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144402511000 = 23531113127501
BaseRepresentation
bin1000011001111100001…
…1110111010010011000
3111210201122210121111011
42012133003313102120
54331214020323000
6150200530543304
713301300043226
oct2063703672230
9453648717434
10144402511000
11562714a8890
1223ba0137b34
13108039c3ba7
146dbc1dbb16
153b524a42ba
hex219f0f7498

144402511000 has 64 divisors (see below), whose sum is σ = 368620256160. Its totient is φ = 52510000000.

The previous prime is 144402510991. The next prime is 144402511007. The reversal of 144402511000 is 115204441.

144402511000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144402511007) 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, 6552751 + ... + 6574750.

Almost surely, 2144402511000 is an apocalyptic number.

144402511000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144402511000 is an abundant number, since it is smaller than the sum of its proper divisors (224217745160).

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

144402511000 is a wasteful number, since it uses less digits than its factorization.

144402511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127533 (or 13127519 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 144402511000 its reverse (115204441), we get a palindrome (144517715441).

The spelling of 144402511000 in words is "one hundred forty-four billion, four hundred two million, five hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 13127501 26255002 52510004 65637505 105020008 131275010 144402511 262550020 288805022 328187525 525100040 577610044 656375050 722012555 1155220088 1312750100 1444025110 1640937625 2625500200 2888050220 3281875250 3610062775 5776100440 6563750500 7220125550 13127501000 14440251100 18050313875 28880502200 36100627750 72201255500 144402511000