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114140204410024 = 23131738219771863
BaseRepresentation
bin11001111100111101010110…
…010101101010010010101000
3112222010200211002120110122001
4121330331112111222102220
5104430033114312110044
61042431141440540344
733020233445404612
oct3174752625522250
9488120732513561
10114140204410024
1133406652840201
12109751776216b4
134b8c4b50cb550
1420285b5abbdb2
15d2e0ae31a2d4
hex67cf5656a4a8

114140204410024 has 64 divisors (see below), whose sum is σ = 231836144803200. Its totient is φ = 52369144778496.

The previous prime is 114140204410019. The next prime is 114140204410027. The reversal of 114140204410024 is 420014402041411.

114140204410024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114140204409974 and 114140204410001.

It is not an unprimeable number, because it can be changed into a prime (114140204410027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147490317 + ... + 148262179.

It is an arithmetic number, because the mean of its divisors is an integer number (3622439762550).

Almost surely, 2114140204410024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114140204410024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115918072401600).

114140204410024 is an abundant number, since it is smaller than the sum of its proper divisors (117695940393176).

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

114140204410024 is a wasteful number, since it uses less digits than its factorization.

114140204410024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780274 (or 780270 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 114140204410024 its reverse (420014402041411), we get a palindrome (534154606451435).

The spelling of 114140204410024 in words is "one hundred fourteen trillion, one hundred forty billion, two hundred four million, four hundred ten thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 1384 2249 4498 8219 8996 16438 17992 32876 65752 106847 213694 427388 771863 854776 1421887 1543726 2843774 3087452 5687548 6174904 10034219 11375096 18484531 20068438 36969062 40136876 73938124 80273752 133532299 147876248 267064598 534129196 1068258392 1735919887 3471839774 6343941997 6943679548 12687883994 13887359096 25375767988 50751535976 82471245961 164942491922 329884983844 659769967688 1097501965481 2195003930962 4390007861924 8780015723848 14267525551253 28535051102506 57070102205012 114140204410024