Search a number
-
+
17141355314171 = 1141431914627717
BaseRepresentation
bin1111100101110000100001…
…1001001111101111111011
32020200200211112011012110222
43321130020121033233323
54221320443430023141
6100242344021330255
73416264523064214
oct371341031175773
966620745135428
1017141355314171
115509676223060
121b0a13926698b
13974566079c8a
1443390899240b
151ead4532d14b
hexf970864fbfb

17141355314171 has 32 divisors (see below), whose sum is σ = 19703860678656. Its totient is φ = 14771669472000.

The previous prime is 17141355314137. The next prime is 17141355314191.

17141355314171 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17141355314171 is a prime.

It is a super-2 number, since 2×171413553141712 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17141355314191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390205 + ... + 6017921.

It is an arithmetic number, because the mean of its divisors is an integer number (615745646208).

Almost surely, 217141355314171 is an apocalyptic number.

17141355314171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17141355314171 is a deficient number, since it is larger than the sum of its proper divisors (2562505364485).

17141355314171 is a wasteful number, since it uses less digits than its factorization.

17141355314171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628003.

The product of its digits is 176400, while the sum is 44.

The spelling of 17141355314171 in words is "seventeen trillion, one hundred forty-one billion, three hundred fifty-five million, three hundred fourteen thousand, one hundred seventy-one".

Divisors: 1 11 41 43 191 451 473 1763 2101 7831 8213 19393 86141 90343 336733 3704063 4627717 50904887 189736397 198991831 883893947 2087100367 2188910141 8158665071 9722833417 36239651827 38007439721 89745315781 398636170097 418081836931 1558305028561 17141355314171