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144300404000 = 2553291243969
BaseRepresentation
bin1000011001100011111…
…0010110110100100000
3111210110112200001000102
42012120332112310200
54331011400412000
6150142442241532
713265620124204
oct2063076266440
9453415601012
10144300404000
11562198a8335
1223b71ab62a8
13107b87c334c
146dac81cb04
153b485353d5
hex2198f96d20

144300404000 has 96 divisors (see below), whose sum is σ = 366772114800. Its totient is φ = 55729766400.

The previous prime is 144300403937. The next prime is 144300404011. The reversal of 144300404000 is 404003441.

It can be written as a sum of positive squares in 8 ways, for example, as 21214505104 + 123085898896 = 145652^2 + 350836^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 505985 + ... + 737984.

Almost surely, 2144300404000 is an apocalyptic number.

144300404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300404000 is an abundant number, since it is smaller than the sum of its proper divisors (222471710800).

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

144300404000 is a wasteful number, since it uses less digits than its factorization.

144300404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244023 (or 1244005 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 144300404000 its reverse (404003441), we get a palindrome (144704407441).

The spelling of 144300404000 in words is "one hundred forty-four billion, three hundred million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 1243969 2487938 4975876 6219845 9951752 12439690 19903504 24879380 31099225 36075101 39807008 49758760 62198450 72150202 99517520 124396900 144300404 155496125 180375505 199035040 248793800 288600808 310992250 360751010 497587600 577201616 621984500 721502020 901877525 995175200 1154403232 1243969000 1443004040 1803755050 2487938000 2886008080 3607510100 4509387625 4975876000 5772016160 7215020200 9018775250 14430040400 18037550500 28860080800 36075101000 72150202000 144300404000