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540052134240015 = 325151793931001069
BaseRepresentation
bin111101011001011001010111…
…1100111110001111100001111
32121211011110221210021110021100
41322302302233213301330033
51031241203232331140030
65152332305255434143
7221516323222656315
oct17262625747617417
92554143853243240
10540052134240015
11147093907715011
12506a187b085953
131a24590bc16b87
14975093c8a60b5
154267ede53c360
hex1eb2caf9f1f0f

540052134240015 has 48 divisors (see below), whose sum is σ = 942302449932480. Its totient is φ = 286116446361600.

The previous prime is 540052134239999. The next prime is 540052134240067. The reversal of 540052134240015 is 510042431250045.

540052134240015 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 5 + 213 + 424 + 0 + 0 + 15 = 666.

It is not a de Polignac number, because 540052134240015 - 24 = 540052134239999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538974901 + ... + 539975969.

It is an arithmetic number, because the mean of its divisors is an integer number (19631301040260).

Almost surely, 2540052134240015 is an apocalyptic number.

540052134240015 is a deficient number, since it is larger than the sum of its proper divisors (402250315692465).

540052134240015 is a wasteful number, since it uses less digits than its factorization.

540052134240015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080624 (or 1080621 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 540052134240015 in words is "five hundred forty trillion, fifty-two billion, one hundred thirty-four million, two hundred forty thousand, fifteen".

Divisors: 1 3 5 9 15 45 151 453 755 1359 2265 6795 79393 238179 396965 714537 1001069 1190895 3003207 3572685 5005345 9009621 11988343 15016035 35965029 45048105 59941715 107895087 151161419 179825145 453484257 539475435 755807095 1360452771 2267421285 6802263855 79477871117 238433613351 397389355585 715300840053 1192168066755 3576504200265 12001158538667 36003475616001 60005792693335 108010426848003 180017378080005 540052134240015