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4424024241 = 3272131136829
BaseRepresentation
bin1000001111011000…
…10100000010110001
3102102022120201100200
410013230110002301
533030022233431
62010554105413
7214426404600
oct40754240261
912368521320
104424024241
11197027898a
12a3571b269
13556725030
142dd7ada37
151ad5d1ee6
hex107b140b1

4424024241 has 72 divisors (see below), whose sum is σ = 8077403880. Its totient is φ = 2312561664.

The previous prime is 4424024237. The next prime is 4424024243. The reversal of 4424024241 is 1424204244.

It can be written as a sum of positive squares in 4 ways, for example, as 50979600 + 4373044641 = 7140^2 + 66129^2 .

It is not a de Polignac number, because 4424024241 - 22 = 4424024237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4424024243) 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 71 ways as a sum of consecutive naturals, for example, 644415 + ... + 651243.

It is an arithmetic number, because the mean of its divisors is an integer number (112186165).

Almost surely, 24424024241 is an apocalyptic number.

It is an amenable number.

4424024241 is a deficient number, since it is larger than the sum of its proper divisors (3653379639).

4424024241 is a wasteful number, since it uses less digits than its factorization.

4424024241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4424024241 is about 66513.3388201194. The cubic root of 4424024241 is about 1641.6194890007.

Adding to 4424024241 its reverse (1424204244), we get a palindrome (5848228485).

The spelling of 4424024241 in words is "four billion, four hundred twenty-four million, twenty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 113 117 147 273 339 441 637 791 819 1017 1469 1911 2373 4407 5537 5733 6829 7119 10283 13221 16611 20487 30849 47803 49833 61461 71981 88777 92547 143409 215943 266331 334621 430227 621439 647829 771677 798993 1003863 1864317 2315031 3011589 4350073 5401739 5592951 6945093 10031801 13050219 16205217 30095403 37812173 39150657 48615651 70222607 90286209 113436519 210667821 340309557 491558249 632003463 1474674747 4424024241