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3013314440040 = 233457997121367
BaseRepresentation
bin101011110110010111100…
…010010110101101101000
3101200001220001201220120000
4223312113202112231220
5343332231444040130
610224144134103000
7430463512062402
oct53662742265550
911601801656500
103013314440040
11a61a37498633
12408000aaaa60
1318b2010b71a8
14a5bb9313b72
15535b35a8260
hex2bd97896b68

3013314440040 has 320 divisors, whose sum is σ = 10362108556800. Its totient is φ = 785193357312.

The previous prime is 3013314439991. The next prime is 3013314440069. The reversal of 3013314440040 is 400444133103.

3013314440040 is a `hidden beast` number, since 301 + 3 + 314 + 4 + 4 + 0 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3013314439986 and 3013314440013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24767437 + ... + 24888803.

It is an arithmetic number, because the mean of its divisors is an integer number (32381589240).

Almost surely, 23013314440040 is an apocalyptic number.

3013314440040 is a gapful number since it is divisible by the number (30) 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 3013314440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181054278400).

3013314440040 is an abundant number, since it is smaller than the sum of its proper divisors (7348794116760).

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

3013314440040 is a wasteful number, since it uses less digits than its factorization.

3013314440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121566 (or 121553 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3013314440040 its reverse (400444133103), we get a palindrome (3413758573143).

The spelling of 3013314440040 in words is "three trillion, thirteen billion, three hundred fourteen million, four hundred forty thousand, forty".