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216144354000 = 2435336024059
BaseRepresentation
bin1100100101001100110…
…1010001101011010000
3202122220110201211202110
43021103031101223100
512020130423312000
6243143443345320
721421154460321
oct3112315215320
9678813654673
10216144354000
1183736942323
1235a82382240
13174c7c78473
14a6662ac448
155950981850
hex3253351ad0

216144354000 has 80 divisors (see below), whose sum is σ = 696849416640. Its totient is φ = 57638492800.

The previous prime is 216144353987. The next prime is 216144354001. The reversal of 216144354000 is 453441612.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216144354001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18006030 + ... + 18018029.

It is an arithmetic number, because the mean of its divisors is an integer number (8710617708).

Almost surely, 2216144354000 is an apocalyptic number.

216144354000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216144354000 is an abundant number, since it is smaller than the sum of its proper divisors (480705062640).

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

216144354000 is a wasteful number, since it uses less digits than its factorization.

216144354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36024085 (or 36024069 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 216144354000 its reverse (453441612), we get a palindrome (216597795612).

The spelling of 216144354000 in words is "two hundred sixteen billion, one hundred forty-four million, three hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 36024059 72048118 108072177 144096236 180120295 216144354 288192472 360240590 432288708 540360885 576384944 720481180 864577416 900601475 1080721770 1440962360 1729154832 1801202950 2161443540 2701804425 2881924720 3602405900 4322887080 4503007375 5403608850 7204811800 8645774160 9006014750 10807217700 13509022125 14409623600 18012029500 21614435400 27018044250 36024059000 43228870800 54036088500 72048118000 108072177000 216144354000