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10444100440 = 235823317257
BaseRepresentation
bin10011011101000010…
…00101001101011000
3222221212102021101211
421232201011031120
5132342142203230
64444205152504
7516546250264
oct115641051530
928855367354
1010444100440
11447a471274
12203585b734
13ca59ccab7
147111270a4
15411d8342a
hex26e845358

10444100440 has 32 divisors (see below), whose sum is σ = 23527853280. Its totient is φ = 4172550912.

The previous prime is 10444100417. The next prime is 10444100449. The reversal of 10444100440 is 4400144401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444100449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125709 + ... + 191548.

It is an arithmetic number, because the mean of its divisors is an integer number (735245415).

Almost surely, 210444100440 is an apocalyptic number.

10444100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444100440 is an abundant number, since it is smaller than the sum of its proper divisors (13083752840).

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

10444100440 is a wasteful number, since it uses less digits than its factorization.

10444100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318091 (or 318087 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10444100440 its reverse (4400144401), we get a palindrome (14844244841).

The spelling of 10444100440 in words is "ten billion, four hundred forty-four million, one hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 823 1646 3292 4115 6584 8230 16460 32920 317257 634514 1269028 1586285 2538056 3172570 6345140 12690280 261102511 522205022 1044410044 1305512555 2088820088 2611025110 5222050220 10444100440