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171243961343 = 71331409314831
BaseRepresentation
bin1001111101111011101…
…1110111101111111111
3121101000021201120021122
42133132323313233333
510301201423230333
6210400212221155
715241404440420
oct2373673675777
9541007646248
10171243961343
116669582a7a4
122923130a7bb
13131c08a11a0
148406d6b647
1546c3b6b798
hex27deef7bff

171243961343 has 32 divisors (see below), whose sum is σ = 217628393472. Its totient is φ = 131078217600.

The previous prime is 171243961289. The next prime is 171243961351. The reversal of 171243961343 is 343169342171.

It is not a de Polignac number, because 171243961343 - 220 = 171242912767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 171243961294 and 171243961303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171243961373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11538938 + ... + 11553768.

It is an arithmetic number, because the mean of its divisors is an integer number (6800887296).

Almost surely, 2171243961343 is an apocalyptic number.

171243961343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

171243961343 is a deficient number, since it is larger than the sum of its proper divisors (46384432129).

171243961343 is a wasteful number, since it uses less digits than its factorization.

171243961343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975.

The product of its digits is 326592, while the sum is 44.

The spelling of 171243961343 in words is "one hundred seventy-one billion, two hundred forty-three million, nine hundred sixty-one thousand, three hundred forty-three".

Divisors: 1 7 13 31 91 217 403 2821 4093 14831 28651 53209 103817 126883 192803 372463 459761 888181 1349621 1649479 3218327 5976893 11546353 41838251 60703283 424922981 789142679 1881801773 5523998753 13172612411 24463423049 171243961343