Search a number
-
+
42046683233184 = 2533726597261389
BaseRepresentation
bin10011000111101110000011…
…00111100011101110100000
312111212121211122111211012000
421203313001213203232200
521002343101401430214
6225231551333004000
711566526002350330
oct1143670147435640
9174777748454160
1042046683233184
1112440997591a03
124870b19183600
131a5cca6698926
14a550dad970c0
154cdae62c8809
hex263dc19e3ba0

42046683233184 has 192 divisors, whose sum is σ = 140161416595200. Its totient is φ = 12012840428544.

The previous prime is 42046683233173. The next prime is 42046683233201. The reversal of 42046683233184 is 48133238664024.

42046683233184 is a `hidden beast` number, since 4 + 2 + 0 + 466 + 83 + 23 + 3 + 1 + 84 = 666.

42046683233184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42046683233184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160727962 + ... + 160989350.

It is an arithmetic number, because the mean of its divisors is an integer number (730007378100).

Almost surely, 242046683233184 is an apocalyptic number.

It is an amenable number.

42046683233184 is an abundant number, since it is smaller than the sum of its proper divisors (98114733362016).

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

42046683233184 is a wasteful number, since it uses less digits than its factorization.

42046683233184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288012 (or 287998 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 42046683233184 in words is "forty-two trillion, forty-six billion, six hundred eighty-three million, two hundred thirty-three thousand, one hundred eighty-four".