Search a number
-
+
140213140302300 = 2235213415371923011
BaseRepresentation
bin11111111000010111101010…
…011010111010100111011100
3200101110020121211022202010120
4133320113222122322213130
5121334223002404133200
61214113005531234540
741351031220000242
oct3770275232724734
9611406554282116
10140213140302300
114074907139600a
12138862b4ba8a50
1360310721b6380
14268a4d061a792
1511323eb3789a0
hex7f85ea6ba9dc

140213140302300 has 576 divisors, whose sum is σ = 456643912919040. Its totient is φ = 32989492224000.

The previous prime is 140213140302253. The next prime is 140213140302317. The reversal of 140213140302300 is 3203041312041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6093297795 + ... + 6093320805.

It is an arithmetic number, because the mean of its divisors is an integer number (792784571040).

Almost surely, 2140213140302300 is an apocalyptic number.

140213140302300 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 140213140302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228321956459520).

140213140302300 is an abundant number, since it is smaller than the sum of its proper divisors (316430772616740).

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

140213140302300 is a wasteful number, since it uses less digits than its factorization.

140213140302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23854 (or 23847 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 140213140302300 its reverse (3203041312041), we get a palindrome (143416181614341).

The spelling of 140213140302300 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred forty million, three hundred two thousand, three hundred".