Search a number
-
+
114455512710 = 2325721110322907
BaseRepresentation
bin110101010011000010…
…1001000011010000110
3101221102121020110210100
41222212011020122012
53333401102401320
6124325150504530
711161212543300
oct1524605103206
9357377213710
10114455512710
11445a4175820
121a222b05146
13aa405c8566
14577ac2c970
152e9d349790
hex1aa6148686

114455512710 has 288 divisors, whose sum is σ = 381322536192. Its totient is φ = 23551032960.

The previous prime is 114455512709. The next prime is 114455512727. The reversal of 114455512710 is 17215554411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4985077 + ... + 5007983.

It is an arithmetic number, because the mean of its divisors is an integer number (1324036584).

Almost surely, 2114455512710 is an apocalyptic number.

114455512710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114455512710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190661268096).

114455512710 is an abundant number, since it is smaller than the sum of its proper divisors (266867023482).

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

114455512710 is a wasteful number, since it uses less digits than its factorization.

114455512710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23048 (or 23038 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 114455512710 in words is "one hundred fourteen billion, four hundred fifty-five million, five hundred twelve thousand, seven hundred ten".