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54142411424145 = 35112768171185389
BaseRepresentation
bin11000100111110000000110…
…01100110100000110010001
321002200222000202001212212120
430103320003030310012101
524044032124311033040
6311052402550244453
714255442266520522
oct1423700314640621
9232628022055776
1054142411424145
1116284738839510
1260a51b4056729
1324297b8869195
14d5271452a849
1563d57d3bc7d0
hex313e03334191

54142411424145 has 32 divisors (see below), whose sum is σ = 94503539237760. Its totient is φ = 26250749168640.

The previous prime is 54142411424137. The next prime is 54142411424177.

54142411424145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54142411424145 - 23 = 54142411424137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54142411424097 and 54142411424106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45082111 + ... + 46267499.

It is an arithmetic number, because the mean of its divisors is an integer number (2953235601180).

Almost surely, 254142411424145 is an apocalyptic number.

54142411424145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54142411424145 is a deficient number, since it is larger than the sum of its proper divisors (40361127813615).

54142411424145 is a wasteful number, since it uses less digits than its factorization.

54142411424145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462225.

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 5414241 and 1424145, that added together give a palindrome (6838386).

The spelling of 54142411424145 in words is "fifty-four trillion, one hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 276817 830451 1185389 1384085 3044987 3556167 4152255 5926945 9134961 13039279 15224935 17780835 39117837 45674805 65196395 195589185 328135826813 984407480439 1640679134065 3609494094943 4922037402195 10828482284829 18047470474715 54142411424145