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540442233441 = 321127292000371
BaseRepresentation
bin1111101110101001101…
…11100000101001100001
31220122222100102000222100
413313110313200221201
532323311202432231
61052135320401013
754021443121435
oct7672467405141
91818870360870
10540442233441
11199222608020
12888a9016169
133bc6aa0ac16
141c22c42a9c5
15e0d13721e6
hex7dd4de0a61

540442233441 has 24 divisors (see below), whose sum is σ = 851918427360. Its totient is φ = 327420561600.

The previous prime is 540442233403. The next prime is 540442233467. The reversal of 540442233441 is 144332244045.

540442233441 is a `hidden beast` number, since 54 + 0 + 44 + 223 + 344 + 1 = 666.

It is not a de Polignac number, because 540442233441 - 26 = 540442233377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540442233396 and 540442233405.

It is not an unprimeable number, because it can be changed into a prime (540442233341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730015 + ... + 1270356.

It is an arithmetic number, because the mean of its divisors is an integer number (35496601140).

Almost surely, 2540442233441 is an apocalyptic number.

It is an amenable number.

540442233441 is a deficient number, since it is larger than the sum of its proper divisors (311476193919).

540442233441 is a wasteful number, since it uses less digits than its factorization.

540442233441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003117 (or 2003114 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 540442233441 its reverse (144332244045), we get a palindrome (684774477486).

The spelling of 540442233441 in words is "five hundred forty billion, four hundred forty-two million, two hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 2729 8187 24561 30019 90057 270171 2000371 6001113 18003339 22004081 66012243 198036729 5459012459 16377037377 49131112131 60049137049 180147411147 540442233441