Search a number
-
+
14133450540501 = 32233126910617717
BaseRepresentation
bin1100110110101011001101…
…0011001000010111010101
31212001010220110122211002200
43031222303103020113111
53323030301314244001
650020452331155113
72656052036260545
oct315526323102725
955033813584080
1014133450540501
114559a6540a986
1217031a7ba5a99
137b6a17968a06
1436c0c3cdd325
1519799bb4e086
hexcdab34c85d5

14133450540501 has 96 divisors (see below), whose sum is σ = 22095184250880. Its totient is φ = 8680166668800.

The previous prime is 14133450540437. The next prime is 14133450540511. The reversal of 14133450540501 is 10504505433141.

14133450540501 is a `hidden beast` number, since 1 + 4 + 13 + 3 + 4 + 50 + 540 + 50 + 1 = 666.

It is not a de Polignac number, because 14133450540501 - 26 = 14133450540437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133450540511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1831465695 + ... + 1831473411.

It is an arithmetic number, because the mean of its divisors is an integer number (230158169280).

Almost surely, 214133450540501 is an apocalyptic number.

It is an amenable number.

14133450540501 is a deficient number, since it is larger than the sum of its proper divisors (7961733710379).

14133450540501 is a wasteful number, since it uses less digits than its factorization.

14133450540501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 14133450540501 its reverse (10504505433141), we get a palindrome (24637955973642).

The spelling of 14133450540501 in words is "fourteen trillion, one hundred thirty-three billion, four hundred fifty million, five hundred forty thousand, five hundred one".

Divisors: 1 3 9 23 31 69 93 207 269 279 713 807 1061 2139 2421 3183 6187 6417 7717 8339 9549 18561 23151 24403 25017 32891 55683 69453 73209 75051 98673 177491 191797 219627 239227 285409 296019 532473 575391 717681 756493 856227 1597419 1726173 2075873 2153043 2269479 2568681 5502221 6227619 6564407 6808437 8187737 8847679 16506663 18682857 19693221 24563211 26543037 47745079 49519989 59079663 64352063 73689633 79629111 143235237 188317951 193056189 203496617 253819847 429705711 564953853 579168567 610489851 761459541 1480097449 1694861559 1831469553 2202501253 2284378623 4440292347 5837856481 6607503759 13320877041 17513569443 19822511277 50657528819 52540708329 68277538843 151972586457 204832616529 455917759371 614497849587 1570383393389 4711150180167 14133450540501