Search a number
-
+
114314434311012 = 223134571603467911
BaseRepresentation
bin11001111111011111100111…
…001111111111001101100100
3112222202100112110212111001220
4121333133213033333031210
5104440411430140423022
61043043154240220340
733035642151210615
oct3177374717771544
9488670473774056
10114314434311012
113347352aaa7611
12109a2aa090a6b0
134ba2a604a0210
142032bc3431c0c
15d338aa19e85c
hex67f7e73ff364

114314434311012 has 48 divisors (see below), whose sum is σ = 287880215048832. Its totient is φ = 35096705614080.

The previous prime is 114314434310983. The next prime is 114314434311017. The reversal of 114314434311012 is 210113434413411.

It is a super-2 number, since 2×1143144343110122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114314434311017) 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, 801662664 + ... + 801805247.

It is an arithmetic number, because the mean of its divisors is an integer number (5997504480184).

Almost surely, 2114314434311012 is an apocalyptic number.

114314434311012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114314434311012 is an abundant number, since it is smaller than the sum of its proper divisors (173565780737820).

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

114314434311012 is a wasteful number, since it uses less digits than its factorization.

114314434311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603468388 (or 1603468386 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 114314434311012 its reverse (210113434413411), we get a palindrome (324427868724423).

The spelling of 114314434311012 in words is "one hundred fourteen trillion, three hundred fourteen billion, four hundred thirty-four million, three hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 457 914 1371 1828 2742 5484 5941 11882 17823 23764 35646 71292 1603467911 3206935822 4810403733 6413871644 9620807466 19241614932 20845082843 41690165686 62535248529 83380331372 125070497058 250140994116 732784835327 1465569670654 2198354505981 2931139341308 4396709011962 8793418023924 9526202859251 19052405718502 28578608577753 38104811437004 57157217155506 114314434311012