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540330224432031 = 321117476830889931
BaseRepresentation
bin111101011011011010110111…
…1000101101011001110011111
32121212011001202101000220201200
41322312311233011223032133
51031310232244423311111
65153104140041410543
7221545366445415525
oct17266655705531637
92555131671026650
10540330224432031
11147190841348290
125072774aa99a53
131a265bc97b1c57
14976019dc24315
154270368486256
hex1eb6d6f16b39f

540330224432031 has 48 divisors (see below), whose sum is σ = 920694668594688. Its totient is φ = 301652099308800.

The previous prime is 540330224432029. The next prime is 540330224432071. The reversal of 540330224432031 is 130234422033045.

540330224432031 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 3 + 0 + 2 + 2 + 443 + 203 + 1 = 666.

It is not a de Polignac number, because 540330224432031 - 21 = 540330224432029 is a prime.

It is a super-2 number, since 2×5403302244320312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540330224432021) 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, 3415365865 + ... + 3415524066.

It is an arithmetic number, because the mean of its divisors is an integer number (19181138929056).

Almost surely, 2540330224432031 is an apocalyptic number.

540330224432031 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

540330224432031 is a deficient number, since it is larger than the sum of its proper divisors (380364444162657).

540330224432031 is a wasteful number, since it uses less digits than its factorization.

540330224432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830890012 (or 6830890009 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 540330224432031 its reverse (130234422033045), we get a palindrome (670564646465076).

The spelling of 540330224432031 in words is "five hundred forty trillion, three hundred thirty billion, two hundred twenty-four million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 3 9 11 17 33 47 51 99 141 153 187 423 517 561 799 1551 1683 2397 4653 7191 8789 26367 79101 6830889931 20492669793 61478009379 75139789241 116125128827 225419367723 321051826757 348375386481 676258103169 963155480271 1045126159443 1277376417097 2889466440813 3531570094327 3832129251291 5457881054869 10594710282981 11496387753873 16373643164607 31784130848943 49120929493821 60036691603559 180110074810677 540330224432031