Search a number
-
+
14411000011440 = 2435471916688853
BaseRepresentation
bin1101000110110101001010…
…0010010101101010110000
31220000200022100221210200110
43101231102202111222300
53342102212000331230
650352153315421320
73015106004662554
oct321552242255260
956020270853613
1014411000011440
1146567418a342a
121748b468b4840
13806c4a4c1ba6
1437b6d3505864
1519ece33894b0
hexd1b52895ab0

14411000011440 has 160 divisors (see below), whose sum is σ = 45863491977216. Its totient is φ = 3741476254720.

The previous prime is 14411000011439. The next prime is 14411000011553. The reversal of 14411000011440 is 4411000011441.

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, 1189947 + ... + 5498906.

Almost surely, 214411000011440 is an apocalyptic number.

14411000011440 is a gapful number since it is divisible by the number (10) 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 14411000011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931745988608).

14411000011440 is an abundant number, since it is smaller than the sum of its proper divisors (31452491965776).

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

14411000011440 is a wasteful number, since it uses less digits than its factorization.

14411000011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689107 (or 6689101 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 14411000011440 its reverse (4411000011441), we get a palindrome (18822000022881).

Subtracting from 14411000011440 its reverse (4411000011441), we obtain a palindrome (9999999999999).

The spelling of 14411000011440 in words is "fourteen trillion, four hundred eleven billion, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 191 235 240 282 376 382 470 564 573 705 752 764 940 955 1128 1146 1410 1528 1880 1910 2256 2292 2820 2865 3056 3760 3820 4584 5640 5730 7640 8977 9168 11280 11460 15280 17954 22920 26931 35908 44885 45840 53862 71816 89770 107724 134655 143632 179540 215448 269310 359080 430896 538620 718160 1077240 2154480 6688853 13377706 20066559 26755412 33444265 40133118 53510824 66888530 80266236 100332795 107021648 133777060 160532472 200665590 267554120 314376091 321064944 401331180 535108240 628752182 802662360 943128273 1257504364 1277570923 1571880455 1605324720 1886256546 2515008728 2555141846 3143760910 3772513092 3832712769 4715641365 5030017456 5110283692 6287521820 6387854615 7545026184 7665425538 9431282730 10220567384 12575043640 12775709230 15090052368 15330851076 18862565460 19163563845 20441134768 25150087280 25551418460 30661702152 37725130920 38327127690 51102836920 60045833381 61323404304 75450261840 76654255380 102205673840 120091666762 153308510760 180137500143 240183333524 300229166905 306617021520 360275000286 480366667048 600458333810 720550000572 900687500715 960733334096 1200916667620 1441100001144 1801375001430 2401833335240 2882200002288 3602750002860 4803666670480 7205500005720 14411000011440