Search a number
-
+
14530233203541 = 32119831117133669
BaseRepresentation
bin1101001101110001010101…
…1000110111101101010101
31220110002001221020112111100
43103130111120313231111
53401030404200003131
650523032540500313
73026526503253456
oct323342530675525
956402057215440
1014530233203541
1146a2267928410
12176808184a699
1381526c878273
143833a4a8312d
151a2e70d727e6
hexd3715637b55

14530233203541 has 48 divisors (see below), whose sum is σ = 22940107482240. Its totient is φ = 8789301912960.

The previous prime is 14530233203489. The next prime is 14530233203561.

14530233203541 is a `hidden beast` number, since 1 + 4 + 53 + 0 + 233 + 20 + 354 + 1 = 666.

14530233203541 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14530233203541 - 27 = 14530233203413 is a prime.

It is a super-2 number, since 2×145302332035412 (a number of 27 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 = 14530233203496 and 14530233203505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530233203561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108636255 + ... + 108769923.

It is an arithmetic number, because the mean of its divisors is an integer number (477918905880).

Almost surely, 214530233203541 is an apocalyptic number.

14530233203541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14530233203541 is a deficient number, since it is larger than the sum of its proper divisors (8409874278699).

14530233203541 is a wasteful number, since it uses less digits than its factorization.

14530233203541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135786 (or 135783 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 1453023 and 3203541, that added together give a palindrome (4656564).

The spelling of 14530233203541 in words is "fourteen trillion, five hundred thirty billion, two hundred thirty-three million, two hundred three thousand, five hundred forty-one".

Divisors: 1 3 9 11 33 99 983 1117 2949 3351 8847 10053 10813 12287 32439 36861 97317 110583 133669 401007 1098011 1203021 1470359 3294033 4411077 9882099 12078121 13233231 36234363 108703089 131396627 149308273 394189881 447924819 1182569643 1343774457 1445362897 1642391003 4336088691 4927173009 13008266073 14781519027 146770032359 440310097077 1320930291231 1614470355949 4843411067847 14530233203541