Search a number
-
+
42011124242031 = 3271315090406427
BaseRepresentation
bin10011000110101011110100…
…01000110001011001101111
312111202020001110222220112200
421203111322020301121233
521001302240301221111
6225203351040232543
711564126552044230
oct1143257210613157
9174666043886480
1042011124242031
11124278aa45260a
12486605460b753
131a5982a707169
14a534c653b087
154ccc1462b256
hex26357a23166f

42011124242031 has 24 divisors (see below), whose sum is σ = 69881099443584. Its totient is φ = 23823102073680.

The previous prime is 42011124241979. The next prime is 42011124242057. The reversal of 42011124242031 is 13024242111024.

42011124242031 is a `hidden beast` number, since 4 + 20 + 1 + 1 + 12 + 424 + 203 + 1 = 666.

It is not a de Polignac number, because 42011124242031 - 26 = 42011124241967 is a prime.

It is a super-2 number, since 2×420111242420312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42011124241986 and 42011124242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011124242431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2545194961 + ... + 2545211466.

It is an arithmetic number, because the mean of its divisors is an integer number (2911712476816).

Almost surely, 242011124242031 is an apocalyptic number.

42011124242031 is a deficient number, since it is larger than the sum of its proper divisors (27869975201553).

42011124242031 is a wasteful number, since it uses less digits than its factorization.

42011124242031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090406571 (or 5090406568 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42011124242031 its reverse (13024242111024), we get a palindrome (55035366353055).

The spelling of 42011124242031 in words is "forty-two trillion, eleven billion, one hundred twenty-four million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 8253 5090406427 15271219281 35632844989 45813657843 106898534967 320695604901 666843241937 2000529725811 4667902693559 6001589177433 14003708080677 42011124242031