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4200403401 = 321727453617
BaseRepresentation
bin1111101001011101…
…0001000111001001
3101211201210121020100
43322113101013021
532100300402101
61532445120013
7206042561025
oct37227210711
911751717210
104200403401
111866022277
12992859009
1351c2ba4cc
142bbbdd385
15198b5de86
hexfa5d11c9

4200403401 has 12 divisors (see below), whose sum is σ = 6424146612. Its totient is φ = 2635547136.

The previous prime is 4200403387. The next prime is 4200403409. The reversal of 4200403401 is 1043040024.

It can be written as a sum of positive squares in 2 ways, for example, as 3153945600 + 1046457801 = 56160^2 + 32349^2 .

It is not a de Polignac number, because 4200403401 - 25 = 4200403369 is a prime.

It is a super-2 number, since 2×42004034012 = 35286777462264733602, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4200403409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13726656 + ... + 13726961.

It is an arithmetic number, because the mean of its divisors is an integer number (535345551).

Almost surely, 24200403401 is an apocalyptic number.

It is an amenable number.

4200403401 is a deficient number, since it is larger than the sum of its proper divisors (2223743211).

4200403401 is a wasteful number, since it uses less digits than its factorization.

4200403401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27453640 (or 27453637 counting only the distinct ones).

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

The square root of 4200403401 is about 64810.5192156335. The cubic root of 4200403401 is about 1613.4802998255.

Adding to 4200403401 its reverse (1043040024), we get a palindrome (5243443425).

The spelling of 4200403401 in words is "four billion, two hundred million, four hundred three thousand, four hundred one".

Divisors: 1 3 9 17 51 153 27453617 82360851 247082553 466711489 1400134467 4200403401