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13141341431451 = 331727921318223
BaseRepresentation
bin1011111100111011010011…
…1111001110011010011011
31201112022002200100012001000
42333032310333032122123
53210301431401301301
643541014322000043
72524300456060512
oct277166477163233
951468080305030
1013141341431451
11420723670a172
121582a687a6023
137442b943061c
1433608987b679
1517bc8302e786
hexbf3b4fce69b

13141341431451 has 48 divisors (see below), whose sum is σ = 20943023257600. Its totient is φ = 8141173163136.

The previous prime is 13141341431423. The next prime is 13141341431453. The reversal of 13141341431451 is 15413414314131.

13141341431451 is a `hidden beast` number, since 1 + 3 + 141 + 3 + 41 + 431 + 45 + 1 = 666.

It is not a de Polignac number, because 13141341431451 - 217 = 13141341300379 is a prime.

It is a super-3 number, since 3×131413414314513 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13141341431453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10042675 + ... + 11275548.

Almost surely, 213141341431451 is an apocalyptic number.

13141341431451 is a deficient number, since it is larger than the sum of its proper divisors (7801681826149).

13141341431451 is a wasteful number, since it uses less digits than its factorization.

13141341431451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21318345 (or 21318322 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 13141341431451 its reverse (15413414314131), we get a palindrome (28554755745582).

The spelling of 13141341431451 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-one million, four hundred thirty-one thousand, four hundred fifty-one".

Divisors: 1 3 9 17 27 51 79 153 237 289 459 711 867 1343 2133 2601 4029 7803 12087 22831 36261 68493 205479 616437 21318223 63954669 191864007 362409791 575592021 1087229373 1684139617 3261688119 5052418851 6160966447 9785064357 15157256553 18482899341 28630373489 45471769659 55448698023 85891120467 166346094069 257673361401 486716349313 773020084203 1460149047939 4380447143817 13141341431451