Search a number
-
+
3490171240000 = 265493412
BaseRepresentation
bin110010110010011110011…
…010101011111001000000
3110100122202000221020200111
4302302132122223321000
5424140332314140000
611231210150201104
7510104461023454
oct62623632537100
913318660836614
103490171240000
11112619a749325
12484503353194
131c41775b8053
14c0cd4a10664
1560bc2541cba
hex32c9e6abe40

3490171240000 has 105 divisors (see below), whose sum is σ = 8655416974501. Its totient is φ = 1395919040000.

The previous prime is 3490171239967. The next prime is 3490171240001. The reversal of 3490171240000 is 421710943.

The square root of 3490171240000 is 1868200.

It is a perfect power (a square), and thus also a powerful number.

3490171240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3195313551936 + 294857688064 = 1787544^2 + 543008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3490171240001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 373635330 + ... + 373644670.

Almost surely, 23490171240000 is an apocalyptic number.

3490171240000 is the 1868200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490171240000

3490171240000 is an abundant number, since it is smaller than the sum of its proper divisors (5165245734501).

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

3490171240000 is an frugal number, since it uses more digits than its factorization.

3490171240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18714 (or 9348 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

Adding to 3490171240000 its reverse (421710943), we get a palindrome (3490592950943).

The spelling of 3490171240000 in words is "three trillion, four hundred ninety billion, one hundred seventy-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 9341 10000 18682 20000 37364 40000 46705 74728 93410 149456 186820 233525 298912 373640 467050 597824 747280 934100 1167625 1494560 1868200 2335250 2989120 3736400 4670500 5838125 7472800 9341000 11676250 14945600 18682000 23352500 37364000 46705000 74728000 87254281 93410000 174508562 186820000 349017124 373640000 436271405 698034248 872542810 1396068496 1745085620 2181357025 2792136992 3490171240 4362714050 5584273984 6980342480 8725428100 10906785125 13960684960 17450856200 21813570250 27921369920 34901712400 43627140500 54533925625 69803424800 87254281000 109067851250 139606849600 174508562000 218135702500 349017124000 436271405000 698034248000 872542810000 1745085620000 3490171240000