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2540127423105 = 3251791934633529
BaseRepresentation
bin100100111101101011011…
…001001000101010000001
322222211111211212212100100
4210331223121020222001
5313104140110014410
65222530214113013
7351342503564226
oct44755331105201
98884454785310
102540127423105
1189a297789178
1235036364b769
131556c0c8a28c
148ad2b16d94d
154611b8b78c0
hex24f6b648a81

2540127423105 has 96 divisors (see below), whose sum is σ = 4461300979200. Its totient is φ = 1336912625664.

The previous prime is 2540127423103. The next prime is 2540127423173. The reversal of 2540127423105 is 5013247210452.

2540127423105 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 127 + 423 + 105 = 666.

It is not a de Polignac number, because 2540127423105 - 21 = 2540127423103 is a prime.

It is a super-2 number, since 2×25401274231052 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2540127423105.

It is not an unprimeable number, because it can be changed into a prime (2540127423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719784981 + ... + 719788509.

It is an arithmetic number, because the mean of its divisors is an integer number (46471885200).

Almost surely, 22540127423105 is an apocalyptic number.

It is an amenable number.

2540127423105 is a deficient number, since it is larger than the sum of its proper divisors (1921173556095).

2540127423105 is a wasteful number, since it uses less digits than its factorization.

2540127423105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4372 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 2540127423105 in words is "two trillion, five hundred forty billion, one hundred twenty-seven million, four hundred twenty-three thousand, one hundred five".

Divisors: 1 3 5 9 15 45 179 193 463 537 579 895 965 1389 1611 1737 2315 2685 2895 3529 4167 6945 8055 8685 10587 17645 20835 31761 34547 52935 82877 89359 103641 158805 172735 248631 268077 310923 414385 446795 518205 631691 681097 745893 804231 1243155 1340385 1554615 1633927 1895073 2043291 3158455 3405485 3729465 4021155 4901781 5685219 6129873 8169635 9475365 10216455 14705343 15995261 24508905 28426095 30649365 47985783 73526715 79976305 121916363 143957349 239928915 292472933 315347911 365749089 609581815 719786745 877418799 946043733 1097247267 1462364665 1576739555 1828745445 2632256397 2838131199 4387093995 4730218665 5486236335 13161281985 14190655995 56447276069 169341828207 282236380345 508025484621 846709141035 2540127423105