Search a number
-
+
42334043100201 = 3240160161931531
BaseRepresentation
bin10011010000000101010011…
…00110011101010000101001
312112220002120020210120012200
421220002221212131100221
521022100110013201301
6230011554012130413
711626351024046226
oct1150025146352051
9175802506716180
1042334043100201
1112541848758206
1248b8755466a09
131a81110854bb8
14a64d9b48894d
154d6313e1cc86
hex2680a999d429

42334043100201 has 48 divisors (see below), whose sum is σ = 61504813231680. Its totient is φ = 28059177600000.

The previous prime is 42334043100197. The next prime is 42334043100203. The reversal of 42334043100201 is 10200134043324.

42334043100201 is a `hidden beast` number, since 4 + 2 + 3 + 340 + 4 + 310 + 0 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 42334043100201 - 22 = 42334043100197 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42334043100203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1342600806 + ... + 1342632336.

It is an arithmetic number, because the mean of its divisors is an integer number (1281350275660).

Almost surely, 242334043100201 is an apocalyptic number.

It is an amenable number.

42334043100201 is a deficient number, since it is larger than the sum of its proper divisors (19170770131479).

42334043100201 is a wasteful number, since it uses less digits than its factorization.

42334043100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33158 (or 33155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42334043100201 its reverse (10200134043324), we get a palindrome (52534177143525).

The spelling of 42334043100201 in words is "forty-two trillion, three hundred thirty-four billion, forty-three million, one hundred thousand, two hundred one".

Divisors: 1 3 9 401 601 619 1203 1803 1857 3609 5409 5571 31531 94593 241001 248219 283779 372019 723003 744657 1116057 2169009 2233971 3348171 12643931 18950131 19517689 37931793 56850393 58553067 113795379 149179619 170551179 175659201 447538857 1342616571 7599002531 7826593289 11730131089 22797007593 23479779867 35190393267 68391022779 70439339601 105571179801 4703782566689 14111347700067 42334043100201