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11122441440 = 2535112106523
BaseRepresentation
bin10100101101111001…
…01111110011100000
31001201010211120022120
422112330233303200
5140234321111230
65035400304240
7542424122655
oct122674576340
931633746276
1011122441440
114798367970
1221a4a72080
1310833c78c6
14777263c2c
154516c8310
hex296f2fce0

11122441440 has 96 divisors (see below), whose sum is σ = 38220771456. Its totient is φ = 2696348160.

The previous prime is 11122441409. The next prime is 11122441441. The reversal of 11122441440 is 4414422111.

It is a tau number, because it is divible by the number of its divisors (96).

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 11122441440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122441441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047982 + ... + 1058541.

It is an arithmetic number, because the mean of its divisors is an integer number (398133036).

Almost surely, 211122441440 is an apocalyptic number.

11122441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122441440 is an abundant number, since it is smaller than the sum of its proper divisors (27098330016).

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

11122441440 is a wasteful number, since it uses less digits than its factorization.

11122441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106552 (or 2106544 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11122441440 its reverse (4414422111), we get a palindrome (15536863551).

The spelling of 11122441440 in words is "eleven billion, one hundred twenty-two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 2106523 4213046 6319569 8426092 10532615 12639138 16852184 21065230 23171753 25278276 31597845 33704368 42130460 46343506 50556552 63195690 67408736 69515259 84260920 92687012 101113104 115858765 126391380 139030518 168521840 185374024 202226208 231717530 252782760 278061036 337043680 347576295 370748048 463435060 505565520 556122072 695152590 741496096 926870120 1011131040 1112244144 1390305180 1853740240 2224488288 2780610360 3707480480 5561220720 11122441440