Search a number
-
+
111321403440 = 24351361584917
BaseRepresentation
bin110011110101101000…
…1011101000000110000
3101122100011212020010020
41213223101131000300
53310441234402230
6123050152003440
711020435213422
oct1475321350060
9348304766106
10111321403440
1143236037075
12196a9390580
13a6611ba030
1455608b6812
152d68114810
hex19eb45d030

111321403440 has 160 divisors (see below), whose sum is σ = 377735365056. Its totient is φ = 26952929280.

The previous prime is 111321403409. The next prime is 111321403511. The reversal of 111321403440 is 44304123111.

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 111321403440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102139 + ... + 482778.

Almost surely, 2111321403440 is an apocalyptic number.

111321403440 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 111321403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188867682528).

111321403440 is an abundant number, since it is smaller than the sum of its proper divisors (266413961616).

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

111321403440 is a wasteful number, since it uses less digits than its factorization.

111321403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585007 (or 585001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111321403440 its reverse (44304123111), we get a palindrome (155625526551).

The spelling of 111321403440 in words is "one hundred eleven billion, three hundred twenty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 624 732 780 793 915 976 1040 1220 1464 1560 1586 1830 2379 2440 2928 3120 3172 3660 3965 4758 4880 6344 7320 7930 9516 11895 12688 14640 15860 19032 23790 31720 38064 47580 63440 95160 190320 584917 1169834 1754751 2339668 2924585 3509502 4679336 5849170 7019004 7603921 8773755 9358672 11698340 14038008 15207842 17547510 22811763 23396680 28076016 30415684 35095020 35679937 38019605 45623526 46793360 60831368 70190040 71359874 76039210 91247052 107039811 114058815 121662736 140380080 142719748 152078420 178399685 182494104 214079622 228117630 285439496 304156840 356799370 364988208 428159244 456235260 463839181 535199055 570878992 608313680 713598740 856318488 912470520 927678362 1070398110 1391517543 1427197480 1712636976 1824941040 1855356724 2140796220 2319195905 2783035086 2854394960 3710713448 4281592440 4638391810 5566070172 6957587715 7421426896 8563184880 9276783620 11132140344 13915175430 18553567240 22264280688 27830350860 37107134480 55660701720 111321403440