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114873999360 = 2133517127433
BaseRepresentation
bin110101011111100000…
…1100010000000000000
3101222111202200210112220
41222333001202000000
53340230220434420
6124434500251040
711204453612061
oct1527701420000
9358452623486
10114873999360
1144799417a5a
121a31b0a0a80
13aaa92104b3
1457ba646568
152ec4e60840
hex1abf062000

114873999360 has 448 divisors, whose sum is σ = 393166835712. Its totient is φ = 28538044416.

The previous prime is 114873999349. The next prime is 114873999367. The reversal of 114873999360 is 63999378411.

It is a super-2 number, since 2×1148739993602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 114873999294 and 114873999303.

It is not an unprimeable number, because it can be changed into a prime (114873999367) 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 31 ways as a sum of consecutive naturals, for example, 265297704 + ... + 265298136.

It is an arithmetic number, because the mean of its divisors is an integer number (877604544).

Almost surely, 2114873999360 is an apocalyptic number.

114873999360 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 114873999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196583417856).

114873999360 is an abundant number, since it is smaller than the sum of its proper divisors (278292836352).

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

114873999360 is a wasteful number, since it uses less digits than its factorization.

114873999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 114873999360 in words is "one hundred fourteen billion, eight hundred seventy-three million, nine hundred ninety-nine thousand, three hundred sixty".