Search a number
-
+
540423543033 = 34112421130973
BaseRepresentation
bin1111101110100111100…
…00001101100011111001
31220122221001020110120000
413313103300031203321
532323241411334113
61052133412023213
754021125215443
oct7672360154371
91818831213500
10540423543033
11199213001700
12888a2901b09
133bc66b958ca
141c229b63493
15e0ce8ce373
hex7dd3c0d8f9

540423543033 has 60 divisors (see below), whose sum is σ = 889476653604. Its totient is φ = 326748945600.

The previous prime is 540423542999. The next prime is 540423543053. The reversal of 540423543033 is 330345324045.

540423543033 is a `hidden beast` number, since 5 + 40 + 42 + 3 + 543 + 0 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 209921581584 + 330501961449 = 458172^2 + 574893^2 .

It is not a de Polignac number, because 540423543033 - 214 = 540423526649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540423543053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4060735 + ... + 4191707.

Almost surely, 2540423543033 is an apocalyptic number.

It is an amenable number.

540423543033 is a deficient number, since it is larger than the sum of its proper divisors (349053110571).

540423543033 is a wasteful number, since it uses less digits than its factorization.

540423543033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131428 (or 131408 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 540423543033 its reverse (330345324045), we get a palindrome (870768867078).

The spelling of 540423543033 in words is "five hundred forty billion, four hundred twenty-three million, five hundred forty-three thousand, thirty-three".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 421 891 1089 1263 3267 3789 4631 9801 11367 13893 34101 41679 50941 125037 130973 152823 375111 392919 458469 1178757 1375407 1440703 3536271 4126221 4322109 10608813 12966327 15847733 38898981 47543199 55139633 116696943 142629597 165418899 427888791 496256697 606535963 1283666373 1488770091 1819607889 4466310273 5458823667 6671895593 16376471001 20015686779 49129413003 60047060337 180141181011 540423543033