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34344614144 = 28947141667
BaseRepresentation
bin11111111111000110…
…010011100100000000
310021122112110011120002
4133333012103210000
51030314210123034
623435552135132
72324043255251
oct377706234400
9107575404502
1034344614144
1113624703a35
1267a5b374a8
1333145053b9
14193b466b28
15d60271e7e
hex7ff193900

34344614144 has 36 divisors (see below), whose sum is σ = 68627945904. Its totient is φ = 17154052608.

The previous prime is 34344614099. The next prime is 34344614147. The reversal of 34344614144 is 44141644343.

It is a junction number, because it is equal to n+sod(n) for n = 34344614098 and 34344614107.

It is not an unprimeable number, because it can be changed into a prime (34344614147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171599 + ... + 313265.

Almost surely, 234344614144 is an apocalyptic number.

It is an amenable number.

34344614144 is a deficient number, since it is larger than the sum of its proper divisors (34283331760).

34344614144 is an equidigital number, since it uses as much as digits as its factorization.

34344614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142630 (or 142616 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

The spelling of 34344614144 in words is "thirty-four billion, three hundred forty-four million, six hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 947 1894 3788 7576 15152 30304 60608 121216 141667 242432 283334 566668 1133336 2266672 4533344 9066688 18133376 36266752 134158649 268317298 536634596 1073269192 2146538384 4293076768 8586153536 17172307072 34344614144