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4394334400040 = 235138450643077
BaseRepresentation
bin111111111100100010101…
…111011010111000101000
3120120002112201102202212102
4333330202233122320220
51033444044101300130
613202421312432532
7632323463051024
oct77744257327050
916502481382772
104394334400040
111444699232952
125ab799848748
1325b4cb721760
14112988c9d384
15794902c2645
hex3ff22bdae28

4394334400040 has 32 divisors (see below), whose sum is σ = 10647810278280. Its totient is φ = 1622523470592.

The previous prime is 4394334400037. The next prime is 4394334400061. The reversal of 4394334400040 is 400044334934.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2927924809924 + 1466409590116 = 1711118^2 + 1210954^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4394334399967 and 4394334400003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4225321019 + ... + 4225322058.

Almost surely, 24394334400040 is an apocalyptic number.

4394334400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4394334400040 is an abundant number, since it is smaller than the sum of its proper divisors (6253475878240).

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

4394334400040 is a wasteful number, since it uses less digits than its factorization.

4394334400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450643101 (or 8450643097 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 4394334400040 its reverse (400044334934), we get a palindrome (4794378734974).

The spelling of 4394334400040 in words is "four trillion, three hundred ninety-four billion, three hundred thirty-four million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8450643077 16901286154 33802572308 42253215385 67605144616 84506430770 109858360001 169012861540 219716720002 338025723080 439433440004 549291800005 878866880008 1098583600010 2197167200020 4394334400040