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540204235155441 = 32267372244929977
BaseRepresentation
bin111101011010100000001100…
…1100010101110011111110001
32121211201000112221222112022100
41322311000121202232133301
51031301201233144433231
65152530222154131013
7221533316352266403
oct17265003142563761
92554630487875270
10540204235155441
11147142369716aaa
1250707249420a69
131a25706b814a4c
14975804b2a0b73
15426be427b51e6
hex1eb50198ae7f1

540204235155441 has 12 divisors (see below), whose sum is σ = 780324190772932. Its totient is φ = 360122687030016.

The previous prime is 540204235155437. The next prime is 540204235155553. The reversal of 540204235155441 is 144551532402045.

540204235155441 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 0 + 4 + 2 + 3 + 51 + 554 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373564432674225 + 166639802481216 = 19327815^2 + 12908904^2 .

It is not a de Polignac number, because 540204235155441 - 22 = 540204235155437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540204235155421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1122224356 + ... + 1122705621.

Almost surely, 2540204235155441 is an apocalyptic number.

It is an amenable number.

540204235155441 is a deficient number, since it is larger than the sum of its proper divisors (240119955617491).

540204235155441 is a wasteful number, since it uses less digits than its factorization.

540204235155441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244956720 (or 2244956717 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 540204235155441 its reverse (144551532402045), we get a palindrome (684755767557486).

The spelling of 540204235155441 in words is "five hundred forty trillion, two hundred four billion, two hundred thirty-five million, one hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 9 26737 80211 240633 2244929977 6734789931 20204369793 60022692795049 180068078385147 540204235155441