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4441421424 = 2431167223563
BaseRepresentation
bin1000010001011101…
…01011011001110000
3102110112022120210210
410020232223121300
533044000441144
62012415024120
7215030313336
oct41056533160
912415276723
104441421424
11197a080720
12a3b50b040
1355a20681b
14301c1bb56
151aedbbab9
hex108bab670

4441421424 has 160 divisors (see below), whose sum is σ = 12783181824. Its totient is φ = 1317507840.

The previous prime is 4441421423. The next prime is 4441421431. The reversal of 4441421424 is 4241241444.

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 = 4441421391 and 4441421400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441421423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7888567 + ... + 7889129.

Almost surely, 24441421424 is an apocalyptic number.

4441421424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441421424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391590912).

4441421424 is an abundant number, since it is smaller than the sum of its proper divisors (8341760400).

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

4441421424 is a wasteful number, since it uses less digits than its factorization.

4441421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4441421424 is about 66643.9901566525. The cubic root of 4441421424 is about 1643.7685278620.

Adding to 4441421424 its reverse (4241241444), we get a palindrome (8682662868).

The spelling of 4441421424 in words is "four billion, four hundred forty-one million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 223 264 268 402 446 528 536 563 669 737 804 892 1072 1126 1338 1474 1608 1689 1784 2211 2252 2453 2676 2948 3216 3378 3568 4422 4504 4906 5352 5896 6193 6756 7359 8844 9008 9812 10704 11792 12386 13512 14718 14941 17688 18579 19624 24772 27024 29436 29882 35376 37158 37721 39248 44823 49544 58872 59764 74316 75442 89646 99088 113163 117744 119528 125549 148632 150884 164351 179292 226326 239056 251098 297264 301768 328702 358584 376647 414931 452652 493053 502196 603536 657404 717168 753294 829862 905304 986106 1004392 1244793 1314808 1381039 1506588 1659724 1810608 1972212 2008784 2489586 2629616 2762078 3013176 3319448 3944424 4143117 4979172 5524156 6026352 6638896 7888848 8286234 8411783 9958344 11048312 16572468 16823566 19916688 22096624 25235349 33144936 33647132 50470698 66289872 67294264 92529613 100941396 134588528 185059226 201882792 277588839 370118452 403765584 555177678 740236904 1110355356 1480473808 2220710712 4441421424