Search a number
-
+
42021405004014 = 2335351591454099
BaseRepresentation
bin10011000110111110111101…
…11010110001000011101110
312111210012120222001201201000
421203133132322301003232
521001434314140112024
6225212211132501130
711564642406062232
oct1143373672610356
9174705528051630
1042021405004014
11124311a56a1217
12486804361a7a6
131a5a7a8617a87
14a53bbdaa65c2
154cd116e97cc9
hex2637deeb10ee

42021405004014 has 32 divisors (see below), whose sum is σ = 93381138720000. Its totient is φ = 14007099194712.

The previous prime is 42021405004013. The next prime is 42021405004021. The reversal of 42021405004014 is 41040050412024.

42021405004014 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 140 + 500 + 4 + 0 + 14 = 666.

It is a super-2 number, since 2×420214050040142 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021405004013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28171537 + ... + 29625635.

It is an arithmetic number, because the mean of its divisors is an integer number (2918160585000).

Almost surely, 242021405004014 is an apocalyptic number.

42021405004014 is an abundant number, since it is smaller than the sum of its proper divisors (51359733715986).

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

42021405004014 is a wasteful number, since it uses less digits than its factorization.

42021405004014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989269 (or 1989263 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42021405004014 its reverse (41040050412024), we get a palindrome (83061455416038).

The spelling of 42021405004014 in words is "forty-two trillion, twenty-one billion, four hundred five million, four thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 535159 1070318 1454099 1605477 2908198 3210954 4362297 4816431 8724594 9632862 13086891 14449293 26173782 28898586 39260673 78521346 778174166741 1556348333482 2334522500223 4669045000446 7003567500669 14007135001338 21010702502007 42021405004014