Search a number
-
+
141112302324224 = 29721129154911383
BaseRepresentation
bin100000000101011101000100…
…101001110100101000000000
3200111122012111222022010112212
4200011131010221310220000
5121443440443343333344
61220042032522041252
741503012254040100
oct4005350451645000
9614565458263485
10141112302324224
1140a65433965540
12139b0614649228
136097aaa18315a
1426bbc2c5cd200
15114a9c502a79e
hex805744a74a00

141112302324224 has 480 divisors, whose sum is σ = 370407332592000. Its totient is φ = 53044068188160.

The previous prime is 141112302324209. The next prime is 141112302324233. The reversal of 141112302324224 is 422423203211141.

It is a super-2 number, since 2×1411123023242242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12396752837 + ... + 12396764219.

It is an arithmetic number, because the mean of its divisors is an integer number (771681942900).

Almost surely, 2141112302324224 is an apocalyptic number.

141112302324224 is a gapful number since it is divisible by the number (14) 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 141112302324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185203666296000).

141112302324224 is an abundant number, since it is smaller than the sum of its proper divisors (229295030267776).

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

141112302324224 is a wasteful number, since it uses less digits than its factorization.

141112302324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13004 (or 12981 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 141112302324224 its reverse (422423203211141), we get a palindrome (563535505535365).

The spelling of 141112302324224 in words is "one hundred forty-one trillion, one hundred twelve billion, three hundred two million, three hundred twenty-four thousand, two hundred twenty-four".