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4200353334144 = 273211785342209
BaseRepresentation
bin111101000111111000100…
…100011000001110000000
3112212112211211211121202100
4331013320210120032000
51022304310423143034
612533340553150400
7612315446151612
oct75077044301600
915775754747670
104200353334144
11137a3a5a54a60
1257a0819bb400
1324612639a566
14107426318db2
15743da476099
hex3d1f8918380

4200353334144 has 192 divisors, whose sum is σ = 13187759785200. Its totient is φ = 1272642109440.

The previous prime is 4200353334143. The next prime is 4200353334209. The reversal of 4200353334144 is 4414333530024.

It is a happy number.

4200353334144 is a `hidden beast` number, since 4 + 200 + 3 + 5 + 3 + 33 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4200353334099 and 4200353334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200353334143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99492112 + ... + 99534320.

Almost surely, 24200353334144 is an apocalyptic number.

4200353334144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200353334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593879892600).

4200353334144 is an abundant number, since it is smaller than the sum of its proper divisors (8987406451056).

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

4200353334144 is a wasteful number, since it uses less digits than its factorization.

4200353334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50093 (or 50078 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 4200353334144 its reverse (4414333530024), we get a palindrome (8614686864168).

The spelling of 4200353334144 in words is "four trillion, two hundred billion, three hundred fifty-three million, three hundred thirty-four thousand, one hundred forty-four".