Search a number
-
+
232450244524404 = 223259355947896421
BaseRepresentation
bin110100110110100110001010…
…010000001011100101110100
31010111001000201012200100001200
4310312212022100023211310
5220431431100044240104
62142214100152252500
766650655516564024
oct6466461220134564
91114030635610050
10232450244524404
116807a660083415
12220a24b86a1130
139c91c6bbb682a
14415891aa05a84
151bd186e7d5b39
hexd3698a40b974

232450244524404 has 144 divisors (see below), whose sum is σ = 597927399888000. Its totient is φ = 76120976897280.

The previous prime is 232450244524387. The next prime is 232450244524411. The reversal of 232450244524404 is 404425442054232.

232450244524404 is a `hidden beast` number, since 2 + 3 + 2 + 45 + 0 + 2 + 44 + 524 + 40 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 232450244524404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36201561114 + ... + 36201567534.

Almost surely, 2232450244524404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232450244524404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298963699944000).

232450244524404 is an abundant number, since it is smaller than the sum of its proper divisors (365477155363596).

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

232450244524404 is a wasteful number, since it uses less digits than its factorization.

232450244524404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 45.

Adding to 232450244524404 its reverse (404425442054232), we get a palindrome (636875686578636).

The spelling of 232450244524404 in words is "two hundred thirty-two trillion, four hundred fifty billion, two hundred forty-four million, five hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3559 4789 6421 7118 9578 10677 12842 14236 14367 19156 19263 21354 25684 28734 32031 38526 42708 43101 57468 57789 64062 77052 86202 115578 128124 172404 209981 231156 282551 378839 419962 565102 629943 757678 839924 847653 1130204 1136517 1259886 1515356 1695306 1889829 2273034 2519772 2542959 3390612 3409551 3779658 4546068 5085918 6819102 7559316 10171836 13638204 17044051 22852339 30750169 34088102 45704678 51132153 61500338 68176204 68557017 91409356 92250507 102264306 123000676 137114034 153396459 184501014 204528612 205671051 274228068 276751521 306792918 369002028 411342102 553503042 613585836 822684204 1005599009 1107006084 1348288001 1814259971 2011198018 2696576002 3016797027 3628519942 4022396036 4044864003 5393152004 5442779913 6033594054 7257039884 8089728006 9050391081 10885559826 12067188108 12134592009 16179456012 16328339739 18100782162 21771119652 24269184018 32656679478 36201564324 48538368036 65313358956 109439851471 218879702942 328319554413 437759405884 656639108826 984958663239 1313278217652 1969917326478 3939834652956 6456951236789 12913902473578 19370853710367 25827804947156 38741707420734 58112561131101 77483414841468 116225122262202 232450244524404