4142207520640
4,142,207,520,640 is an even composite number composed of seven prime numbers multiplied together.
4142207520640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4142207520640:
27 × 5 × 72 × 17 × 31 × 53 × 4729
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 17 × 31 × 53 × 4729)See below for interesting mathematical facts about the number 4142207520640 from the Numbermatics database.
Names of 4142207520640
- Cardinal: 4142207520640 can be written as Four trillion, one hundred forty-two billion, two hundred seven million, five hundred twenty thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.14220752064 × 1012
Factors of 4142207520640
Divisors of 4142207520640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 31 32 34 35 40 49 53 56 62 64 68 70 80 85 98 106 112 119 124 128 136 140 155 160 170 196 212 217 224 238 245 248 265 272 280 310 320 340 371 392 424 434 448 476 490 496 527 530 544 560 595 620 640 680 742 784 833 848 868 896 901 952 980 992 1054 1060 1085 1088 1120 1190 1240 1360 1484 1519 1568 1643 1666 1696 1736 1802 1855 1904 1960 1984 2108 2120 2170 2176 2240 2380 2480 2597 2635 2720 2968 3038 3136 3286 3332 3392 3472 3604 3689 3710 3808 3920 3968 4165 4216 4240 4340 4480 4505 4729 4760 4960 5194 5270 5440 5936 6076 6272 6307 6572 6664 6784 6944 7208 7378 7420 7595 7616 7840 8215 8330 8432 8480 8680 9010 9458 9520 9920 10388 10540 10880 11501 11872 12152 12614 12985 13144 13328 13888 14416 14756 14840 15190 15232 15680 16430 16660 16864 16960 17360 18020 18445 18916 19040 19840 20776 21080 23002 23645 23744 24304 25228 25823 25970 26288 26656 27776 27931 28832 29512 29680 30380 31360 31535 32860 33103 33320 33728 33920 34720 36040 36890 37832 38080 41552 42160 44149 46004 47290 47488 48608 50456 51646 51940 52576 53312 55862 57505 57664 59024 59360 60760 63070 65720 66206 66640 67456 69440 72080 73780 75664 76160 80393 80507 83104 84320 88298 92008 94580 97216 100912 103292 103880 105152 106624 111724 115010 115328 118048 118720 121520 126140 129115 131440 132412 133280 138880 139655 144160 146599 147560 151328 160786 161014 165515 166208 168640 176596 184016 189160 194432 195517 201824 206584 207760 210304 220745 223448 230020 231721 236096 237440 243040 250637 252280 258230 262880 264824 266560 279310 288320 293198 295120 302656 321572 322028 331030 332416 337280 353192 368032 378320 391034 401965 402535 403648 413168 415520 441490 446896 460040 463442 472192 486080 501274 504560 516460 525760 529648 533120 558620 562751 576640 586396 590240 605312 643144 644056 662060 706384 732995 736064 756640 782068 803930 805070 807296 826336 831040 882980 893792 920080 926884 972160 977585 1002548 1009120 1026193 1032920 1051520 1059296 1117240 1125502 1158605 1172792 1180480 1253185 1286288 1288112 1324120 1368619 1412768 1465990 1472128 1513280 1564136 1607860 1610140 1652672 1662080 1754459 1765960 1787584 1840160 1853768 1955170 2005096 2018240 2052386 2065840 2118592 2234480 2251004 2317210 2345584 2360960 2492183 2506370 2572576 2576224 2648240 2737238 2813755 2825536 2931980 3026560 3128272 3215720 3220280 3305344 3508918 3531920 3575168 3680320 3707536 3910340 3939257 4010192 4036480 4104772 4131680 4237184 4260829 4468960 4502008 4634420 4691168 4984366 5012740 5130965 5145152 5152448 5296480 5474476 5627510 5651072 5863960 6256544 6431440 6440560 6843095 7017836 7063840 7183351 7360640 7415072 7769747 7820680 7878514 8020384 8209544 8263360 8521658 8772295 8937920 9004016 9268840 9382336 9968732 10025480 10261930 10290304 10304896 10592960 10948952 11255020 11727920 12281213 12460915 12513088 12862880 12881120 13686190 14035672 14127680 14366702 14830144 15539494 15641360 15757028 16040768 16419088 16526720 17043316 17445281 17544590 17875840 18008032 18537680 18764672 19696285 19937464 20050960 20523860 21185920 21304145 21897904 22510040 23455840 24562426 24921830 25026176 25725760 25762240 27372380 28071344 28255360 28733404 29660288 29825803 31078988 31282720 31514056 32081536 32838176 34086632 34890562 35089180 35916755 36016064 37075360 38848735 39392570 39874928 40101920 41047720 42608290 43795808 45020080 46911680 49124852 49843660 51451520 51524480 54388229 54744760 56142688 57466808 59651606 61406065 62157976 62565440 63028112 65676352 68173264 69781124 70178360 71833510 72032128 74150720 77697470 78785140 79749856 80203840 82095440 85216580 87226405 87591616 90040160 93823360 98249704 99687320 108776458 109489520 112285376 114933616 119303212 122116967 122812130 124315952 125130880 126056224 131352704 132085699 136346528 139562248 140356720 143667020 148301440 149129015 155394940 157570280 159499712 160407680 164190880 170433160 174452810 175183232 180080320 196499408 199374640 208780621 217552916 218979040 224570752 229867232 238606424 244233934 245624260 248631904 252112448 264171398 271941145 272693056 279124496 280713440 287334040 298258030 310789880 315140560 318999424 328381760 340866320 348905620 360160640 380717603 392998816 398749280 417561242 435105832 437958080 459734464 477212848 488467868 491248520 497263808 504224896 528342796 543882290 545386112 558248992 561426880 574668080 596516060 610584835 621579760 630281120 656763520 660428495 681732640 697811240 761435206 785997632 797498560 835122484 870211664 875916160 919468928 924599893 954425696 976935736 982497040 994527616 1043903105 1056685592 1087764580 1116497984 1122853760 1149336160 1193032120 1221169670 1243159520 1260562240 1320856990 1363465280 1395622480 1522870412 1571995264 1594997120 1670244968 1740423328 1849199786 1903588015 1908851392 1953871472 1964994080 2087806210 2113371184 2175529160 2232995968 2298672320 2386064240 2442339340 2486319040 2521124480 2641713980 2726930560 2791244960 3045740824 3340489936 3480846656 3698399572 3807176030 3817702784 3907742944 3929988160 4175612420 4226742368 4351058320 4597344640 4622999465 4772128480 4884678680 4972638080 5283427960 5582489920 6091481648 6472199251 6680979872 6961693312 7396799144 7614352060 7815485888 7859976320 8351224840 8453484736 8702116640 9245998930 9544256960 9769357360 10566855920 11164979840 12182963296 12944398502 13361959744 14793598288 15228704120 15630971776 16702449680 16906969472 17404233280 18491997860 19088513920 19538714720 21133711840 24365926592 25888797004 26723919488 29587196576 30457408240 32360996255 33404899360 34808466560 36983995720 39077429440 42267423680 48731853184 51777594008 59174393152 60914816480 64721992510 66809798720 73967991440 78154858880 84534847360 103555188016 118348786304 121829632960 129443985020 133619597440 147935982880 207110376032 243659265920 258887970040 295871965760 414220752064 517775940080 591743931520 828441504128 1035551880160 2071103760320 4142207520640
- Sum of all divisors σ(n): 12830502643200
- Sum of proper divisors (its aliquot sum) s(n): 8688295122560
- 4142207520640 is an abundant number, because the sum of its proper divisors (8688295122560) is greater than itself. Its abundance is 4546087601920
Bases of 4142207520640
- Binary: 1111000100011011101100111011001111100000002
- Hexadecimal: 0x3C46ECECF80
- Base-36: 1GUWJEQ9S
Squares and roots of 4142207520640
- 4142207520640 squared (41422075206402) is 17157883144046576026009600
- 4142207520640 cubed (41422075206403) is 71071512597532015657378489368838144000
-
The
square root of 4142207520640 is 2035241.3912457659 -
The
cube root of 4142207520640 is 16059.9412028387
Scales and comparisons
How big is 4142207520640?- 4,142,207,520,640 seconds is equal to 131,709 years, 20 weeks, 16 hours, 10 minutes, 40 seconds.
-
To count from 1 to 4,142,207,520,640 would take you about three hundred twenty-nine thousand, two hundred seventy-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 4142207520640 cubic inches would be around 1338.3 feet tall.
Recreational maths with 4142207520640
- 4142207520640 backwards is 0460257022414
- The number of decimal digits it has is: 13
- The sum of 4142207520640's digits is 37
- More coming soon!
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