Search a number
-
+
1116485010240 = 263519431423507
BaseRepresentation
bin10000001111110011101…
…100010100001101000000
310221201211202112001111120
4100033303230110031000
5121243030130311430
62212523420312240
7143443353000615
oct20176354241500
93851752461446
101116485010240
113a05537551a6
121604706a2680
13813901987c2
143c076a0c50c
151e097d4d610
hex103f3b14340

1116485010240 has 224 divisors, whose sum is σ = 3818190097920. Its totient is φ = 275499657216.

The previous prime is 1116485010217. The next prime is 1116485010241. The reversal of 1116485010240 is 420105846111.

It is a super-2 number, since 2×11164850102402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116485010241) 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 31 ways as a sum of consecutive naturals, for example, 72567 + ... + 1496073.

Almost surely, 21116485010240 is an apocalyptic number.

1116485010240 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 1116485010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909095048960).

1116485010240 is an abundant number, since it is smaller than the sum of its proper divisors (2701705087680).

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

1116485010240 is a wasteful number, since it uses less digits than its factorization.

1116485010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423589 (or 1423579 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 1116485010240 in words is "one trillion, one hundred sixteen billion, four hundred eighty-five million, ten thousand, two hundred forty".