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200414341313240 = 235311311233774571
BaseRepresentation
bin101101100100011010011001…
…100111110011001011011000
3222021121102110000220121212212
4231210122121213303023120
5202232042032334010430
61550125024413454252
760133313131341425
oct5544323147631330
9867542400817785
10200414341313240
115894927697563a
121a5897854a1388
1387a9cb6b40392
14376c16a748d4c
151828384a3ab95
hexb646999f32d8

200414341313240 has 64 divisors (see below), whose sum is σ = 469031741291520. Its totient is φ = 76987533168000.

The previous prime is 200414341313227. The next prime is 200414341313261. The reversal of 200414341313240 is 42313143414002.

It is a junction number, because it is equal to n+sod(n) for n = 200414341313197 and 200414341313206.

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, 616724846 + ... + 617049725.

It is an arithmetic number, because the mean of its divisors is an integer number (7328620957680).

Almost surely, 2200414341313240 is an apocalyptic number.

200414341313240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200414341313240 is an abundant number, since it is smaller than the sum of its proper divisors (268617399978280).

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

200414341313240 is a wasteful number, since it uses less digits than its factorization.

200414341313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233774744 (or 1233774740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 200414341313240 its reverse (42313143414002), we get a palindrome (242727484727242).

The spelling of 200414341313240 in words is "two hundred trillion, four hundred fourteen billion, three hundred forty-one million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 131 155 248 262 310 524 620 655 1048 1240 1310 2620 4061 5240 8122 16244 20305 32488 40610 81220 162440 1233774571 2467549142 4935098284 6168872855 9870196568 12337745710 24675491420 38247011701 49350982840 76494023402 152988046804 161624468801 191235058505 305976093608 323248937602 382470117010 646497875204 764940234020 808122344005 1292995750408 1529880468040 1616244688010 3232489376020 5010358532831 6464978752040 10020717065662 20041434131324 25051792664155 40082868262648 50103585328310 100207170656620 200414341313240