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200240031334032 = 24341024811507657
BaseRepresentation
bin101101100001111000000011…
…111011111111111010010000
3222020222202112001221012210000
4231201320003323333322100
5202221213041010142112
61545513000034010000
760114602434065264
oct5541700373777220
9866882461835700
10200240031334032
1158891358494288
121a55ba39416900
138796727cb1851
14376395250c0a4
151823a81b397dc
hexb61e03effe90

200240031334032 has 100 divisors (see below), whose sum is σ = 579558784642156. Its totient is φ = 66745981532160.

The previous prime is 200240031334019. The next prime is 200240031334043. The reversal of 200240031334032 is 230433130042002.

200240031334032 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 0 + 0 + 313 + 340 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182148926017536 + 18091105316496 = 13496256^2 + 4253364^2 .

It is a super-2 number, since 2×2002400313340322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200240031333987 and 200240031334005.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132061548 + ... + 133569204.

Almost surely, 2200240031334032 is an apocalyptic number.

It is an amenable number.

200240031334032 is an abundant number, since it is smaller than the sum of its proper divisors (379318753308124).

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

200240031334032 is a wasteful number, since it uses less digits than its factorization.

200240031334032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610158 (or 1610143 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 200240031334032 its reverse (230433130042002), we get a palindrome (430673161376034).

The spelling of 200240031334032 in words is "two hundred trillion, two hundred forty billion, thirty-one million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 102481 204962 307443 409924 614886 819848 922329 1229772 1507657 1639696 1844658 2459544 2766987 3015314 3689316 4522971 4919088 5533974 6030628 7378632 8300961 9045942 11067948 12061256 13568913 14757264 16601922 18091884 22135896 24122512 27137826 33203844 36183768 40706739 44271792 54275652 66407688 72367536 81413478 108551304 122120217 132815376 162826956 217102608 244240434 325653912 488480868 651307824 976961736 1953923472 154506197017 309012394034 463518591051 618024788068 927037182102 1236049576136 1390555773153 1854074364204 2472099152272 2781111546306 3708148728408 4171667319459 5562223092612 7416297456816 8343334638918 11124446185224 12515001958377 16686669277836 22248892370448 25030003916754 33373338555672 50060007833508 66746677111344 100120015667016 200240031334032