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54143333334145 = 5112281318480829
BaseRepresentation
bin11000100111110001110100…
…01001100111110010000001
321002201001101222210202122101
430103320322021213302001
524044041021313143040
6311053034242110401
714255504162602006
oct1423707211476201
9232631358722571
1054143333334145
1116285071176100
1260a541094b401
132429904864463
14d527a0b4b8ad
1563d5d42c609a
hex313e3a267c81

54143333334145 has 24 divisors (see below), whose sum is σ = 71669652059880. Its totient is φ = 39236838009600.

The previous prime is 54143333334137. The next prime is 54143333334239.

54143333334145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19172278075456 + 34971055258689 = 4378616^2 + 5913633^2 .

It is not a de Polignac number, because 54143333334145 - 23 = 54143333334137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54143333334095 and 54143333334104.

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, 159070410 + ... + 159410419.

It is an arithmetic number, because the mean of its divisors is an integer number (2986235502495).

Almost surely, 254143333334145 is an apocalyptic number.

54143333334145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54143333334145 is a deficient number, since it is larger than the sum of its proper divisors (17526318725735).

54143333334145 is a wasteful number, since it uses less digits than its factorization.

54143333334145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318481137 (or 318481126 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

It can be divided in two parts, 5414333 and 3334145, that added together give a palindrome (8748478).

The spelling of 54143333334145 in words is "fifty-four trillion, one hundred forty-three billion, three hundred thirty-three million, three hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 5 11 55 121 281 605 1405 3091 15455 34001 170005 318480829 1592404145 3503289119 17516445595 38536180309 89493112949 192680901545 447465564745 984424242439 4922121212195 10828666666829 54143333334145