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1320299495424 = 2153371323231
BaseRepresentation
bin10011001101100111111…
…110111000000000000000
311200012220221102122222000
4103031213332320000000
5133112433132323144
62450312012144000
7164250152353650
oct23154776700000
94605827378860
101320299495424
11469a32710598
12193a71768000
13976718542b0
1447c8d552360
1524526100769
hex13367fb8000

1320299495424 has 1536 divisors, whose sum is σ = 5195488972800. Its totient is φ = 322327019520.

The previous prime is 1320299495423. The next prime is 1320299495453. The reversal of 1320299495424 is 4245949920231.

It is a happy number.

1320299495424 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 9 + 94 + 9 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320299495423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42590306289 + ... + 42590306319.

It is an arithmetic number, because the mean of its divisors is an integer number (3382479800).

Almost surely, 21320299495424 is an apocalyptic number.

1320299495424 is a gapful number since it is divisible by the number (14) 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 1320299495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597744486400).

1320299495424 is an abundant number, since it is smaller than the sum of its proper divisors (3875189477376).

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

1320299495424 is an equidigital number, since it uses as much as digits as its factorization.

1320299495424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1320299495424 in words is "one trillion, three hundred twenty billion, two hundred ninety-nine million, four hundred ninety-five thousand, four hundred twenty-four".