Search a number
-
+
140615470800 = 243352716311411
BaseRepresentation
bin1000001011110101010…
…1011100111011010000
3111102221201211000222000
42002331111130323100
54300440030031200
6144333045314000
713105403531550
oct2027525347320
9442851730860
10140615470800
11546a88494a2
1223303a05900
131034c2465bc
146b3d281160
1539cec98300
hex20bd55ced0

140615470800 has 480 divisors, whose sum is σ = 575544591360. Its totient is φ = 31940697600.

The previous prime is 140615470781. The next prime is 140615470867. The reversal of 140615470800 is 8074516041.

It is a happy number.

140615470800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12317095 + ... + 12328505.

It is an arithmetic number, because the mean of its divisors is an integer number (1199051232).

Almost surely, 2140615470800 is an apocalyptic number.

140615470800 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 140615470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287772295680).

140615470800 is an abundant number, since it is smaller than the sum of its proper divisors (434929120560).

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

140615470800 is a wasteful number, since it uses less digits than its factorization.

140615470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 140615470800 its reverse (8074516041), we get a palindrome (148689986841).

The spelling of 140615470800 in words is "one hundred forty billion, six hundred fifteen million, four hundred seventy thousand, eight hundred".