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144300404423320 = 235371931558132423
BaseRepresentation
bin100000110011110110001110…
…010110001011101010011000
3200220220222120021212002202221
4200303312032112023222120
5122403204212013021240
61230522405102233424
742252234353541355
oct4063661626135230
9626828507762687
10144300404423320
1141a84504436362
1214226475585874
136269615067772
14278c26936562c
1511a38b83dea4a
hex833d8e58ba98

144300404423320 has 128 divisors (see below), whose sum is σ = 335210509952640. Its totient is φ = 55863863377920.

The previous prime is 144300404423311. The next prime is 144300404423341. The reversal of 144300404423320 is 23324404003441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4450540629 + ... + 4450573051.

It is an arithmetic number, because the mean of its divisors is an integer number (2618832109005).

Almost surely, 2144300404423320 is an apocalyptic number.

144300404423320 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 144300404423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167605254976320).

144300404423320 is an abundant number, since it is smaller than the sum of its proper divisors (190910105529320).

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

144300404423320 is a wasteful number, since it uses less digits than its factorization.

144300404423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48245 (or 48241 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 144300404423320 its reverse (23324404003441), we get a palindrome (167624808426761).

The spelling of 144300404423320 in words is "one hundred forty-four trillion, three hundred billion, four hundred four million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 193 296 370 386 740 772 965 1480 1544 1930 3860 7141 7720 14282 15581 28564 31162 32423 35705 57128 62324 64846 71410 77905 124648 129692 142820 155810 162115 259384 285640 311620 324230 576497 623240 648460 1152994 1199651 1296920 2305988 2399302 2882485 3007133 4611976 4798604 5764970 5998255 6014266 6257639 9597208 11529940 11996510 12028532 12515278 15035665 23059880 23993020 24057064 25030556 30071330 31288195 47986040 50061112 60142660 62576390 111263921 120285320 125152780 222527842 231532643 250305560 445055684 463065286 505182763 556319605 890111368 926130572 1010365526 1112639210 1157663215 1852261144 2020731052 2225278420 2315326430 2525913815 4041462104 4450556840 4630652860 5051827630 9261305720 10103655260 18691762231 20207310520 37383524462 74767048924 93458811155 97500273259 149534097848 186917622310 195000546518 373835244620 390001093036 487501366295 747670489240 780002186072 975002732590 1950005465180 3607510110583 3900010930360 7215020221166 14430040442332 18037550552915 28860080884664 36075101105830 72150202211660 144300404423320