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114124254340 = 22519366144729
BaseRepresentation
bin110101001001001010…
…1011110110010000100
3101220120111220210201211
41222102111132302010
53332211302114330
6124232234501204
711150051104405
oct1522225366204
9356514823654
10114124254340
1144444191478
121a14bb94804
13a9b9aa4aa5
145748c3d9ac
152e7e213d2a
hex1a9255ec84

114124254340 has 48 divisors (see below), whose sum is σ = 241272546480. Its totient is φ = 45343457280.

The previous prime is 114124254337. The next prime is 114124254341. The reversal of 114124254340 is 43452421411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1029254724 + 113094999616 = 32082^2 + 336296^2 .

It is a super-2 number, since 2×1141242543402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114124254341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529096 + ... + 2573824.

It is an arithmetic number, because the mean of its divisors is an integer number (5026511385).

Almost surely, 2114124254340 is an apocalyptic number.

114124254340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114124254340 is an abundant number, since it is smaller than the sum of its proper divisors (127148292140).

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

114124254340 is a wasteful number, since it uses less digits than its factorization.

114124254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45592 (or 45590 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 114124254340 its reverse (43452421411), we get a palindrome (157576675751).

The spelling of 114124254340 in words is "one hundred fourteen billion, one hundred twenty-four million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 193 386 661 772 965 1322 1930 2644 3305 3860 6610 13220 44729 89458 127573 178916 223645 255146 447290 510292 637865 894580 1275730 2551460 8632697 17265394 29565869 34530788 43163485 59131738 86326970 118263476 147829345 172653940 295658690 591317380 5706212717 11412425434 22824850868 28531063585 57062127170 114124254340