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13140314144523 = 337934937394721
BaseRepresentation
bin1011111100110111011111…
…0000011011111100001011
31201112012110002022121022000
42333031313300123330023
53210242330410111043
643540324343402043
72524233143221056
oct277156760337413
951465402277260
1013140314144523
114206859849305
121582820753323
1374418465b337
14335dcd269a9d
1517bc22c5d2d3
hexbf377c1bf0b

13140314144523 has 64 divisors (see below), whose sum is σ = 19779513600000. Its totient is φ = 8620404549120.

The previous prime is 13140314144479. The next prime is 13140314144533. The reversal of 13140314144523 is 32544141304131.

13140314144523 is a `hidden beast` number, since 1 + 3 + 140 + 31 + 41 + 445 + 2 + 3 = 666.

It is not a de Polignac number, because 13140314144523 - 29 = 13140314144011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13140314144533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2783372803 + ... + 2783377523.

It is an arithmetic number, because the mean of its divisors is an integer number (309054900000).

Almost surely, 213140314144523 is an apocalyptic number.

13140314144523 is a deficient number, since it is larger than the sum of its proper divisors (6639199455477).

13140314144523 is a wasteful number, since it uses less digits than its factorization.

13140314144523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13140314144523 its reverse (32544141304131), we get a palindrome (45684455448654).

The spelling of 13140314144523 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, one hundred forty-four thousand, five hundred twenty-three".

Divisors: 1 3 9 27 79 237 349 711 1047 2133 3141 3739 4721 9423 11217 14163 27571 33651 42489 82713 100953 127467 248139 295381 372959 744417 886143 1118877 1304911 1647629 2658429 3356631 3914733 4942887 7975287 10069893 11744199 14828661 17651819 35232597 44485983 52955457 103087969 130162691 158866371 309263907 390488073 476599113 927791721 1171464219 1394493701 2783375163 3514392657 4183481103 6160484831 12550443309 18481454493 37651329927 55444363479 166333090437 486678301649 1460034904947 4380104714841 13140314144523