Search a number
-
+
41034306425508 = 2232111273972055217
BaseRepresentation
bin10010101010010000010110…
…10000100001001010100100
312101021211201100221102101200
421111020023100201022210
520334301224421104013
6223134522232322500
711433426236436024
oct1125101320411244
9171254640842350
1041034306425508
1112090608240240
124728882243430
1319b8698187466
14a1c0dcc87a84
154b25e31aee73
hex25520b4212a4

41034306425508 has 144 divisors (see below), whose sum is σ = 114333520164864. Its totient is φ = 12305646904320.

The previous prime is 41034306425507. The next prime is 41034306425527. The reversal of 41034306425508 is 80552460343014.

41034306425508 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 4 + 30 + 64 + 2 + 550 + 8 = 666.

41034306425508 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41034306425507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18938316 + ... + 20993532.

Almost surely, 241034306425508 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 41034306425508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57166760082432).

41034306425508 is an abundant number, since it is smaller than the sum of its proper divisors (73299213739356).

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

41034306425508 is a wasteful number, since it uses less digits than its factorization.

41034306425508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055762 (or 2055757 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 41034306425508 in words is "forty-one trillion, thirty-four billion, three hundred six million, four hundred twenty-five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 397 508 762 794 1143 1191 1397 1524 1588 2286 2382 2794 3573 4191 4367 4572 4764 5588 7146 8382 8734 12573 13101 14292 16764 17468 25146 26202 39303 50292 50419 52404 78606 100838 151257 157212 201676 302514 453771 554609 605028 907542 1109218 1663827 1815084 2055217 2218436 3327654 4110434 4991481 6165651 6655308 8220868 9982962 12331302 18496953 19965924 22607387 24662604 36993906 45214774 67822161 73987812 90429548 135644322 203466483 261012559 271288644 406932966 522025118 783037677 813865932 815921149 1044050236 1566075354 1631842298 2349113031 2447763447 2871138149 3132150708 3263684596 4698226062 4895526894 5742276298 7343290341 8613414447 8975132639 9396452124 9791053788 11484552596 14686580682 17226828894 17950265278 25840243341 26925397917 29373161364 34453657788 35900530556 51680486682 53850795834 80776193751 103360973364 103621985923 107701591668 161552387502 207243971846 310865957769 323104775004 414487943692 621731915538 932597873307 1139841845153 1243463831076 1865195746614 2279683690306 3419525535459 3730391493228 4559367380612 6839051070918 10258576606377 13678102141836 20517153212754 41034306425508