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4120804040 = 2351011020001
BaseRepresentation
bin1111010110011110…
…0111101011001000
3101122012000112102212
43311213213223020
531414411212130
61520523044252
7204055153643
oct36547475310
911565015385
104120804040
1118250a5081
12970070688
1350896a5b2
142b13dca5a
15191b88e95
hexf59e7ac8

4120804040 has 32 divisors (see below), whose sum is σ = 9363618360. Its totient is φ = 1632000000.

The previous prime is 4120804031. The next prime is 4120804069. The reversal of 4120804040 is 404080214.

It can be written as a sum of positive squares in 4 ways, for example, as 4060493284 + 60310756 = 63722^2 + 7766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4120803997 and 4120804015.

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, 505961 + ... + 514040.

Almost surely, 24120804040 is an apocalyptic number.

4120804040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4120804040 is an abundant number, since it is smaller than the sum of its proper divisors (5242814320).

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

4120804040 is a wasteful number, since it uses less digits than its factorization.

4120804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020113 (or 1020109 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 4120804040 is about 64193.4890779431. The cubic root of 4120804040 is about 1603.2231952310.

Adding to 4120804040 its reverse (404080214), we get a palindrome (4524884254).

The spelling of 4120804040 in words is "four billion, one hundred twenty million, eight hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 1020001 2040002 4080004 5100005 8160008 10200010 20400020 40800040 103020101 206040202 412080404 515100505 824160808 1030201010 2060402020 4120804040