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40304212020 = 22325223912289
BaseRepresentation
bin100101100010010100…
…010111100000110100
310212000212111002221100
4211202110113200310
51130020334241040
630303203050100
72624530102212
oct454224274064
9125025432840
1040304212020
111610274a036
127989970930
133a540c6587
141d44b59cb2
1510ad578b30
hex962517834

40304212020 has 36 divisors (see below), whose sum is σ = 122256110340. Its totient is φ = 10747789824.

The previous prime is 40304211967. The next prime is 40304212027. The reversal of 40304212020 is 2021240304.

40304212020 is a `hidden beast` number, since 40 + 3 + 0 + 421 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16994251044 + 23309960976 = 130362^2 + 152676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×403042120202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40304211984 and 40304212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304212027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111955965 + ... + 111956324.

It is an arithmetic number, because the mean of its divisors is an integer number (3396003065).

Almost surely, 240304212020 is an apocalyptic number.

It is an amenable number.

40304212020 is an abundant number, since it is smaller than the sum of its proper divisors (81951898320).

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

40304212020 is a wasteful number, since it uses less digits than its factorization.

40304212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223912304 (or 223912299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40304212020 its reverse (2021240304), we get a palindrome (42325452324).

The spelling of 40304212020 in words is "forty billion, three hundred four million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223912289 447824578 671736867 895649156 1119561445 1343473734 2015210601 2239122890 2686947468 3358684335 4030421202 4478245780 6717368670 8060842404 10076053005 13434737340 20152106010 40304212020