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1320424940016 = 2433713239313449
BaseRepresentation
bin10011001101101111011…
…101011010000111110000
311200020020200110220121000
4103031233131122013300
5133113212241040031
62450332253002000
7164253234542430
oct23155735320760
94606220426530
101320424940016
11469a97500a06
12193aa7783300
1397691836470
1447ca20882c0
152453212e3e6
hex1336f75a1f0

1320424940016 has 640 divisors, whose sum is σ = 4709698560000. Its totient is φ = 344909021184.

The previous prime is 1320424939997. The next prime is 1320424940041. The reversal of 1320424940016 is 6100494240231.

1320424940016 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 249 + 400 + 1 + 6 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2940812560 + ... + 2940813008.

It is an arithmetic number, because the mean of its divisors is an integer number (7358904000).

Almost surely, 21320424940016 is an apocalyptic number.

1320424940016 is a gapful number since it is divisible by the number (16) 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 1320424940016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354849280000).

1320424940016 is an abundant number, since it is smaller than the sum of its proper divisors (3389273619984).

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

1320424940016 is a wasteful number, since it uses less digits than its factorization.

1320424940016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1320424940016 in words is "one trillion, three hundred twenty billion, four hundred twenty-four million, nine hundred forty thousand, sixteen".