122080320
122,080,320 is an even composite number composed of six prime numbers multiplied together.
122080320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 122080320:
26 × 32 × 5 × 19 × 23 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 23 × 97)See below for interesting mathematical facts about the number 122080320 from the Numbermatics database.
Names of 122080320
- Cardinal: 122080320 can be written as One hundred twenty-two million, eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.2208032 × 108
Factors of 122080320
Divisors of 122080320
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 30 32 36 38 40 45 46 48 57 60 64 69 72 76 80 90 92 95 96 97 114 115 120 138 144 152 160 171 180 184 190 192 194 207 228 230 240 276 285 288 291 304 320 342 345 360 368 380 388 414 437 456 460 480 485 552 570 576 582 608 684 690 720 736 760 776 828 855 873 874 912 920 960 970 1035 1104 1140 1164 1216 1311 1368 1380 1440 1455 1472 1520 1552 1656 1710 1746 1748 1824 1840 1843 1940 2070 2185 2208 2231 2280 2328 2622 2736 2760 2880 2910 3040 3104 3312 3420 3492 3496 3648 3680 3686 3880 3933 4140 4365 4370 4416 4462 4560 4656 5244 5472 5520 5529 5820 6080 6208 6555 6624 6693 6840 6984 6992 7360 7372 7760 7866 8280 8730 8740 8924 9120 9215 9312 10488 10944 11040 11058 11155 11640 13110 13248 13386 13680 13968 13984 14744 15520 15732 16560 16587 17460 17480 17848 18240 18430 18624 19665 20079 20976 22080 22116 22310 23280 26220 26772 27360 27645 27936 27968 29488 31040 31464 33120 33174 33465 34920 34960 35696 36860 39330 40158 41952 42389 44232 44620 46560 52440 53544 54720 55290 55872 58976 62928 66240 66348 66930 69840 69920 71392 73720 78660 80316 82935 83904 84778 88464 89240 93120 100395 104880 107088 110580 117952 125856 127167 132696 133860 139680 139840 142784 147440 157320 160632 165870 169556 176928 178480 200790 209760 211945 214176 221160 251712 254334 265392 267720 279360 294880 314640 321264 331740 339112 353856 356960 381501 401580 419520 423890 428352 442320 508668 530784 535440 589760 629280 635835 642528 663480 678224 713920 763002 803160 847780 884640 1017336 1061568 1070880 1258560 1271670 1285056 1326960 1356448 1526004 1606320 1695560 1769280 1907505 2034672 2141760 2543340 2653920 2712896 3052008 3212640 3391120 3815010 4069344 5086680 5307840 6104016 6425280 6782240 7630020 8138688 10173360 12208032 13564480 15260040 20346720 24416064 30520080 40693440 61040160 122080320
- Sum of all divisors σ(n): 465978240
- Sum of proper divisors (its aliquot sum) s(n): 343897920
- 122080320 is an abundant number, because the sum of its proper divisors (343897920) is greater than itself. Its abundance is 221817600
Bases of 122080320
- Binary: 1110100011011001100010000002
- Hexadecimal: 0x746CC40
- Base-36: 20OLS0
Squares and roots of 122080320
- 122080320 squared (1220803202) is 14903604531302400
- 122080320 cubed (1220803203) is 1819436810334847008768000
-
The
square root of 122080320 is 11048.9963345093 -
The
cube root of 122080320 is 496.0763843513
Scales and comparisons
How big is 122080320?- 122,080,320 seconds is equal to 3 years, 45 weeks, 5 days, 23 hours, 12 minutes.
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To count from 1 to 122,080,320 would take you about five 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 122080320 cubic inches would be around 41.3 feet tall.
Recreational maths with 122080320
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