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241434200200 = 23523973040733
BaseRepresentation
bin1110000011011010011…
…0011000100010001000
3212002011222001010210211
43200312212120202020
512423424123401300
6302525140450504
723304651561334
oct3406646304210
9762158033724
10241434200200
1193434348066
123a95b9a9a34
13199c8565bbb
14b984d447c4
156430d094ba
hex3836998888

241434200200 has 48 divisors (see below), whose sum is σ = 562748641380. Its totient is φ = 96330389760.

The previous prime is 241434200191. The next prime is 241434200233. The reversal of 241434200200 is 2002434142.

It is a happy number.

241434200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 119338466116 + 122095734084 = 345454^2 + 349422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440967 + ... + 1599766.

Almost surely, 2241434200200 is an apocalyptic number.

241434200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241434200200 is an abundant number, since it is smaller than the sum of its proper divisors (321314441180).

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

241434200200 is a wasteful number, since it uses less digits than its factorization.

241434200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041146 (or 3041137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 241434200200 its reverse (2002434142), we get a palindrome (243436634342).

The spelling of 241434200200 in words is "two hundred forty-one billion, four hundred thirty-four million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 397 794 1588 1985 3176 3970 7940 9925 15880 19850 39700 79400 3040733 6081466 12162932 15203665 24325864 30407330 60814660 76018325 121629320 152036650 304073300 608146600 1207171001 2414342002 4828684004 6035855005 9657368008 12071710010 24143420020 30179275025 48286840040 60358550050 120717100100 241434200200