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40004000244 = 22321385478633
BaseRepresentation
bin100101010000011011…
…001001100111110100
310211020221120202210200
4211100123021213310
51123412011001434
630213320320500
72614223251215
oct452033114764
9124227522720
1040004000244
1115a6924052a
127905313130
133a06b53280
141d16d2d40c
151092027199
hex9506c99f4

40004000244 has 36 divisors (see below), whose sum is σ = 108899779716. Its totient is φ = 12308923008.

The previous prime is 40004000203. The next prime is 40004000249. The reversal of 40004000244 is 44200040004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5919455844 + 34084544400 = 76938^2 + 184620^2 .

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

It is a super-3 number, since 3×400040002443 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40004000249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42738849 + ... + 42739784.

It is an arithmetic number, because the mean of its divisors is an integer number (3024993881).

Almost surely, 240004000244 is an apocalyptic number.

It is an amenable number.

40004000244 is an abundant number, since it is smaller than the sum of its proper divisors (68895779472).

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

40004000244 is a wasteful number, since it uses less digits than its factorization.

40004000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85478656 (or 85478651 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40004000244 its reverse (44200040004), we get a palindrome (84204040248).

The spelling of 40004000244 in words is "forty billion, four million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 85478633 170957266 256435899 341914532 512871798 769307697 1025743596 1111222229 1538615394 2222444458 3077230788 3333666687 4444888916 6667333374 10001000061 13334666748 20002000122 40004000244