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144532122000 = 2435373441241
BaseRepresentation
bin1000011010011011001…
…0010010100110010000
3111211001200200112100120
42012212302102212100
54332000210401000
6150221440550240
713304432523660
oct2064662224620
9454050615316
10144532122000
1156328684512
1224017622380
13108248045a6
146dd14da1a0
153b5da576a0
hex21a6c92990

144532122000 has 160 divisors (see below), whose sum is σ = 532539081984. Its totient is φ = 33035904000.

The previous prime is 144532121999. The next prime is 144532122001. The reversal of 144532122000 is 221235441.

It is an interprime number because it is at equal distance from previous prime (144532121999) and next prime (144532122001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144532122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678621 + ... + 1762620.

Almost surely, 2144532122000 is an apocalyptic number.

144532122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144532122000 is an abundant number, since it is smaller than the sum of its proper divisors (388006959984).

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

144532122000 is a wasteful number, since it uses less digits than its factorization.

144532122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441274 (or 3441258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 144532122000 its reverse (221235441), we get a palindrome (144753357441).

The spelling of 144532122000 in words is "one hundred forty-four billion, five hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 3441241 6882482 10323723 13764964 17206205 20647446 24088687 27529928 34412410 41294892 48177374 51618615 55059856 68824820 72266061 82589784 86031025 96354748 103237230 120443435 137649640 144532122 165179568 172062050 192709496 206474460 240886870 258093075 275299280 289064244 344124100 361330305 385418992 412948920 430155125 481773740 516186150 578128488 602217175 688248200 722660610 825897840 860310250 963547480 1032372300 1156256976 1204434350 1290465375 1376496400 1445321220 1720620500 1806651525 1927094960 2064744600 2408868700 2580930750 2890642440 3011085875 3441241000 3613303050 4129489200 4817737400 5161861500 5781284880 6022171750 6882482000 7226606100 9033257625 9635474800 10323723000 12044343500 14453212200 18066515250 20647446000 24088687000 28906424400 36133030500 48177374000 72266061000 144532122000