Search a number
-
+
3240455061888 = 27361131101839
BaseRepresentation
bin101111001001111010001…
…011000100000110000000
3102110210011212220001000000
4233021322023010012000
5411042422443440023
610520351114000000
7453054332362662
oct57117213040600
912423155801000
103240455061888
11103a2a6449720
12444031a16000
131a675c281305
14b2ba5ba0532
15594595dd243
hex2f27a2c4180

3240455061888 has 448 divisors, whose sum is σ = 10899584870400. Its totient is φ = 950270745600.

The previous prime is 3240455061881. The next prime is 3240455061889. The reversal of 3240455061888 is 8881605540423.

3240455061888 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 4 + 550 + 6 + 1 + 8 + 88 = 666.

It is a super-3 number, since 3×32404550618883 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240455061881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31768473 + ... + 31870311.

Almost surely, 23240455061888 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 3240455061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449792435200).

3240455061888 is an abundant number, since it is smaller than the sum of its proper divisors (7659129808512).

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

3240455061888 is a wasteful number, since it uses less digits than its factorization.

3240455061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101913 (or 101886 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 3240455061888 in words is "three trillion, two hundred forty billion, four hundred fifty-five million, sixty-one thousand, eight hundred eighty-eight".