122290080
122,290,080 is an even composite number composed of seven prime numbers multiplied together.
122290080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 122290080:
25 × 3 × 5 × 11 × 19 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 19 × 23 × 53)See below for interesting mathematical facts about the number 122290080 from the Numbermatics database.
Names of 122290080
- Cardinal: 122290080 can be written as One hundred twenty-two million, two hundred ninety thousand and eighty.
Scientific notation
- Scientific notation: 1.2229008 × 108
Factors of 122290080
Divisors of 122290080
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 23 24 30 32 33 38 40 44 46 48 53 55 57 60 66 69 76 80 88 92 95 96 106 110 114 115 120 132 138 152 159 160 165 176 184 190 209 212 220 228 230 240 253 264 265 276 285 304 318 330 345 352 368 380 418 424 437 440 456 460 480 506 528 530 552 570 583 608 627 636 660 690 736 759 760 795 836 848 874 880 912 920 1007 1012 1045 1056 1060 1104 1140 1166 1219 1254 1265 1272 1311 1320 1380 1518 1520 1590 1672 1696 1748 1749 1760 1824 1840 2014 2024 2090 2120 2185 2208 2280 2332 2438 2508 2530 2544 2622 2640 2760 2915 3021 3036 3040 3135 3180 3344 3496 3498 3657 3680 3795 4028 4048 4180 4240 4370 4560 4664 4807 4876 5016 5035 5060 5088 5244 5280 5520 5830 6042 6072 6095 6270 6360 6555 6688 6992 6996 7314 7590 8056 8096 8360 8480 8740 8745 9120 9328 9614 9752 10032 10070 10120 10488 11040 11077 11660 12084 12144 12190 12540 12720 13110 13409 13984 13992 14421 14628 15105 15180 16112 16720 17480 17490 18285 18656 19228 19504 20064 20140 20240 20976 22154 23161 23320 24035 24168 24288 24380 25080 25440 26220 26818 27984 28842 29256 30210 30360 32224 33231 33440 34960 34980 36570 38456 39008 40227 40280 40480 41952 44308 46322 46640 48070 48336 48760 50160 52440 53636 55385 55968 57684 58512 60420 60720 66462 67045 69483 69920 69960 72105 73140 76912 80454 80560 88616 92644 93280 96140 96672 97520 100320 104880 107272 110770 115368 115805 117024 120840 121440 132924 134090 138966 139920 144210 146280 153824 160908 161120 166155 177232 185288 192280 195040 201135 209760 214544 221540 230736 231610 241680 254771 265848 268180 277932 279840 288420 292560 321816 332310 347415 354464 370576 384560 402270 429088 443080 461472 463220 483360 509542 531696 536360 555864 576840 585120 643632 664620 694830 741152 764313 769120 804540 886160 926440 1019084 1063392 1072720 1111728 1153680 1273855 1287264 1329240 1389660 1528626 1609080 1772320 1852880 2038168 2145440 2223456 2307360 2547710 2658480 2779320 3057252 3218160 3705760 3821565 4076336 5095420 5316960 5558640 6114504 6436320 7643130 8152672 10190840 11117280 12229008 15286260 20381680 24458016 30572520 40763360 61145040 122290080
- Sum of all divisors σ(n): 470292480
- Sum of proper divisors (its aliquot sum) s(n): 348002400
- 122290080 is an abundant number, because the sum of its proper divisors (348002400) is greater than itself. Its abundance is 225712320
Bases of 122290080
- Binary: 1110100100111111111101000002
- Hexadecimal: 0x749FFA0
- Base-36: 20T3MO
Squares and roots of 122290080
- 122290080 squared (1222900802) is 14954863666406400
- 122290080 cubed (1222900803) is 1828831474153931968512000
-
The
square root of 122290080 is 11058.4845254673 -
The
cube root of 122290080 is 496.3603434199
Scales and comparisons
How big is 122290080?- 122,290,080 seconds is equal to 3 years, 46 weeks, 1 day, 9 hours, 28 minutes.
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To count from 1 to 122,290,080 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 122290080 cubic inches would be around 41.4 feet tall.
Recreational maths with 122290080
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