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4032043213242 = 231110315712233089
BaseRepresentation
bin111010101011001000100…
…000001110000110111010
3112021110102000122120221210
4322223020200032012322
51012030111030310432
612324143423143550
7564206534553642
oct72531040160672
915243360576853
104032043213242
111314a86307a90
1255152b144bb6
132332b2588145
14dd21ac91522
156ed391808cc
hex3aac880e1ba

4032043213242 has 128 divisors (see below), whose sum is σ = 8949377249280. Its totient is φ = 1200890096640.

The previous prime is 4032043213199. The next prime is 4032043213267. The reversal of 4032043213242 is 2423123402304.

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 63 ways as a sum of consecutive naturals, for example, 1305289234 + ... + 1305292322.

It is an arithmetic number, because the mean of its divisors is an integer number (69917009760).

Almost surely, 24032043213242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032043213242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474688624640).

4032043213242 is an abundant number, since it is smaller than the sum of its proper divisors (4917334036038).

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

4032043213242 is a wasteful number, since it uses less digits than its factorization.

4032043213242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4032043213242 its reverse (2423123402304), we get a palindrome (6455166615546).

The spelling of 4032043213242 in words is "four trillion, thirty-two billion, forty-three million, two hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 103 157 206 309 314 471 618 942 1133 1223 1727 2266 2446 3089 3399 3454 3669 5181 6178 6798 7338 9267 10362 13453 16171 18534 26906 32342 33979 40359 48513 67958 80718 97026 101937 125969 177881 192011 203874 251938 318167 355762 377907 384022 484973 533643 576033 636334 755814 954501 969946 1067286 1152066 1385659 1454919 1909002 2112121 2771318 2909838 3499837 3777847 4156977 4224242 5334703 6336363 6999674 7555694 8313954 10499511 10669406 11333541 12672726 16004109 19777133 20999022 22667082 32008218 39554266 41556317 49952219 59331399 83112634 99904438 118662798 124668951 149856657 217548463 249337902 299713314 389118241 435096926 549474409 593121979 652645389 778236482 1098948818 1167354723 1186243958 1305290778 1648423227 1779365937 2334709446 3296846454 3558731874 4280300651 6524341769 8560601302 12840901953 13048683538 19573025307 25681803906 39146050614 61091563837 122183127674 183274691511 366549383022 672007202207 1344014404414 2016021606621 4032043213242