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4541116140 = 223251112718059
BaseRepresentation
bin1000011101010101…
…11110111011101100
3102201110220121020200
410032222332323230
533300011204030
62030335513500
7220350564441
oct41652767354
912643817220
104541116140
111a20383850
12a68988890
13574a71392
1431116d9c8
151b8a10d60
hex10eabeeec

4541116140 has 144 divisors (see below), whose sum is σ = 15146127360. Its totient is φ = 1092147840.

The previous prime is 4541116049. The next prime is 4541116163. The reversal of 4541116140 is 416111454.

4541116140 = T473 + T474 + ... + T3012.

4541116140 is a `hidden beast` number, since 4 + 5 + 41 + 1 + 1 + 614 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242431 + ... + 260489.

It is an arithmetic number, because the mean of its divisors is an integer number (105181440).

Almost surely, 24541116140 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 4541116140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573063680).

4541116140 is an abundant number, since it is smaller than the sum of its proper divisors (10605011220).

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

4541116140 is a wasteful number, since it uses less digits than its factorization.

4541116140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18212 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4541116140 is about 67387.8040894641. The cubic root of 4541116140 is about 1655.9766283546.

Adding to 4541116140 its reverse (416111454), we get a palindrome (4957227594).

The spelling of 4541116140 in words is "four billion, five hundred forty-one million, one hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 127 132 165 180 198 220 254 330 381 396 495 508 635 660 762 990 1143 1270 1397 1524 1905 1980 2286 2540 2794 3810 4191 4572 5588 5715 6985 7620 8382 11430 12573 13970 16764 18059 20955 22860 25146 27940 36118 41910 50292 54177 62865 72236 83820 90295 108354 125730 162531 180590 198649 216708 251460 270885 325062 361180 397298 541770 595947 650124 794596 812655 993245 1083540 1191894 1625310 1787841 1986490 2293493 2383788 2979735 3250620 3575682 3972980 4586986 5959470 6880479 7151364 8939205 9173972 11467465 11918940 13760958 17878410 20641437 22934930 25228423 27521916 34402395 35756820 41282874 45869860 50456846 68804790 75685269 82565748 100913692 103207185 126142115 137609580 151370538 206414370 227055807 252284230 302741076 378426345 412828740 454111614 504568460 756852690 908223228 1135279035 1513705380 2270558070 4541116140