542407134640
542,407,134,640 is an even composite number composed of seven prime numbers multiplied together.
542407134640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 542407134640:
24 × 5 × 72 × 53 × 61 × 127 × 337
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 53 × 61 × 127 × 337)See below for interesting mathematical facts about the number 542407134640 from the Numbermatics database.
Names of 542407134640
- Cardinal: 542407134640 can be written as Five hundred forty-two billion, four hundred seven million, one hundred thirty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 5.4240713464 × 1011
Factors of 542407134640
Divisors of 542407134640
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 61 70 80 98 106 112 122 127 140 196 212 244 245 254 265 280 305 337 371 392 424 427 488 490 508 530 560 610 635 674 742 784 848 854 889 976 980 1016 1060 1220 1270 1348 1484 1685 1708 1778 1855 1960 2032 2120 2135 2359 2440 2540 2597 2696 2968 2989 3233 3370 3416 3556 3710 3920 4240 4270 4445 4718 4880 5080 5194 5392 5936 5978 6223 6466 6731 6740 6832 7112 7420 7747 8540 8890 9436 10160 10388 11795 11956 12446 12932 12985 13462 13480 14224 14840 14945 15494 16165 16513 17080 17780 17861 18872 20557 20776 22631 23590 23912 24892 25864 25970 26924 26960 29680 29890 30988 31115 32330 33026 33655 34160 35560 35722 37744 38735 41114 41552 42799 45262 47117 47180 47824 49784 51728 51940 53848 54229 59780 61976 62230 64660 66052 67310 71120 71444 77470 82228 82565 85598 89305 90524 94234 94360 99568 102785 103880 107696 108458 113155 119560 123952 124460 125027 129320 132104 134620 142888 143899 154940 158417 164456 165130 171196 178610 181048 188468 188720 205570 207760 213995 216916 226310 235585 239120 248920 250054 258640 264208 269240 271145 285776 287798 299593 309880 316834 328912 329819 330260 342392 357220 362096 376936 379603 410591 411140 427990 433832 452620 471170 497840 500108 538480 542290 575596 599186 619760 625135 633668 659638 660520 684784 714440 719495 753872 759206 792085 821182 822280 855980 867664 875189 905240 942340 1000216 1007293 1084580 1089521 1151192 1198372 1250270 1267336 1319276 1321040 1428880 1438990 1497965 1518412 1584170 1642364 1644560 1649095 1711960 1750378 1810480 1884680 1898015 2000432 2014586 2052955 2097151 2169160 2179042 2268347 2302384 2396744 2500540 2534672 2610739 2638552 2874137 2877980 2995930 3036824 3168340 3284728 3298190 3423920 3500756 3769360 3796030 4029172 4105910 4194302 4338320 4358084 4375945 4536694 4793488 5001080 5036465 5221478 5277104 5447605 5748274 5755960 5991860 6073648 6336680 6569456 6596380 7001512 7592060 7626647 8058344 8211820 8388604 8716168 8751890 9073388 10002160 10072930 10442956 10485755 10895210 11341735 11496548 11511920 11983720 12673360 13053695 13192760 14003024 14370685 15184120 15253294 15878429 16116688 16423640 16777208 17432336 17503780 18146776 18275173 20118959 20145860 20885912 20971510 21790420 22683470 22993096 23967440 26107390 26385520 28741370 30368240 30506588 31756858 32847280 33554416 35007560 36293552 36550346 38133235 40237918 40291720 41771824 41943020 43580840 45366940 45986192 52214780 53386529 57482740 61013176 63513716 70015120 73100692 76266470 79392145 80475836 80583440 83886040 87161680 90733880 91375865 100594795 104429560 106773058 111149003 114965480 122026352 127027432 127926211 138369167 146201384 152532940 158784290 160951672 167772080 181467760 182751730 201189590 208859120 213546116 222298006 229930960 254054864 255852422 266932645 276738334 292402768 305065880 317568580 321903344 365503460 402379180 427092232 444596012 511704844 533865290 553476668 555745015 610131760 635137160 639631055 691845835 731006920 804758360 854184464 889192024 968584169 1023409688 1067730580 1106953336 1111490030 1270274320 1279262110 1383691670 1462013840 1609516720 1778384048 1937168338 2046819376 2135461160 2213906672 2222980060 2558524220 2767383340 3874336676 4270922320 4445960120 4842920845 5117048440 5534766680 6780089183 7748673352 8891920240 9685841690 10234096880 11069533360 13560178366 15497346704 19371683380 27120356732 33900445915 38743366760 54240713464 67800891830 77486733520 108481426928 135601783660 271203567320 542407134640
- Sum of all divisors σ(n): 1535677138944
- Sum of proper divisors (its aliquot sum) s(n): 993270004304
- 542407134640 is an abundant number, because the sum of its proper divisors (993270004304) is greater than itself. Its abundance is 450862869664
Bases of 542407134640
- Binary: 1111110010010011111110000001101101100002
- Hexadecimal: 0x7E49FC0DB0
- Base-36: 6X6F7BN4
Squares and roots of 542407134640
- 542407134640 squared (5424071346402) is 294205499708375087929600
- 542407134640 cubed (5424071346403) is 159579162092149087054252386041344000
-
The
square root of 542407134640 is 736482.9493206207 -
The
cube root of 542407134640 is 8155.3348570341
Scales and comparisons
How big is 542407134640?- 542,407,134,640 seconds is equal to 17,246 years, 45 weeks, 1 day, 8 hours, 30 minutes, 40 seconds.
-
To count from 1 to 542,407,134,640 would take you about thirty-four thousand, four hundred ninety-three 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 542407134640 cubic inches would be around 679.6 feet tall.
Recreational maths with 542407134640
- 542407134640 backwards is 046431704245
- 542407134640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 542407134640's digits is 40
- More coming soon!
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