Search a number
-
+
54303511530345 = 3571147016027299
BaseRepresentation
bin11000101100011100001011…
…00000111100101101101001
321010021100212002100012212120
430112032011200330231221
524104202042422432340
6311254404440501453
714303204432031450
oct1426160540745551
9233240762305776
1054303511530345
1116336a98629750
12611047417a889
13243ba509c2bcc
14d5a4381a9b97
1564285b7124d0
hex31638583cb69

54303511530345 has 32 divisors (see below), whose sum is σ = 108324926899200. Its totient is φ = 22567693103040.

The previous prime is 54303511530299. The next prime is 54303511530349.

54303511530345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54303511530345 - 213 = 54303511522153 is a prime.

It is a super-3 number, since 3×543035115303453 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54303511530297 and 54303511530306.

It is not an unprimeable number, because it can be changed into a prime (54303511530349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23508012495 + ... + 23508014804.

It is an arithmetic number, because the mean of its divisors is an integer number (3385153965600).

Almost surely, 254303511530345 is an apocalyptic number.

54303511530345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54303511530345 is a deficient number, since it is larger than the sum of its proper divisors (54021415368855).

54303511530345 is a wasteful number, since it uses less digits than its factorization.

54303511530345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47016027325.

The product of its (nonzero) digits is 810000, while the sum is 42.

It can be divided in two parts, 5430351 and 1530345, that added together give a palindrome (6960696).

The spelling of 54303511530345 in words is "fifty-four trillion, three hundred three billion, five hundred eleven million, five hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 47016027299 141048081897 235080136495 329112191093 517176300289 705240409485 987336573279 1551528900867 1645560955465 2585881501445 3620234102023 4936682866395 7757644504335 10860702306069 18101170510115 54303511530345