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204023243132240 = 2457252046745697
BaseRepresentation
bin101110011000111011011100…
…111011101100110101010000
3222202101102122121101012211012
4232120323130323230311100
5203220204100220212430
62001530552312310052
760655123105556600
oct5630733473546520
9882342577335735
10204023243132240
115a00a853967214
121aa710a33a2328
1389ac4036231ac
143854ac5c60c00
15188c1a5883695
hexb98edceecd50

204023243132240 has 60 divisors (see below), whose sum is σ = 551799597890196. Its totient is φ = 69950826215424.

The previous prime is 204023243132213. The next prime is 204023243132251. The reversal of 204023243132240 is 42231342320402.

It can be written as a sum of positive squares in 2 ways, for example, as 145794806000704 + 58228437131536 = 12074552^2 + 7630756^2 .

It is a super-2 number, since 2×2040232431322402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204023243132197 and 204023243132206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26023368929 + ... + 26023376768.

Almost surely, 2204023243132240 is an apocalyptic number.

204023243132240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204023243132240 is an abundant number, since it is smaller than the sum of its proper divisors (347776354757956).

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

204023243132240 is a wasteful number, since it uses less digits than its factorization.

204023243132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52046745724 (or 52046745711 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 204023243132240 its reverse (42231342320402), we get a palindrome (246254585452642).

The spelling of 204023243132240 in words is "two hundred four trillion, twenty-three billion, two hundred forty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 52046745697 104093491394 208186982788 260233728485 364327219879 416373965576 520467456970 728654439758 832747931152 1040934913940 1457308879516 1821636099395 2081869827880 2550290539153 2914617759032 3643272198790 4163739655760 5100581078306 5829235518064 7286544397580 10201162156612 12751452695765 14573088795160 20402324313224 25502905391530 29146177590320 40804648626448 51005810783060 102011621566120 204023243132240