Search a number
-
+
4240989881856 = 29347131995647
BaseRepresentation
bin111101101101101110101…
…100100000011000000000
3120000102201212200010120000
4331231232230200120000
51023441021402204411
613004141151320000
7615254453130630
oct75555654403000
916012655603500
104240989881856
111395659253792
12585b22b20000
13249c012a3a70
1410939d2646c0
15754b7c99956
hex3db6eb20600

4240989881856 has 800 divisors, whose sum is σ = 15660431001600. Its totient is φ = 1112685133824.

The previous prime is 4240989881747. The next prime is 4240989881857. The reversal of 4240989881856 is 6581889890424.

4240989881856 is a `hidden beast` number, since 4 + 2 + 409 + 8 + 98 + 81 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240989881857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 751013625 + ... + 751019271.

It is an arithmetic number, because the mean of its divisors is an integer number (19575538752).

Almost surely, 24240989881856 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 4240989881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830215500800).

4240989881856 is an abundant number, since it is smaller than the sum of its proper divisors (11419441119744).

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

4240989881856 is a wasteful number, since it uses less digits than its factorization.

4240989881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 4240989881856 in words is "four trillion, two hundred forty billion, nine hundred eighty-nine million, eight hundred eighty-one thousand, eight hundred fifty-six".