Search a number
-
+
1141197463296 = 283211196138851
BaseRepresentation
bin10000100110110100101…
…010110101111100000000
311001002122000100202001200
4100212310222311330000
5122144133022311141
62232131530101200
7145306636246662
oct20466452657400
94032560322050
101141197463296
113aaa85242a20
1216520887a800
13837cac744a7
143d33cb04532
151ea42671ab6
hex109b4ab5f00

1141197463296 has 432 divisors, whose sum is σ = 3840436279680. Its totient is φ = 322237440000.

The previous prime is 1141197463283. The next prime is 1141197463309. The reversal of 1141197463296 is 6923647911411.

1141197463296 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 97 + 463 + 2 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1141197463283) and next prime (1141197463309).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29354271 + ... + 29393121.

Almost surely, 21141197463296 is an apocalyptic number.

1141197463296 is a gapful number since it is divisible by the number (16) 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 1141197463296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920218139840).

1141197463296 is an abundant number, since it is smaller than the sum of its proper divisors (2699238816384).

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

1141197463296 is a wasteful number, since it uses less digits than its factorization.

1141197463296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38964 (or 38947 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 1141197463296 in words is "one trillion, one hundred forty-one billion, one hundred ninety-seven million, four hundred sixty-three thousand, two hundred ninety-six".