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13455407278341 = 327191011033107741
BaseRepresentation
bin1100001111001101010011…
…0001010110100100000101
31202122022202110122021022100
43003303110301112210011
53230423133230401331
644341155003022313
72556056351530140
oct303632461264405
952568673567270
1013455407278341
114318451699416
1216138b880a999
13767abb3b4452
14347360b17057
151850154cbae6
hexc3cd4c56905

13455407278341 has 96 divisors (see below), whose sum is σ = 23635733172480. Its totient is φ = 7204961664000.

The previous prime is 13455407278331. The next prime is 13455407278361. The reversal of 13455407278341 is 14387270455431.

13455407278341 is a `hidden beast` number, since 1 + 3 + 4 + 554 + 0 + 7 + 2 + 7 + 83 + 4 + 1 = 666.

It is not a de Polignac number, because 13455407278341 - 211 = 13455407276293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455407278331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124832731 + ... + 124940471.

It is an arithmetic number, because the mean of its divisors is an integer number (246205553880).

Almost surely, 213455407278341 is an apocalyptic number.

It is an amenable number.

13455407278341 is a deficient number, since it is larger than the sum of its proper divisors (10180325894139).

13455407278341 is a wasteful number, since it uses less digits than its factorization.

13455407278341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108907 (or 108904 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 13455407278341 in words is "thirteen trillion, four hundred fifty-five billion, four hundred seven million, two hundred seventy-eight thousand, three hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 101 133 171 303 399 707 909 1033 1197 1919 2121 3099 5757 6363 7231 9297 13433 17271 19627 21693 40299 58881 65079 104333 107741 120897 137389 176643 312999 323223 412167 730331 754187 938997 969669 1236501 1982327 2047079 2190993 2262561 5946981 6141237 6572979 6787683 10881841 13876289 14329553 17840943 18423711 32645523 41628867 42988659 76172887 97936569 111296453 124886601 128965977 206754979 228518661 333889359 620264937 685555983 779075171 1001668077 1447284853 1860794811 2114632607 2337225513 4341854559 6343897821 7011676539 11240941753 13025563677 14802428249 19031693463 33722825259 44407284747 78686592271 101168475777 133221854241 213577893307 236059776813 640733679921 708179330439 1495045253149 1922201039763 4485135759447 13455407278341