Search a number
-
+
4027521241344 = 28319793493783
BaseRepresentation
bin111010100110111010111…
…110010001000100000000
3112021000201212202121200010
4322212322332101010000
51011441330414210334
612322115005424520
7563656505462256
oct72467276210400
915230655677603
104027521241344
11131307581a627
1255068886b140
13232a4178a823
14dcd0c4a65d6
156eb721a20e9
hex3a9baf91100

4027521241344 has 144 divisors (see below), whose sum is σ = 11426071193600. Its totient is φ = 1255749101568.

The previous prime is 4027521241313. The next prime is 4027521241379. The reversal of 4027521241344 is 4431421257204.

It is a super-2 number, since 2×40275212413442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594124 + ... + 2899659.

Almost surely, 24027521241344 is an apocalyptic number.

It is an amenable number.

4027521241344 is an abundant number, since it is smaller than the sum of its proper divisors (7398549952256).

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

4027521241344 is a wasteful number, since it uses less digits than its factorization.

4027521241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493900 (or 3493886 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 4027521241344 its reverse (4431421257204), we get a palindrome (8458942498548).

The spelling of 4027521241344 in words is "four trillion, twenty-seven billion, five hundred twenty-one million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 608 632 768 912 948 1216 1264 1501 1824 1896 2432 2528 3002 3648 3792 4503 4864 5056 6004 7296 7584 9006 10112 12008 14592 15168 18012 20224 24016 30336 36024 48032 60672 72048 96064 144096 192128 288192 384256 576384 1152768 3493783 6987566 10481349 13975132 20962698 27950264 41925396 55900528 66381877 83850792 111801056 132763754 167701584 199145631 223602112 265527508 276008857 335403168 398291262 447204224 531055016 552017714 670806336 796582524 828026571 894408448 1062110032 1104035428 1341612672 1593165048 1656053142 2124220064 2208070856 2683225344 3186330096 3312106284 4248440128 4416141712 5244168283 6372660192 6624212568 8496880256 8832283424 10488336566 12745320384 13248425136 15732504849 16993760512 17664566848 20976673132 25490640768 26496850272 31465009698 35329133696 41953346264 50981281536 52993700544 62930019396 70658267392 83906692528 105987401088 125860038792 167813385056 211974802176 251720077584 335626770112 503440155168 671253540224 1006880310336 1342507080448 2013760620672 4027521241344