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540023534144532 = 2232171549569652289
BaseRepresentation
bin111101011001001100000011…
…0111011000100110000010100
32121211001202010121011001212200
41322302120012323010300110
51031240221144220111112
65152311215312244500
7221514261412114614
oct17262300673046024
92554052117131780
10540023534144532
11147082770704a69
1250698218b40730
131a243001898c59
14974d3c8346a44
1542673b8789cdc
hex1eb2606ec4c14

540023534144532 has 72 divisors (see below), whose sum is σ = 1446290199081000. Its totient is φ = 169309774430208.

The previous prime is 540023534144519. The next prime is 540023534144587. The reversal of 540023534144532 is 235441435320045.

540023534144532 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 2 + 35 + 3 + 41 + 44 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11828963334276 + 528194570810256 = 3439326^2 + 22982484^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283878157 + ... + 285774132.

It is an arithmetic number, because the mean of its divisors is an integer number (20087363876125).

Almost surely, 2540023534144532 is an apocalyptic number.

It is an amenable number.

540023534144532 is an abundant number, since it is smaller than the sum of its proper divisors (906266664936468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540023534144532 is a wasteful number, since it uses less digits than its factorization.

540023534144532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569653865 (or 569653860 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 540023534144532 its reverse (235441435320045), we get a palindrome (775464969464577).

The spelling of 540023534144532 in words is "five hundred forty trillion, twenty-three billion, five hundred thirty-four million, one hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1549 3098 4647 6196 9294 13941 18588 26333 27882 52666 55764 78999 105332 157998 236997 315996 473994 947988 569652289 1139304578 1708956867 2278609156 3417913734 5126870601 6835827468 9684088913 10253741202 19368177826 20507482404 29052266739 38736355652 58104533478 87156800217 116209066956 174313600434 348627200868 882391395661 1764782791322 2647174186983 3529565582644 5294348373966 7941522560949 10588696747932 15000653726237 15883045121898 30001307452474 31766090243796 45001961178711 60002614904948 90003922357422 135005883536133 180007844714844 270011767072266 540023534144532