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5541141144 = 2337114173133
BaseRepresentation
bin1010010100100011…
…10001101010011000
3112022011122010122210
411022101301222120
542322013004034
62313501515120
7254212631310
oct51221615230
915264563583
105541141144
1123939143a0
1210a7872aa0
136a3cb9a56
143a7cc6440
152266e98e9
hex14a471a98

5541141144 has 128 divisors (see below), whose sum is σ = 17692577280. Its totient is φ = 1404134400.

The previous prime is 5541141131. The next prime is 5541141181. The reversal of 5541141144 is 4411411455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39202 + ... + 112334.

It is an arithmetic number, because the mean of its divisors is an integer number (138223260).

Almost surely, 25541141144 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 5541141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846288640).

5541141144 is an abundant number, since it is smaller than the sum of its proper divisors (12151436136).

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

5541141144 is a wasteful number, since it uses less digits than its factorization.

5541141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73201 (or 73197 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 5541141144 is about 74438.8416352646. The cubic root of 5541141144 is about 1769.5645288306.

Adding to 5541141144 its reverse (4411411455), we get a palindrome (9952552599).

It can be divided in two parts, 55411411 and 44, that added together give a palindrome (55411455).

The spelling of 5541141144 in words is "five billion, five hundred forty-one million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 77 82 84 88 123 132 154 164 168 231 246 264 287 308 328 451 462 492 574 616 861 902 924 984 1148 1353 1722 1804 1848 2296 2706 3157 3444 3608 5412 6314 6888 9471 10824 12628 18942 25256 37884 73133 75768 146266 219399 292532 438798 511931 585064 804463 877596 1023862 1535793 1608926 1755192 2047724 2413389 2998453 3071586 3217852 4095448 4826778 5631241 5996906 6143172 6435704 8995359 9653556 11262482 11993812 12286344 16893723 17990718 19307112 20989171 22524964 23987624 32982983 33787446 35981436 41978342 45049928 62967513 65965966 67574892 71962872 83956684 98948949 125935026 131931932 135149784 167913368 197897898 230880881 251870052 263863864 395795796 461761762 503740104 692642643 791591592 923523524 1385285286 1847047048 2770570572 5541141144