106942148320
106,942,148,320 is an even composite number composed of seven prime numbers multiplied together.
106942148320 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 106942148320:
25 × 5 × 7 × 31 × 79 × 127 × 307
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 79 × 127 × 307)See below for interesting mathematical facts about the number 106942148320 from the Numbermatics database.
Names of 106942148320
- Cardinal: 106942148320 can be written as One hundred six billion, nine hundred forty-two million, one hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0694214832 × 1011
Factors of 106942148320
Divisors of 106942148320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 79 80 112 124 127 140 155 158 160 217 224 248 254 280 307 310 316 395 434 496 508 553 560 614 620 632 635 790 868 889 992 1016 1085 1106 1120 1228 1240 1264 1270 1535 1580 1736 1778 2032 2149 2170 2212 2449 2456 2480 2528 2540 2765 3070 3160 3472 3556 3937 4064 4298 4340 4424 4445 4898 4912 4960 5080 5530 6140 6320 6944 7112 7874 8596 8680 8848 8890 9517 9796 9824 10033 10160 10745 11060 12245 12280 12640 14224 15748 17143 17192 17360 17696 17780 19034 19592 19685 20066 20320 21490 22120 24253 24490 24560 27559 28448 31496 34286 34384 34720 35560 38068 38989 39184 39370 40132 42980 44240 47585 48506 48980 49120 50165 55118 62992 66619 68572 68768 70231 71120 76136 77978 78368 78740 80264 85715 85960 88480 95170 97012 97960 100330 110236 121265 125984 133238 137144 137795 140462 142240 152272 155956 157480 160528 169771 171430 171920 190340 194024 194945 195920 200660 220472 242530 266476 272923 274288 275590 280924 304544 311023 311912 314960 321056 333095 339542 342860 343840 351155 380680 388048 389890 391840 401320 440944 485060 532952 545846 548576 551180 561848 622046 623824 629920 666190 679084 685720 702310 751843 761360 776096 779780 802640 848855 881888 970120 1065904 1091692 1102360 1123696 1208659 1244092 1247648 1332380 1358168 1364615 1371440 1404620 1503686 1522720 1555115 1559560 1605280 1697710 1940240 2131808 2177161 2183384 2204720 2247392 2417318 2488184 2664760 2716336 2729230 2742880 2809240 3007372 3080131 3110230 3119120 3395420 3759215 3880480 4354322 4366768 4409440 4834636 4976368 5262901 5329520 5432672 5458460 5618480 6014744 6043295 6160262 6220460 6238240 6790840 7518430 8460613 8708644 8733536 9669272 9952736 10525802 10659040 10885805 10916920 11236960 12029488 12086590 12320524 12440920 13581680 15036860 15400655 16921226 17417288 19338544 21051604 21560917 21771610 21833840 24058976 24173180 24641048 24881840 26314505 27163360 30073720 30801310 33842452 34834576 38677088 42103208 42303065 43121834 43543220 43667680 48346360 49282096 49763680 52629010 60147440 61602620 67684904 69669152 84206416 84606130 86243668 87086440 95484061 96692720 98564192 105258020 107804585 120294880 123205240 135369808 168412832 169212260 172487336 174172880 190968122 193385440 210516040 215609170 246410480 270739616 338424520 344974672 348345760 381936244 421032080 431218340 477420305 492820960 668388427 676849040 689949344 763872488 842064160 862436680 954840610 1336776854 1353698080 1527744976 1724873360 1909681220 2673553708 3055489952 3341942135 3449746720 3819362440 5347107416 6683884270 7638724880 10694214832 13367768540 15277449760 21388429664 26735537080 53471074160 106942148320
- Sum of all divisors σ(n): 305198530560
- Sum of proper divisors (its aliquot sum) s(n): 198256382240
- 106942148320 is an abundant number, because the sum of its proper divisors (198256382240) is greater than itself. Its abundance is 91314233920
Bases of 106942148320
- Binary: 11000111001100011111110101110111000002
- Hexadecimal: 0x18E63FAEE0
- Base-36: 1D4MLDR4
Squares and roots of 106942148320
- 106942148320 squared (1069421483202) is 11436623087296878822400
- 106942148320 cubed (1069421483203) is 1223057042481639122898167738368000
-
The
square root of 106942148320 is 327020.1038468431 -
The
cube root of 106942148320 is 4746.6036414677
Scales and comparisons
How big is 106942148320?- 106,942,148,320 seconds is equal to 3,400 years, 22 weeks, 2 days, 8 hours, 18 minutes, 40 seconds.
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To count from 1 to 106,942,148,320 would take you about six thousand, eight hundred 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 106942148320 cubic inches would be around 395.6 feet tall.
Recreational maths with 106942148320
- 106942148320 backwards is 023841249601
- 106942148320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106942148320's digits is 40
- More coming soon!
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The information we have on file for 106942148320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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