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114830941840 = 2454333314981
BaseRepresentation
bin110101011110001110…
…1010001111010010000
3101222101202200020201221
41222330131101322100
53340133210114330
6124430321334424
711203421620666
oct1527435217220
9358352606657
10114830941840
114477708922a
121a308797414
13aaa0316084
1457b4a38c36
152ec12a7b7a
hex1abc751e90

114830941840 has 40 divisors (see below), whose sum is σ = 267598606968. Its totient is φ = 45826283520.

The previous prime is 114830941831. The next prime is 114830941889. The reversal of 114830941840 is 48149038411.

It can be written as a sum of positive squares in 4 ways, for example, as 6039154944 + 108791786896 = 77712^2 + 329836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1148309418402 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1622851 + ... + 1692130.

Almost surely, 2114830941840 is an apocalyptic number.

114830941840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114830941840 is an abundant number, since it is smaller than the sum of its proper divisors (152767665128).

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

114830941840 is a wasteful number, since it uses less digits than its factorization.

114830941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315427 (or 3315421 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 114830941840 in words is "one hundred fourteen billion, eight hundred thirty million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 433 866 1732 2165 3464 4330 6928 8660 17320 34640 3314981 6629962 13259924 16574905 26519848 33149810 53039696 66299620 132599240 265198480 1435386773 2870773546 5741547092 7176933865 11483094184 14353867730 22966188368 28707735460 57415470920 114830941840