Search a number
-
+
308921421249 = 32741921992
BaseRepresentation
bin1000111111011010010…
…01101100110111000001
31002112101021011011222100
410133231021230313001
520030132340434444
6353525550101013
731214234520000
oct4375511546701
91075337134870
10308921421249
1110a0160a8111
124ba551aa769
13231922286ac
1410d47d40c37
158080a17e69
hex47ed26cdc1

308921421249 has 135 divisors (see below), whose sum is σ = 552173322753. Its totient is φ = 166395276432.

The previous prime is 308921421239. The next prime is 308921421269. The reversal of 308921421249 is 942124129803.

The square root of 308921421249 is 555807.

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

308921421249 is a `hidden beast` number, since 308 + 9 + 214 + 2 + 124 + 9 = 666.

It is not a de Polignac number, because 308921421249 - 27 = 308921421121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (308921421239) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1552368852 + ... + 1552369050.

Almost surely, 2308921421249 is an apocalyptic number.

308921421249 is the 555807-th square number.

308921421249 is the 277904-th centered octagonal number.

It is an amenable number.

308921421249 is a deficient number, since it is larger than the sum of its proper divisors (243251901504).

308921421249 is an frugal number, since it uses more digits than its factorization.

308921421249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 308921421249 in words is "three hundred eight billion, nine hundred twenty-one million, four hundred twenty-one thousand, two hundred forty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 199 343 361 399 441 597 931 1029 1083 1197 1393 1791 2401 2527 2793 3087 3249 3781 4179 6517 7203 7581 8379 9751 11343 12537 17689 19551 21609 22743 26467 29253 34029 39601 45619 53067 58653 68257 71839 79401 87759 118803 123823 136857 159201 185269 204771 215517 238203 277207 356409 371469 410571 477799 502873 555807 614313 646551 752419 831621 866761 1114407 1296883 1433397 1508619 1667421 1940449 2257257 2494863 2600283 3520111 3890649 4300191 4525857 5266933 5821347 6771771 7800849 9078181 10560333 11671947 13583143 14295961 15800799 17464041 24640777 27234543 31680999 36868531 40749429 42887883 47402397 73922331 81703629 95082001 100071727 110605593 122248287 128663649 172485439 221766993 258079717 285246003 300215181 331816779 517456317 700502089 774239151 855738009 900645543 1552368951 1806558019 2101506267 2322717453 4903514623 5419674057 6304518801 14710543869 16259022171 34324602361 44131631607 102973807083 308921421249