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144011243000 = 23534715531973
BaseRepresentation
bin1000011000011110111…
…1010010110111111000
3111202201101120010200202
42012013233102313320
54324413334234000
6150054032421332
713255506240212
oct2060757226770
9452641503622
10144011243000
11560906573a9
1223ab10a7848
131077091bc71
146d8226b5b2
153b2ce67dd5
hex2187bd2df8

144011243000 has 128 divisors (see below), whose sum is σ = 344552382720. Its totient is φ = 56314009600.

The previous prime is 144011242961. The next prime is 144011243023. The reversal of 144011243000 is 342110441.

It is a super-2 number, since 2×1440112430002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72990014 + ... + 72991986.

It is an arithmetic number, because the mean of its divisors is an integer number (2691815490).

Almost surely, 2144011243000 is an apocalyptic number.

144011243000 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 144011243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172276191360).

144011243000 is an abundant number, since it is smaller than the sum of its proper divisors (200541139720).

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

144011243000 is a wasteful number, since it uses less digits than its factorization.

144011243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144011243000 its reverse (342110441), we get a palindrome (144353353441).

The spelling of 144011243000 in words is "one hundred forty-four billion, eleven million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1553 1880 1973 2350 3106 3946 4700 5875 6212 7765 7892 9400 9865 11750 12424 15530 15784 19730 23500 31060 38825 39460 47000 49325 62120 72991 77650 78920 92731 98650 145982 155300 185462 194125 197300 246625 291964 310600 364955 370924 388250 394600 463655 493250 583928 729910 741848 776500 927310 986500 1459820 1553000 1824775 1854620 1973000 2318275 2919640 3064069 3649550 3709240 4636550 6128138 7299100 9123875 9273100 11591375 12256276 14598200 15320345 18247750 18546200 23182750 24512552 30640690 36495500 46365500 61281380 72991000 76601725 92731000 122562760 144011243 153203450 288022486 306406900 383008625 576044972 612813800 720056215 766017250 1152089944 1440112430 1532034500 2880224860 3064069000 3600281075 5760449720 7200562150 14401124300 18001405375 28802248600 36002810750 72005621500 144011243000