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114882839640 = 23325617966221
BaseRepresentation
bin110101011111110001…
…1010000010001011000
3101222112101022221010200
41222333203100101120
53340240001332030
6124435413542200
711204622011352
oct1527743202130
9358471287120
10114882839640
11447a3405878
121a322044960
13aaaacb722a
1457bb8a80d2
152ec5b09d60
hex1abf8d0458

114882839640 has 192 divisors, whose sum is σ = 384299510400. Its totient is φ = 29751321600.

The previous prime is 114882839629. The next prime is 114882839651. The reversal of 114882839640 is 46938288411.

It is a happy number.

114882839640 is a `hidden beast` number, since 11 + 488 + 28 + 3 + 96 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (114882839629) and next prime (114882839651).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1701730 + ... + 1767950.

It is an arithmetic number, because the mean of its divisors is an integer number (2001559950).

Almost surely, 2114882839640 is an apocalyptic number.

114882839640 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 114882839640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192149755200).

114882839640 is an abundant number, since it is smaller than the sum of its proper divisors (269416670760).

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

114882839640 is a wasteful number, since it uses less digits than its factorization.

114882839640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66378 (or 66371 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 114882839640 in words is "one hundred fourteen billion, eight hundred eighty-two million, eight hundred thirty-nine thousand, six hundred forty".