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540042322323 = 37674435211663
BaseRepresentation
bin1111101101111010000…
…01111110000110010011
31220121221110220110001110
413312331001332012103
532322001313303243
61052031513104403
754005516000010
oct7667501760623
91817843813043
10540042322323
111990378a2969
12887b70b8103
133bc05bcac1a
141c1d128a707
15e0ab1c9e33
hex7dbd07e193

540042322323 has 64 divisors (see below), whose sum is σ = 839200407552. Its totient is φ = 302539311360.

The previous prime is 540042322291. The next prime is 540042322349. The reversal of 540042322323 is 323223240045.

It is a happy number.

It is not a de Polignac number, because 540042322323 - 25 = 540042322291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540042322423) 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 63 ways as a sum of consecutive naturals, for example, 324738990 + ... + 324740652.

It is an arithmetic number, because the mean of its divisors is an integer number (13112506368).

Almost surely, 2540042322323 is an apocalyptic number.

540042322323 is a deficient number, since it is larger than the sum of its proper divisors (299158085229).

540042322323 is a wasteful number, since it uses less digits than its factorization.

540042322323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704.

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 540042322323 its reverse (323223240045), we get a palindrome (863265562368).

The spelling of 540042322323 in words is "five hundred forty billion, forty-two million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 21 67 201 443 469 521 1329 1407 1563 1663 3101 3647 4989 9303 10941 11641 29681 34907 34923 89043 104721 111421 207767 230803 244349 334263 623301 692409 733047 736709 779947 866423 1615621 2210127 2339841 2599269 4846863 5156963 6064961 15463801 15470889 18194883 46391403 49359503 58050341 108246607 148078509 174151023 324739821 345516521 383825389 406352387 1036549563 1151476167 1219057161 2686777723 8060333169 25716301063 77148903189 180014107441 540042322323