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14454232214541 = 3721271398296719
BaseRepresentation
bin1101001001010110001101…
…1000000110110000001101
31220011210220021222021021220
43102111203120012300031
53343304231421331131
650424103235513553
73021166230436200
oct322254330066015
956153807867256
1014454232214541
11467300729a4a9
1217553b11588b9
1380b04a0a9962
1437d835081937
151a0ec39d0e96
hexd2563606c0d

14454232214541 has 96 divisors (see below), whose sum is σ = 22788734976000. Its totient is φ = 8124548842368.

The previous prime is 14454232214501. The next prime is 14454232214561. The reversal of 14454232214541 is 14541223245441.

It is not a de Polignac number, because 14454232214541 - 217 = 14454232083469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14454232214493 and 14454232214502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454232214501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2151244180 + ... + 2151250898.

It is an arithmetic number, because the mean of its divisors is an integer number (237382656000).

Almost surely, 214454232214541 is an apocalyptic number.

It is an amenable number.

14454232214541 is a deficient number, since it is larger than the sum of its proper divisors (8334502761459).

14454232214541 is a wasteful number, since it uses less digits than its factorization.

14454232214541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7831 (or 7824 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

Adding to 14454232214541 its reverse (14541223245441), we get a palindrome (28995455459982).

The spelling of 14454232214541 in words is "fourteen trillion, four hundred fifty-four billion, two hundred thirty-two million, two hundred fourteen thousand, five hundred forty-one".

Divisors: 1 3 7 21 49 127 139 147 381 417 829 889 973 2487 2667 2919 5803 6223 6719 6811 17409 17653 18669 20157 20433 40621 47033 52959 105283 115231 121863 123571 141099 315849 329231 345693 370713 736981 806617 853313 864997 933941 987693 2210943 2419851 2559939 2594991 2801823 5158867 5570051 5646319 5973191 6537587 14634337 15476601 16710153 16938957 17919573 19612761 38990357 41812337 43903011 45763109 102440359 116971071 118610507 125437011 137289327 272932499 307321077 355831521 707396477 717082513 774237089 818797497 830273549 2122189431 2151247539 2322711267 2490820647 4951775339 5419659623 5811914843 14855326017 16258978869 17435744529 34662427373 37937617361 98328110303 103987282119 113812852083 294984330909 688296772121 2064890316363 4818077404847 14454232214541