Search a number
-
+
243123345153 = 3313839825577
BaseRepresentation
bin1110001001101101000…
…1111101011100000001
3212020112200110121002000
43202123101331130001
512440404034021103
6303404521014213
723364552223233
oct3423321753401
9766480417060
10243123345153
1194120876727
123b151624369
1319c074b1660
14baa5402253
1564ce266aa3
hex389b47d701

243123345153 has 32 divisors (see below), whose sum is σ = 388351891200. Its totient is φ = 149435860608.

The previous prime is 243123345061. The next prime is 243123345173. The reversal of 243123345153 is 351543321342.

243123345153 is a `hidden beast` number, since 2 + 4 + 312 + 334 + 5 + 1 + 5 + 3 = 666.

243123345153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243123345153 - 28 = 243123344897 is a prime.

It is a super-4 number, since 4×2431233451534 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (243123345173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118300 + ... + 707277.

It is an arithmetic number, because the mean of its divisors is an integer number (12135996600).

Almost surely, 2243123345153 is an apocalyptic number.

It is an amenable number.

243123345153 is a deficient number, since it is larger than the sum of its proper divisors (145228546047).

243123345153 is a wasteful number, since it uses less digits than its factorization.

243123345153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826438 (or 826432 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 243123345153 its reverse (351543321342), we get a palindrome (594666666495).

The spelling of 243123345153 in words is "two hundred forty-three billion, one hundred twenty-three million, three hundred forty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 13 27 39 117 351 839 2517 7551 10907 22653 32721 98163 294489 825577 2476731 7430193 10732501 22290579 32197503 96592509 289777527 692659103 2077977309 6233931927 9004568339 18701795781 27013705017 81041115051 243123345153