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540303051145 = 511138310618581
BaseRepresentation
bin1111101110011001001…
…00100100100110001001
31220122121122111211202111
413313030210210212021
532323020040114040
61052113425302321
754015133105234
oct7671444444611
91818548454674
10540303051145
11199160a94330
128886a4949a1
133bc47c28b30
141c217b5a41b
15e0c402cdea
hex7dcc924989

540303051145 has 64 divisors (see below), whose sum is σ = 771707720448. Its totient is φ = 357971328000.

The previous prime is 540303051131. The next prime is 540303051163. The reversal of 540303051145 is 541150303045.

It is not a de Polignac number, because 540303051145 - 213 = 540303042953 is a prime.

It is a super-2 number, since 2×5403030511452 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62960755 + ... + 62969335.

It is an arithmetic number, because the mean of its divisors is an integer number (12057933132).

Almost surely, 2540303051145 is an apocalyptic number.

540303051145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540303051145 is a deficient number, since it is larger than the sum of its proper divisors (231404669303).

540303051145 is a wasteful number, since it uses less digits than its factorization.

540303051145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754.

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 540303051145 in words is "five hundred forty billion, three hundred three million, fifty-one thousand, one hundred forty-five".

Divisors: 1 5 11 13 55 65 83 143 415 715 913 1061 1079 4565 5305 5395 8581 11671 11869 13793 42905 58355 59345 68965 88063 94391 111553 151723 440315 471955 557765 712223 758615 968693 1144819 1227083 3561115 4843465 5724095 6135415 7834453 9104441 9258899 12593009 39172265 45522205 46294495 62965045 100148851 101847889 118357733 500744255 509239445 591788665 755668603 1301935063 3778343015 6509675315 8312354633 9823691839 41561773165 49118459195 108060610229 540303051145