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114666454032 = 2431321931103233
BaseRepresentation
bin110101011001010100…
…1110011110000010000
3101221222022011101212220
41222302221303300100
53334314103012112
6124402124021040
711166353530464
oct1526251636020
9357868141786
10114666454032
11446a2251099
121a281691780
13aa75213a00
14579ac5c4a4
152eb1b1598c
hex1ab2a73c10

114666454032 has 480 divisors, whose sum is σ = 353428807680. Its totient is φ = 31895285760.

The previous prime is 114666454031. The next prime is 114666454037. The reversal of 114666454032 is 230454666411.

It is not an unprimeable number, because it can be changed into a prime (114666454031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 492130588 + ... + 492130820.

It is an arithmetic number, because the mean of its divisors is an integer number (736310016).

Almost surely, 2114666454032 is an apocalyptic number.

114666454032 is a gapful number since it is divisible by the number (12) 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 114666454032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176714403840).

114666454032 is an abundant number, since it is smaller than the sum of its proper divisors (238762353648).

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

114666454032 is a wasteful number, since it uses less digits than its factorization.

114666454032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 114666454032 in words is "one hundred fourteen billion, six hundred sixty-six million, four hundred fifty-four thousand, thirty-two".