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1940376404736 = 283472111271367
BaseRepresentation
bin11100001111000111011…
…100100100001100000000
320212111110011112101110000
4130033013130210030000
5223242342324422421
64043221400240000
7260121223210200
oct34170734441400
96774404471400
101940376404736
116889aa993220
12274084170000
13110c90aa6aa3
1469cb3dbc400
153571882c226
hex1c3c7724300

1940376404736 has 1080 divisors, whose sum is σ = 7405569110016. Its totient is φ = 499659632640.

The previous prime is 1940376404731. The next prime is 1940376404737. The reversal of 1940376404736 is 6374046730491.

1940376404736 is a `hidden beast` number, since 194 + 0 + 376 + 40 + 47 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1940376404731) 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 119 ways as a sum of consecutive naturals, for example, 1419440725 + ... + 1419442091.

Almost surely, 21940376404736 is an apocalyptic number.

1940376404736 is a gapful number since it is divisible by the number (16) 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 1940376404736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702784555008).

1940376404736 is an abundant number, since it is smaller than the sum of its proper divisors (5465192705280).

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

1940376404736 is a wasteful number, since it uses less digits than its factorization.

1940376404736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 1940376404736 in words is "one trillion, nine hundred forty billion, three hundred seventy-six million, four hundred four thousand, seven hundred thirty-six".