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144314120000 = 265419189887
BaseRepresentation
bin1000011001100111001…
…0101011011101000000
3111210111111110212211102
42012121302223131000
54331023403320000
6150144052233532
713266144531431
oct2063162533500
9453444425742
10144314120000
1156226616376
1223b7660b8a8
13107bb5b641b
146db058d488
153b498443d5
hex2199cab740

144314120000 has 140 divisors (see below), whose sum is σ = 376688421120. Its totient is φ = 54687168000.

The previous prime is 144314119967. The next prime is 144314120029. The reversal of 144314120000 is 21413441.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 665057 + ... + 854943.

Almost surely, 2144314120000 is an apocalyptic number.

144314120000 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 144314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188344210560).

144314120000 is an abundant number, since it is smaller than the sum of its proper divisors (232374301120).

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

144314120000 is an equidigital number, since it uses as much as digits as its factorization.

144314120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189938 (or 189913 counting only the distinct ones).

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

Adding to 144314120000 its reverse (21413441), we get a palindrome (144335533441).

The spelling of 144314120000 in words is "one hundred forty-four billion, three hundred fourteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 625 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2500 3040 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 15200 19000 20000 23750 30400 38000 40000 47500 76000 95000 152000 189887 190000 379774 380000 759548 760000 949435 1519096 1898870 3038192 3607853 3797740 4747175 6076384 7215706 7595480 9494350 12152768 14431412 15190960 18039265 18988700 23735875 28862824 30381920 36078530 37977400 47471750 57725648 60763840 72157060 75954800 90196325 94943500 115451296 118679375 144314120 151909600 180392650 189887000 230902592 237358750 288628240 303819200 360785300 379774000 450981625 474717500 577256480 721570600 759548000 901963250 949435000 1154512960 1443141200 1519096000 1803926500 1898870000 2254908125 2886282400 3607853000 3797740000 4509816250 5772564800 7215706000 7595480000 9019632500 14431412000 18039265000 28862824000 36078530000 72157060000 144314120000