Search a number
-
+
11224119423440 = 24571114912228841
BaseRepresentation
bin1010001101010101000110…
…1001101011000111010000
31110202000102011220000200002
42203111101221223013100
52432343444033022230
635512142252345132
72235626066641160
oct243252151530720
943660364800602
1011224119423440
113638138890a10
121313386a751a8
136355786c3c01
142ab370a9c5a0
15146e7235e545
hexa3551a6b1d0

11224119423440 has 160 divisors (see below), whose sum is σ = 32753730412800. Its totient is φ = 3474947174400.

The previous prime is 11224119423437. The next prime is 11224119423457. The reversal of 11224119423440 is 4432491142211.

It is a junction number, because it is equal to n+sod(n) for n = 11224119423394 and 11224119423403.

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, 5196581 + ... + 7032260.

It is an arithmetic number, because the mean of its divisors is an integer number (204710815080).

Almost surely, 211224119423440 is an apocalyptic number.

11224119423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224119423440 is an abundant number, since it is smaller than the sum of its proper divisors (21529610989360).

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

11224119423440 is a wasteful number, since it uses less digits than its factorization.

11224119423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229021 (or 12229015 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 11224119423440 in words is "eleven trillion, two hundred twenty-four billion, one hundred nineteen million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 149 154 176 220 280 298 308 385 440 560 596 616 745 770 880 1043 1192 1232 1490 1540 1639 2086 2384 2980 3080 3278 4172 5215 5960 6160 6556 8195 8344 10430 11473 11920 13112 16390 16688 20860 22946 26224 32780 41720 45892 57365 65560 83440 91784 114730 131120 183568 229460 458920 917840 12228841 24457682 48915364 61144205 85601887 97830728 122288410 134517251 171203774 195661456 244576820 269034502 342407548 428009435 489153640 538069004 672586255 684815096 856018870 941620757 978307280 1076138008 1345172510 1369630192 1712037740 1822097309 1883241514 2152276016 2690345020 3424075480 3644194618 3766483028 4708103785 5380690040 6848150960 7288389236 7532966056 9110486545 9416207570 10761380080 12754681163 14576778472 15065932112 18220973090 18832415140 20043070399 25509362326 29153556944 36441946180 37664830280 40086140798 51018724652 63773405815 72883892360 75329660560 80172281596 100215351995 102037449304 127546811630 140301492793 145767784720 160344563192 200430703990 204074898608 255093623260 280602985586 320689126384 400861407980 510187246520 561205971172 701507463965 801722815960 1020374493040 1122411942344 1403014927930 1603445631920 2244823884688 2806029855860 5612059711720 11224119423440