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1320790422144 = 273192315435101
BaseRepresentation
bin10011001110000101001…
…111100111001010000000
311200021012011012022211010
4103032011033213022000
5133114434322002034
62450432430320520
7164265263231124
oct23160517471200
94607164168733
101320790422144
1146a164840056
12193b8a059140
139771c48058b
1447cd8825584
15245542753e9
hex133853e7280

1320790422144 has 256 divisors, whose sum is σ = 3856818124800. Its totient is φ = 398620569600.

The previous prime is 1320790422143. The next prime is 1320790422191. The reversal of 1320790422144 is 4412240970231.

It is not an unprimeable number, because it can be changed into a prime (1320790422143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258925194 + ... + 258930294.

It is an arithmetic number, because the mean of its divisors is an integer number (15065695800).

Almost surely, 21320790422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320790422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928409062400).

1320790422144 is an abundant number, since it is smaller than the sum of its proper divisors (2536027702656).

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

1320790422144 is a wasteful number, since it uses less digits than its factorization.

1320790422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6703 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1320790422144 in words is "one trillion, three hundred twenty billion, seven hundred ninety million, four hundred twenty-two thousand, one hundred forty-four".