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1323930142080 = 2732571329251347
BaseRepresentation
bin10011010001000000011…
…000101100010110000000
311200120021222010121212200
4103101000120230112000
5133142402104021310
62452112145353200
7164436136346430
oct23210030542600
94616258117780
101323930142080
11470526061117
12194705638800
1397accaa4820
14481157dc2c0
1524689c179c0
hex1344062c580

1323930142080 has 1536 divisors, whose sum is σ = 5860758758400. Its totient is φ = 267853824000.

The previous prime is 1323930142079. The next prime is 1323930142091. The reversal of 1323930142080 is 802410393231.

1323930142080 is a `hidden beast` number, since 1 + 3 + 239 + 301 + 42 + 0 + 80 = 666.

It is a super-2 number, since 2×13239301420802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3815360467 + ... + 3815360813.

It is an arithmetic number, because the mean of its divisors is an integer number (3815598150).

Almost surely, 21323930142080 is an apocalyptic number.

1323930142080 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 1323930142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930379379200).

1323930142080 is an abundant number, since it is smaller than the sum of its proper divisors (4536828616320).

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

1323930142080 is a wasteful number, since it uses less digits than its factorization.

1323930142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1323930142080 in words is "one trillion, three hundred twenty-three billion, nine hundred thirty million, one hundred forty-two thousand, eighty".