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13044241123341 = 317591392692431
BaseRepresentation
bin1011110111010001100101…
…0110111100100000001101
31201012000110120222110021020
42331310121112330200031
53202204101211421331
643424235221224353
72514262312060311
oct275643126744015
951160416873236
1013044241123341
11417a03906254a
121568089b620b9
137380b35b45cc
143314b7991b41
1517949d672c96
hexbdd195bc80d

13044241123341 has 96 divisors (see below), whose sum is σ = 18976562841600. Its totient is φ = 7939855303680.

The previous prime is 13044241123337. The next prime is 13044241123343. The reversal of 13044241123341 is 14332114244031.

It is a happy number.

It is not a de Polignac number, because 13044241123341 - 22 = 13044241123337 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044241123343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30265060396 + ... + 30265060826.

It is an arithmetic number, because the mean of its divisors is an integer number (197672529600).

Almost surely, 213044241123341 is an apocalyptic number.

It is an amenable number.

13044241123341 is a deficient number, since it is larger than the sum of its proper divisors (5932321718259).

13044241123341 is a wasteful number, since it uses less digits than its factorization.

13044241123341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13044241123341 its reverse (14332114244031), we get a palindrome (27376355367372).

The spelling of 13044241123341 in words is "thirteen trillion, forty-four billion, two hundred forty-one million, one hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 3 17 51 59 139 177 269 417 431 807 1003 1293 2363 3009 4573 7089 7327 8201 13719 15871 21981 24603 25429 37391 47613 59909 72361 76287 112173 115939 139417 179727 217083 269807 347817 418251 432293 635647 809421 1018453 1230137 1296879 1906941 1970963 2206069 3055359 3534631 3690411 4269299 5912889 6618207 6840401 10058179 10603893 12807897 16115521 20521203 30174537 31187591 37503173 48346563 60088727 72578083 93562773 112509519 116286817 170989043 180266181 217734249 273963857 348860451 512967129 530189047 593432561 821891571 950815739 1590567141 1780297683 1840067869 2852447217 4335075149 5520203607 10088353537 13005225447 16163867563 30265060611 31281153773 48491602689 73696277533 93843461319 221088832599 255769433791 767308301373 4348080374447 13044241123341