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11140404104400 = 243529283670087
BaseRepresentation
bin1010001000011101001111…
…0101000100110011010000
31110110000022220202012002020
42202013103311010303100
52430011021422320100
635405455254451440
72226603412320504
oct242072365046320
943400286665066
1011140404104400
11360568976172a
1212bb102963b80
1362a6c693387c
142a72ac716304
15144bc2b005a0
hexa21d3d44cd0

11140404104400 has 60 divisors (see below), whose sum is σ = 35686427818272. Its totient is φ = 2970774427520.

The previous prime is 11140404104399. The next prime is 11140404104411. The reversal of 11140404104400 is 440140404111.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4641833844 + ... + 4641836243.

Almost surely, 211140404104400 is an apocalyptic number.

11140404104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140404104400 is an abundant number, since it is smaller than the sum of its proper divisors (24546023713872).

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

11140404104400 is a wasteful number, since it uses less digits than its factorization.

11140404104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283670108 (or 9283670097 counting only the distinct ones).

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

Adding to 11140404104400 its reverse (440140404111), we get a palindrome (11580544508511).

The spelling of 11140404104400 in words is "eleven trillion, one hundred forty billion, four hundred four million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 9283670087 18567340174 27851010261 37134680348 46418350435 55702020522 74269360696 92836700870 111404041044 139255051305 148538721392 185673401740 222808082088 232091752175 278510102610 371346803480 445616164176 464183504350 557020205220 696275256525 742693606960 928367008700 1114040410440 1392550513050 1856734017400 2228080820880 2785101026100 3713468034800 5570202052200 11140404104400