Search a number
-
+
5540021344 = 2511131378837
BaseRepresentation
bin1010010100011011…
…00000010001100000
3112022002112020120201
411022031200101200
542321221140334
62313421514544
7254200255504
oct51215402140
915262466521
105540021344
11239321a040
1210a7412a54
136a39b7150
143a7ab4304
15226577c14
hex14a360460

5540021344 has 96 divisors (see below), whose sum is σ = 12908712096. Its totient is φ = 2307256320.

The previous prime is 5540021323. The next prime is 5540021363. The reversal of 5540021344 is 4431200455.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622494 + ... + 631330.

It is an arithmetic number, because the mean of its divisors is an integer number (134465751).

Almost surely, 25540021344 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 5540021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454356048).

5540021344 is an abundant number, since it is smaller than the sum of its proper divisors (7368690752).

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

5540021344 is a wasteful number, since it uses less digits than its factorization.

5540021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9008 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 5540021344 is about 74431.3196443540. The cubic root of 5540021344 is about 1769.4453180154.

Adding to 5540021344 its reverse (4431200455), we get a palindrome (9971221799).

The spelling of 5540021344 in words is "five billion, five hundred forty million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 137 143 176 208 274 286 352 416 548 572 1096 1144 1507 1781 2192 2288 3014 3562 4384 4576 6028 7124 8837 12056 14248 17674 19591 24112 28496 35348 39182 48224 56992 70696 78364 97207 114881 141392 156728 194414 229762 282784 313456 388828 459524 626912 777656 919048 1210669 1263691 1555312 1838096 2421338 2527382 3110624 3676192 4842676 5054764 9685352 10109528 13317359 15738697 19370704 20219056 26634718 31477394 38741408 40438112 53269436 62954788 106538872 125909576 173125667 213077744 251819152 346251334 426155488 503638304 692502668 1385005336 2770010672 5540021344