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114019488 = 2535113143
BaseRepresentation
bin1101100101111…
…00110010100000
321221112210100000
412302330302200
5213142110423
615151500000
72553102222
oct662746240
9257483300
10114019488
11593a7590
1232227600
131a811a6b
1411200412
15a023843
hex6cbcca0

114019488 has 288 divisors, whose sum is σ = 387459072. Its totient is φ = 32659200.

The previous prime is 114019481. The next prime is 114019489. The reversal of 114019488 is 884910411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114019481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651595 + ... + 2651637.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 2114019488 is an apocalyptic number.

114019488 is a gapful number since it is divisible by the number (18) 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 114019488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

114019488 is an abundant number, since it is smaller than the sum of its proper divisors (273439584).

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

114019488 is a wasteful number, since it uses less digits than its factorization.

114019488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 114019488 is about 10677.9908222474. The cubic root of 114019488 is about 484.9083867063.

Adding to 114019488 its reverse (884910411), we get a palindrome (998929899).

The spelling of 114019488 in words is "one hundred fourteen million, nineteen thousand, four hundred eighty-eight".