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41374444696209 = 32892240912
BaseRepresentation
bin10010110100001001111010…
…00101000011001010010001
312102111100200012002212101100
421122010331011003022101
520410334330320234314
6223555054004055013
711500130211150642
oct1132047505031221
9172440605085340
1041374444696209
1112201892446389
124782789994469
131a117938bb7b1
14a30768aab6c9
154bb39e569c09
hex25a13d143291

41374444696209 has 27 divisors (see below), whose sum is σ = 60444636045339. Its totient is φ = 27271910112480.

The previous prime is 41374444696183. The next prime is 41374444696219. The reversal of 41374444696209 is 90269644447314.

The square root of 41374444696209 is 6432297.

It is a perfect power (a square), and thus also a powerful number.

41374444696209 is a `hidden beast` number, since 4 + 1 + 3 + 74 + 44 + 469 + 62 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7944770910609 + 33429673785600 = 2818647^2 + 5781840^2 .

It is not a de Polignac number, because 41374444696209 - 241 = 39175421440657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41374444696219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1717411254 + ... + 1717435344.

Almost surely, 241374444696209 is an apocalyptic number.

41374444696209 is the 6432297-th square number.

41374444696209 is the 3216149-th centered octagonal number.

It is an amenable number.

41374444696209 is a deficient number, since it is larger than the sum of its proper divisors (19070191349130).

41374444696209 is an frugal number, since it uses more digits than its factorization.

41374444696209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48366 (or 24183 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 41374444696209 in words is "forty-one trillion, three hundred seventy-four billion, four hundred forty-four million, six hundred ninety-six thousand, two hundred nine".

Divisors: 1 3 9 89 267 801 7921 23763 24091 71289 72273 216819 2144099 6432297 19296891 190824811 572474433 580376281 1717423299 1741128843 5223386529 51653489009 154960467027 464881401081 4597160521801 13791481565403 41374444696209