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4140441344 = 28133167599
BaseRepresentation
bin1111011011001010…
…0001111100000000
3101200112222012202102
43312302201330000
531434423110334
61522504005532
7204414112364
oct36662417400
911615865672
104140441344
111835197956
129767608a8
1350ca548c0
142b3c712a4
1519376767e
hexf6ca1f00

4140441344 has 144 divisors (see below), whose sum is σ = 9340262400. Its totient is φ = 1818685440.

The previous prime is 4140441343. The next prime is 4140441391. The reversal of 4140441344 is 4431440414.

It is a super-3 number, since 3×41404413443 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140441343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6911957 + ... + 6912555.

Almost surely, 24140441344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670131200).

4140441344 is an abundant number, since it is smaller than the sum of its proper divisors (5199821056).

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

4140441344 is a wasteful number, since it uses less digits than its factorization.

4140441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 4140441344 is about 64346.2613055335. The cubic root of 4140441344 is about 1605.7658303746.

Adding to 4140441344 its reverse (4431440414), we get a palindrome (8571881758).

The spelling of 4140441344 in words is "four billion, one hundred forty million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 67 104 124 128 134 208 248 256 268 403 416 496 536 599 806 832 871 992 1072 1198 1612 1664 1742 1984 2077 2144 2396 3224 3328 3484 3968 4154 4288 4792 6448 6968 7787 7936 8308 8576 9584 12896 13936 15574 16616 17152 18569 19168 25792 27001 27872 31148 33232 37138 38336 40133 51584 54002 55744 62296 66464 74276 76672 80266 103168 108004 111488 124592 132928 148552 153344 160532 216008 222976 241397 249184 265856 297104 321064 432016 482794 498368 521729 531712 594208 642128 864032 965588 996736 1043458 1188416 1244123 1284256 1728064 1931176 1993472 2086916 2376832 2488246 2568512 3456128 3862352 4173832 4753664 4976492 5137024 6912256 7724704 8347664 9952984 10274048 15449408 16173599 16695328 19905968 30898816 32347198 33390656 39811936 61797632 64694396 66781312 79623872 129388792 133562624 159247744 258777584 318495488 517555168 1035110336 2070220672 4140441344