Search a number
-
+
4040482277088 = 2534171929166417
BaseRepresentation
bin111010110010111111100…
…000101100011011100000
3112022021012011020110020000
4322302333200230123200
51012144401430331323
612332101045420000
7564625626454425
oct72627740543340
915267164213200
104040482277088
111318616a01614
125530a540a600
13234028a6924a
14dd7bb9abd4c
157017eea8e43
hex3acbf82c6e0

4040482277088 has 480 divisors, whose sum is σ = 13700927671200. Its totient is φ = 1159469531136.

The previous prime is 4040482277087. The next prime is 4040482277093. The reversal of 4040482277088 is 8807722840404.

4040482277088 is a `hidden beast` number, since 4 + 0 + 404 + 8 + 227 + 7 + 0 + 8 + 8 = 666.

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 (4040482277087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24196056 + ... + 24362472.

It is an arithmetic number, because the mean of its divisors is an integer number (28543599315).

Almost surely, 24040482277088 is an apocalyptic number.

4040482277088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040482277088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850463835600).

4040482277088 is an abundant number, since it is smaller than the sum of its proper divisors (9660445394112).

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

4040482277088 is a wasteful number, since it uses less digits than its factorization.

4040482277088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166504 (or 166487 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 4040482277088 in words is "four trillion, forty billion, four hundred eighty-two million, two hundred seventy-seven thousand, eighty-eight".