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442440204040 = 235291632339963
BaseRepresentation
bin1100111000000110111…
…11011011111100001000
31120022000102022010010201
412130003133123330020
524222104143012130
6535130525021544
743652036453212
oct6340337337410
91508012263121
10442440204040
11160701a6289a
12718b83b48b4
1332950114c03
14175b28975b2
15b797748bca
hex67037dbf08

442440204040 has 64 divisors (see below), whose sum is σ = 1036136059200. Its totient is φ = 169825082112.

The previous prime is 442440204023. The next prime is 442440204043. The reversal of 442440204040 is 40402044244.

It is not an unprimeable number, because it can be changed into a prime (442440204043) 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, 980902 + ... + 1359061.

It is an arithmetic number, because the mean of its divisors is an integer number (16189625925).

Almost surely, 2442440204040 is an apocalyptic number.

442440204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442440204040 is an abundant number, since it is smaller than the sum of its proper divisors (593695855160).

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

442440204040 is a wasteful number, since it uses less digits than its factorization.

442440204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340166 (or 2340162 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 442440204040 its reverse (40402044244), we get a palindrome (482842248284).

The spelling of 442440204040 in words is "four hundred forty-two billion, four hundred forty million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 163 232 290 326 580 652 815 1160 1304 1630 3260 4727 6520 9454 18908 23635 37816 47270 94540 189080 2339963 4679926 9359852 11699815 18719704 23399630 46799260 67858927 93598520 135717854 271435708 339294635 381413969 542871416 678589270 762827938 1357178540 1525655876 1907069845 2714357080 3051311752 3814139690 7628279380 11061005101 15256558760 22122010202 44244020404 55305025505 88488040808 110610051010 221220102020 442440204040