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54142322324145 = 3511328135286813
BaseRepresentation
bin11000100111101111111011…
…11000111011001010110001
321002200221210112102010122120
430103313331320323022301
524044031434003333040
6311052350044424453
714255440135263666
oct1423677570731261
9232627715363576
1054142322324145
11162846a2512350
1260a518a248129
1324297a3270aa3
14d52706775a6d
1563d57566c7d0
hex313dfde3b2b1

54142322324145 has 16 divisors (see below), whose sum is σ = 94502962602432. Its totient is φ = 26250822944960.

The previous prime is 54142322324107. The next prime is 54142322324161.

54142322324145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54142322324145 - 26 = 54142322324081 is a prime.

It is a super-2 number, since 2×541423223241452 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54142322324097 and 54142322324106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164067643242 + ... + 164067643571.

It is an arithmetic number, because the mean of its divisors is an integer number (5906435162652).

Almost surely, 254142322324145 is an apocalyptic number.

54142322324145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54142322324145 is a deficient number, since it is larger than the sum of its proper divisors (40360640278287).

54142322324145 is a wasteful number, since it uses less digits than its factorization.

54142322324145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328135286832.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 5414232 and 2324145, that added together give a palindrome (7738377).

The spelling of 54142322324145 in words is "fifty-four trillion, one hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 328135286813 984405860439 1640676434065 3609488154943 4922029302195 10828464464829 18047440774715 54142322324145