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4241144224 = 251731251491
BaseRepresentation
bin1111110011001010…
…1011100110100000
3101221120110110010201
43330302223212200
532141213103344
61540502234544
7210046062652
oct37462534640
911846413121
104241144224
111887019479
129a4425a54
135278832c5
142c33a66d2
1519c50a4d4
hexfccab9a0

4241144224 has 48 divisors (see below), whose sum is σ = 9126141696. Its totient is φ = 1931443200.

The previous prime is 4241144189. The next prime is 4241144267. The reversal of 4241144224 is 4224411424.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4241144192 and 4241144201.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 108882 + ... + 142609.

It is an arithmetic number, because the mean of its divisors is an integer number (190127952).

Almost surely, 24241144224 is an apocalyptic number.

It is an amenable number.

4241144224 is an abundant number, since it is smaller than the sum of its proper divisors (4884997472).

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

4241144224 is a wasteful number, since it uses less digits than its factorization.

4241144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251549 (or 251541 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 4241144224 is about 65124.0679319098. The cubic root of 4241144224 is about 1618.6800486282.

Adding to 4241144224 its reverse (4224411424), we get a palindrome (8465555648).

The spelling of 4241144224 in words is "four billion, two hundred forty-one million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 8432 16864 251491 502982 1005964 2011928 4023856 4275347 7796221 8047712 8550694 15592442 17101388 31184884 34202776 62369768 68405552 124739536 132535757 136811104 249479072 265071514 530143028 1060286056 2120572112 4241144224