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10445355441 = 3217109626333
BaseRepresentation
bin10011011101001011…
…10111100110110001
3222221221210000221100
421232211313212301
5132343002333231
64444252115013
7516563025213
oct115645674661
928857700840
1010445355441
114480149164
122036165a69
13ca604c0c1
147113725b3
154120301e6
hex26e9779b1

10445355441 has 24 divisors (see below), whose sum is σ = 16121837160. Its totient is φ = 6493810176.

The previous prime is 10445355433. The next prime is 10445355451. The reversal of 10445355441 is 14455354401.

10445355441 is a `hidden beast` number, since 10 + 4 + 4 + 53 + 554 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2794179600 + 7651175841 = 52860^2 + 87471^2 .

It is not a de Polignac number, because 10445355441 - 23 = 10445355433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10445355396 and 10445355405.

It is not an unprimeable number, because it can be changed into a prime (10445355451) 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, 296490 + ... + 329843.

It is an arithmetic number, because the mean of its divisors is an integer number (671743215).

Almost surely, 210445355441 is an apocalyptic number.

It is an amenable number.

10445355441 is a deficient number, since it is larger than the sum of its proper divisors (5676481719).

10445355441 is a wasteful number, since it uses less digits than its factorization.

10445355441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626465 (or 626462 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 10445355441 in words is "ten billion, four hundred forty-five million, three hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 16677 626333 1878999 5636997 10647661 31942983 68270297 95828949 204810891 614432673 1160595049 3481785147 10445355441