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10441114420 = 2251148797453
BaseRepresentation
bin10011011100101011…
…01100001100110100
3222221122210120100111
421232111230030310
5132340411130140
64444021152404
7516512002552
oct115625541464
928848716314
1010441114420
114478811890
12203485b704
13ca51c5919
1471098abd2
154119937ea
hex26e56c334

10441114420 has 48 divisors (see below), whose sum is σ = 23969006208. Its totient is φ = 3788933760.

The previous prime is 10441114399. The next prime is 10441114421. The reversal of 10441114420 is 2441114401.

10441114420 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 10441114391 and 10441114400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441114421) 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 15 ways as a sum of consecutive naturals, for example, 58414 + ... + 155866.

It is an arithmetic number, because the mean of its divisors is an integer number (499354296).

Almost surely, 210441114420 is an apocalyptic number.

10441114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11984503104).

10441114420 is an abundant number, since it is smaller than the sum of its proper divisors (13527891788).

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

10441114420 is a wasteful number, since it uses less digits than its factorization.

10441114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97960 (or 97958 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10441114420 its reverse (2441114401), we get a palindrome (12882228821).

The spelling of 10441114420 in words is "ten billion, four hundred forty-one million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 487 974 1948 2435 4870 5357 9740 10714 21428 26785 53570 97453 107140 194906 389812 487265 974530 1071983 1949060 2143966 4287932 5359915 10719830 21439660 47459611 94919222 189838444 237298055 474596110 522055721 949192220 1044111442 2088222884 2610278605 5220557210 10441114420