Search a number
-
+
4031421200 = 245210939221
BaseRepresentation
bin1111000001001010…
…1001101100010000
3101101221211102020022
43300102221230100
531224020434300
61504011203012
7201621341402
oct36022515420
911357742208
104031421200
1117896a5464
12946146468
134c32a3541
142a35b2b72
15188dd0285
hexf04a9b10

4031421200 has 60 divisors (see below), whose sum is σ = 9695402148. Its totient is φ = 1610918400.

The previous prime is 4031421181. The next prime is 4031421211. The reversal of 4031421200 is 21241304.

It can be written as a sum of positive squares in 6 ways, for example, as 721029904 + 3310391296 = 26852^2 + 57536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432590 + ... + 441810.

Almost surely, 24031421200 is an apocalyptic number.

4031421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4031421200 is an abundant number, since it is smaller than the sum of its proper divisors (5663980948).

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

4031421200 is a wasteful number, since it uses less digits than its factorization.

4031421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4031421200 is about 63493.4736803713. The cubic root of 4031421200 is about 1591.5467195169.

Adding to 4031421200 its reverse (21241304), we get a palindrome (4052662504).

The spelling of 4031421200 in words is "four billion, thirty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1093 2186 4372 5465 8744 9221 10930 17488 18442 21860 27325 36884 43720 46105 54650 73768 87440 92210 109300 147536 184420 218600 230525 368840 437200 461050 737680 922100 1844200 3688400 10078553 20157106 40314212 50392765 80628424 100785530 161256848 201571060 251963825 403142120 503927650 806284240 1007855300 2015710600 4031421200