328105120
328,105,120 is an even composite number composed of six prime numbers multiplied together.
328105120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 328105120:
25 × 5 × 7 × 23 × 47 × 271
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 23 × 47 × 271)See below for interesting mathematical facts about the number 328105120 from the Numbermatics database.
Names of 328105120
- Cardinal: 328105120 can be written as Three hundred twenty-eight million, one hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.2810512 × 108
Factors of 328105120
Divisors of 328105120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 47 56 70 80 92 94 112 115 140 160 161 184 188 224 230 235 271 280 322 329 368 376 460 470 542 560 644 658 736 752 805 920 940 1081 1084 1120 1288 1316 1355 1504 1610 1645 1840 1880 1897 2162 2168 2576 2632 2710 3220 3290 3680 3760 3794 4324 4336 5152 5264 5405 5420 6233 6440 6580 7520 7567 7588 8648 8672 9485 10528 10810 10840 12466 12737 12880 13160 15134 15176 17296 18970 21620 21680 24932 25474 25760 26320 30268 30352 31165 34592 37835 37940 43240 43360 43631 49864 50948 52640 60536 60704 62330 63685 75670 75880 86480 87262 89159 99728 101896 121072 124660 127370 151340 151760 172960 174524 178318 199456 203792 218155 242144 249320 254740 292951 302680 303520 349048 356636 407584 436310 445795 498640 509480 585902 605360 698096 713272 872620 891590 997280 1018960 1171804 1210720 1396192 1426544 1464755 1745240 1783180 2037920 2050657 2343608 2853088 2929510 3490480 3566360 4101314 4687216 5859020 6980960 7132720 8202628 9374432 10253285 11718040 14265440 16405256 20506570 23436080 32810512 41013140 46872160 65621024 82026280 164052560 328105120
- Sum of all divisors σ(n): 947552256
- Sum of proper divisors (its aliquot sum) s(n): 619447136
- 328105120 is an abundant number, because the sum of its proper divisors (619447136) is greater than itself. Its abundance is 291342016
Bases of 328105120
- Binary: 100111000111001111100101000002
- Hexadecimal: 0x138E7CA0
- Base-36: 5FCFJ4
Squares and roots of 328105120
- 328105120 squared (3281051202) is 107652969770214400
- 328105120 cubed (3281051203) is 35321490564812568137728000
-
The
square root of 328105120 is 18113.6721842921 -
The
cube root of 328105120 is 689.7171143123
Scales and comparisons
How big is 328105120?- 328,105,120 seconds is equal to 10 years, 22 weeks, 3 days, 12 hours, 18 minutes, 40 seconds.
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To count from 1 to 328,105,120 would take you about fifteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 328105120 cubic inches would be around 57.5 feet tall.
Recreational maths with 328105120
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