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114923459280 = 243572193713901
BaseRepresentation
bin110101100000111111…
…0001101001011010000
3101222122012202121210210
41223001332031023100
53340330401144110
6124443424324120
711205624200100
oct1530176151320
9358565677723
10114923459280
1144814329a23
121a333773640
13aab6539b16
1457c303d200
152ec9480520
hex1ac1f8d2d0

114923459280 has 480 divisors, whose sum is σ = 448062572160. Its totient is φ = 24211353600.

The previous prime is 114923459257. The next prime is 114923459281. The reversal of 114923459280 is 82954329411.

114923459280 = T456 + T457 + ... + T8834.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114923459281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8260330 + ... + 8274230.

It is an arithmetic number, because the mean of its divisors is an integer number (933463692).

Almost surely, 2114923459280 is an apocalyptic number.

114923459280 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 114923459280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224031286080).

114923459280 is an abundant number, since it is smaller than the sum of its proper divisors (333139112880).

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

114923459280 is a wasteful number, since it uses less digits than its factorization.

114923459280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13987 (or 13974 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 114923459280 in words is "one hundred fourteen billion, nine hundred twenty-three million, four hundred fifty-nine thousand, two hundred eighty".