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200414343004040 = 23511587877748093
BaseRepresentation
bin101101100100011010011001…
…101110001111111110001000
3222021121102110011002112020002
4231210122121232033332020
5202232042033302112130
61550125024514022132
760133313151613034
oct5544323156177610
9867542404075202
10200414343004040
115894927791a9a0
121a589785b77948
1387a9cb72b2b59
14376c16aa691c4
151828384c71b45
hexb64699b8ff88

200414343004040 has 64 divisors (see below), whose sum is σ = 491934546077760. Its totient is φ = 72876693809920.

The previous prime is 200414343004037. The next prime is 200414343004061. The reversal of 200414343004040 is 40400343414002.

It is a happy number.

200414343004040 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 = 200414343003994 and 200414343004012.

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, 21992234 + ... + 29740326.

It is an arithmetic number, because the mean of its divisors is an integer number (7686477282465).

Almost surely, 2200414343004040 is an apocalyptic number.

200414343004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200414343004040 is an abundant number, since it is smaller than the sum of its proper divisors (291520203073720).

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

200414343004040 is a wasteful number, since it uses less digits than its factorization.

200414343004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7806902 (or 7806898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 200414343004040 its reverse (40400343414002), we get a palindrome (240814686418042).

The spelling of 200414343004040 in words is "two hundred trillion, four hundred fourteen billion, three hundred forty-three million, four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 58787 117574 235148 293935 470296 587870 646657 1175740 1293314 2351480 2586628 3233285 5173256 6466570 7748093 12933140 15496186 25866280 30992372 38740465 61984744 77480930 85229023 154961860 170458046 309923720 340916092 426145115 681832184 852290230 1704580460 3409160920 455487143191 910974286382 1821948572764 2277435715955 3643897145528 4554871431910 5010358575101 9109742863820 10020717150202 18219485727640 20041434300404 25051792875505 40082868600808 50103585751010 100207171502020 200414343004040