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1141365012480 = 21135572112337
BaseRepresentation
bin10000100110111110101…
…001111111100000000000
311001010001200122010100000
4100212332221333200000
5122200003420344410
62232200313200000
7145314042350400
oct20467651774000
94033050563300
101141365012480
11400060881120
12165254a00000
13838268a9114
143d35707a800
151ea5221adc0
hex109bea7f800

1141365012480 has 3456 divisors, whose sum is σ = 5579014371840. Its totient is φ = 220723937280.

The previous prime is 1141365012427. The next prime is 1141365012533. The reversal of 1141365012480 is 842105631411.

1141365012480 is a `hidden beast` number, since 1 + 1 + 41 + 36 + 501 + 2 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1141365012427) and next prime (1141365012533).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30847703022 + ... + 30847703058.

It is an arithmetic number, because the mean of its divisors is an integer number (1614298140).

Almost surely, 21141365012480 is an apocalyptic number.

1141365012480 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 1141365012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789507185920).

1141365012480 is an abundant number, since it is smaller than the sum of its proper divisors (4437649359360).

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

1141365012480 is a wasteful number, since it uses less digits than its factorization.

1141365012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1141365012480 in words is "one trillion, one hundred forty-one billion, three hundred sixty-five million, twelve thousand, four hundred eighty".