Search a number
-
+
17230111940889 = 34311214832
BaseRepresentation
bin1111101010111011001010…
…1100111010000100011001
32021000011221010102000010000
43322232302230322010121
54224244232124102024
6100351223144043213
73425556144004611
oct372566254720431
967004833360100
1017230111940889
115543282003421
121b23389763509
1397ca3c3cca03
14437d286ada41
151ed2dc452cc9
hexfabb2b3a119

17230111940889 has 45 divisors (see below), whose sum is σ = 25839260387589. Its totient is φ = 11442085728840.

The previous prime is 17230111940837. The next prime is 17230111940897. The reversal of 17230111940889 is 98804911103271.

The square root of 17230111940889 is 4150917.

It is a perfect power (a square), and thus also a powerful number.

17230111940889 is a `hidden beast` number, since 1 + 72 + 301 + 1 + 194 + 0 + 8 + 89 = 666.

It is not a de Polignac number, because 17230111940889 - 27 = 17230111940761 is a prime.

It is a super-3 number, since 3×172301119408893 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (17230111940819) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11618415942 + ... + 11618417424.

Almost surely, 217230111940889 is an apocalyptic number.

17230111940889 is the 4150917-th square number.

17230111940889 is the 2075459-th centered octagonal number.

It is an amenable number.

17230111940889 is a deficient number, since it is larger than the sum of its proper divisors (8609148446700).

17230111940889 is an frugal number, since it uses more digits than its factorization.

17230111940889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 17230111940889 in words is "seventeen trillion, two hundred thirty billion, one hundred eleven million, nine hundred forty thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 311 933 1483 2799 4449 8397 13347 25191 40041 96721 120123 290163 461213 870489 1383639 2199289 2611467 4150917 6597867 7834401 12452751 19793601 37358253 59380803 143437243 178142409 430311729 683978879 1290935187 2051936637 3872805561 6155809911 11618416683 18467429733 55402289199 212717431369 638152294107 1914456882321 5743370646963 17230111940889