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4111543040 = 28511436791
BaseRepresentation
bin1111010100010001…
…0010101100000000
3101121112121000201212
43311010102230000
531410023334130
61515552345252
7203613352643
oct36504225400
911545530655
104111543040
11181a94a160
12968b45228
13506a77207
142b00aba5a
15190e59e95
hexf5112b00

4111543040 has 144 divisors (see below), whose sum is σ = 10995215616. Its totient is φ = 1460121600.

The previous prime is 4111543039. The next prime is 4111543061. The reversal of 4111543040 is 403451114.

It is a junction number, because it is equal to n+sod(n) for n = 4111542997 and 4111543015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602045 + ... + 608835.

It is an arithmetic number, because the mean of its divisors is an integer number (76355664).

Almost surely, 24111543040 is an apocalyptic number.

4111543040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4111543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497607808).

4111543040 is an abundant number, since it is smaller than the sum of its proper divisors (6883672576).

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

4111543040 is a wasteful number, since it uses less digits than its factorization.

4111543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6866 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4111543040 is about 64121.3150208260. The cubic root of 4111543040 is about 1602.0212787781.

Adding to 4111543040 its reverse (403451114), we get a palindrome (4514994154).

It can be divided in two parts, 411 and 1543040, that added together give a palindrome (1543451).

The spelling of 4111543040 in words is "four billion, one hundred eleven million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 640 688 704 860 880 946 1280 1376 1408 1720 1760 1892 2365 2752 2816 3440 3520 3784 4730 5504 6791 6880 7040 7568 9460 11008 13582 13760 14080 15136 18920 27164 27520 30272 33955 37840 54328 55040 60544 67910 74701 75680 108656 121088 135820 149402 151360 217312 271640 292013 298804 302720 373505 434624 543280 584026 597608 605440 747010 869248 1086560 1168052 1195216 1460065 1494020 1738496 2173120 2336104 2390432 2920130 2988040 3212143 4346240 4672208 4780864 5840260 5976080 6424286 8692480 9344416 9561728 11680520 11952160 12848572 16060715 18688832 19123456 23361040 23904320 25697144 32121430 37377664 46722080 47808640 51394288 64242860 74755328 93444160 95617280 102788576 128485720 186888320 205577152 256971440 373776640 411154304 513942880 822308608 1027885760 2055771520 4111543040