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2004143132000 = 25534219118757
BaseRepresentation
bin11101001010100000001…
…111010100110101100000
321002121001011212202121102
4131022200033110311200
5230313441120211000
64132405102413532
7264536351355062
oct35124017246540
97077034782542
102004143132000
11702a52606219
122844bb5912a8
13116cb3a1b879
146d002c21732
15371ebac73d5
hex1d2a03d4d60

2004143132000 has 96 divisors (see below), whose sum is σ = 4925388293280. Its totient is φ = 801460492800.

The previous prime is 2004143131967. The next prime is 2004143132029. The reversal of 2004143132000 is 2313414002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16816622 + ... + 16935378.

It is an arithmetic number, because the mean of its divisors is an integer number (51306128055).

Almost surely, 22004143132000 is an apocalyptic number.

2004143132000 is a gapful number since it is divisible by the number (20) 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 2004143132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462694146640).

2004143132000 is an abundant number, since it is smaller than the sum of its proper divisors (2921245161280).

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

2004143132000 is a wasteful number, since it uses less digits than its factorization.

2004143132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123001 (or 122983 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2004143132000 its reverse (2313414002), we get a palindrome (2006456546002).

The spelling of 2004143132000 in words is "two trillion, four billion, one hundred forty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 4219 8438 16876 21095 33752 42190 67504 84380 105475 118757 135008 168760 210950 237514 337520 421900 475028 527375 593785 675040 843800 950056 1054750 1187570 1687600 1900112 2109500 2375140 2968925 3375200 3800224 4219000 4750280 5937850 8438000 9500560 11875700 14844625 16876000 19001120 23751400 29689250 47502800 59378500 95005600 118757000 237514000 475028000 501035783 1002071566 2004143132 2505178915 4008286264 5010357830 8016572528 10020715660 12525894575 16033145056 20041431320 25051789150 40082862640 50103578300 62629472875 80165725280 100207156600 125258945750 200414313200 250517891500 400828626400 501035783000 1002071566000 2004143132000