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1111224444440 = 2351123163673649
BaseRepresentation
bin10000001010111010001…
…000110110011000011000
310221020021010211121212012
4100022322020312120120
5121201241424210230
62210253420205052
7143166114634235
oct20127210663030
93836233747765
101111224444440
113992a4258260
1215b442999788
1380a32368286
143bad80c078c
151dd8b0c7395
hex102ba236618

1111224444440 has 128 divisors (see below), whose sum is σ = 2863605312000. Its totient is φ = 384141035520.

The previous prime is 1111224444409. The next prime is 1111224444461. The reversal of 1111224444440 is 444444221111.

It is a junction number, because it is equal to n+sod(n) for n = 1111224444397 and 1111224444406.

It is a congruent number.

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, 1312736 + ... + 1986384.

It is an arithmetic number, because the mean of its divisors is an integer number (22371916500).

Almost surely, 21111224444440 is an apocalyptic number.

1111224444440 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 1111224444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431802656000).

1111224444440 is an abundant number, since it is smaller than the sum of its proper divisors (1752380867560).

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

1111224444440 is a wasteful number, since it uses less digits than its factorization.

1111224444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673857 (or 673853 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 1111224444440 its reverse (444444221111), we get a palindrome (1555668665551).

The spelling of 1111224444440 in words is "one trillion, one hundred eleven billion, two hundred twenty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 163 184 220 230 253 326 440 460 506 652 815 920 1012 1265 1304 1630 1793 2024 2530 3260 3586 3749 5060 6520 7172 7498 8965 10120 14344 14996 17930 18745 29992 35860 37490 41239 71720 74980 82478 149960 164956 206195 329912 412390 673649 824780 1347298 1649560 2694596 3368245 5389192 6736490 7410139 13472980 14820278 15493927 26945960 29640556 30987854 37050695 59281112 61975708 74101390 77469635 109804787 123951416 148202780 154939270 170433197 219609574 296405560 309878540 340866394 439219148 549023935 619757080 681732788 852165985 878438296 1098047870 1207852657 1363465576 1704331970 2196095740 2415705314 2525510101 3408663940 4392191480 4831410628 5051020202 6039263285 6817327880 9662821256 10102040404 12078526570 12627550505 20204080808 24157053140 25255101010 27780611111 48314106280 50510202020 55561222222 101020404040 111122444444 138903055555 222244888888 277806111110 555612222220 1111224444440