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1139226096000 = 27353534311039
BaseRepresentation
bin10000100100111111001…
…010101011000110000000
311000220112121212220112010
4100210333022223012000
5122131113340033000
62231204144532520
7145210041020316
oct20447712530600
94026477786463
101139226096000
113aa163482553
12164958621140
1383575713975
143d1d2d800b6
151e979567d50
hex1093f2ab180

1139226096000 has 512 divisors, whose sum is σ = 3860429414400. Its totient is φ = 297083904000.

The previous prime is 1139226095881. The next prime is 1139226096017. The reversal of 1139226096000 is 6906229311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1139226096000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1096463481 + ... + 1096464519.

It is an arithmetic number, because the mean of its divisors is an integer number (7539901200).

Almost surely, 21139226096000 is an apocalyptic number.

1139226096000 is a gapful number since it is divisible by the number (10) 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 1139226096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930214707200).

1139226096000 is an abundant number, since it is smaller than the sum of its proper divisors (2721203318400).

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

1139226096000 is a wasteful number, since it uses less digits than its factorization.

1139226096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 1139226096000 in words is "one trillion, one hundred thirty-nine billion, two hundred twenty-six million, ninety-six thousand".