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144103573300 = 2252411371511699
BaseRepresentation
bin1000011000110100111…
…1100000011100110100
3111202221211022000001111
42012031033200130310
54330111003321200
6150111131404404
713261010106601
oct2061517403464
9452854260044
10144103573300
115612878a535
1223b17bb3704
1310786aa878b
146d906236a8
153b361050ba
hex218d3e0734

144103573300 has 144 divisors (see below), whose sum is σ = 324997948800. Its totient is φ = 55422720000.

The previous prime is 144103573291. The next prime is 144103573337. The reversal of 144103573300 is 3375301441.

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 47 ways as a sum of consecutive naturals, for example, 84815851 + ... + 84817549.

It is an arithmetic number, because the mean of its divisors is an integer number (2256930200).

Almost surely, 2144103573300 is an apocalyptic number.

144103573300 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 144103573300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162498974400).

144103573300 is an abundant number, since it is smaller than the sum of its proper divisors (180894375500).

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

144103573300 is a wasteful number, since it uses less digits than its factorization.

144103573300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 144103573300 its reverse (3375301441), we get a palindrome (147478874741).

The spelling of 144103573300 in words is "one hundred forty-four billion, one hundred three million, five hundred seventy-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 137 151 164 205 274 302 410 548 604 685 755 820 1025 1370 1510 1699 2050 2740 3020 3398 3425 3775 4100 5617 6191 6796 6850 7550 8495 11234 12382 13700 15100 16990 20687 22468 24764 28085 30955 33980 41374 42475 56170 61910 69659 82748 84950 103435 112340 123820 139318 140425 154775 169900 206870 232763 256549 278636 280850 309550 348295 413740 465526 513098 517175 561700 619100 696590 848167 931052 1026196 1034350 1163815 1282745 1393180 1696334 1741475 2068700 2327630 2565490 3392668 3482950 4240835 4655260 5130980 5819075 6413725 6965900 8481670 9543283 10518509 11638150 12827450 16963340 19086566 21037018 21204175 23276300 25654900 35147213 38173132 42074036 42408350 47716415 52592545 70294426 84816700 95432830 105185090 140588852 175736065 190865660 210370180 238582075 262962725 351472130 477164150 525925450 702944260 878680325 954328300 1051850900 1441035733 1757360650 2882071466 3514721300 5764142932 7205178665 14410357330 28820714660 36025893325 72051786650 144103573300