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200430112414224 = 243711173313462003
BaseRepresentation
bin101101100100101001000101…
…101001110001101000010000
3222021122221011011000120021010
4231210221011221301220100
5202232321332234223344
61550140153355130520
760134412013442610
oct5544510551615020
9867587134016233
10200430112414224
1158954a2a28a1a0
121a590847143a40
1387ab62b3614b4
14376cc25134a40
1518289a93b98b9
hexb64a45a71a10

200430112414224 has 160 divisors (see below), whose sum is σ = 649272595037184. Its totient is φ = 51758845770240.

The previous prime is 200430112414219. The next prime is 200430112414277. The reversal of 200430112414224 is 422414211034002.

200430112414224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200430112414191 and 200430112414200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156091594 + ... + 157370409.

Almost surely, 2200430112414224 is an apocalyptic number.

200430112414224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200430112414224 is an abundant number, since it is smaller than the sum of its proper divisors (448842482622960).

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

200430112414224 is a wasteful number, since it uses less digits than its factorization.

200430112414224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313462205 (or 313462199 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 200430112414224 its reverse (422414211034002), we get a palindrome (622844323448226).

The spelling of 200430112414224 in words is "two hundred trillion, four hundred thirty billion, one hundred twelve million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 173 176 231 264 308 336 346 462 519 528 616 692 924 1038 1211 1232 1384 1848 1903 2076 2422 2768 3633 3696 3806 4152 4844 5709 7266 7612 8304 9688 11418 13321 14532 15224 19376 22836 26642 29064 30448 39963 45672 53284 58128 79926 91344 106568 159852 213136 319704 639408 313462003 626924006 940386009 1253848012 1880772018 2194234021 2507696024 3448082033 3761544036 4388468042 5015392048 6582702063 6896164066 7523088072 8776936084 10344246099 13165404126 13792328132 15046176144 17553872168 20688492198 24136574231 26330808252 27584656264 35107744336 41376984396 48273148462 52661616504 54228926519 55169312528 72409722693 82753968792 96546296924 105323233008 108457853038 144819445386 162686779557 165507937584 193092593848 216915706076 289638890772 325373559114 379602485633 386185187696 433831412152 579277781544 596518191709 650747118228 759204971266 867662824304 1138807456899 1158555563088 1193036383418 1301494236456 1518409942532 1789554575127 2277614913798 2386072766836 2602988472912 3036819885064 3579109150254 4175627341963 4555229827596 4772145533672 6073639770128 7158218300508 8351254683926 9110459655192 9544291067344 12526882025889 14316436601016 16702509367852 18220919310384 25053764051778 28632873202032 33405018735704 50107528103556 66810037471408 100215056207112 200430112414224