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10441252400 = 2452191373849
BaseRepresentation
bin10011011100101100…
…01101111000110000
3222221200001120121212
421232112031320300
5132340430034100
64444024135252
7516513116045
oct115626157060
928850046555
1010441252400
1144788a6517
122034907528
13ca5243677
147109c51cc
154119be635
hex26e58de30

10441252400 has 60 divisors (see below), whose sum is σ = 26405397000. Its totient is φ = 3956682240.

The previous prime is 10441252399. The next prime is 10441252411. The reversal of 10441252400 is 425214401.

10441252400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 679325 + ... + 694524.

It is an arithmetic number, because the mean of its divisors is an integer number (440089950).

Almost surely, 210441252400 is an apocalyptic number.

10441252400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441252400 is an abundant number, since it is smaller than the sum of its proper divisors (15964144600).

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

10441252400 is a wasteful number, since it uses less digits than its factorization.

10441252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373886 (or 1373875 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 10441252400 its reverse (425214401), we get a palindrome (10866466801).

The spelling of 10441252400 in words is "ten billion, four hundred forty-one million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 1373849 2747698 5495396 6869245 10990792 13738490 21981584 26103131 27476980 34346225 52206262 54953960 68692450 104412524 109907920 130515655 137384900 208825048 261031310 274769800 417650096 522062620 549539600 652578275 1044125240 1305156550 2088250480 2610313100 5220626200 10441252400