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114315533199 = 3779777643
BaseRepresentation
bin110101001110110111…
…1001001101110001111
3101221001211211210000000
41222131233021232033
53333104234030244
6124303230335343
711154562666620
oct1523557115617
9357054753000
10114315533199
114453215807a
121a1a405a553
13aa1a5c764a
1457663d1a47
152e90de9169
hex1a9dbc9b8f

114315533199 has 64 divisors (see below), whose sum is σ = 196165831680. Its totient is φ = 65247762816.

The previous prime is 114315533197. The next prime is 114315533221. The reversal of 114315533199 is 991335513411.

114315533199 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 553 + 3 + 1 + 99 = 666.

It is not a de Polignac number, because 114315533199 - 21 = 114315533197 is a prime.

It is a super-2 number, since 2×1143155331992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114315533197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14953072 + ... + 14960714.

It is an arithmetic number, because the mean of its divisors is an integer number (3065091120).

Almost surely, 2114315533199 is an apocalyptic number.

114315533199 is a deficient number, since it is larger than the sum of its proper divisors (81850298481).

114315533199 is an frugal number, since it uses more digits than its factorization.

114315533199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648 (or 8630 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The spelling of 114315533199 in words is "one hundred fourteen billion, three hundred fifteen million, five hundred thirty-three thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 977 1701 2187 2931 5103 6839 7643 8793 15309 20517 22929 26379 53501 61551 68787 79137 160503 184653 206361 237411 481509 553959 619083 712233 1444527 1661877 1857249 2136699 4333581 4985631 5571747 7467211 13000743 14956893 16715241 22401633 39002229 52270477 67204899 117006687 156811431 201614697 470434293 604844091 1411302879 1814532273 4233908637 5443596819 12701725911 16330790457 38105177733 114315533199