Search a number
-
+
30514566441555 = 335732290546499
BaseRepresentation
bin1101111000000101110011…
…11001001010101001010011
311000001011102121020101001000
412330002321321022221103
512444422313002112210
6144522110455513043
76266414255104320
oct674027171125123
9130034377211030
1030514566441555
1197a51782746a9
123509b16688783
131404685344bc1
14776cacdb5b47
1537db4962eac0
hex1bc0b9e4aa53

30514566441555 has 32 divisors (see below), whose sum is σ = 61997849280000. Its totient is φ = 13949516087136.

The previous prime is 30514566441553. The next prime is 30514566441577. The reversal of 30514566441555 is 55514466541503.

30514566441555 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 45 + 6 + 6 + 4 + 41 + 555 = 666.

It is not a de Polignac number, because 30514566441555 - 21 = 30514566441553 is a prime.

It is a super-2 number, since 2×305145664415552 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30514566441553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16145272305 + ... + 16145274194.

It is an arithmetic number, because the mean of its divisors is an integer number (1937432790000).

Almost surely, 230514566441555 is an apocalyptic number.

30514566441555 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30514566441555 is an abundant number, since it is smaller than the sum of its proper divisors (31483282838445).

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

30514566441555 is a wasteful number, since it uses less digits than its factorization.

30514566441555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32290546520 (or 32290546514 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 54.

The spelling of 30514566441555 in words is "thirty trillion, five hundred fourteen billion, five hundred sixty-six million, four hundred forty-one thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 32290546499 96871639497 161452732495 226033825493 290614918491 484358197485 678101476479 871844755473 1130169127465 1453074592455 2034304429437 3390507382395 4359223777365 6102913288311 10171522147185 30514566441555