Search a number
-
+
104533321440 = 25351965917393
BaseRepresentation
bin110000101011010101…
…0111110011011100000
3100222211002212221011210
41201112222332123200
53203041012241230
6120004423510120
710360301400042
oct1412652763340
9328732787153
10104533321440
1140372375649
1218313bb8340
139b1ba81c72
1450b9161a92
152abc20aeb0
hex1856abe6e0

104533321440 has 192 divisors, whose sum is σ = 347156409600. Its totient is φ = 26366828544.

The previous prime is 104533321429. The next prime is 104533321441. The reversal of 104533321440 is 44123335401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104533321398 and 104533321407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104533321441) 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, 6001384 + ... + 6018776.

It is an arithmetic number, because the mean of its divisors is an integer number (1808106300).

Almost surely, 2104533321440 is an apocalyptic number.

104533321440 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 104533321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173578204800).

104533321440 is an abundant number, since it is smaller than the sum of its proper divisors (242623088160).

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

104533321440 is a wasteful number, since it uses less digits than its factorization.

104533321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18089 (or 18081 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 104533321440 its reverse (44123335401), we get a palindrome (148656656841).

The spelling of 104533321440 in words is "one hundred four billion, five hundred thirty-three million, three hundred twenty-one thousand, four hundred forty".