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144532212050000 = 245513721099593
BaseRepresentation
bin100000110111001110000111…
…001010000110100001010000
3200221202010220100210122021202
4200313032013022012201100
5122421003432241100000
61231221103120210332
742305051644055015
oct4067160712064120
9627663810718252
10144532212050000
1142063848834235
12142633894699a8
1362854380ac2c8
14279957999170c
1511a9934000dd5
hex837387286850

144532212050000 has 120 divisors (see below), whose sum is σ = 352571430593592. Its totient is φ = 57390890240000.

The previous prime is 144532212049999. The next prime is 144532212050029. The reversal of 144532212050000 is 50212235441.

It can be written as a sum of positive squares in 12 ways, for example, as 132515645263936 + 12016566786064 = 11511544^2 + 3466492^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3699797 + ... + 17399796.

Almost surely, 2144532212050000 is an apocalyptic number.

144532212050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144532212050000 is an abundant number, since it is smaller than the sum of its proper divisors (208039218543592).

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

144532212050000 is an equidigital number, since it uses as much as digits as its factorization.

144532212050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21099763 (or 21099737 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 144532212050000 its reverse (50212235441), we get a palindrome (144582424285441).

The spelling of 144532212050000 in words is "one hundred forty-four trillion, five hundred thirty-two billion, two hundred twelve million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 2000 2192 2500 2740 3125 3425 5000 5480 6250 6850 10000 10960 12500 13700 17125 25000 27400 34250 50000 54800 68500 85625 137000 171250 274000 342500 428125 685000 856250 1370000 1712500 3425000 6850000 21099593 42199186 84398372 105497965 168796744 210995930 337593488 421991860 527489825 843983720 1054979650 1687967440 2109959300 2637449125 2890644241 4219918600 5274898250 5781288482 8439837200 10549796500 11562576964 13187245625 14453221205 21099593000 23125153928 26374491250 28906442410 42199186000 46250307856 52748982500 57812884820 65936228125 72266106025 105497965000 115625769640 131872456250 144532212050 210995930000 231251539280 263744912500 289064424100 361330530125 527489825000 578128848200 722661060250 1054979650000 1156257696400 1445322120500 1806652650625 2890644241000 3613305301250 5781288482000 7226610602500 9033263253125 14453221205000 18066526506250 28906442410000 36133053012500 72266106025000 144532212050000