Search a number
-
+
15234401032641 = 337191422017259
BaseRepresentation
bin1101110110110000100100…
…0011111101100111000001
31222221101122121020120221000
43131230021003331213001
53444100023131021031
652222330501122213
73131435442121320
oct335541103754701
958841577216830
1015234401032641
11494396724a76a
1218606420b9369
138667a0638a6b
143a94c57080b7
151b6435ca23e6
hexddb090fd9c1

15234401032641 has 32 divisors (see below), whose sum is σ = 25928740454400. Its totient is φ = 8659794134160.

The previous prime is 15234401032607. The next prime is 15234401032649. The reversal of 15234401032641 is 14623010443251.

15234401032641 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 4 + 4 + 0 + 1 + 0 + 3 + 2 + 641 = 666.

It is not a de Polignac number, because 15234401032641 - 26 = 15234401032577 is a prime.

It is a super-3 number, since 3×152344010326413 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15234401032596 and 15234401032605.

It is not an unprimeable number, because it can be changed into a prime (15234401032649) 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, 210972531 + ... + 211044728.

It is an arithmetic number, because the mean of its divisors is an integer number (810273139200).

Almost surely, 215234401032641 is an apocalyptic number.

It is an amenable number.

15234401032641 is a deficient number, since it is larger than the sum of its proper divisors (10694339421759).

15234401032641 is a wasteful number, since it uses less digits than its factorization.

15234401032641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422017466 (or 422017460 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 15234401032641 its reverse (14623010443251), we get a palindrome (29857411475892).

The spelling of 15234401032641 in words is "fifteen trillion, two hundred thirty-four billion, four hundred one million, thirty-two thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 191 573 1337 1719 4011 5157 12033 36099 422017259 1266051777 2954120813 3798155331 8862362439 11394465993 26587087317 79761261951 80605296469 241815889407 564237075283 725447668221 1692711225849 2176343004663 5078133677547 15234401032641