Search a number
-
+
121419493209 = 347255312
BaseRepresentation
bin111000100010100101…
…0100110111101011001
3102121101221012100010000
41301011022212331121
53442131342240314
6131440201043213
711525613443400
oct1610512467531
9377357170100
10121419493209
1147548158403
121b647186509
13b5b02cc691
145c3ba90637
1532598eb209
hex1c452a6f59

121419493209 has 45 divisors (see below), whose sum is σ = 211030909221. Its totient is φ = 69370023240.

The previous prime is 121419493187. The next prime is 121419493211. The reversal of 121419493209 is 902394914121.

The square root of 121419493209 is 348453.

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

121419493209 is a `hidden beast` number, since 1 + 21 + 419 + 4 + 9 + 3 + 209 = 666.

It is not a de Polignac number, because 121419493209 - 213 = 121419485017 is a prime.

It is a super-2 number, since 2×1214194932092 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121419493219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21949774 + ... + 21955304.

Almost surely, 2121419493209 is an apocalyptic number.

121419493209 is the 348453-rd square number.

121419493209 is the 174227-th centered octagonal number.

It is an amenable number.

121419493209 is a deficient number, since it is larger than the sum of its proper divisors (89611416012).

121419493209 is an frugal number, since it uses more digits than its factorization.

121419493209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11088 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 121419493209 in words is "one hundred twenty-one billion, four hundred nineteen million, four hundred ninety-three thousand, two hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5531 16593 38717 49779 116151 149337 271019 348453 448011 813057 1045359 2439171 3136077 7317513 21952539 30591961 91775883 214143727 275327649 642431181 825982947 1499006089 1927293543 2477948841 4497018267 5781880629 13491054801 17345641887 40473164403 121419493209