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1332400300000 = 2555711173039
BaseRepresentation
bin10011011000111001001…
…111110001111111100000
311201101011021020020012021
4103120321033301333200
5133312223434100000
62500032442311224
7165156056453410
oct23307117617740
94641137206167
101332400300000
11474082263130
1219628a1b8514
139884c8518a3
14486ba6d0640
15249d363411a
hex136393f1fe0

1332400300000 has 288 divisors, whose sum is σ = 4087808363520. Its totient is φ = 415291200000.

The previous prime is 1332400299977. The next prime is 1332400300019. The reversal of 1332400300000 is 30042331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7613481 + ... + 7786519.

It is an arithmetic number, because the mean of its divisors is an integer number (14193779040).

Almost surely, 21332400300000 is an apocalyptic number.

1332400300000 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 1332400300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043904181760).

1332400300000 is an abundant number, since it is smaller than the sum of its proper divisors (2755408063520).

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

1332400300000 is an equidigital number, since it uses as much as digits as its factorization.

1332400300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173092 (or 173064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1332400300000 its reverse (30042331), we get a palindrome (1332430342331).

The spelling of 1332400300000 in words is "one trillion, three hundred thirty-two billion, four hundred million, three hundred thousand".