Search a number
-
+
10444324400 = 245226110811
BaseRepresentation
bin10011011101000011…
…11011111000110000
3222221212211122121122
421232201323320300
5132342221340100
64444214041412
7516551202236
oct115641737060
928855748548
1010444324400
11447a604564
122035949268
13ca5a7aa13
14711184956
15411dc9985
hex26e87be30

10444324400 has 30 divisors (see below), whose sum is σ = 25092490332. Its totient is φ = 4177729600.

The previous prime is 10444324381. The next prime is 10444324411. The reversal of 10444324400 is 442344401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10444324400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13055006 + ... + 13055805.

Almost surely, 210444324400 is an apocalyptic number.

10444324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444324400 is an abundant number, since it is smaller than the sum of its proper divisors (14648165932).

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

10444324400 is a wasteful number, since it uses less digits than its factorization.

10444324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26110829 (or 26110818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10444324400 its reverse (442344401), we get a palindrome (10886668801).

The spelling of 10444324400 in words is "ten billion, four hundred forty-four million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 26110811 52221622 104443244 130554055 208886488 261108110 417772976 522216220 652770275 1044432440 1305540550 2088864880 2611081100 5222162200 10444324400