Search a number
-
+
108949841000 = 235371113313511
BaseRepresentation
bin110010101110111101…
…0101010010001101000
3101102012220100101001022
41211131322222101220
53241112124403000
6122014553112012
710604610240260
oct1453572522150
9342186311038
10108949841000
1142229388110
12191470b8608
13a373a7a150
1453b793a7a0
152c79d09585
hex195deaa468

108949841000 has 512 divisors, whose sum is σ = 353443184640. Its totient is φ = 30326400000.

The previous prime is 108949840949. The next prime is 108949841017. The reversal of 108949841000 is 148949801.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 31029245 + ... + 31032755.

It is an arithmetic number, because the mean of its divisors is an integer number (690318720).

Almost surely, 2108949841000 is an apocalyptic number.

108949841000 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 108949841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176721592320).

108949841000 is an abundant number, since it is smaller than the sum of its proper divisors (244493343640).

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

108949841000 is a wasteful number, since it uses less digits than its factorization.

108949841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

It can be divided in two parts, 108949 and 841000, that added together give a palindrome (949949).

The spelling of 108949841000 in words is "one hundred eight billion, nine hundred forty-nine million, eight hundred forty-one thousand".