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1384733502009 = 321121342112
BaseRepresentation
bin10100001001101000100…
…011000110101000111001
311220101020110101100021100
4110021220203012220321
5140141413234031014
62540045432402013
7202020662363364
oct24115043065071
94811213340240
101384733502009
11494297a64400
121a4454546309
13a076cac0000
144b042c530db
1526047c58009
hex142688c6a39

1384733502009 has 135 divisors (see below), whose sum is σ = 2393080808937. Its totient is φ = 771004634400.

The previous prime is 1384733501999. The next prime is 1384733502023. The reversal of 1384733502009 is 9002053374831.

The square root of 1384733502009 is 1176747.

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

1384733502009 is a `hidden beast` number, since 13 + 84 + 7 + 3 + 350 + 200 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 686572988409 + 698160513600 = 828597^2 + 835560^2 .

It is not a de Polignac number, because 1384733502009 - 27 = 1384733501881 is a prime.

It is a super-2 number, since 2×13847335020092 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1384733582009) 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 134 ways as a sum of consecutive naturals, for example, 6562717914 + ... + 6562718124.

Almost surely, 21384733502009 is an apocalyptic number.

1384733502009 is the 1176747-th square number.

1384733502009 is the 588374-th centered octagonal number.

It is an amenable number.

1384733502009 is a deficient number, since it is larger than the sum of its proper divisors (1008347306928).

1384733502009 is an frugal number, since it uses more digits than its factorization.

1384733502009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1384733502009 in words is "one trillion, three hundred eighty-four billion, seven hundred thirty-three million, five hundred two thousand, nine".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 211 363 429 507 633 1089 1287 1521 1573 1859 1899 2197 2321 2743 4719 5577 6591 6963 8229 14157 16731 19773 20449 20889 24167 24687 25531 28561 30173 35659 44521 61347 72501 76593 85683 90519 106977 133563 184041 217503 229779 257049 265837 271557 314171 320931 331903 392249 400689 463567 489731 578773 797511 942513 995709 1176747 1390701 1469193 1736319 2392533 2827539 2987127 3455881 3530241 4172103 4314739 4407579 5099237 5208957 5387041 6026371 6366503 7524049 10367643 12944217 15297711 16161123 18079113 19099509 22572147 31102929 38832651 45893133 48483369 54237339 56091607 57298527 66290081 67716441 70031533 82764539 97812637 168274821 198870243 210094599 248293617 293437911 504824463 596610729 630283797 729190891 744880851 880313733 910409929 1075939007 1271564281 2187572673 2731229787 3227817021 3814692843 6562718019 8193689361 9683451063 11444078529 11835329077 13987207091 35505987231 41961621273 106517961693 125884863819 153859278001 461577834003 1384733502009