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4344064641 = 337101227569
BaseRepresentation
bin1000000101110110…
…10010101010000001
3102012202010100102000
410002323102222001
532344040032031
61555020214213
7212435640330
oct40273225201
912182110360
104344064641
11192a125074
12a1299a369
13542caa167
142d2d17d17
151a658a3e6
hex102ed2a81

4344064641 has 32 divisors (see below), whose sum is σ = 7427884800. Its totient is φ = 2457734400.

The previous prime is 4344064633. The next prime is 4344064643. The reversal of 4344064641 is 1464604434.

4344064641 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 4344064641 - 23 = 4344064633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4344064596 and 4344064605.

It is not an unprimeable number, because it can be changed into a prime (4344064643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94696 + ... + 132873.

It is an arithmetic number, because the mean of its divisors is an integer number (232121400).

Almost surely, 24344064641 is an apocalyptic number.

It is an amenable number.

4344064641 is a deficient number, since it is larger than the sum of its proper divisors (3083820159).

4344064641 is a wasteful number, since it uses less digits than its factorization.

4344064641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227686 (or 227680 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4344064641 is about 65909.5185917785. The cubic root of 4344064641 is about 1631.6691147682.

The spelling of 4344064641 in words is "four billion, three hundred forty-four million, sixty-four thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 101 189 303 707 909 2121 2727 6363 19089 227569 682707 1592983 2048121 4778949 6144363 14336847 22984469 43010541 68953407 160891283 206860221 482673849 620580663 1448021547 4344064641