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11014444244440 = 23571321773138977
BaseRepresentation
bin1010000001001000000000…
…0010010101110111011000
31102222222012120001022200201
42200102000002111313120
52420430040211310230
635231544341511544
72214524124220210
oct240220002256730
942888176038621
1011014444244440
1135672216a260a
12129a80b1125b4
1361b871a95c60
142a115da4d240
1514179e7e05ca
hexa0480095dd8

11014444244440 has 128 divisors (see below), whose sum is σ = 30503158277760. Its totient is φ = 3485704863744.

The previous prime is 11014444244359. The next prime is 11014444244483. The reversal of 11014444244440 is 4444244441011.

It is a self number, because there is not a number n which added to its sum of digits gives 11014444244440.

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, 79184232 + ... + 79323208.

It is an arithmetic number, because the mean of its divisors is an integer number (238305924045).

Almost surely, 211014444244440 is an apocalyptic number.

11014444244440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014444244440 is an abundant number, since it is smaller than the sum of its proper divisors (19488714033320).

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

11014444244440 is a wasteful number, since it uses less digits than its factorization.

11014444244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160781 (or 160777 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 37.

Adding to 11014444244440 its reverse (4444244441011), we get a palindrome (15458688685451).

The spelling of 11014444244440 in words is "eleven trillion, fourteen billion, four hundred forty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 21773 43546 87092 108865 138977 152411 174184 217730 277954 283049 304822 435460 555908 566098 609644 694885 762055 870920 972839 1111816 1132196 1219288 1389770 1415245 1524110 1806701 1945678 1981343 2264392 2779540 2830490 3048220 3613402 3891356 3962686 4864195 5559080 5660980 6096440 7226804 7782712 7925372 9033505 9728390 9906715 11321960 12646907 14453608 15850744 18067010 19456780 19813430 25293814 36134020 38913560 39626860 50587628 63234535 72268040 79253720 101175256 126469070 252938140 505876280 3025946221 6051892442 12103784884 15129731105 21181623547 24207569768 30259462210 39337300873 42363247094 60518924420 78674601746 84726494188 105908117735 121037848840 157349203492 169452988376 196686504365 211816235470 275361106111 314698406984 393373008730 423632470940 550722212222 786746017460 847264941880 1101444424444 1376805530555 1573492034920 2202888848888 2753611061110 5507222122220 11014444244440