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45444540141 = 327111347910531
BaseRepresentation
bin101010010100101101…
…001010011011101101
311100022002220211111100
4222110231022123231
51221032300241031
632513230113313
73166105134450
oct522455123355
9140262824440
1045444540141
11183002926a0
12898334b839
134393048950
1422b1709497
1512ae99dde6
hexa94b4a6ed

45444540141 has 96 divisors (see below), whose sum is σ = 88327249920. Its totient is φ = 21744028800.

The previous prime is 45444540101. The next prime is 45444540143. The reversal of 45444540141 is 14104544454.

It is not a de Polignac number, because 45444540141 - 235 = 11084801773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45444540096 and 45444540105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444540143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4310046 + ... + 4320576.

It is an arithmetic number, because the mean of its divisors is an integer number (920075520).

Almost surely, 245444540141 is an apocalyptic number.

It is an amenable number.

45444540141 is a deficient number, since it is larger than the sum of its proper divisors (42882709779).

45444540141 is a wasteful number, since it uses less digits than its factorization.

45444540141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 45444 and 540141, that added together give a palindrome (585585).

The spelling of 45444540141 in words is "forty-five billion, four hundred forty-four million, five hundred forty thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 479 693 819 1001 1287 1437 3003 3353 4311 5269 6227 9009 10059 10531 15807 18681 30177 31593 36883 43589 47421 56043 68497 73717 94779 110649 115841 130767 136903 205491 221151 331947 347523 392301 410709 479479 616473 663453 810887 958321 1042569 1232127 1438437 1505933 2432661 2874963 4315311 4517799 5044349 7297983 8624889 10541531 13553397 15133047 31624593 35310443 45399141 55487839 65576537 94873779 105931329 166463517 196729611 317793987 388414873 459035759 499390551 590188833 721341907 1165244619 1377107277 2164025721 3495733857 4131321831 5049393349 6492077163 15148180047 45444540141