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4005320080040 = 235100133002001
BaseRepresentation
bin111010010010001111101…
…011100011101010101000
3112011220102122100202202122
4322102033223203222220
51011110343420030130
612304004005450412
7562242364641416
oct72221753435250
915156378322678
104005320080040
111304712848534
12548311710a08
13230914065aa6
14dbc03b202b6
156e2c308a2e5
hex3a48fae3aa8

4005320080040 has 16 divisors (see below), whose sum is σ = 9011970180180. Its totient is φ = 1602128032000.

The previous prime is 4005320080007. The next prime is 4005320080049. The reversal of 4005320080040 is 400800235004.

It can be written as a sum of positive squares in 2 ways, for example, as 3776562582244 + 228757497796 = 1943338^2 + 478286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4005320079991 and 4005320080009.

It is not an unprimeable number, because it can be changed into a prime (4005320080049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50066500961 + ... + 50066501040.

Almost surely, 24005320080040 is an apocalyptic number.

4005320080040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005320080040 is an abundant number, since it is smaller than the sum of its proper divisors (5006650100140).

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

4005320080040 is a wasteful number, since it uses less digits than its factorization.

4005320080040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100133002012 (or 100133002008 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The spelling of 4005320080040 in words is "four trillion, five billion, three hundred twenty million, eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 100133002001 200266004002 400532008004 500665010005 801064016008 1001330020010 2002660040020 4005320080040