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542441144245 = 571113108379849
BaseRepresentation
bin1111110010011000000…
…00101111111110110101
31220212010122201020002211
413321030000233332311
532341404413103440
61053105524133421
754122124435640
oct7711400577665
91825118636084
10542441144245
1119a058980320
1289166537271
133c1c8b93590
141c37bac0a57
15e19babbeea
hex7e4c02ffb5

542441144245 has 32 divisors (see below), whose sum is σ = 873975110400. Its totient is φ = 312133962240.

The previous prime is 542441144191. The next prime is 542441144293.

542441144245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542441144245 - 27 = 542441144117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542441144198 and 542441144207.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54184920 + ... + 54194929.

It is an arithmetic number, because the mean of its divisors is an integer number (27311722200).

Almost surely, 2542441144245 is an apocalyptic number.

542441144245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542441144245 is a deficient number, since it is larger than the sum of its proper divisors (331533966155).

542441144245 is a wasteful number, since it uses less digits than its factorization.

542441144245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108379885.

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 542441 and 144245, that added together give a palindrome (686686).

The spelling of 542441144245 in words is "five hundred forty-two billion, four hundred forty-one million, one hundred forty-four thousand, two hundred forty-five".

Divisors: 1 5 7 11 13 35 55 65 77 91 143 385 455 715 1001 5005 108379849 541899245 758658943 1192178339 1408938037 3793294715 5960891695 7044690185 8345248373 9862566259 15498318407 41726241865 49312831295 77491592035 108488228849 542441144245