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31040529810048 = 2734114120113301
BaseRepresentation
bin1110000111011001011111…
…10000001100001010000000
311001220110000220002212020000
413003230233300030022000
513032032001112410143
6150003453400120000
76352414160010603
oct703545760141200
9131813026085200
1031040529810048
11998823a942130
123593a42766000
13144215647bac5
147945264b633a
1538c67e7ccbd3
hex1c3b2fc0c280

31040529810048 has 640 divisors, whose sum is σ = 103314465334080. Its totient is φ = 9169459200000.

The previous prime is 31040529810011. The next prime is 31040529810109. The reversal of 31040529810048 is 84001892504013.

31040529810048 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 0 + 529 + 81 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31040529809985 and 31040529810012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9403369998 + ... + 9403373298.

Almost surely, 231040529810048 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 31040529810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51657232667040).

31040529810048 is an abundant number, since it is smaller than the sum of its proper divisors (72273935524032).

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

31040529810048 is a wasteful number, since it uses less digits than its factorization.

31040529810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 31040529810048 in words is "thirty-one trillion, forty billion, five hundred twenty-nine million, eight hundred ten thousand, forty-eight".