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4200330400144 = 2417113136658329
BaseRepresentation
bin111101000111110111001…
…100111001000110010000
3112212112210020200110012221
4331013313030321012100
51022304234040301034
612533334413430424
7612315050212624
oct75076714710620
915775706613187
104200330400144
11137a39401033a
1257a07619b414
132461216ca848
14107423269184
15743d8445bb4
hex3d1f7339190

4200330400144 has 40 divisors (see below), whose sum is σ = 8693109687960. Its totient is φ = 1959133790208.

The previous prime is 4200330400117. The next prime is 4200330400163. The reversal of 4200330400144 is 4410040330024.

It can be written as a sum of positive squares in 4 ways, for example, as 10481664400 + 4189848735744 = 102380^2 + 2046912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68298429 + ... + 68359900.

It is an arithmetic number, because the mean of its divisors is an integer number (217327742199).

Almost surely, 24200330400144 is an apocalyptic number.

It is an amenable number.

4200330400144 is an abundant number, since it is smaller than the sum of its proper divisors (4492779287816).

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

4200330400144 is a wasteful number, since it uses less digits than its factorization.

4200330400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136658467 (or 136658461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4200330400144 its reverse (4410040330024), we get a palindrome (8610370730168).

The spelling of 4200330400144 in words is "four trillion, two hundred billion, three hundred thirty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3842 7684 15368 30736 136658329 273316658 546633316 1093266632 2186533264 2323191593 4646383186 9292766372 15442391177 18585532744 30884782354 37171065488 61769564708 123539129416 247078258832 262520650009 525041300018 1050082600036 2100165200072 4200330400144