Search a number
-
+
1000544010000 = 24354172373119
BaseRepresentation
bin11101000111101010001…
…00011111111100010000
310112122120122001222220120
432203311010133330100
5112343103231310000
62043351002310240
7132200261522013
oct16436504377420
93478518058816
101000544010000
11356368011737
12141ab41b8380
1373473bbc752
14365d87b737a
151b05e3c46a0
hexe8f511ff10

1000544010000 has 600 divisors, whose sum is σ = 3524920164480. Its totient is φ = 244251648000.

The previous prime is 1000544009987. The next prime is 1000544010019. The reversal of 1000544010000 is 104450001.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 320788441 + ... + 320791559.

Almost surely, 21000544010000 is an apocalyptic number.

1000544010000 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 1000544010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762460082240).

1000544010000 is an abundant number, since it is smaller than the sum of its proper divisors (2524376154480).

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

1000544010000 is a wasteful number, since it uses less digits than its factorization.

1000544010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 1000544010000 its reverse (104450001), we get a palindrome (1000648460001).

The spelling of 1000544010000 in words is "one trillion, five hundred forty-four million, ten thousand".