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98444214000 = 2433531153259
BaseRepresentation
bin101101110101110111…
…0110111111011110000
3100102002202011020002000
41123223232313323300
53103103204322000
6113120305054000
710053353004156
oct1335356677360
9312082136060
1098444214000
1138828213050
12170b4927300
13938b3b7602
144a9c5993d6
152862871000
hex16ebbb7ef0

98444214000 has 960 divisors, whose sum is σ = 398749478400. Its totient is φ = 23018112000.

The previous prime is 98444213969. The next prime is 98444214041. The reversal of 98444214000 is 41244489.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1668545971 + ... + 1668546029.

It is an arithmetic number, because the mean of its divisors is an integer number (415364040).

Almost surely, 298444214000 is an apocalyptic number.

98444214000 is a gapful number since it is divisible by the number (90) 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 98444214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199374739200).

98444214000 is an abundant number, since it is smaller than the sum of its proper divisors (300305264400).

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

98444214000 is a wasteful number, since it uses less digits than its factorization.

98444214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 98444214000 its reverse (41244489), we get a palindrome (98485458489).

The spelling of 98444214000 in words is "ninety-eight billion, four hundred forty-four million, two hundred fourteen thousand".