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11244440000 = 26541092579
BaseRepresentation
bin10100111100011100…
…01000100111000000
31002000122101201212202
422132032020213000
5141012034040000
65055435212332
7545435106623
oct123616104700
932018351782
1011244440000
114850214222
1222198a70a8
1310a27713c1
1478953ddba
1545c275dd5
hex29e3889c0

11244440000 has 140 divisors (see below), whose sum is σ = 28149270600. Its totient is φ = 4454784000.

The previous prime is 11244439993. The next prime is 11244440003. The reversal of 11244440000 is 4444211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244440003) 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, 4358711 + ... + 4361289.

Almost surely, 211244440000 is an apocalyptic number.

11244440000 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 11244440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074635300).

11244440000 is an abundant number, since it is smaller than the sum of its proper divisors (16904830600).

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

11244440000 is an equidigital number, since it uses as much as digits as its factorization.

11244440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11244440000 its reverse (4444211), we get a palindrome (11248884211).

The spelling of 11244440000 in words is "eleven billion, two hundred forty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 160 200 218 250 320 400 436 500 545 625 800 872 1000 1090 1250 1600 1744 2000 2180 2500 2579 2725 3488 4000 4360 5000 5158 5450 6976 8000 8720 10000 10316 10900 12895 13625 17440 20000 20632 21800 25790 27250 34880 40000 41264 43600 51580 54500 64475 68125 82528 87200 103160 109000 128950 136250 165056 174400 206320 218000 257900 272500 281111 322375 412640 436000 515800 545000 562222 644750 825280 872000 1031600 1090000 1124444 1289500 1405555 1611875 2063200 2180000 2248888 2579000 2811110 3223750 4126400 4360000 4497776 5158000 5622220 6447500 7027775 8995552 10316000 11244440 12895000 14055550 17991104 20632000 22488880 25790000 28111100 35138875 44977760 51580000 56222200 70277750 89955520 103160000 112444400 140555500 175694375 224888800 281111000 351388750 449777600 562222000 702777500 1124444000 1405555000 2248888000 2811110000 5622220000 11244440000