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242543031129 = 3471979521547
BaseRepresentation
bin1110000111100010110…
…0001111001101011001
3212012001020111120220000
43201320230033031121
512433212003444004
6303231150523213
723344304514510
oct3417054171531
9765036446800
10242543031129
1193953244163
123b00b206509
1319b441b9289
14ba4c301677
156498336c39
hex3878b0f359

242543031129 has 160 divisors (see below), whose sum is σ = 443043532800. Its totient is φ = 129154072320.

The previous prime is 242543031121. The next prime is 242543031131. The reversal of 242543031129 is 921130345242.

242543031129 is a `hidden beast` number, since 242 + 54 + 30 + 311 + 29 = 666.

It is not a de Polignac number, because 242543031129 - 23 = 242543031121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242543031093 and 242543031102.

It is not an unprimeable number, because it can be changed into a prime (242543031121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 443405634 + ... + 443406180.

It is an arithmetic number, because the mean of its divisors is an integer number (2769022080).

Almost surely, 2242543031129 is an apocalyptic number.

It is an amenable number.

242543031129 is a deficient number, since it is larger than the sum of its proper divisors (200500501671).

242543031129 is a wasteful number, since it uses less digits than its factorization.

242543031129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 242543031129 in words is "two hundred forty-two billion, five hundred forty-three million, thirty-one thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 19 21 27 57 63 79 81 133 171 189 237 399 513 521 547 553 567 711 1197 1501 1539 1563 1641 1659 2133 3591 3647 3829 4503 4689 4923 4977 6399 9899 10393 10507 10773 10941 11487 13509 14067 14769 14931 29697 31179 31521 32823 34461 40527 41159 42201 43213 44307 44793 69293 72751 89091 93537 94563 98469 103383 121581 123477 129639 207879 218253 267273 280611 283689 284987 288113 295407 302491 310149 370431 388917 623637 654759 782021 801819 821047 841833 851067 854961 864339 907473 1111293 1166751 1870911 1964277 1994909 2346063 2463141 2564883 2593017 2722419 3333879 3500253 5414753 5474147 5612733 5747329 5892831 5984727 7038189 7389423 7694649 7779051 8167257 16244259 16422441 17241987 17954181 21114567 22168269 22513973 23083947 23337153 24501771 37903271 48732777 49267323 51725961 53862543 63343701 66504807 67541919 113709813 146198331 147801969 155177883 157597811 161587629 202625757 341129439 427765487 438594993 443405907 465533649 472793433 607877271 1023388317 1283296461 1418380299 1823631813 2994358409 3070164951 3849889383 4255140897 8983075227 11549668149 12765422691 26949225681 34649004447 80847677043 242543031129