Search a number
-
+
3411231140000 = 25542910935381
BaseRepresentation
bin110001101000111101001…
…110000110100010100000
3110002002222120012200011002
4301220331032012202200
5421342200132440000
611131033054011132
7501311326162355
oct61507516064240
913062876180132
103411231140000
1110a5771058862
124711524a6aa8
131b98a6c339c8
14bb16693662c
155db021378d5
hex31a3d3868a0

3411231140000 has 240 divisors, whose sum is σ = 8691082119720. Its totient is φ = 1315991040000.

The previous prime is 3411231139973. The next prime is 3411231140011. The reversal of 3411231140000 is 411321143.

It can be written as a sum of positive squares in 20 ways, for example, as 570671463184 + 2840559676816 = 755428^2 + 1685396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 633937310 + ... + 633942690.

Almost surely, 23411231140000 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 3411231140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345541059860).

3411231140000 is an abundant number, since it is smaller than the sum of its proper divisors (5279850979720).

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

3411231140000 is a wasteful number, since it uses less digits than its factorization.

3411231140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6533 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3411231140000 its reverse (411321143), we get a palindrome (3411642461143).

The spelling of 3411231140000 in words is "three trillion, four hundred eleven billion, two hundred thirty-one million, one hundred forty thousand".