Search a number
-
+
1300860999144 = 2332721925177317
BaseRepresentation
bin10010111011100001010…
…110111001010111101000
311121100202020110202000100
4102323201112321113220
5132303130403433034
62433335101505400
7162661356023100
oct22734126712750
94540666422010
101300860999144
11461768136633
12190147872260
13958945b6ca5
1446d67a72200
1523c897eb099
hex12ee15b95e8

1300860999144 has 288 divisors, whose sum is σ = 4331323432800. Its totient is φ = 350705376000.

The previous prime is 1300860999133. The next prime is 1300860999227. The reversal of 1300860999144 is 4419990680031.

It is a happy number.

1300860999144 is a `hidden beast` number, since 13 + 0 + 0 + 8 + 609 + 9 + 9 + 14 + 4 = 666.

It is a super-3 number, since 3×13008609991443 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16786374 + ... + 16863690.

It is an arithmetic number, because the mean of its divisors is an integer number (15039317475).

Almost surely, 21300860999144 is an apocalyptic number.

1300860999144 is a gapful number since it is divisible by the number (14) 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 1300860999144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165661716400).

1300860999144 is an abundant number, since it is smaller than the sum of its proper divisors (3030462433656).

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

1300860999144 is a wasteful number, since it uses less digits than its factorization.

1300860999144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77613 (or 77599 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1300860999144 in words is "one trillion, three hundred billion, eight hundred sixty million, nine hundred ninety-nine thousand, one hundred forty-four".