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11044424440 = 2357431078573
BaseRepresentation
bin10100100100100110…
…01000101011111000
31001111201000220010001
422102103020223320
5140104333040230
65023532202344
7540456026110
oct122223105370
931451026101
1011044424440
114758320605
1221829093b4
1310701accba
1476ab56040
154499170ca
hex2924c8af8

11044424440 has 128 divisors (see below), whose sum is σ = 29335426560. Its totient is φ = 3663604224.

The previous prime is 11044424429. The next prime is 11044424453. The reversal of 11044424440 is 4442444011.

It is a super-2 number, since 2×110444244402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11044424399 and 11044424408.

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, 1283994 + ... + 1292566.

It is an arithmetic number, because the mean of its divisors is an integer number (229183020).

Almost surely, 211044424440 is an apocalyptic number.

11044424440 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 11044424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14667713280).

11044424440 is an abundant number, since it is smaller than the sum of its proper divisors (18291002120).

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

11044424440 is a wasteful number, since it uses less digits than its factorization.

11044424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8737 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 11044424440 its reverse (4442444011), we get a palindrome (15486868451).

The spelling of 11044424440 in words is "eleven billion, forty-four million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 107 140 172 214 215 280 301 344 428 430 535 602 749 856 860 1070 1204 1498 1505 1720 2140 2408 2996 3010 3745 4280 4601 5992 6020 7490 8573 9202 12040 14980 17146 18404 23005 29960 32207 34292 36808 42865 46010 60011 64414 68584 85730 92020 120022 128828 161035 171460 184040 240044 257656 300055 322070 342920 368639 480088 600110 644140 737278 917311 1200220 1288280 1474556 1834622 1843195 2400440 2580473 2949112 3669244 3686390 4586555 5160946 6421177 7338488 7372780 9173110 10321892 12842354 12902365 14745560 18346220 20643784 25684708 25804730 32105885 36692440 39444373 51369416 51609460 64211770 78888746 103218920 128423540 157777492 197221865 256847080 276110611 315554984 394443730 552221222 788887460 1104442444 1380553055 1577774920 2208884888 2761106110 5522212220 11044424440