Search a number
-
+
200442413412 = 223220693269069
BaseRepresentation
bin1011101010101101001…
…1001000000101100100
3201011101011202121121100
42322223103020011210
511241001224212122
6232025412320100
720324102255013
oct2725323100544
9634334677540
10200442413412
1178009575a1a
1232a1b913030
1315b94b90967
1499b6b66a7a
155332214aac
hex2eab4c8164

200442413412 has 36 divisors (see below), whose sum is σ = 506700246780. Its totient is φ = 66810660672.

The previous prime is 200442413377. The next prime is 200442413531. The reversal of 200442413412 is 214314244002.

200442413412 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 241 + 3 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185092690176 + 15349723236 = 430224^2 + 123894^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2004424134122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610414 + ... + 879482.

It is an arithmetic number, because the mean of its divisors is an integer number (14075006855).

Almost surely, 2200442413412 is an apocalyptic number.

It is an amenable number.

200442413412 is an abundant number, since it is smaller than the sum of its proper divisors (306257833368).

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

200442413412 is a wasteful number, since it uses less digits than its factorization.

200442413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289772 (or 289767 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 200442413412 its reverse (214314244002), we get a palindrome (414756657414).

The spelling of 200442413412 in words is "two hundred billion, four hundred forty-two million, four hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 20693 41386 62079 82772 124158 186237 248316 269069 372474 538138 744948 807207 1076276 1614414 2421621 3228828 4843242 9686484 5567844817 11135689634 16703534451 22271379268 33407068902 50110603353 66814137804 100221206706 200442413412