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540224422045 = 5731129472749
BaseRepresentation
bin1111101110001111110…
…00101000000010011101
31220122102011120001220121
413313013320220002131
532322334423001140
61052101540114541
754013156552000
oct7670770500235
91818364501817
10540224422045
1119912066a100
1288848095a51
133bc34858739
141c20b52d537
15e0bc19a64a
hex7dc7e2809d

540224422045 has 96 divisors (see below), whose sum is σ = 832154400000. Its totient is φ = 336285290880.

The previous prime is 540224422037. The next prime is 540224422057.

It is a happy number.

540224422045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540224422045 - 23 = 540224422037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540224422045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196515331 + ... + 196518079.

It is an arithmetic number, because the mean of its divisors is an integer number (8668275000).

Almost surely, 2540224422045 is an apocalyptic number.

540224422045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540224422045 is a deficient number, since it is larger than the sum of its proper divisors (291929977955).

540224422045 is a wasteful number, since it uses less digits than its factorization.

540224422045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

It can be divided in two parts, 540224 and 422045, that added together give a palindrome (962269).

The spelling of 540224422045 in words is "five hundred forty billion, two hundred twenty-four million, four hundred twenty-two thousand, forty-five".

Divisors: 1 5 7 11 35 49 55 77 121 245 343 385 539 605 847 947 1715 2695 2749 3773 4235 4735 5929 6629 10417 13745 18865 19243 29645 30239 33145 41503 46403 52085 72919 96215 114587 134701 151195 207515 211673 232015 324821 332629 364595 510433 572935 673505 802109 942907 1058365 1481711 1624105 1663145 2328403 2552165 2603303 3573031 4010545 4714535 5614763 7408555 10371977 11642015 13016515 16298821 17865155 18223121 28073815 28636333 39303341 51859885 81494105 91115605 114091747 127561847 143181665 196516705 200454331 314999663 570458735 637809235 892932929 1002271655 1403180317 1574998315 2204997641 4464664645 7015901585 9822262219 11024988205 15434983487 49111311095 77174917435 108044884409 540224422045