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243224355142314 = 232713252121923611
BaseRepresentation
bin110111010011011000010101…
…010010011111101010101010
31011220012000120111121110012100
4313103120111102133222222
5223334441434404023224
62221143420510354230
7102142244155025310
oct6723302522375252
91156160514543170
10243224355142314
11705539626a5187
12233426144bb976
13a593c5c438700
14440c19b95c0b0
151d1bc54c17ac9
hexdd361549faaa

243224355142314 has 144 divisors (see below), whose sum is σ = 653413787492544. Its totient is φ = 64023956755200.

The previous prime is 243224355142289. The next prime is 243224355142369. The reversal of 243224355142314 is 413241553422342.

243224355142314 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 2 + 43 + 551 + 42 + 3 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 243224355142314.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132369 + ... + 22055979.

It is an arithmetic number, because the mean of its divisors is an integer number (4537595746476).

Almost surely, 2243224355142314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243224355142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326706893746272).

243224355142314 is an abundant number, since it is smaller than the sum of its proper divisors (410189432350230).

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

243224355142314 is a wasteful number, since it uses less digits than its factorization.

243224355142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21924173 (or 21924157 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 243224355142314 in words is "two hundred forty-three trillion, two hundred twenty-four billion, three hundred fifty-five million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 521 546 819 1014 1042 1183 1521 1563 1638 2366 3042 3126 3549 3647 4689 6773 7098 7294 9378 10647 10941 13546 20319 21294 21882 32823 40638 47411 60957 65646 88049 94822 121914 142233 176098 264147 284466 426699 528294 616343 792441 853398 1232686 1584882 1849029 3698058 5547087 11094174 21923611 43847222 65770833 131541666 153465277 197312499 285006943 306930554 394624998 460395831 570013886 855020829 920791662 1381187493 1710041658 1995048601 2565062487 2762374986 3705090259 3990097202 5130124974 5985145803 7410180518 11115270777 11422201331 11970291606 17955437409 22230541554 22844402662 25935631813 33345812331 34266603993 35910874818 51871263626 66691624662 68533207986 77806895439 79955409317 102799811979 148488617303 155613790878 159910818634 205599623958 233420686317 239866227951 296977234606 445465851909 466841372634 479732455902 719598683853 890931703818 1039420321121 1336397555727 1439197367706 1930352024939 2078840642242 2672795111454 3118260963363 3860704049878 5791056074817 6236521926726 9354782890089 11582112149634 13512464174573 17373168224451 18709565780178 27024928349146 34746336448902 40537392523719 81074785047438 121612177571157 243224355142314