Search a number
-
+
714465402240 = 27353167179161
BaseRepresentation
bin10100110010110010111…
…01001101110110000000
32112022011022200222011110
422121121131031312000
543201211120332430
61304115413043320
7102422055500622
oct12313135156600
92468138628143
10714465402240
11256004103487
12b6575026540
13524b2309255
142681a528c12
15138b8ebc7b0
hexa65974dd80

714465402240 has 256 divisors, whose sum is σ = 2385921853440. Its totient is φ = 181625241600.

The previous prime is 714465402223. The next prime is 714465402241. The reversal of 714465402240 is 42204564417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714465402241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3898260 + ... + 4077420.

It is an arithmetic number, because the mean of its divisors is an integer number (9320007240).

Almost surely, 2714465402240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714465402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192960926720).

714465402240 is an abundant number, since it is smaller than the sum of its proper divisors (1671456451200).

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

714465402240 is a wasteful number, since it uses less digits than its factorization.

714465402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179281 (or 179269 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 714465402240 its reverse (42204564417), we get a palindrome (756669966657).

The spelling of 714465402240 in words is "seven hundred fourteen billion, four hundred sixty-five million, four hundred two thousand, two hundred forty".