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13414043445132 = 22311433314971293
BaseRepresentation
bin1100001100110011001101…
…0010110110011110001100
31202111100222202021211100210
43003030303102312132030
53224233430110221012
644310154304322420
72553063333665211
oct303146322663614
952440882254323
1013414043445132
1143019559042a0
121607894013410
13763c289072b5
1434535936db08
15183de3de623c
hexc33334b678c

13414043445132 has 96 divisors (see below), whose sum is σ = 34940447942400. Its totient is φ = 3970154522880.

The previous prime is 13414043445097. The next prime is 13414043445133. The reversal of 13414043445132 is 23154434041431.

It is a happy number.

13414043445132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13414043445133) 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, 188118078 + ... + 188189370.

It is an arithmetic number, because the mean of its divisors is an integer number (363962999400).

Almost surely, 213414043445132 is an apocalyptic number.

13414043445132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13414043445132 is an abundant number, since it is smaller than the sum of its proper divisors (21526404497268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13414043445132 is a wasteful number, since it uses less digits than its factorization.

13414043445132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104503 (or 104501 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 13414043445132 its reverse (23154434041431), we get a palindrome (36568477486563).

The spelling of 13414043445132 in words is "thirteen trillion, four hundred fourteen billion, forty-three million, four hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 33149 66298 71293 99447 132596 142586 198894 213879 285172 364639 397788 427758 729278 784223 855516 1093917 1425407 1458556 1568446 2187834 2352669 2850814 3065599 3136892 4276221 4375668 4705338 5701628 6131198 8552442 9196797 9410676 12262396 15679477 17104884 18393594 31358954 33721589 36787188 47038431 62717908 67443178 94076862 101164767 134886356 188153724 202329534 404659068 2363291657 4726583314 7089874971 9453166628 14179749942 25996208227 28359499884 51992416454 77988624681 101621541251 103984832908 155977249362 203243082502 304864623753 311954498724 406486165004 609729247506 1117836953761 1219458495012 2235673907522 3353510861283 4471347815044 6707021722566 13414043445132