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544131144 = 233279271353
BaseRepresentation
bin100000011011101…
…100100001001000
31101220212201121100
4200123230201020
52103244144034
6125554341400
716325016114
oct4033544110
91356781540
10544131144
1125a169867
1213228a860
13889670bb
14523a2744
1532b84099
hex206ec848

544131144 has 96 divisors (see below), whose sum is σ = 1502092800. Its totient is φ = 177914880.

The previous prime is 544131143. The next prime is 544131157. The reversal of 544131144 is 441131445.

544131144 is a `hidden beast` number, since 544 + 1 + 3 + 114 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (544131143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1541272 + ... + 1541624.

It is an arithmetic number, because the mean of its divisors is an integer number (15646800).

Almost surely, 2544131144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751046400).

544131144 is an abundant number, since it is smaller than the sum of its proper divisors (957961656).

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

544131144 is a wasteful number, since it uses less digits than its factorization.

544131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 544131144 is about 23326.6187862708. The cubic root of 544131144 is about 816.3966137129.

Adding to 544131144 its reverse (441131445), we get a palindrome (985262589).

It can be divided in two parts, 5441 and 31144, that added together give a triangular number (36585 = T270).

The spelling of 544131144 in words is "five hundred forty-four million, one hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 271 316 353 474 542 632 706 711 813 948 1059 1084 1412 1422 1626 1896 2118 2168 2439 2824 2844 3177 3252 4236 4878 5688 6354 6504 8472 9756 12708 19512 21409 25416 27887 42818 55774 64227 83661 85636 95663 111548 128454 167322 171272 191326 192681 223096 250983 256908 286989 334644 382652 385362 501966 513816 573978 669288 765304 770724 860967 1003932 1147956 1541448 1721934 2007864 2295912 3443868 6887736 7557377 15114754 22672131 30229508 45344262 60459016 68016393 90688524 136032786 181377048 272065572 544131144