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332421320000 = 2654711372917
BaseRepresentation
bin1001101011001011101…
…10101100110101000000
31011210001000100201201202
410311211312230311000
520421244324220000
6412413502320332
733005465412230
oct4654566546500
91153030321652
10332421320000
11118a85194940
12545132890a8
1325468a35823
1412136d99cc0
1589a8b70dd5
hex4d65dacd40

332421320000 has 560 divisors, whose sum is σ = 1055832125568. Its totient is φ = 100776960000.

The previous prime is 332421319943. The next prime is 332421320003. The reversal of 332421320000 is 23124233.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3324213200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332421320003) 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 79 ways as a sum of consecutive naturals, for example, 113958542 + ... + 113961458.

Almost surely, 2332421320000 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 332421320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527916062784).

332421320000 is an abundant number, since it is smaller than the sum of its proper divisors (723410805568).

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

332421320000 is a wasteful number, since it uses less digits than its factorization.

332421320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 332421320000 its reverse (23124233), we get a palindrome (332444444233).

The spelling of 332421320000 in words is "three hundred thirty-two billion, four hundred twenty-one million, three hundred twenty thousand".