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540241232405553 = 357478189664177
BaseRepresentation
bin111101011010110001011011…
…0110000000010010000110001
32121211211120001100211120100000
41322311202312300002100301
51031302303020443434203
65152555221305420213
7221536066235602350
oct17265426660022061
92554746040746300
10540241232405553
111471570246a6668
125071245379a669
131a25a6b675c213
149759b5ab4b997
15426cdaa8634a3
hex1eb58b6c02431

540241232405553 has 48 divisors (see below), whose sum is σ = 924860745011840. Its totient is φ = 308708165281536.

The previous prime is 540241232405549. The next prime is 540241232405593. The reversal of 540241232405553 is 355504232142045.

540241232405553 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 4 + 1 + 232 + 405 + 5 + 5 + 3 = 666.

It is not a de Polignac number, because 540241232405553 - 22 = 540241232405549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540241232405499 and 540241232405508.

It is not an unprimeable number, because it can be changed into a prime (540241232405593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813067401 + ... + 813731577.

Almost surely, 2540241232405553 is an apocalyptic number.

It is an amenable number.

540241232405553 is a deficient number, since it is larger than the sum of its proper divisors (384619512606287).

540241232405553 is an equidigital number, since it uses as much as digits as its factorization.

540241232405553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142388 (or 1142376 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 540241232405553 its reverse (355504232142045), we get a palindrome (895745464547598).

The spelling of 540241232405553 in words is "five hundred forty trillion, two hundred forty-one billion, two hundred thirty-two million, four hundred five thousand, five hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 478189 664177 1434567 1992531 3347323 4303701 4649239 5977593 10041969 12911103 13947717 17932779 30125907 38733309 41843151 53798337 90377721 116199927 125529453 161395011 271133163 376588359 813399489 1129765077 317602135453 952806406359 2223214948171 2858419219077 6669644844513 8575257657231 20008934533539 25725772971693 60026803600617 77177318915079 180080410801851 540241232405553