Search a number
-
+
2104413432000 = 26353117971263
BaseRepresentation
bin11110100111111000110…
…100001010100011000000
321110011212012010202202020
4132213320310022203000
5233434314314311000
64250430523121440
7305016220014165
oct36477064124300
97404765122666
102104413432000
1174152757a750
1229ba23973280
131235a352a829
1473bd5b2406c
1539b19905ba0
hex1e9f8d0a8c0

2104413432000 has 224 divisors, whose sum is σ = 7580480753664. Its totient is φ = 510160768000.

The previous prime is 2104413431999. The next prime is 2104413432001. The reversal of 2104413432000 is 2343144012.

It is an interprime number because it is at equal distance from previous prime (2104413431999) and next prime (2104413432001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2104413432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3721632 + ... + 4249631.

It is an arithmetic number, because the mean of its divisors is an integer number (33841431936).

Almost surely, 22104413432000 is an apocalyptic number.

2104413432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104413432000 is an abundant number, since it is smaller than the sum of its proper divisors (5476067321664).

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

2104413432000 is a wasteful number, since it uses less digits than its factorization.

2104413432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971304 (or 7971284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2104413432000 its reverse (2343144012), we get a palindrome (2106756576012).

The spelling of 2104413432000 in words is "two trillion, one hundred four billion, four hundred thirteen million, four hundred thirty-two thousand".