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13240400141441 = 11192322912027947
BaseRepresentation
bin1100000010101100010101…
…0110001101110010000001
31201212202210020210001010202
43000223011112031302001
53213412314414011231
644054320021534545
72534405313160334
oct300530526156201
951782706701122
1013240400141441
114245249781140
12159a0b3274455
13750744c1a915
1433aba58b461b
1517e62e7d35cb
hexc0ac558dc81

13240400141441 has 32 divisors (see below), whose sum is σ = 15934625510400. Its totient is φ = 10859791884480.

The previous prime is 13240400141417. The next prime is 13240400141537. The reversal of 13240400141441 is 14414100404231.

It is a happy number.

It is not a de Polignac number, because 13240400141441 - 234 = 13223220272257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13240400141141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4913171 + ... + 7114776.

It is an arithmetic number, because the mean of its divisors is an integer number (497957047200).

Almost surely, 213240400141441 is an apocalyptic number.

13240400141441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13240400141441 is a deficient number, since it is larger than the sum of its proper divisors (2694225368959).

13240400141441 is a wasteful number, since it uses less digits than its factorization.

13240400141441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12028229.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 13240400141441 its reverse (14414100404231), we get a palindrome (27654500545672).

The spelling of 13240400141441 in words is "thirteen trillion, two hundred forty billion, four hundred million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 11 19 23 209 229 253 437 2519 4351 4807 5267 47861 57937 100073 1100803 12027947 132307417 228530993 276642781 2513840923 2754399863 3043070591 5256212839 30298398493 52333597397 57818341229 63351196849 575669571367 696863165339 1203672740131 13240400141441