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321421200000 = 27355614391
BaseRepresentation
bin1001010110101100011…
…00100100101010000000
31010201122101200201212220
410223112030210222000
520231232311400000
6403354151451040
732136055056435
oct4532614445200
91121571621786
10321421200000
1111434a98497a
1252363386a80
1324404a98694
14117b2097b8c
1585630ab1a0
hex4ad6324a80

321421200000 has 384 divisors, whose sum is σ = 1084891812480. Its totient is φ = 84288000000.

The previous prime is 321421199941. The next prime is 321421200029. The reversal of 321421200000 is 2124123.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73197805 + ... + 73202195.

It is an arithmetic number, because the mean of its divisors is an integer number (2825239095).

Almost surely, 2321421200000 is an apocalyptic number.

321421200000 is a gapful number since it is divisible by the number (30) 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 321421200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542445906240).

321421200000 is an abundant number, since it is smaller than the sum of its proper divisors (763470612480).

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

321421200000 is an frugal number, since it uses more digits than its factorization.

321421200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 321421200000 its reverse (2124123), we get a palindrome (321423324123).

The spelling of 321421200000 in words is "three hundred twenty-one billion, four hundred twenty-one million, two hundred thousand".