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4024442421441 = 3213375975120981
BaseRepresentation
bin111010100100000011011…
…101100000000011000001
3112020201210022102100202100
4322210003131200003001
51011414024224441231
612320445303541013
7563520302110041
oct72440335400301
915221708370670
104024442421441
111311835914672
1254bb6975a769
1323267096a0c0
14dcad9623721
156ea41c3e1e6
hex3a9037600c1

4024442421441 has 96 divisors (see below), whose sum is σ = 6547431421440. Its totient is φ = 2365536960000.

The previous prime is 4024442421379. The next prime is 4024442421451. The reversal of 4024442421441 is 1441242444204.

4024442421441 is a `hidden beast` number, since 402 + 4 + 4 + 4 + 242 + 1 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 4024442421441 - 223 = 4024434032833 is a prime.

It is a super-2 number, since 2×40244424214412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024442421396 and 4024442421405.

It is not an unprimeable number, because it can be changed into a prime (4024442421451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191803171 + ... + 191824151.

It is an arithmetic number, because the mean of its divisors is an integer number (68202410640).

Almost surely, 24024442421441 is an apocalyptic number.

It is an amenable number.

4024442421441 is a deficient number, since it is larger than the sum of its proper divisors (2522988999999).

4024442421441 is a wasteful number, since it uses less digits than its factorization.

4024442421441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21844 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4024442421441 its reverse (1441242444204), we get a palindrome (5465684865645).

The spelling of 4024442421441 in words is "four trillion, twenty-four billion, four hundred forty-two million, four hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 37 39 59 111 117 177 333 481 531 751 767 1443 2183 2253 2301 4329 6549 6759 6903 9763 19647 20981 27787 28379 29289 44309 62943 83361 85137 87867 132927 188829 250083 255411 272753 361231 398781 576017 776297 818259 1083693 1237879 1639433 1728051 2328891 2454777 3251079 3713637 4918299 5184153 6986673 10091861 11140911 14754897 15756731 16092427 21312629 30275583 45801523 47270193 48277281 63937887 90826749 137404569 141810579 144831843 191813661 204837503 412213707 582999047 595419799 614512509 929647129 1748997141 1786259397 1843537527 2788941387 5246991423 5358778191 7578987611 8366824161 12085412677 22736962833 34396943773 36256238031 68210888499 103190831319 108768714093 309572493957 447160269049 1341480807147 4024442421441