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340024342424112 = 24341747150180001
BaseRepresentation
bin100110101010000000001011…
…0001001010010101000110000
31122120221000021001102212110000
41031110000112021102220300
5324031424323130032422
63203101005415110000
7131422643116656243
oct11524002611225060
91576830231385400
10340024342424112
1199384571978075
1232176bb4372300
1311796208bcb718
145dd73a1c0525a
152949c3065acac
hex1354016252a30

340024342424112 has 100 divisors (see below), whose sum is σ = 984692427753496. Its totient is φ = 113276568960000.

The previous prime is 340024342424111. The next prime is 340024342424141. The reversal of 340024342424112 is 211424243420043.

340024342424112 is a `hidden beast` number, since 3 + 40 + 0 + 2 + 43 + 42 + 424 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (340024342424111) 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 19 ways as a sum of consecutive naturals, for example, 72825889 + ... + 77354112.

Almost surely, 2340024342424112 is an apocalyptic number.

It is an amenable number.

340024342424112 is an abundant number, since it is smaller than the sum of its proper divisors (644668085329384).

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

340024342424112 is a wasteful number, since it uses less digits than its factorization.

340024342424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150181768 (or 150181753 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 340024342424112 its reverse (211424243420043), we get a palindrome (551448585844155).

The spelling of 340024342424112 in words is "three hundred forty trillion, twenty-four billion, three hundred forty-two million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1747 3494 5241 6988 10482 13976 15723 20964 27952 31446 41928 47169 62892 83856 94338 125784 141507 188676 251568 283014 377352 566028 754704 1132056 2264112 150180001 300360002 450540003 600720004 901080006 1201440008 1351620009 1802160012 2402880016 2703240018 3604320024 4054860027 5406480036 7208640048 8109720054 10812960072 12164580081 16219440108 21625920144 24329160162 32438880216 48658320324 64877760432 97316640648 194633281296 262364461747 524728923494 787093385241 1049457846988 1574186770482 2098915693976 2361280155723 3148373540964 4197831387952 4722560311446 6296747081928 7083840467169 9445120622892 12593494163856 14167680934338 18890241245784 21251521401507 28335361868676 37780482491568 42503042803014 56670723737352 85006085606028 113341447474704 170012171212056 340024342424112