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14512311321541 = 112991574968127
BaseRepresentation
bin1101001100101110100100…
…1010010100001111000101
31220101100210221001121012221
43103023221022110033011
53400232203144242131
650510510324412341
73025323413625565
oct323135112241705
956340727047187
1014512311321541
114695700451190
1217646bb8470b1
13813674899567
1438258478cda5
151a277279a411
hexd32e92943c5

14512311321541 has 16 divisors (see below), whose sum is σ = 16379321840640. Its totient is φ = 12736685263680.

The previous prime is 14512311321509. The next prime is 14512311321583.

14512311321541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14512311321541 - 25 = 14512311321509 is a prime.

It is a super-2 number, since 2×145123113215412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14512311321497 and 14512311321506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14512311321341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437020 + ... + 5405146.

It is an arithmetic number, because the mean of its divisors is an integer number (1023707615040).

Almost surely, 214512311321541 is an apocalyptic number.

14512311321541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14512311321541 is a deficient number, since it is larger than the sum of its proper divisors (1867010519099).

14512311321541 is a wasteful number, since it uses less digits than its factorization.

14512311321541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977324.

The product of its digits is 14400, while the sum is 34.

It can be divided in two parts, 1451231 and 1321541, that added together give a palindrome (2772772).

The spelling of 14512311321541 in words is "fourteen trillion, five hundred twelve billion, three hundred eleven million, three hundred twenty-one thousand, five hundred forty-one".

Divisors: 1 11 29 319 9157 100727 265553 2921083 4968127 54649397 144075683 1584832513 45493138939 500424528329 1319301029231 14512311321541