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6440950305 = 34534945569
BaseRepresentation
bin1011111111110100…
…10001101000100001
3121121212210011210000
411333322101220201
5101142340402210
62543043530213
7315420113526
oct57772215041
917555704700
106440950305
112805826329
1212b9089969
137b85475ca
144515d314d
1527a6d9ac0
hex17fe91a21

6440950305 has 40 divisors (see below), whose sum is σ = 11579337000. Its totient is φ = 3425255424.

The previous prime is 6440950303. The next prime is 6440950339. The reversal of 6440950305 is 5030590446.

It is a happy number.

6440950305 is a `hidden beast` number, since 644 + 0 + 9 + 5 + 0 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2792911104 + 3648039201 = 52848^2 + 60399^2 .

It is not a de Polignac number, because 6440950305 - 21 = 6440950303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6440950305.

It is not an unprimeable number, because it can be changed into a prime (6440950301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118561 + ... + 164129.

It is an arithmetic number, because the mean of its divisors is an integer number (289483425).

Almost surely, 26440950305 is an apocalyptic number.

It is an amenable number.

6440950305 is a deficient number, since it is larger than the sum of its proper divisors (5138386695).

6440950305 is a wasteful number, since it uses less digits than its factorization.

6440950305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45935 (or 45926 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6440950305 is about 80255.5313047020. The cubic root of 6440950305 is about 1860.5870025519.

The spelling of 6440950305 in words is "six billion, four hundred forty million, nine hundred fifty thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 349 405 1047 1745 3141 5235 9423 15705 28269 45569 47115 136707 141345 227845 410121 683535 1230363 2050605 3691089 6151815 15903581 18455445 47710743 79517905 143132229 238553715 429396687 715661145 1288190061 2146983435 6440950305