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40003412224 = 28592648531
BaseRepresentation
bin100101010000011000…
…111010000100000000
310211020220110220012011
4211100120322010000
51123411333142344
630213255542304
72614215251656
oct452030720400
9124226426164
1040003412224
1115a68979766
12790508a994
133a069a8729
141d16c18dd6
151091e5cd34
hex95063a100

40003412224 has 36 divisors (see below), whose sum is σ = 81203991120. Its totient is φ = 19662686720.

The previous prime is 40003412177. The next prime is 40003412233. The reversal of 40003412224 is 42221430004.

It is a happy number.

It is a super-3 number, since 3×400034122243 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40003412195 and 40003412204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1309162 + ... + 1339369.

It is an arithmetic number, because the mean of its divisors is an integer number (2255666420).

Almost surely, 240003412224 is an apocalyptic number.

It is an amenable number.

40003412224 is an abundant number, since it is smaller than the sum of its proper divisors (41200578896).

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

40003412224 is an equidigital number, since it uses as much as digits as its factorization.

40003412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648606 (or 2648592 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40003412224 its reverse (42221430004), we get a palindrome (82224842228).

The spelling of 40003412224 in words is "forty billion, three million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3776 7552 15104 2648531 5297062 10594124 21188248 42376496 84752992 156263329 169505984 312526658 339011968 625053316 678023936 1250106632 2500213264 5000426528 10000853056 20001706112 40003412224