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540541145045 = 51123427305253
BaseRepresentation
bin1111101110110101100…
…00110100111111010101
31220200020020112021012002
413313122300310333111
532324012013120140
61052153212405045
754024053631446
oct7673260647725
91820206467162
10540541145045
11199273425850
1288916176785
133bc853601b5
141c23b6172cd
15e0d9dae415
hex7ddac34fd5

540541145045 has 16 divisors (see below), whose sum is σ = 738383478912. Its totient is φ = 376028621760.

The previous prime is 540541144991. The next prime is 540541145063.

540541145045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540541145045 - 212 = 540541140949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213651362 + ... + 213653891.

It is an arithmetic number, because the mean of its divisors is an integer number (46148967432).

Almost surely, 2540541145045 is an apocalyptic number.

540541145045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540541145045 is a deficient number, since it is larger than the sum of its proper divisors (197842333867).

540541145045 is a wasteful number, since it uses less digits than its factorization.

540541145045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427305292.

The product of its (nonzero) digits is 160000, while the sum is 38.

It can be divided in two parts, 540541 and 145045, that added together give a palindrome (685586).

The spelling of 540541145045 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty-five thousand, forty-five".

Divisors: 1 5 11 23 55 115 253 1265 427305253 2136526265 4700357783 9828020819 23501788915 49140104095 108108229009 540541145045