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10441141333 = 72377697489
BaseRepresentation
bin10011011100101011…
…10010110001010101
3222221122211221021021
421232111302301111
5132340413010313
64444021521141
7516512144200
oct115625626125
928848757237
1010441141333
114478830027
1220348731b1
13ca5204c4c
14710996937
1541199b78d
hex26e572c55

10441141333 has 24 divisors (see below), whose sum is σ = 12491971800. Its totient is φ = 8695185408.

The previous prime is 10441141331. The next prime is 10441141343. The reversal of 10441141333 is 33314114401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3011046129 + 7430095204 = 54873^2 + 86198^2 .

It is not a de Polignac number, because 10441141333 - 21 = 10441141331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10441141298 and 10441141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441141331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1390453 + ... + 1397941.

It is an arithmetic number, because the mean of its divisors is an integer number (520498825).

Almost surely, 210441141333 is an apocalyptic number.

It is an amenable number.

10441141333 is a deficient number, since it is larger than the sum of its proper divisors (2050830467).

10441141333 is an equidigital number, since it uses as much as digits as its factorization.

10441141333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10441141333 its reverse (33314114401), we get a palindrome (43755255734).

The spelling of 10441141333 in words is "ten billion, four hundred forty-one million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 7 37 49 259 769 1813 5383 7489 28453 37681 52423 199171 277093 366961 1394197 1939651 5759041 13577557 40313287 213084517 282193009 1491591619 10441141333