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6141223008 = 253423313323
BaseRepresentation
bin1011011100000101…
…11010000001100000
3120211222210110020000
411232002322001200
5100034123114013
62453215420000
7305120351154
oct55602720140
916758713200
106141223008
112671618818
121234824600
1376b41398b
14423891064
1525e231973
hex16e0ba060

6141223008 has 240 divisors, whose sum is σ = 19460238336. Its totient is φ = 1894337280.

The previous prime is 6141222991. The next prime is 6141223013. The reversal of 6141223008 is 8003221416.

6141223008 is a `hidden beast` number, since 614 + 12 + 2 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1846435 + ... + 1849757.

Almost surely, 26141223008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6141223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730119168).

6141223008 is an abundant number, since it is smaller than the sum of its proper divisors (13319015328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6141223008 is a wasteful number, since it uses less digits than its factorization.

6141223008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6141223008 is about 78365.9556695380. The cubic root of 6141223008 is about 1831.2668035935.

The spelling of 6141223008 in words is "six billion, one hundred forty-one million, two hundred twenty-three thousand, eight".