Search a number
-
+
42321332040021 = 352231097711937
BaseRepresentation
bin10011001111101101100111…
…11101100111000101010101
312112211212202101200210200000
421213312303331213011111
521021343042000240041
6230002052422041513
711625421026604566
oct1147666375470525
9175755671623600
1042321332040021
11125374156925a1
1248b61a8579299
131a7cb662aaa08
14a6451325416d
154d5d1d042bb6
hex267db3f67155

42321332040021 has 48 divisors (see below), whose sum is σ = 63737337291264. Its totient is φ = 28062056669184.

The previous prime is 42321332040019. The next prime is 42321332040059. The reversal of 42321332040021 is 12004023312324.

42321332040021 is a `hidden beast` number, since 4 + 2 + 3 + 213 + 3 + 20 + 400 + 21 = 666.

It is not a de Polignac number, because 42321332040021 - 21 = 42321332040019 is a prime.

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 (42321332040521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59089365 + ... + 59801301.

It is an arithmetic number, because the mean of its divisors is an integer number (1327861193568).

Almost surely, 242321332040021 is an apocalyptic number.

It is an amenable number.

42321332040021 is a deficient number, since it is larger than the sum of its proper divisors (21416005251243).

42321332040021 is a wasteful number, since it uses less digits than its factorization.

42321332040021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713272 (or 713260 counting only the distinct ones).

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

Adding to 42321332040021 its reverse (12004023312324), we get a palindrome (54325355352345).

The spelling of 42321332040021 in words is "forty-two trillion, three hundred twenty-one billion, three hundred thirty-two million, forty thousand, twenty-one".

Divisors: 1 3 9 27 81 223 243 669 1097 2007 3291 6021 9873 18063 29619 54189 88857 244631 266571 711937 733893 2135811 2201679 6407433 6605037 19222299 19815111 57666897 59445333 158761951 173000691 476285853 780994889 1428857559 2342984667 4286572677 7028954001 12859718031 21086862003 38579154093 63260586009 174161860247 189781758027 522485580741 1567456742223 4702370226669 14107110680007 42321332040021