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233434514312144 = 2433842574311037
BaseRepresentation
bin110101000100111010110101…
…010011011100101111010000
31010121112010021122221011221122
4311010322311103130233100
5221044042341130442034
62144250200241541412
7100112041610000645
oct6504726523345720
91117463248834848
10233434514312144
116841a026781a92
122222120a644868
13a033a1b279462
14419040dc67dcc
151bec27a09862e
hexd44eb54dcbd0

233434514312144 has 20 divisors (see below), whose sum is σ = 452279610033924. Its totient is φ = 116717195593728.

The previous prime is 233434514312123. The next prime is 233434514312147. The reversal of 233434514312144 is 441213415434332.

It can be written as a sum of positive squares in 2 ways, for example, as 208856835534400 + 24577678777744 = 14451880^2 + 4957588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233434514312095 and 233434514312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233434514312147) 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, 51992594 + ... + 56303630.

Almost surely, 2233434514312144 is an apocalyptic number.

It is an amenable number.

233434514312144 is a deficient number, since it is larger than the sum of its proper divisors (218845095721780).

233434514312144 is a wasteful number, since it uses less digits than its factorization.

233434514312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695302 (or 7695296 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 44.

Adding to 233434514312144 its reverse (441213415434332), we get a palindrome (674647929746476).

The spelling of 233434514312144 in words is "two hundred thirty-three trillion, four hundred thirty-four billion, five hundred fourteen million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 3384257 4311037 6768514 8622074 13537028 17244148 27074056 34488296 54148112 68976592 14589657144509 29179314289018 58358628578036 116717257156072 233434514312144