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44023110132340 = 22511532777687457
BaseRepresentation
bin10100000001001111011011…
…10101110110001001110100
312202212120100020102002000001
422000213231311312021310
521232233312143213330
6233343534304401044
712162364464662023
oct1200475565661164
9182776306362001
1044023110132340
1113033106a98169
124b2bb82616184
131b74491202a01
14ac2a30bb48ba
1551521e9dd9ca
hex2809edd76274

44023110132340 has 48 divisors (see below), whose sum is σ = 92562166447632. Its totient is φ = 17587610320896.

The previous prime is 44023110132299. The next prime is 44023110132413. The reversal of 44023110132340 is 4323101132044.

It is a happy number.

44023110132340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6213942157284 + 37809167975056 = 2492778^2 + 6148916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44023110132299 and 44023110132308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63693892 + ... + 64381348.

It is an arithmetic number, because the mean of its divisors is an integer number (1928378467659).

Almost surely, 244023110132340 is an apocalyptic number.

It is an amenable number.

44023110132340 is an abundant number, since it is smaller than the sum of its proper divisors (48539056315292).

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

44023110132340 is a wasteful number, since it uses less digits than its factorization.

44023110132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691396 (or 691394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 44023110132340 its reverse (4323101132044), we get a palindrome (48346211264384).

The spelling of 44023110132340 in words is "forty-four trillion, twenty-three billion, one hundred ten million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1153 2306 2777 4612 5554 5765 11108 11530 13885 23060 27770 55540 687457 1374914 2749828 3201881 3437285 6403762 6874570 12807524 13749140 16009405 32018810 64037620 792637921 1585275842 1909068089 3170551684 3818136178 3963189605 7636272356 7926379210 9545340445 15852758420 19090680890 38181361780 2201155506617 4402311013234 8804622026468 11005777533085 22011555066170 44023110132340