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163143303420240 = 243451113734635209
BaseRepresentation
bin100101000110000011000010…
…101001011101100101010000
3210101122100101022122100010000
4211012003002221131211100
5132340414441133421430
61334550555434210000
746235500100413143
oct4506030251354520
9711570338570100
10163143303420240
1147a89760709670
121636a322283900
1370054695c5340
142c4026c69a05a
1513cdae9813e60
hex9460c2a5d950

163143303420240 has 1600 divisors, whose sum is σ = 676386638484480. Its totient is φ = 35922820792320.

The previous prime is 163143303420217. The next prime is 163143303420247. The reversal of 163143303420240 is 42024303341361.

It is a happy number.

163143303420240 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 43 + 30 + 342 + 0 + 240 = 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 = 163143303420195 and 163143303420204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163143303420247) 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 319 ways as a sum of consecutive naturals, for example, 31319502756 + ... + 31319507964.

Almost surely, 2163143303420240 is an apocalyptic number.

163143303420240 is a gapful number since it is divisible by the number (10) 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 163143303420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338193319242240).

163143303420240 is an abundant number, since it is smaller than the sum of its proper divisors (513243335064240).

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

163143303420240 is a wasteful number, since it uses less digits than its factorization.

163143303420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 163143303420240 in words is "one hundred sixty-three trillion, one hundred forty-three billion, three hundred three million, four hundred twenty thousand, two hundred forty".