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10441304000 = 26531305163
BaseRepresentation
bin10011011100101100…
…11010011111000000
3222221200011012101222
421232112122133000
5132340433212000
64444025214212
7516513422351
oct115626323700
928850135358
1010441304000
114478931266
122034931368
13ca5260cba
147109d9d28
154119cea85
hex26e59a7c0

10441304000 has 56 divisors (see below), whose sum is σ = 25857909168. Its totient is φ = 4176518400.

The previous prime is 10441303981. The next prime is 10441304009. The reversal of 10441304000 is 40314401.

10441304000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10441304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441304009) 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 7 ways as a sum of consecutive naturals, for example, 644582 + ... + 660581.

It is an arithmetic number, because the mean of its divisors is an integer number (461748378).

Almost surely, 210441304000 is an apocalyptic number.

10441304000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441304000 is an abundant number, since it is smaller than the sum of its proper divisors (15416605168).

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

10441304000 is an equidigital number, since it uses as much as digits as its factorization.

10441304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305190 (or 1305170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10441304000 its reverse (40314401), we get a palindrome (10481618401).

The spelling of 10441304000 in words is "ten billion, four hundred forty-one million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 1305163 2610326 5220652 6525815 10441304 13051630 20882608 26103260 32629075 41765216 52206520 65258150 83530432 104413040 130516300 163145375 208826080 261032600 326290750 417652160 522065200 652581500 1044130400 1305163000 2088260800 2610326000 5220652000 10441304000