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1130872412880 = 243357176916367
BaseRepresentation
bin10000011101001101001…
…111111001101011010000
311000002222102221211121000
4100131031033321223100
5122012011314203010
62223303212302000
7144463033623120
oct20351517715320
94002872854530
101130872412880
113a6666aa4801
12163206a71900
1382843b280c2
143ca3d72ac80
151e63aea77c0
hex1074d3f9ad0

1130872412880 has 640 divisors, whose sum is σ = 4721114972160. Its totient is φ = 242889891840.

The previous prime is 1130872412809. The next prime is 1130872412927. The reversal of 1130872412880 is 882142780311.

1130872412880 is a `hidden beast` number, since 1 + 1 + 308 + 7 + 241 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177611457 + ... + 177617823.

It is an arithmetic number, because the mean of its divisors is an integer number (7376742144).

Almost surely, 21130872412880 is an apocalyptic number.

1130872412880 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 1130872412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360557486080).

1130872412880 is an abundant number, since it is smaller than the sum of its proper divisors (3590242559280).

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

1130872412880 is a wasteful number, since it uses less digits than its factorization.

1130872412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1130872412880 in words is "one trillion, one hundred thirty billion, eight hundred seventy-two million, four hundred twelve thousand, eight hundred eighty".