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4200014304 = 253214583383
BaseRepresentation
bin1111101001010111…
…0010000111100000
3101211201001211111100
43322111302013200
532100200424204
61532432514400
7206036350443
oct37225620740
911751054440
104200014304
111865886a02
129926aba00
1351c1b2385
142bbb3b65a
15198ad3a39
hexfa5721e0

4200014304 has 36 divisors (see below), whose sum is σ = 11943791496. Its totient is φ = 1400004672.

The previous prime is 4200014303. The next prime is 4200014311. The reversal of 4200014304 is 4034100024.

4200014304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200014303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7291404 + ... + 7291979.

It is an arithmetic number, because the mean of its divisors is an integer number (331771986).

Almost surely, 24200014304 is an apocalyptic number.

It is an amenable number.

4200014304 is an abundant number, since it is smaller than the sum of its proper divisors (7743777192).

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

4200014304 is a wasteful number, since it uses less digits than its factorization.

4200014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14583399 (or 14583388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4200014304 is about 64807.5173417405. The cubic root of 4200014304 is about 1613.4304776481.

Adding to 4200014304 its reverse (4034100024), we get a palindrome (8234114328).

The spelling of 4200014304 in words is "four billion, two hundred million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14583383 29166766 43750149 58333532 87500298 116667064 131250447 175000596 233334128 262500894 350001192 466668256 525001788 700002384 1050003576 1400004768 2100007152 4200014304