Search a number
-
+
1027099441116 = 223273316143987
BaseRepresentation
bin11101111001000111110…
…01011011011111011100
310122012010022210200002100
432330203321123133130
5113311444424103431
62103502025325100
7134130324126000
oct16744371333734
93565108720070
101027099441116
11366654949121
12147085636790
1375b167556b8
14379d7572700
151bab58e04e6
hexef23e5b7dc

1027099441116 has 288 divisors, whose sum is σ = 3176707788800. Its totient is φ = 279328694400.

The previous prime is 1027099441057. The next prime is 1027099441127. The reversal of 1027099441116 is 6111449907201.

1027099441116 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 99 + 441 + 116 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23328075 + ... + 23372061.

Almost surely, 21027099441116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027099441116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588353894400).

1027099441116 is an abundant number, since it is smaller than the sum of its proper divisors (2149608347684).

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

1027099441116 is a wasteful number, since it uses less digits than its factorization.

1027099441116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44110 (or 44091 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1027099441116 in words is "one trillion, twenty-seven billion, ninety-nine million, four hundred forty-one thousand, one hundred sixteen".