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13115142351441 = 3213313615975283
BaseRepresentation
bin1011111011011001101101…
…1001101010101001010001
31201102210110211011000200100
42332312123121222221101
53204334302420221231
643521002504443013
72522352311422164
oct276663331525121
951383424130610
1013115142351441
1141a7111a45629
121579976779469
137419a2665610
14334ac2163adb
1517b24ce541e6
hexbed9b66aa51

13115142351441 has 24 divisors (see below), whose sum is σ = 21059440054016. Its totient is φ = 7810506609120.

The previous prime is 13115142351407. The next prime is 13115142351461. The reversal of 13115142351441 is 14415324151131.

13115142351441 is a `hidden beast` number, since 1 + 3 + 11 + 51 + 42 + 3 + 514 + 41 = 666.

It is not a de Polignac number, because 13115142351441 - 233 = 13106552416849 is a prime.

It is a super-2 number, since 2×131151423514412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13115142351396 and 13115142351405.

It is not an unprimeable number, because it can be changed into a prime (13115142351461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807984015 + ... + 1807991268.

Almost surely, 213115142351441 is an apocalyptic number.

It is an amenable number.

13115142351441 is a deficient number, since it is larger than the sum of its proper divisors (7944297702575).

13115142351441 is a wasteful number, since it uses less digits than its factorization.

13115142351441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615975333 (or 3615975330 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 13115142351441 in words is "thirteen trillion, one hundred fifteen billion, one hundred forty-two million, three hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 3615975283 10847925849 32543777547 47007678679 112095233773 141023036037 336285701319 423069108111 1008857103957 1457238039049 4371714117147 13115142351441