Search a number
-
+
942376919121 = 3211223212792
BaseRepresentation
bin11011011011010100000…
…10101010000001010001
310100002102212102121210100
431231222002222001101
5110414441442402441
62000531051523013
7125040656434461
oct15555202520121
93302385377710
10942376919121
11333729226400
12132780159469
136ab34105791
143387b525ba1
15197a7a2acb6
hexdb6a0aa051

942376919121 has 81 divisors (see below), whose sum is σ = 1565311961577. Its totient is φ = 545878325520.

The previous prime is 942376919093. The next prime is 942376919129. The reversal of 942376919121 is 121919673249.

The square root of 942376919121 is 970761.

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

942376919121 is a `hidden beast` number, since 9 + 423 + 7 + 6 + 9 + 191 + 21 = 666.

It is not a de Polignac number, because 942376919121 - 217 = 942376788049 is a prime.

It is a super-3 number, since 3×9423769191213 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (942376919129) 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 80 ways as a sum of consecutive naturals, for example, 736806960 + ... + 736808238.

Almost surely, 2942376919121 is an apocalyptic number.

942376919121 is the 970761-st square number.

942376919121 is the 485381-st centered octagonal number.

It is an amenable number.

942376919121 is a deficient number, since it is larger than the sum of its proper divisors (622935042456).

942376919121 is a wasteful number, since it uses less digits than its factorization.

942376919121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 1316 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 942376919121 in words is "nine hundred forty-two billion, three hundred seventy-six million, nine hundred nineteen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1279 1587 2277 2783 3837 4761 5819 8349 11511 14069 17457 25047 29417 42207 52371 64009 88251 126621 154759 192027 264753 323587 464277 576081 676591 970761 1392831 1635841 2029773 2912283 3559457 4907523 6089319 7442501 10678371 14722569 17994251 22327503 32035113 37624343 53982753 66982509 81867511 112873029 161948259 197936761 245602533 338619087 413867773 593810283 736807599 865359889 1241603319 1781430849 2596079667 3724809957 4552545503 7788239001 9518958779 13657636509 28556876337 40972909527 85670629011 104708546569 314125639707 942376919121