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11044113140000 = 25541126149037
BaseRepresentation
bin1010000010110110100001…
…1100001100100100100000
31110002210210020022101011102
42200231220130030210200
52421421320430440000
635253332345133532
72216624263531043
oct240555034144440
943083706271142
1011044113140000
113578866a47a06
1212a450b18a2a8
136215bc68c665
142a2776108c5a
151424393143d5
hexa0b6870c920

11044113140000 has 120 divisors (see below), whose sum is σ = 27173141833068. Its totient is φ = 4417162880000.

The previous prime is 11044113139963. The next prime is 11044113140003. The reversal of 11044113140000 is 4131144011.

It can be written as a sum of positive squares in 10 ways, for example, as 1605724877584 + 9438388262416 = 1267172^2 + 3072196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11044113140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 225195482 + ... + 225244518.

Almost surely, 211044113140000 is an apocalyptic number.

11044113140000 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 11044113140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586570916534).

11044113140000 is an abundant number, since it is smaller than the sum of its proper divisors (16129028693068).

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

11044113140000 is an equidigital number, since it uses as much as digits as its factorization.

11044113140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60328 (or 60305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11044113140000 its reverse (4131144011), we get a palindrome (11048244284011).

The spelling of 11044113140000 in words is "eleven trillion, forty-four billion, one hundred thirteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11261 20000 22522 45044 49037 56305 90088 98074 112610 180176 196148 225220 245185 281525 360352 392296 450440 490370 563050 784592 900880 980740 1126100 1225925 1407625 1569184 1801760 1961480 2252200 2451850 2815250 3922960 4504400 4903700 5630500 6129625 7038125 7845920 9008800 9807400 11261000 12259250 14076250 19614800 22522000 24518500 28152500 30648125 39229600 45044000 49037000 56305000 61296250 98074000 112610000 122592500 196148000 225220000 245185000 490370000 552205657 980740000 1104411314 2208822628 2761028285 4417645256 5522056570 8835290512 11044113140 13805141425 17670581024 22088226280 27610282850 44176452560 55220565700 69025707125 88352905120 110441131400 138051414250 220882262800 276102828500 345128535625 441764525600 552205657000 690257071250 1104411314000 1380514142500 2208822628000 2761028285000 5522056570000 11044113140000