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10441244000 = 255311237301
BaseRepresentation
bin10011011100101100…
…01011110101100000
3222221200001011002202
421232112023311200
5132340424302000
64444024032332
7516513052415
oct115626136540
928850034082
1010441244000
1144788a0180
1220349026a8
13ca523c8b5
147109c210c
154119bbdd5
hex26e58bd60

10441244000 has 96 divisors (see below), whose sum is σ = 27986448672. Its totient is φ = 3796800000.

The previous prime is 10441243997. The next prime is 10441244039. The reversal of 10441244000 is 44214401.

It is a happy number.

10441244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74651 + ... + 162650.

It is an arithmetic number, because the mean of its divisors is an integer number (291525507).

Almost surely, 210441244000 is an apocalyptic number.

10441244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441244000 is an abundant number, since it is smaller than the sum of its proper divisors (17545204672).

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

10441244000 is a wasteful number, since it uses less digits than its factorization.

10441244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237337 (or 237319 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10441244000 its reverse (44214401), we get a palindrome (10485458401).

The spelling of 10441244000 in words is "ten billion, four hundred forty-one million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 237301 474602 949204 1186505 1898408 2373010 2610311 3796816 4746020 5220622 5932525 7593632 9492040 10441244 11865050 13051555 18984080 20882488 23730100 26103110 29662625 37968160 41764976 47460200 52206220 59325250 65257775 83529952 94920400 104412440 118650500 130515550 189840800 208824880 237301000 261031100 326288875 417649760 474602000 522062200 652577750 949204000 1044124400 1305155500 2088248800 2610311000 5220622000 10441244000