1338193920
1,338,193,920 is an even composite number composed of five prime numbers multiplied together.
1338193920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1338193920:
211 × 3 × 5 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 127)See below for interesting mathematical facts about the number 1338193920 from the Numbermatics database.
Names of 1338193920
- Cardinal: 1338193920 can be written as One billion, three hundred thirty-eight million, one hundred ninety-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.33819392 × 109
Factors of 1338193920
Divisors of 1338193920
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 127 128 140 147 160 168 192 196 210 224 240 245 254 256 280 294 320 336 343 381 384 392 420 448 480 490 508 512 560 588 635 640 672 686 735 762 768 784 840 889 896 960 980 1016 1024 1029 1120 1176 1270 1280 1344 1372 1470 1524 1536 1568 1680 1715 1778 1792 1905 1920 1960 2032 2048 2058 2240 2352 2540 2560 2667 2688 2744 2940 3048 3072 3136 3360 3430 3556 3584 3810 3840 3920 4064 4116 4445 4480 4704 5080 5120 5145 5334 5376 5488 5880 6096 6144 6223 6272 6720 6860 7112 7168 7620 7680 7840 8128 8232 8890 8960 9408 10160 10240 10290 10668 10752 10976 11760 12192 12446 12544 13335 13440 13720 14224 14336 15240 15360 15680 16256 16464 17780 17920 18669 18816 20320 20580 21336 21504 21952 23520 24384 24892 25088 26670 26880 27440 28448 30480 30720 31115 31360 32512 32928 35560 35840 37338 37632 40640 41160 42672 43008 43561 43904 47040 48768 49784 50176 53340 53760 54880 56896 60960 62230 62720 65024 65856 71120 71680 74676 75264 81280 82320 85344 87122 87808 93345 94080 97536 99568 100352 106680 107520 109760 113792 121920 124460 125440 130048 130683 131712 142240 149352 150528 162560 164640 170688 174244 175616 186690 188160 195072 199136 213360 215040 217805 219520 227584 243840 248920 250880 260096 261366 263424 284480 298704 301056 325120 329280 341376 348488 351232 373380 376320 390144 398272 426720 435610 439040 455168 487680 497840 501760 522732 526848 568960 597408 650240 653415 658560 682752 696976 702464 746760 752640 780288 796544 853440 871220 878080 910336 975360 995680 1045464 1053696 1137920 1194816 1300480 1306830 1317120 1365504 1393952 1493520 1505280 1593088 1706880 1742440 1756160 1820672 1950720 1991360 2090928 2107392 2275840 2389632 2613660 2634240 2731008 2787904 2987040 3186176 3413760 3484880 3512320 3901440 3982720 4181856 4551680 4779264 5227320 5268480 5462016 5575808 5974080 6372352 6827520 6969760 7965440 8363712 9103360 9558528 10454640 10536960 11151616 11948160 12744704 13655040 13939520 15930880 16727424 19117056 20909280 22303232 23896320 27310080 27879040 31861760 33454848 38234112 41818560 44606464 47792640 55758080 63723520 66909696 83637120 89212928 95585280 111516160 133819392 167274240 191170560 223032320 267638784 334548480 446064640 669096960 1338193920
- Sum of all divisors σ(n): 5031936000
- Sum of proper divisors (its aliquot sum) s(n): 3693742080
- 1338193920 is an abundant number, because the sum of its proper divisors (3693742080) is greater than itself. Its abundance is 2355548160
Bases of 1338193920
- Binary: 10011111100001100111000000000002
- Hexadecimal: 0x4FC33800
- Base-36: M4Q51C
Squares and roots of 1338193920
- 1338193920 squared (13381939202) is 1790762967524966400
- 1338193920 cubed (13381939203) is 2396388115303067484684288000
-
The
square root of 1338193920 is 36581.3329445497 -
The
cube root of 1338193920 is 1101.9782363569
Scales and comparisons
How big is 1338193920?- 1,338,193,920 seconds is equal to 42 years, 28 weeks, 4 days, 8 hours, 32 minutes.
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To count from 1 to 1,338,193,920 would take you about eighty-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 1338193920 cubic inches would be around 91.8 feet tall.
Recreational maths with 1338193920
- 1338193920 backwards is 0293918331
- The number of decimal digits it has is: 10
- The sum of 1338193920's digits is 39
- More coming soon!
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