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200432241321400 = 23521197939232621
BaseRepresentation
bin101101100100101011000100…
…100010111010010110111000
3222021200010122111221020220001
4231210223010202322112320
5202232340212234241100
61550141144525042344
760134515534034224
oct5544530442722670
9867603574836801
10200432241321400
1158955921a71710
121a5911400b63b4
1387ab8aa430a9a
14376cd87b87784
151828a81241d6a
hexb64ac48ba5b8

200432241321400 has 96 divisors (see below), whose sum is σ = 513609967014480. Its totient is φ = 72133065216000.

The previous prime is 200432241321373. The next prime is 200432241321407. The reversal of 200432241321400 is 4123142234002.

It is a super-2 number, since 2×2004322413214002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200432241321407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469402911 + ... + 469829710.

Almost surely, 2200432241321400 is an apocalyptic number.

200432241321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200432241321400 is an abundant number, since it is smaller than the sum of its proper divisors (313177725693080).

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

200432241321400 is a wasteful number, since it uses less digits than its factorization.

200432241321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939232745 (or 939232736 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200432241321400 its reverse (4123142234002), we get a palindrome (204555383555402).

The spelling of 200432241321400 in words is "two hundred trillion, four hundred thirty-two billion, two hundred forty-one million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9700 10670 19400 21340 26675 42680 53350 106700 213400 939232621 1878465242 3756930484 4696163105 7513860968 9392326210 10331558831 18784652420 20663117662 23480815525 37569304840 41326235324 46961631050 51657794155 82652470648 91105564237 93923262100 103315588310 182211128474 187846524200 206631176620 258288970775 364422256948 413262353240 455527821185 516577941550 728844513896 911055642370 1002161206607 1033155883100 1822111284740 2004322413214 2066311766200 2277639105925 3644222569480 4008644826428 4555278211850 5010806033035 8017289652856 9110556423700 10021612066070 18221112847400 20043224132140 25054030165175 40086448264280 50108060330350 100216120660700 200432241321400