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3200243104000 = 2853518919273
BaseRepresentation
bin101110100100011101010…
…110100111100100000000
3102022221101102222220221101
4232210131112213210000
5404413044213312000
610450101004104144
7450132002362105
oct56443526474400
912287342886841
103200243104000
111024240890578
1243828ab35054
131a2a213189a7
14b0c6d3baaac
15583a41d8e6a
hex2e91d5a7900

3200243104000 has 144 divisors (see below), whose sum is σ = 7974155694960. Its totient is φ = 1279784140800.

The previous prime is 3200243103979. The next prime is 3200243104013. The reversal of 3200243104000 is 4013420023.

It can be written as a sum of positive squares in 8 ways, for example, as 425646637056 + 2774596466944 = 652416^2 + 1665712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166038364 + ... + 166057636.

It is an arithmetic number, because the mean of its divisors is an integer number (55376081215).

Almost surely, 23200243104000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200243104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987077847480).

3200243104000 is an abundant number, since it is smaller than the sum of its proper divisors (4773912590960).

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

3200243104000 is an equidigital number, since it uses as much as digits as its factorization.

3200243104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24493 (or 24469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 3200243104000 its reverse (4013420023), we get a palindrome (3204256524023).

The spelling of 3200243104000 in words is "three trillion, two hundred billion, two hundred forty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 5189 6400 8000 10378 16000 19273 20756 25945 32000 38546 41512 51890 77092 83024 96365 103780 129725 154184 166048 192730 207560 259450 308368 332096 385460 415120 481825 518900 616736 648625 664192 770920 830240 963650 1037800 1233472 1297250 1328384 1541840 1660480 1927300 2075600 2409125 2466944 2594500 3083680 3320960 3854600 4151200 4818250 4933888 5189000 6167360 6641920 7709200 8302400 9636500 10378000 12334720 15418400 16604800 19273000 20756000 24669440 30836800 33209600 38546000 41512000 61673600 77092000 83024000 100007597 123347200 154184000 166048000 200015194 308368000 400030388 500037985 616736000 800060776 1000075970 1600121552 2000151940 2500189925 3200243104 4000303880 5000379850 6400486208 8000607760 10000759700 12500949625 12800972416 16001215520 20001519400 25001899250 25601944832 32002431040 40003038800 50003798500 64004862080 80006077600 100007597000 128009724160 160012155200 200015194000 320024310400 400030388000 640048620800 800060776000 1600121552000 3200243104000