Search a number
-
+
121421583936 = 2632145192
BaseRepresentation
bin111000100010101001…
…0100101011001000000
3102121102002010120001100
41301011102211121000
53442132411141221
6131440313534400
711525640301662
oct1610522453100
9377362116040
10121421583936
1147549356184
121b647a14400
13b5b08821b3
145c3c076532
153259bb0926
hex1c454a5640

121421583936 has 63 divisors (see below), whose sum is σ = 348057019531. Its totient is φ = 40471073664.

The previous prime is 121421583931. The next prime is 121421583967. The reversal of 121421583936 is 639385124121.

The square root of 121421583936 is 348456.

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

121421583936 is a `hidden beast` number, since 1 + 2 + 14 + 21 + 583 + 9 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121421583891 and 121421583900.

It is not an unprimeable number, because it can be changed into a prime (121421583931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8355685 + ... + 8370203.

Almost surely, 2121421583936 is an apocalyptic number.

121421583936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121421583936 is the 348456-th square number.

It is an amenable number.

121421583936 is an abundant number, since it is smaller than the sum of its proper divisors (226635435595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121421583936 is an frugal number, since it uses more digits than its factorization.

121421583936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29056 (or 14524 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 121421583936 in words is "one hundred twenty-one billion, four hundred twenty-one million, five hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14519 29038 43557 58076 87114 116152 130671 174228 232304 261342 348456 464608 522684 696912 929216 1045368 1393824 2090736 2787648 4181472 8362944 210801361 421602722 632404083 843205444 1264808166 1686410888 1897212249 2529616332 3372821776 3794424498 5059232664 6745643552 7588848996 10118465328 13491287104 15177697992 20236930656 30355395984 40473861312 60710791968 121421583936