Search a number
-
+
4111413360 = 243537479851
BaseRepresentation
bin1111010100001111…
…0011000001110000
3101121112100102211220
43311003303001300
531410010211420
61515545505040
7203612302605
oct36503630160
911545312756
104111413360
11181a87078a
12968aa2180
13506a30192
142b00766ac
15190e31840
hexf50f3070

4111413360 has 160 divisors (see below), whose sum is σ = 13369715712. Its totient is φ = 1043942400.

The previous prime is 4111413349. The next prime is 4111413367. The reversal of 4111413360 is 633141114.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4111413360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111413367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412435 + ... + 422285.

Almost surely, 24111413360 is an apocalyptic number.

4111413360 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 4111413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684857856).

4111413360 is an abundant number, since it is smaller than the sum of its proper divisors (9258302352).

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

4111413360 is a wasteful number, since it uses less digits than its factorization.

4111413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4111413360 is about 64120.3038046452. The cubic root of 4111413360 is about 1602.0044357663.

Adding to 4111413360 its reverse (633141114), we get a palindrome (4744554474).

The spelling of 4111413360 in words is "four billion, one hundred eleven million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 47 48 60 74 80 94 111 120 141 148 185 188 222 235 240 282 296 370 376 444 470 555 564 592 705 740 752 888 940 1110 1128 1410 1480 1739 1776 1880 2220 2256 2820 2960 3478 3760 4440 5217 5640 6956 8695 8880 9851 10434 11280 13912 17390 19702 20868 26085 27824 29553 34780 39404 41736 49255 52170 59106 69560 78808 83472 98510 104340 118212 139120 147765 157616 197020 208680 236424 295530 364487 394040 417360 462997 472848 591060 728974 788080 925994 1093461 1182120 1388991 1457948 1822435 1851988 2186922 2314985 2364240 2777982 2915896 3644870 3703976 4373844 4629970 5467305 5555964 5831792 6944955 7289740 7407952 8747688 9259940 10934610 11111928 13889910 14579480 17130889 17495376 18519880 21869220 22223856 27779820 29158960 34261778 37039760 43738440 51392667 55559640 68523556 85654445 87476880 102785334 111119280 137047112 171308890 205570668 256963335 274094224 342617780 411141336 513926670 685235560 822282672 1027853340 1370471120 2055706680 4111413360