Search a number
-
+
104434403320 = 235133153251487
BaseRepresentation
bin110000101000011000…
…1101000011111111000
3100222120012202101000201
41201100301220133320
53202340201401240
6115550531411544
710354660532032
oct1412061503770
9328505671021
10104434403320
1140321552a35
12182a6a53bb4
139b04429a30
1450a9d72c52
152ab36bbd9a
hex1850c687f8

104434403320 has 256 divisors, whose sum is σ = 267753185280. Its totient is φ = 36391680000.

The previous prime is 104434403273. The next prime is 104434403323. The reversal of 104434403320 is 23304434401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104434403323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 214444117 + ... + 214444603.

It is an arithmetic number, because the mean of its divisors is an integer number (1045910880).

Almost surely, 2104434403320 is an apocalyptic number.

104434403320 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 104434403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133876592640).

104434403320 is an abundant number, since it is smaller than the sum of its proper divisors (163318781960).

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

104434403320 is a wasteful number, since it uses less digits than its factorization.

104434403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 104434403320 its reverse (23304434401), we get a palindrome (127738837721).

The spelling of 104434403320 in words is "one hundred four billion, four hundred thirty-four million, four hundred three thousand, three hundred twenty".