Search a number
-
+
54022431544344 = 233230715591567679
BaseRepresentation
bin11000100100010000100111…
…10101111001010000011000
321002021111100010202111002200
430102020103311321100120
524040100414433404334
6310521321253130200
714243664133414554
oct1422102365712030
9232244303674080
1054022431544344
111623886a276a5a
126085aab029960
13241b3a78a7b73
14d4a9b1b40864
1563a3aa08d799
hex312213d79418

54022431544344 has 96 divisors (see below), whose sum is σ = 146881582848000. Its totient is φ = 17937296427456.

The previous prime is 54022431544241. The next prime is 54022431544369. The reversal of 54022431544344 is 44344513422045.

54022431544344 is a `hidden beast` number, since 5 + 4 + 0 + 22 + 43 + 1 + 544 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54022431544344.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33676297 + ... + 35243975.

It is an arithmetic number, because the mean of its divisors is an integer number (1530016488000).

Almost surely, 254022431544344 is an apocalyptic number.

It is an amenable number.

54022431544344 is an abundant number, since it is smaller than the sum of its proper divisors (92859151303656).

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

54022431544344 is a wasteful number, since it uses less digits than its factorization.

54022431544344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569557 (or 1569550 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 54022431544344 its reverse (44344513422045), we get a palindrome (98366944966389).

The spelling of 54022431544344 in words is "fifty-four trillion, twenty-two billion, four hundred thirty-one million, five hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 921 1228 1559 1842 2456 2763 3118 3684 4677 5526 6236 7368 9354 11052 12472 14031 18708 22104 28062 37416 56124 112248 478613 957226 1435839 1567679 1914452 2871678 3135358 3828904 4307517 4703037 5743356 6270716 8615034 9406074 11486712 12541432 14109111 17230068 18812148 28218222 34460136 37624296 56436444 112872888 481277453 962554906 1443832359 1925109812 2444011561 2887664718 3850219624 4331497077 4888023122 5775329436 7332034683 8662994154 9776046244 11550658872 14664069366 17325988308 19552092488 21996104049 29328138732 34651976616 43992208098 58656277464 87984416196 175968832392 750311549227 1500623098454 2250934647681 3001246196908 4501869295362 6002492393816 6752803943043 9003738590724 13505607886086 18007477181448 27011215772172 54022431544344