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4200023412 = 2232138974409
BaseRepresentation
bin1111101001010111…
…0100010101110100
3101211201002021222200
43322111310111310
532100201222122
61532433024500
7206036416134
oct37225642564
911751067880
104200023412
111865892832
129926b5130
1351c1b6570
142bbb40ac4
15198ad65ac
hexfa574574

4200023412 has 36 divisors (see below), whose sum is σ = 11433398340. Its totient is φ = 1292314752.

The previous prime is 4200023393. The next prime is 4200023413. The reversal of 4200023412 is 2143200024.

4200023412 is a `hidden beast` number, since 420 + 0 + 0 + 234 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2326518756 + 1873504656 = 48234^2 + 43284^2 .

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

It is a super-2 number, since 2×42000234122 = 35280393322696243488, which contains 22 as substring.

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 (4200023413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4486737 + ... + 4487672.

Almost surely, 24200023412 is an apocalyptic number.

It is an amenable number.

4200023412 is an abundant number, since it is smaller than the sum of its proper divisors (7233374928).

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

4200023412 is a wasteful number, since it uses less digits than its factorization.

4200023412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974432 (or 8974427 counting only the distinct ones).

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

The square root of 4200023412 is about 64807.5876113284. The cubic root of 4200023412 is about 1613.4316439231.

Adding to 4200023412 its reverse (2143200024), we get a palindrome (6343223436).

The spelling of 4200023412 in words is "four billion, two hundred million, twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8974409 17948818 26923227 35897636 53846454 80769681 107692908 116667317 161539362 233334634 323078724 350001951 466669268 700003902 1050005853 1400007804 2100011706 4200023412