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2042243474040 = 233257112294143131
BaseRepresentation
bin11101101101111111001…
…100100110001001111000
321020020101110101200021200
4131231333030212021320
5231430003312132130
64202105501134200
7300355461052350
oct35557714461170
97206343350250
102042243474040
11718124222100
1228b97325a360
1311a77635a163
1470bb8db3b60
15381cb91c760
hex1db7f326278

2042243474040 has 2304 divisors, whose sum is σ = 9110131430400. Its totient is φ = 387459072000.

The previous prime is 2042243474009. The next prime is 2042243474093. The reversal of 2042243474040 is 404743422402.

2042243474040 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 243 + 4 + 7 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042243473986 and 2042243474004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15589644775 + ... + 15589644905.

It is an arithmetic number, because the mean of its divisors is an integer number (3954050100).

Almost surely, 22042243474040 is an apocalyptic number.

2042243474040 is a gapful number since it is divisible by the number (20) 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 2042243474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555065715200).

2042243474040 is an abundant number, since it is smaller than the sum of its proper divisors (7067887956360).

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

2042243474040 is a wasteful number, since it uses less digits than its factorization.

2042243474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 36.

Adding to 2042243474040 its reverse (404743422402), we get a palindrome (2446986896442).

The spelling of 2042243474040 in words is "two trillion, forty-two billion, two hundred forty-three million, four hundred seventy-four thousand, forty".