Search a number
-
+
243141255045 = 325132318070699
BaseRepresentation
bin1110001001110001011…
…0010001111110000101
3212020120221011111211100
43202130112101332011
512440423130130140
6303410400530313
723365160365533
oct3423426217605
9766527144740
10243141255045
119412a999697
123b157620999
1319c0b112620
14baa7945153
1564d0b03530
hex389c591f85

243141255045 has 48 divisors (see below), whose sum is σ = 473596905600. Its totient is φ = 114495942528.

The previous prime is 243141255029. The next prime is 243141255047. The reversal of 243141255045 is 540552141342.

243141255045 is a `hidden beast` number, since 2 + 4 + 3 + 141 + 2 + 5 + 504 + 5 = 666.

243141255045 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 243141255045 - 24 = 243141255029 is a prime.

It is a super-3 number, since 3×2431412550453 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243141255047) 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 47 ways as a sum of consecutive naturals, for example, 9021895 + ... + 9048804.

It is an arithmetic number, because the mean of its divisors is an integer number (9866602200).

Almost surely, 2243141255045 is an apocalyptic number.

It is an amenable number.

243141255045 is a deficient number, since it is larger than the sum of its proper divisors (230455650555).

243141255045 is a wasteful number, since it uses less digits than its factorization.

243141255045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18070746 (or 18070743 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 243141255045 its reverse (540552141342), we get a palindrome (783693396387).

The spelling of 243141255045 in words is "two hundred forty-three billion, one hundred forty-one million, two hundred fifty-five thousand, forty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 585 897 1035 1495 2691 4485 13455 18070699 54212097 90353495 162636291 234919087 271060485 415626077 704757261 813181455 1174595435 1246878231 2078130385 2114271783 3523786305 3740634693 5403139001 6234391155 10571358915 16209417003 18703173465 27015695005 48628251009 81047085015 243141255045