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114431344320 = 26352328318313
BaseRepresentation
bin110101010010010100…
…0111011111011000000
3101221100220202120222210
41222210220323323000
53333323411004240
6124322524502120
711160500243436
oct1524450737300
9357326676883
10114431344320
1144591568747
121a2169aa940
13aa385b5a37
14577793ad56
152e9b173780
hex1aa4a3bec0

114431344320 has 224 divisors, whose sum is σ = 380476426752. Its totient is φ = 29083557888.

The previous prime is 114431344303. The next prime is 114431344331. The reversal of 114431344320 is 23443134411.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6239484 + ... + 6257796.

Almost surely, 2114431344320 is an apocalyptic number.

114431344320 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 114431344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190238213376).

114431344320 is an abundant number, since it is smaller than the sum of its proper divisors (266045082432).

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

114431344320 is a wasteful number, since it uses less digits than its factorization.

114431344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 114431344320 its reverse (23443134411), we get a palindrome (137874478731).

The spelling of 114431344320 in words is "one hundred fourteen billion, four hundred thirty-one million, three hundred forty-four thousand, three hundred twenty".