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11104345440 = 253257711351
BaseRepresentation
bin10100101011101111…
…01101110101100000
31001122212210012021100
422111313231311200
5140220203023230
65033512354400
7542114243646
oct122567556540
931585705240
1011104345440
1147891280a1
12219a9a5a00
13107c730006
14774ab3196
1544ed01660
hex295dedd60

11104345440 has 72 divisors (see below), whose sum is σ = 37893583728. Its totient is φ = 2961158400.

The previous prime is 11104345429. The next prime is 11104345451. The reversal of 11104345440 is 4454340111.

11104345440 is a `hidden beast` number, since 1 + 110 + 4 + 3 + 4 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11104345429) and next prime (11104345451).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3854236 + ... + 3857115.

It is an arithmetic number, because the mean of its divisors is an integer number (526299774).

Almost surely, 211104345440 is an apocalyptic number.

11104345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11104345440 is an abundant number, since it is smaller than the sum of its proper divisors (26789238288).

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

11104345440 is a wasteful number, since it uses less digits than its factorization.

11104345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711372 (or 7711361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11104345440 its reverse (4454340111), we get a palindrome (15558685551).

The spelling of 11104345440 in words is "eleven billion, one hundred four million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7711351 15422702 23134053 30845404 38556755 46268106 61690808 69402159 77113510 92536212 115670265 123381616 138804318 154227020 185072424 231340530 246763232 277608636 308454040 347010795 370144848 462681060 555217272 616908080 694021590 740289696 925362120 1110434544 1233816160 1388043180 1850724240 2220869088 2776086360 3701448480 5552172720 11104345440