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114124143312 = 24321341759069
BaseRepresentation
bin110101001001001010…
…1000011101011010000
3101220120111201011102200
41222102111003223100
53332211240041222
6124232232243200
711150050132614
oct1522225035320
9356514634380
10114124143312
1144444116013
121a14bb40500
13a9b9a663aa
145748c11344
152e7e1e0eac
hex1a92543ad0

114124143312 has 60 divisors (see below), whose sum is σ = 319418307780. Its totient is φ = 38037901824.

The previous prime is 114124143271. The next prime is 114124143337. The reversal of 114124143312 is 213341421411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65196472896 + 48927670416 = 255336^2 + 221196^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1902514 + ... + 1961582.

It is an arithmetic number, because the mean of its divisors is an integer number (5323638463).

Almost surely, 2114124143312 is an apocalyptic number.

114124143312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114124143312 is an abundant number, since it is smaller than the sum of its proper divisors (205294164468).

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

114124143312 is a wasteful number, since it uses less digits than its factorization.

114124143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72500 (or 72491 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 114124143312 its reverse (213341421411), we get a palindrome (327465564723).

The spelling of 114124143312 in words is "one hundred fourteen billion, one hundred twenty-four million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13417 26834 40251 53668 59069 80502 107336 118138 120753 161004 177207 214672 236276 241506 322008 354414 472552 483012 531621 644016 708828 945104 966024 1063242 1417656 1932048 2126484 2835312 4252968 8505936 792528773 1585057546 2377586319 3170115092 4755172638 6340230184 7132758957 9510345276 12680460368 14265517914 19020690552 28531035828 38041381104 57062071656 114124143312