Search a number
-
+
41341545531 = 371113671973
BaseRepresentation
bin100110100000001001…
…011110110000111011
310221201011102010000000
4212200021132300323
51134131413424111
630554140444043
72662324224156
oct464011366073
9127634363000
1041341545531
1116595252060
128019249623
133b8aca56a0
142002824c9d
15111e681c56
hex9a025ec3b

41341545531 has 128 divisors (see below), whose sum is σ = 73967201280. Its totient is φ = 22771393920.

The previous prime is 41341545503. The next prime is 41341545541. The reversal of 41341545531 is 13554514314.

41341545531 is a `hidden beast` number, since 4 + 13 + 41 + 54 + 553 + 1 = 666.

It is not a de Polignac number, because 41341545531 - 217 = 41341414459 is a prime.

It is a super-2 number, since 2×413415455312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41341545541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20952661 + ... + 20954633.

It is an arithmetic number, because the mean of its divisors is an integer number (577868760).

Almost surely, 241341545531 is an apocalyptic number.

41341545531 is a deficient number, since it is larger than the sum of its proper divisors (32625655749).

41341545531 is a wasteful number, since it uses less digits than its factorization.

41341545531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2067 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 41341545531 in words is "forty-one billion, three hundred forty-one million, five hundred forty-five thousand, five hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 67 81 99 117 143 201 243 297 351 429 603 729 737 871 891 1053 1287 1809 1973 2187 2211 2613 2673 3159 3861 5427 5919 6633 7839 8019 9477 9581 11583 16281 17757 19899 21703 23517 24057 25649 28431 28743 34749 48843 53271 59697 65109 70551 76947 86229 104247 132191 146529 159813 179091 195327 211653 230841 258687 282139 312741 396573 479439 537273 585981 634959 692523 776061 846417 1189719 1438317 1454101 1611819 1718483 1757943 1904877 2077569 2328183 2539251 3569157 4314951 4362303 5155449 5273829 6232707 6984549 7617753 10707471 13086909 15466347 15821487 18698121 18903313 20953647 22853259 32122413 39260727 46399041 47464461 56094363 56709939 68559777 96367239 117782181 139197123 170129817 205679331 289101717 353346543 417591369 510389451 617037993 1060039629 1252774107 1531168353 3180118887 3758322321 4593505059 13780515177 41341545531