Search a number
-
+
1104220040000 = 26547111721089
BaseRepresentation
bin10000000100011000101…
…001001010101101000000
310220120011222211000022112
4100010120221022231000
5121042420312240000
62203134403354452
7142530413322110
oct20043051125500
93816158730275
101104220040000
1139632a475560
1215a009082a28
138018717c66c
143b631b39040
151dacb1dd235
hex10118a4ab40

1104220040000 has 560 divisors, whose sum is σ = 3614723418240. Its totient is φ = 323911680000.

The previous prime is 1104220039997. The next prime is 1104220040023. The reversal of 1104220040000 is 400224011.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52349456 + ... + 52370544.

Almost surely, 21104220040000 is an apocalyptic number.

1104220040000 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 1104220040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807361709120).

1104220040000 is an abundant number, since it is smaller than the sum of its proper divisors (2510503378240).

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

1104220040000 is a wasteful number, since it uses less digits than its factorization.

1104220040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21156 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1104220040000 its reverse (400224011), we get a palindrome (1104620264011).

The spelling of 1104220040000 in words is "one trillion, one hundred four billion, two hundred twenty million, forty thousand".