Search a number
-
+
242230512002304 = 2837421791068251
BaseRepresentation
bin110111000100111010101111…
…100111110010010100000000
31011202200000021212101220211210
4313010322233213302110000
5223222201042033033204
62215103054435010120
7102010401620515350
oct6704725747622400
91152600255356753
10242230512002304
11702004240a8331
1223201a90439940
13a52131589a0b7
1443b603b0b6b60
151d00e88c71389
hexdc4eaf9f2500

242230512002304 has 144 divisors (see below), whose sum is σ = 736802631774720. Its totient is φ = 69207012096000.

The previous prime is 242230512002299. The next prime is 242230512002329. The reversal of 242230512002304 is 403200215032242.

242230512002304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226220179 + ... + 227288429.

It is an arithmetic number, because the mean of its divisors is an integer number (5116684942880).

Almost surely, 2242230512002304 is an apocalyptic number.

242230512002304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242230512002304 is an abundant number, since it is smaller than the sum of its proper divisors (494572119772416).

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

242230512002304 is a wasteful number, since it uses less digits than its factorization.

242230512002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110456 (or 1110442 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 242230512002304 its reverse (403200215032242), we get a palindrome (645430727034546).

The spelling of 242230512002304 in words is "two hundred forty-two trillion, two hundred thirty billion, five hundred twelve million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 42179 84358 126537 168716 253074 295253 337432 506148 590506 674864 885759 1012296 1068251 1181012 1349728 1771518 2024592 2136502 2362024 2699456 3204753 3543036 4049184 4273004 4724048 5398912 6409506 7086072 7477757 8098368 8546008 9448096 10797824 12819012 14172144 14955514 16196736 17092016 18896192 22433271 25638024 28344288 29911028 32393472 34184032 37792384 44866542 51276048 56688576 59822056 68368064 75584768 89733084 102552096 113377152 119644112 136736128 179466168 205104192 226754304 239288224 273472256 358932336 410208384 478576448 717864672 820416768 957152896 1435729344 1914305792 2871458688 5742917376 45057758929 90115517858 135173276787 180231035716 270346553574 315404312503 360462071432 540693107148 630808625006 720924142864 946212937509 1081386214296 1261617250012 1441848285728 1892425875018 2162772428592 2523234500024 2883696571456 3784851750036 4325544857184 5046469000048 5767393142912 7569703500072 8651089714368 10092938000096 11534786285824 15139407000144 17302179428736 20185876000192 30278814000288 34604358857472 40371752000384 60557628000576 80743504000768 121115256001152 242230512002304