Search a number
-
+
442024020040 = 23579139881019
BaseRepresentation
bin1100110111010101010…
…11110100100001001000
31120020221102011210000111
412123222223310201020
524220231122120130
6535021340444104
743635524114611
oct6335253644110
91506842153014
10442024020040
11160509043679
1271800b49634
13328b4b280a5
14175734bcc08
15b770e3a02a
hex66eaaf4848

442024020040 has 32 divisors (see below), whose sum is σ = 1007143344000. Its totient is φ = 174571510464.

The previous prime is 442024019999. The next prime is 442024020089. The reversal of 442024020040 is 40020420244.

It is a junction number, because it is equal to n+sod(n) for n = 442024019993 and 442024020020.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 69937350 + ... + 69943669.

It is an arithmetic number, because the mean of its divisors is an integer number (31473229500).

Almost surely, 2442024020040 is an apocalyptic number.

442024020040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442024020040 is an abundant number, since it is smaller than the sum of its proper divisors (565119323960).

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

442024020040 is a wasteful number, since it uses less digits than its factorization.

442024020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139881109 (or 139881105 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 442024020040 its reverse (40020420244), we get a palindrome (482044440284).

The spelling of 442024020040 in words is "four hundred forty-two billion, twenty-four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 139881019 279762038 559524076 699405095 1119048152 1398810190 2797620380 5595240760 11050600501 22101201002 44202402004 55253002505 88404804008 110506005010 221012010020 442024020040