42825503406996960
42,825,503,406,996,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42825503406996960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
42825503406996960 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 42825503406996960:
25 × 3 × 5 × 13 × 67 × 97 × 1056018071
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 67 × 97 × 1056018071)See below for interesting mathematical facts about the number 42825503406996960 from the Numbermatics database.
Names of 42825503406996960
- Cardinal: 42825503406996960 can be written as Forty-two quadrillion, eight hundred twenty-five trillion, five hundred three billion, four hundred six million, nine hundred ninety-six thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.282550340699696 × 1016
Factors of 42825503406996960
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1056018258
Divisors of 42825503406996960
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 67 78 80 96 97 104 120 130 134 156 160 194 195 201 208 240 260 268 291 312 335 388 390 402 416 480 485 520 536 582 624 670 776 780 804 871 970 1005 1040 1072 1164 1248 1261 1340 1455 1552 1560 1608 1742 1940 2010 2080 2144 2328 2522 2613 2680 2910 3104 3120 3216 3484 3783 3880 4020 4355 4656 5044 5226 5360 5820 6240 6305 6432 6499 6968 7566 7760 8040 8710 9312 10088 10452 10720 11640 12610 12998 13065 13936 15132 15520 16080 17420 18915 19497 20176 20904 23280 25220 25996 26130 27872 30264 32160 32495 34840 37830 38994 40352 41808 46560 50440 51992 52260 60528 64990 69680 75660 77988 83616 84487 97485 100880 103984 104520 121056 129980 139360 151320 155976 168974 194970 201760 207968 209040 253461 259960 302640 311952 337948 389940 418080 422435 506922 519920 605280 623904 675896 779880 844870 1013844 1039840 1267305 1351792 1559760 1689740 2027688 2534610 2703584 3119520 3379480 4055376 5069220 6758960 8110752 10138440 13517920 20276880 40553760 1056018071 2112036142 3168054213 4224072284 5280090355 6336108426 8448144568 10560180710 12672216852 13728234923 15840271065 16896289136 21120361420 25344433704 27456469846 31680542130 33792578272 41184704769 42240722840 50688867408 54912939692 63361084260 68641174615 70753210757 82369409538 84481445680 101377734816 102433752887 109825879384 126722168520 137282349230 141506421514 164738819076 168962891360 204867505774 205923523845 212259632271 219651758768 253444337040 274564698460 283012843028 307301258661 329477638152 353766053785 409735011548 411847047690 424519264542 439303517536 506888674080 512168764435 549129396920 566025686056 614602517322 658955276304 707532107570 819470023096 823694095380 849038529084 919791739841 1024337528870 1061298161355 1098258793840 1132051372112 1229205034644 1317910552608 1331638787531 1415064215140 1536506293305 1638940046192 1647388190760 1698077058168 1839583479682 2048675057740 2122596322710 2196517587680 2264102744224 2458410069288 2663277575062 2759375219523 2830128430280 3073012586610 3277880092384 3294776381520 3396154116336 3679166959364 3994916362593 4097350115480 4245192645420 4598958699205 4916820138576 5326555150124 5518750439046 5660256860560 6146025173220 6589552763040 6658193937655 6792308232672 6863061443429 7358333918728 7989832725186 8194700230960 8490385290840 9197917398410 9833640277152 10653110300248 11037500878092 11320513721120 12292050346440 13316387875310 13726122886858 13796876097615 14716667837456 15979665450372 16389400461920 16980770581680 18395834796820 19974581812965 20589184330287 21306220600496 22075001756184 24584100692880 26632775750620 27452245773716 27593752195230 29433335674912 31959330900744 33961541163360 34315307217145 36791669593640 39949163625930 41178368660574 42612441200992 44150003512368 49168201385760 53265551501240 54904491547432 55187504390460 63918661801488 68630614434290 73583339187280 79898327251860 82356737321148 88300007024736 89219798764577 102945921651435 106531103002480 109808983094864 110375008780920 127837323602976 137261228868580 147166678374560 159796654503720 164713474642296 178439597529154 205891843302870 213062206004960 219617966189728 220750017561840 267659396293731 274522457737160 319593309007440 329426949284592 356879195058308 411783686605740 441500035123680 446098993822885 535318792587462 549044915474320 639186618014880 658853898569184 713758390116616 823567373211480 892197987645770 1070637585174924 1098089830948640 1338296981468655 1427516780233232 1647134746422960 1784395975291540 2141275170349848 2676593962937310 2855033560466464 3294269492845920 3568791950583080 4282550340699696 5353187925874620 7137583901166160 8565100681399392 10706375851749240 14275167802332320 21412751703498480 42825503406996960
- Sum of all divisors σ(n): 148965660212511744
- Sum of proper divisors (its aliquot sum) s(n): 106140156805514784
- 42825503406996960 is an abundant number, because the sum of its proper divisors (106140156805514784) is greater than itself. Its abundance is 63314653398517824
Bases of 42825503406996960
- Binary: 100110000010010110010001100001011110011010111101111000002
- Hexadecimal: 0x98259185E6BDE0
- Base-36: BPODGNYSMAO
Squares and roots of 42825503406996960
- 42825503406996960 squared (428255034069969602) is 1834023742062708228588285449241600
- 42825503406996960 cubed (428255034069969603) is 78542990014219825018878682673769757978365505536000
-
The
square root of 42825503406996960 is 206943237.1617805731 -
The
cube root of 42825503406996960 is 349865.2635315137
Scales and comparisons
How big is 42825503406996960?- 42,825,503,406,996,960 seconds is equal to 1,361,718,540 years, 18 weeks, 6 days, 2 hours, 16 minutes.
-
To count from 1 to 42,825,503,406,996,960 would take you about four billion, eighty-five million, one hundred fifty-five thousand, six hundred twenty-one 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 42825503406996960 cubic inches would be around 29155.4 feet tall.
Recreational maths with 42825503406996960
- 42825503406996960 backwards is 06969960430552824
- 42825503406996960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42825503406996960's digits is 78
- More coming soon!
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The information we have on file for 42825503406996960 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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