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1322404642944 = 273272115936097
BaseRepresentation
bin10011001111100101011…
…101011000000010000000
311200102100122122020110200
4103033211131120002000
5133131241042033234
62451300532525200
7164353264000200
oct23174535300200
94612318566420
101322404642944
1146a912a45030
1219435a780800
1397918a25108
144800cd7c400
15245ead32d99
hex133e5758080

1322404642944 has 576 divisors, whose sum is σ = 4911046264800. Its totient is φ = 337650647040.

The previous prime is 1322404642907. The next prime is 1322404642963. The reversal of 1322404642944 is 4492464042231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 1322404642944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36616704 + ... + 36652800.

Almost surely, 21322404642944 is an apocalyptic number.

1322404642944 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 1322404642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455523132400).

1322404642944 is an abundant number, since it is smaller than the sum of its proper divisors (3588641621856).

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

1322404642944 is a wasteful number, since it uses less digits than its factorization.

1322404642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36201 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 1322404642944 in words is "one trillion, three hundred twenty-two billion, four hundred four million, six hundred forty-two thousand, nine hundred forty-four".