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200051347441 = 1127325572
BaseRepresentation
bin1011101001001111111…
…1010100111111110001
3201010100220220101221111
42322103333110333301
511234201121104231
6231522522353321
720311313253001
oct2722377247761
9633326811844
10200051347441
1177928852300
123293095b841
1315b31b5998a
14997ac4a001
15530cc184b1
hex2e93fd4ff1

200051347441 has 27 divisors (see below), whose sum is σ = 223345599393. Its totient is φ = 179051526720.

The previous prime is 200051347439. The next prime is 200051347459. The reversal of 200051347441 is 144743150002.

The square root of 200051347441 is 447271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 32786707041 + 167264640400 = 181071^2 + 408980^2 .

It is not a de Polignac number, because 200051347441 - 21 = 200051347439 is a prime.

It is a super-2 number, since 2×2000513474412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200051347421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 359158335 + ... + 359158891.

Almost surely, 2200051347441 is an apocalyptic number.

200051347441 is the 447271-st square number.

200051347441 is the 223636-th centered octagonal number.

It is an amenable number.

200051347441 is a deficient number, since it is larger than the sum of its proper divisors (23294251952).

200051347441 is an frugal number, since it uses more digits than its factorization.

200051347441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 200051347441 its reverse (144743150002), we get a palindrome (344794497443).

The spelling of 200051347441 in words is "two hundred billion, fifty-one million, three hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 11 73 121 557 803 5329 6127 8833 40661 58619 67397 310249 447271 644809 2968253 3412739 4919981 22648177 32650783 37540129 249129947 359158613 1653316921 2740429417 18186486131 200051347441