Search a number
-
+
3814421121 = 32721721732
BaseRepresentation
bin1110001101011011…
…0111001010000001
3100211211111200002100
43203112313022001
530302442433441
61430300141013
7163345021200
oct34326671201
910754450070
103814421121
111688161055
128a5537769
1348a346424
14282847237
15174d18cb6
hexe35b7281

3814421121 has 81 divisors (see below), whose sum is σ = 6848041161. Its totient is φ = 2039595264.

The previous prime is 3814421041. The next prime is 3814421141. The reversal of 3814421121 is 1211244183.

The square root of 3814421121 is 61761.

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

3814421121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1869611121 + 1944810000 = 43239^2 + 44100^2 .

It is not a de Polignac number, because 3814421121 - 221 = 3812323969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3814421141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22048591 + ... + 22048763.

Almost surely, 23814421121 is an apocalyptic number.

3814421121 is the 61761-st square number.

3814421121 is the 30881-st centered octagonal number.

It is an amenable number.

3814421121 is a deficient number, since it is larger than the sum of its proper divisors (3033620040).

3814421121 is a wasteful number, since it uses less digits than its factorization.

3814421121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The cubic root of 3814421121 is about 1562.4622961441.

The spelling of 3814421121 in words is "three billion, eight hundred fourteen million, four hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 173 289 357 441 519 833 867 1071 1211 1557 2023 2499 2601 2941 3633 6069 7497 8477 8823 10899 14161 18207 20587 25431 26469 29929 42483 49997 61761 76293 89787 127449 144109 149991 185283 209503 269361 349979 432327 449973 508793 628509 1049937 1296981 1466521 1526379 1885527 2449853 3149811 3561551 4399563 4579137 7349559 8649481 10684653 13198689 22048677 24930857 25948443 32053959 60546367 74792571 77845329 181639101 224377713 423824569 544917303 1271473707 3814421121