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1140896831445 = 3257219316114401
BaseRepresentation
bin10000100110100010110…
…000000001011111010101
311001001212001200001200200
4100212202300001133111
5122143024042101240
62232042030331113
7145266326026200
oct20464260013725
94031761601620
101140896831445
113aa940577848
12165144059a99
13837808b4c17
143d310c08937
151ea2608a930
hex109a2c017d5

1140896831445 has 288 divisors, whose sum is σ = 2540761666560. Its totient is φ = 470292480000.

The previous prime is 1140896831441. The next prime is 1140896831497. The reversal of 1140896831445 is 5441386980411.

1140896831445 is a `hidden beast` number, since 1 + 1 + 40 + 89 + 6 + 83 + 1 + 445 = 666.

It is not a de Polignac number, because 1140896831445 - 22 = 1140896831441 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1140896831391 and 1140896831400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140896831441) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 79216245 + ... + 79230645.

It is an arithmetic number, because the mean of its divisors is an integer number (8822089120).

Almost surely, 21140896831445 is an apocalyptic number.

1140896831445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1140896831445 is an abundant number, since it is smaller than the sum of its proper divisors (1399864835115).

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

1140896831445 is a wasteful number, since it uses less digits than its factorization.

1140896831445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14537 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1140896831445 in words is "one trillion, one hundred forty billion, eight hundred ninety-six million, eight hundred thirty-one thousand, four hundred forty-five".