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243242504505 = 325721113771427
BaseRepresentation
bin1110001010001001100…
…0100001000100111001
3212020211222200111222100
43202202120201010321
512441130040121010
6303424415014013
723400530113500
oct3424230410471
9766758614870
10243242504505
1194182063930
123b18550a309
1319c260a2a50
14bab717d837
1564d99532c0
hex38a2621139

243242504505 has 144 divisors (see below), whose sum is σ = 576201173184. Its totient is φ = 93311688960.

The previous prime is 243242504459. The next prime is 243242504537. The reversal of 243242504505 is 505405242342.

It is not a de Polignac number, because 243242504505 - 27 = 243242504377 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 243242504505.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70399 + ... + 701028.

It is an arithmetic number, because the mean of its divisors is an integer number (4001397036).

Almost surely, 2243242504505 is an apocalyptic number.

It is an amenable number.

243242504505 is an abundant number, since it is smaller than the sum of its proper divisors (332958668679).

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

243242504505 is a wasteful number, since it uses less digits than its factorization.

243242504505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771476 (or 771466 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 243242504505 its reverse (505405242342), we get a palindrome (748647746847).

It can be divided in two parts, 243242 and 504505, that added together give a palindrome (747747).

The spelling of 243242504505 in words is "two hundred forty-three billion, two hundred forty-two million, five hundred four thousand, five hundred five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 49 55 63 65 77 91 99 105 117 143 147 165 195 231 245 273 315 385 429 441 455 495 539 585 637 693 715 735 819 1001 1155 1287 1365 1617 1911 2145 2205 2695 3003 3185 3465 4095 4851 5005 5733 6435 7007 8085 9009 9555 15015 21021 24255 28665 35035 45045 63063 105105 315315 771427 2314281 3857135 5399989 6942843 8485697 10028551 11571405 16199967 25457091 26999945 30085653 34714215 37799923 42428485 48599901 50142755 59399879 70199857 76371273 80999835 90256959 110314061 113399769 127285455 150428265 178199637 188999615 210599571 242999505 296999395 330942183 340199307 350999285 381856365 415799153 451284795 491398999 534598911 551570305 566998845 631798713 772198427 890998185 992826549 1052997855 1247397459 1474196997 1654710915 1700996535 2078995765 2316595281 2456994995 2672994555 3158993565 3742192377 3860992135 4422590991 4964132745 5405388989 6236987295 6949785843 7370984985 11582976405 16216166967 18710961885 22112954955 27026944945 34748929215 48648500901 81080834835 243242504505