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42404220036 = 223329431791759
BaseRepresentation
bin100111011111011111…
…010000110010000100
311001110020000120101000
4213133133100302010
51143320440020121
631251421333300
73030546631443
oct473737206204
9131406016330
1042404220036
1116a90093152
128275107230
133cca1b7c79
1420a3a08d5a
151182ae3526
hex9df7d0c84

42404220036 has 192 divisors, whose sum is σ = 117089280000. Its totient is φ = 13247950464.

The previous prime is 42404220031. The next prime is 42404220097. The reversal of 42404220036 is 63002240424.

42404220036 is a `hidden beast` number, since 4 + 2 + 404 + 220 + 0 + 36 = 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 = 42404219991 and 42404220009.

It is not an unprimeable number, because it can be changed into a prime (42404220031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24106125 + ... + 24107883.

It is an arithmetic number, because the mean of its divisors is an integer number (609840000).

Almost surely, 242404220036 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 42404220036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640000).

42404220036 is an abundant number, since it is smaller than the sum of its proper divisors (74685059964).

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

42404220036 is a wasteful number, since it uses less digits than its factorization.

42404220036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 42404220036 in words is "forty-two billion, four hundred four million, two hundred twenty thousand, thirty-six".