Search a number
-
+
114344332000 = 2553294632129
BaseRepresentation
bin110101001111101110…
…1000000101011100000
3101221010212000220112021
41222133131000223200
53333134122111000
6124310135511224
711155362533263
oct1523735005340
9357125026467
10114344332000
1144547438038
121a1b1828514
13aa2356b962
14576a16acda
152e936d711a
hex1a9f740ae0

114344332000 has 192 divisors, whose sum is σ = 291396268800. Its totient is φ = 44044492800.

The previous prime is 114344331991. The next prime is 114344332073. The reversal of 114344332000 is 233443411.

114344332000 is digitally balanced in base 3, 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53706936 + ... + 53709064.

It is an arithmetic number, because the mean of its divisors is an integer number (1517688900).

Almost surely, 2114344332000 is an apocalyptic number.

114344332000 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 114344332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145698134400).

114344332000 is an abundant number, since it is smaller than the sum of its proper divisors (177051936800).

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

114344332000 is a wasteful number, since it uses less digits than its factorization.

114344332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 114344332000 its reverse (233443411), we get a palindrome (114577775411).

It can be divided in two parts, 11434 and 4332000, that added together give a palindrome (4343434).

The spelling of 114344332000 in words is "one hundred fourteen billion, three hundred forty-four million, three hundred thirty-two thousand".