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4144121220 = 2235137504151
BaseRepresentation
bin1111011100000010…
…0100010110000100
3101200210220011121010
43313000210112010
531441343334340
61523114522220
7204460310031
oct36700442604
911623804533
104144121220
111837280678
12977a36370
13510742845
142b454c388
15193c42b80
hexf7024584

4144121220 has 48 divisors (see below), whose sum is σ = 11688259968. Its totient is φ = 1097030400.

The previous prime is 4144121153. The next prime is 4144121221. The reversal of 4144121220 is 221214414.

It is not an unprimeable number, because it can be changed into a prime (4144121221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243856 + ... + 260295.

It is an arithmetic number, because the mean of its divisors is an integer number (243505416).

Almost surely, 24144121220 is an apocalyptic number.

It is an amenable number.

4144121220 is an abundant number, since it is smaller than the sum of its proper divisors (7544138748).

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

4144121220 is a wasteful number, since it uses less digits than its factorization.

4144121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504300 (or 504298 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4144121220 is about 64374.8492813770. The cubic root of 4144121220 is about 1606.2414052339.

Adding to 4144121220 its reverse (221214414), we get a palindrome (4365335634).

The spelling of 4144121220 in words is "four billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 504151 1008302 1512453 2016604 2520755 3024906 5041510 6049812 7562265 10083020 15124530 30249060 69068687 138137374 207206061 276274748 345343435 414412122 690686870 828824244 1036030305 1381373740 2072060610 4144121220