Search a number
-
+
4402300441104 = 2432192471801823
BaseRepresentation
bin100000000001111110110…
…0011011101001000010000
3120120212002212221120212100
41000003331203131020100
51034111402403103404
613210220000400400
7633025052223366
oct100037543351020
916525085846770
104402300441104
111448006916465
125b1241616100
1325c19ac04917
14113102c47636
15797a9810d39
hex400fd8dd210

4402300441104 has 180 divisors, whose sum is σ = 13279558196736. Its totient is φ = 1360620657792.

The previous prime is 4402300441093. The next prime is 4402300441117. The reversal of 4402300441104 is 4011440032044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1542337 + ... + 3344159.

Almost surely, 24402300441104 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 4402300441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639779098368).

4402300441104 is an abundant number, since it is smaller than the sum of its proper divisors (8877257755632).

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

4402300441104 is a wasteful number, since it uses less digits than its factorization.

4402300441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801922 (or 1801894 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4402300441104 its reverse (4011440032044), we get a palindrome (8413740473148).

The spelling of 4402300441104 in words is "four trillion, four hundred two billion, three hundred million, four hundred forty-one thousand, one hundred four".