904248
15644625b363
hex38445ffc48

241665309768 has 32 divisors (see below), whose sum is σ = 618898966560. Its totient is φ = 78590344320.

The previous prime is 241665309737. The next prime is 241665309793. The reversal of 241665309768 is 867903566142.

241665309768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122796430 + ... + 122798397.

It is an arithmetic number, because the mean of its divisors is an integer number (19340592705).

It is a 1-persistent number, because it is pandigital, but 2⋅241665309768 = 483330619536 is not.

Almost surely, 2241665309768 is an apocalyptic number.

It is an amenable number.

241665309768 is an abundant number, since it is smaller than the sum of its proper divisors (377233656792).

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

241665309768 is a wasteful number, since it uses less digits than its factorization.

241665309768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245594877 (or 245594873 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 241665309768 in words is "two hundred forty-one billion, six hundred sixty-five million, three hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 245594827 491189654 736784481 982379308 1473568962 1964758616 2947137924 5894275848 10069387907 20138775814 30208163721 40277551628 60416327442 80555103256 120832654884 241665309768