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114882578384 = 2472149983449
BaseRepresentation
bin110101011111110001…
…0010000011111010000
3101222112100211122202112
41222333202100133100
53340234420002014
6124435404204452
711204616542600
oct1527742203720
9358470748675
10114882578384
11447a3247562
121a321b39728
13aaaac25342
1457bb83ac00
152ec5aa773e
hex1abf8907d0

114882578384 has 60 divisors (see below), whose sum is σ = 260663422500. Its totient is φ = 48904902144.

The previous prime is 114882578341. The next prime is 114882578501. The reversal of 114882578384 is 483875288411.

It can be written as a sum of positive squares in 2 ways, for example, as 47089000000 + 67793578384 = 217000^2 + 260372^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374909 + ... + 608540.

It is an arithmetic number, because the mean of its divisors is an integer number (4344390375).

Almost surely, 2114882578384 is an apocalyptic number.

114882578384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114882578384 is an abundant number, since it is smaller than the sum of its proper divisors (145780844116).

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

114882578384 is a wasteful number, since it uses less digits than its factorization.

114882578384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983620 (or 983607 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 59.

The spelling of 114882578384 in words is "one hundred fourteen billion, eight hundred eighty-two million, five hundred seventy-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 149 196 298 392 596 784 1043 1192 2086 2384 4172 7301 8344 14602 16688 29204 58408 116816 983449 1966898 3933796 6884143 7867592 13768286 15735184 27536572 48189001 55073144 96378002 110146288 146533901 192756004 293067802 385512008 586135604 771024016 1025737307 1172271208 2051474614 2344542416 4102949228 7180161149 8205898456 14360322298 16411796912 28720644596 57441289192 114882578384