Search a number
-
+
15402245040 = 24335713127617
BaseRepresentation
bin11100101100000101…
…11001101110110000
31110202102001010011000
432112002321232300
5223020433320130
611024203322000
71053452631330
oct162602715660
943672033130
1015402245040
116594190736
122b9a220300
1315b5c95480
14a618110c0
156022bd260
hex3960b9bb0

15402245040 has 640 divisors, whose sum is σ = 65915781120. Its totient is φ = 3218890752.

The previous prime is 15402245017. The next prime is 15402245069. The reversal of 15402245040 is 4054220451.

15402245040 is a `hidden beast` number, since 15 + 402 + 245 + 0 + 4 + 0 = 666.

15402245040 is digitally balanced in base 2, because in such base 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 15402244995 and 15402245013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24962812 + ... + 24963428.

It is an arithmetic number, because the mean of its divisors is an integer number (102993408).

Almost surely, 215402245040 is an apocalyptic number.

15402245040 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 15402245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32957890560).

15402245040 is an abundant number, since it is smaller than the sum of its proper divisors (50513536080).

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

15402245040 is a wasteful number, since it uses less digits than its factorization.

15402245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 15402245040 its reverse (4054220451), we get a palindrome (19456465491).

The spelling of 15402245040 in words is "fifteen billion, four hundred two million, two hundred forty-five thousand, forty".