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144321043100 = 225213415926693
BaseRepresentation
bin1000011001101000110…
…1000101101010011100
3111210111222111121112112
42012122031011222130
54331032141334400
6150144500453152
713266260424413
oct2063215055234
9453458447475
10144321043100
115622a514843
1223b789aa1b8
13107bcb6b630
146db147247a
153b4a260835
hex219a345a9c

144321043100 has 72 divisors (see below), whose sum is σ = 337360907520. Its totient is φ = 53272961280.

The previous prime is 144321043099. The next prime is 144321043133. The reversal of 144321043100 is 1340123441.

It is a super-3 number, since 3×1443210431003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 5393354 + ... + 5420046.

It is an arithmetic number, because the mean of its divisors is an integer number (4685568160).

Almost surely, 2144321043100 is an apocalyptic number.

144321043100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144321043100 is an abundant number, since it is smaller than the sum of its proper divisors (193039864420).

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

144321043100 is a wasteful number, since it uses less digits than its factorization.

144321043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30879 (or 30872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 144321043100 its reverse (1340123441), we get a palindrome (145661166541).

The spelling of 144321043100 in words is "one hundred forty-four billion, three hundred twenty-one million, forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4159 8318 16636 20795 26693 41590 53386 54067 83180 103975 106772 108134 133465 207950 216268 266930 270335 347009 415900 533860 540670 667325 694018 1081340 1334650 1351675 1388036 1735045 2669300 2703350 3470090 5406700 6940180 8675225 17350450 34700900 111016187 222032374 444064748 555080935 1110161870 1443210431 2220323740 2775404675 2886420862 5550809350 5772841724 7216052155 11101618700 14432104310 28864208620 36080260775 72160521550 144321043100