420145240680
420,145,240,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 420145240680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
420145240680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 420145240680:
23 × 36 × 5 × 11 × 29 × 312 × 47
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 29 × 31 × 31 × 47)See below for interesting mathematical facts about the number 420145240680 from the Numbermatics database.
Names of 420145240680
- Cardinal: 420145240680 can be written as Four hundred twenty billion, one hundred forty-five million, two hundred forty thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2014524068 × 1011
Factors of 420145240680
Divisors of 420145240680
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 31 33 36 40 44 45 47 54 55 58 60 62 66 72 81 87 88 90 93 94 99 108 110 116 120 124 132 135 141 145 155 162 165 174 180 186 188 198 216 220 232 235 243 248 261 264 270 279 282 290 297 310 319 324 330 341 348 360 372 376 396 405 423 435 440 465 470 486 495 517 522 540 558 564 580 594 620 638 648 660 682 696 705 729 744 783 792 810 837 846 870 891 899 930 940 957 961 972 990 1023 1034 1044 1080 1116 1128 1160 1188 1215 1240 1269 1276 1305 1320 1363 1364 1395 1410 1457 1458 1485 1551 1566 1595 1620 1674 1692 1705 1740 1782 1798 1860 1880 1914 1922 1944 1980 2046 2068 2088 2115 2232 2349 2376 2430 2511 2538 2552 2585 2610 2673 2697 2726 2728 2790 2820 2871 2883 2914 2916 2970 3069 3102 3132 3190 3240 3348 3384 3410 3480 3564 3596 3645 3720 3807 3828 3844 3915 3960 4089 4092 4136 4185 4230 4371 4455 4495 4653 4698 4785 4805 4860 5022 5076 5115 5170 5220 5346 5394 5452 5580 5640 5742 5766 5828 5832 5940 6138 6204 6264 6345 6380 6696 6815 6820 7047 7128 7192 7285 7290 7533 7614 7656 7688 7755 7830 8019 8091 8178 8184 8370 8460 8613 8649 8742 8910 8990 9207 9306 9396 9570 9610 9720 9889 10044 10152 10230 10340 10440 10571 10692 10788 10904 11160 11421 11484 11532 11656 11745 11880 12267 12276 12408 12555 12690 12760 13113 13365 13485 13630 13640 13959 14094 14355 14415 14570 14580 14993 15066 15228 15345 15510 15660 16027 16038 16182 16356 16740 16920 17226 17298 17484 17820 17980 18414 18612 18792 19035 19140 19220 19778 20088 20445 20460 20680 21141 21142 21384 21576 21855 22599 22842 22968 23064 23265 23490 24273 24534 24552 25110 25380 25839 25947 26226 26730 26970 27260 27621 27869 27918 28188 28710 28830 29140 29160 29667 29986 30132 30456 30690 31020 31320 31713 32054 32076 32364 32712 33480 34263 34452 34596 34968 35235 35640 35960 36801 36828 37224 37665 38070 38280 38440 39339 39556 40095 40455 40890 40920 41877 42253 42282 42284 43065 43245 43710 44979 45167 45198 45684 46035 46530 46980 48081 48546 49068 49445 50220 50760 51678 51894 52452 52855 53460 53940 54520 55242 55738 55836 56376 57105 57420 57660 58280 59334 59972 60264 61335 61380 62040 63426 64108 64152 64728 65565 68526 68904 69192 69795 70470 72819 73602 73656 74965 75330 76140 77517 77841 78678 79112 80135 80190 80910 81780 82863 83607 83754 84506 84564 84568 86130 86490 87420 89001 89958 90334 90396 91368 92070 93060 93960 95139 96162 97092 98136 98890 100440 103356 103788 104904 105705 105710 106920 107880 110403 110484 111476 111672 112995 114210 114840 115320 118017 118668 119944 121365 122670 122760 125631 126759 126852 128216 129195 129735 131130 134937 135501 137052 138105 139345 139590 140940 144243 145638 147204 148335 149930 150660 152280 155034 155682 157356 158565 160270 160380 161820 163560 165726 167214 167508 169012 169128 171315 172260 172980 174840 178002 179916 180668 180792 184005 184140 186120 190278 192324 194184 196695 197780 206712 207576 209385 211265 211410 211420 218457 220806 220968 222952 224895 225835 225990 228420 232551 233523 236034 237336 240405 242730 245340 248589 250821 251262 253518 253704 258390 259470 262260 267003 269874 271002 274104 276210 278690 279180 281880 285417 288486 291276 294408 296670 299860 301320 306559 310068 311364 314712 317130 320540 320760 323640 331209 331452 334428 335016 338024 342630 344520 345960 354051 356004 359832 361336 364095 368010 368280 376893 380277 380556 384648 387585 389205 393390 395560 404811 406503 414315 418035 418770 422530 422820 422840 432729 436914 441612 445005 449790 451670 451980 456840 464783 465102 467046 472068 475695 480810 485460 490680 496837 497178 501642 502524 507036 516780 518940 524520 534006 539748 542004 552015 552420 557380 558360 570834 576972 582552 590085 593340 599720 613118 620136 622728 628155 633795 634260 641080 655371 662418 662904 668856 674685 677505 685260 700569 708102 712008 721215 728190 736020 752463 753786 760554 761112 775170 778410 786780 801009 809622 813006 828630 836070 837540 845060 845640 856251 865458 873828 883224 890010 899580 903340 903960 919677 929566 930204 934092 944136 951390 961620 970920 993627 993674 994356 1003284 1005048 1014072 1033560 1037880 1062153 1068012 1079496 1084008 1092285 1104030 1104840 1114760 1140831 1141668 1153944 1162755 1167615 1180170 1186680 1214433 1219509 1226236 1242945 1254105 1256310 1267590 1268520 1298187 1309843 1310742 1324836 1335015 1349370 1355010 1370520 1394349 1401138 1416204 1427085 1442430 1456380 1472040 1490511 1504926 1507572 1521108 1532795 1550340 1556820 1573560 1602018 1619244 1626012 1656045 1657260 1672140 1675080 1690120 1712502 1730916 1747656 1770255 1780020 1799160 1806680 1839354 1859132 1860408 1868184 1884465 1901385 1902780 1923240 1987254 1987348 1988712 2006568 2024055 2032515 2124306 2136024 2163645 2184570 2208060 2257389 2281662 2283336 2323915 2325510 2335230 2360340 2403027 2428866 2439018 2452472 2484185 2485890 2508210 2512620 2535180 2568753 2596374 2619686 2621484 2649672 2670030 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9612108 9715464 9756072 9936270 9936740 9943560 10032840 10267479 10275012 10385496 10478744 10621530 10680120 10929897 10975581 11036124 11154792 11286945 11408310 11416680 11683683 11788587 11924088 12015135 12144330 12195090 12262360 12549141 12843765 12981870 13098430 13107420 13248360 13414599 13544334 13689972 13795155 13943490 14011380 14162040 14408273 14418162 14573196 14634108 14905110 15049260 15075720 15211080 15412518 15578244 15718116 16020180 16192440 16260120 16554186 16732188 17112465 17125020 17309160 17886132 18059112 18216495 18292635 18393540 18591320 19224216 19472805 19647645 19872540 19873480 20316501 20534958 20550024 20915235 21243060 21859794 21951162 22072248 22357665 22573890 22816620 23367366 23577174 24030270 24288660 24390180 24831279 25098282 25687530 25963740 26196860 26214840 26829198 27088668 27379944 27590310 27886980 28022760 28816546 28836324 29146392 29268216 29810220 30098520 30802437 30825036 31156488 31436232 32040360 32926743 33108372 33464376 33860835 34224930 34250040 35365761 35772264 36045405 36432990 36585270 36787080 37647423 38531295 38945610 39295290 39745080 40243797 40633002 41069916 41385465 41830470 42486120 43224819 43719588 43902324 44715330 45147780 45633240 46734732 47154348 48060540 48577320 48780360 49662558 50196564 51337395 51375060 51927480 52393720 53658396 54177336 54649485 54877905 55180620 55773960 57633092 57672648 58418415 58942935 59620440 61604874 61650072 62745705 65853486 66216744 67072995 67721670 68449860 70731522 72041365 72090810 72865980 73170540 74493837 75294846 77062590 77891220 78590580 80487594 81266004 82139832 82770930 83660940 86449638 87439176 87804648 89430660 90295560 93469464 94308696 96121080 99325116 100393128 101582505 102674790 102750120 106097283 107316792 109298970 109755810 110361240 112942269 115266184 116836830 117885870 120731391 123209748 124156395 125491410 129674457 131706972 134145990 135443340 136899720 141463044 144082730 144181620 145731960 146341080 148987674 150589692 154012185 154125180 155782440 157181160 160975188 162532008 164633715 165541860 167321880 172899276 176828805 178861320 188237115 198650232 201218985 203165010 205349580 212194566 216124095 218597940 219511620 223481511 225884538 233673660 235771740 241462782 246419496 248312790 250982820 259348914 263413944 268291980 270886680 282926088 288165460 288363240 297975348 301179384 308024370 308250360 318291849 321950376 329267430 331083720 338826807 345798552 353657610 362194173 372469185 376474230 389023371 402437970 406330020 410699160 424389132 432248190 437195880 439023240 446963022 451769076 467347320 471543480 482925564 496625580 501965640 518697828 530486415 536583960 564711345 576330920 595950696 603656955 616048740 636583698 648372285 658534860 677653614 707315220 724388346 744938370 752948460 778046742 804875940 812660040 848778264 864496380 893926044 903538152 954875547 965851128 993251160 1037395656 1060972830 1117407555 1129422690 1167070113 1207313910 1232097480 1273167396 1296744570 1317069720 1355307228 1414630440 1448776692 1489876740 1505896920 1556093484 1591459245 1609751880 1694134035 1728992760 1787852088 1810970865 1909751094 1945116855 2121945660 2234815110 2258845380 2334140226 2414627820 2546334792 2593489140 2710614456 2897553384 2979753480 3112186968 3182918490 3388268070 3501210339 3621941730 3819502188 3890233710 4243891320 4469630220 4517690760 4668280452 4774377735 4829255640 5186978280 5835350565 6365836980 6776536140 7002420678 7243883460 7639004376 7780467420 8939260440 9336560904 9548755470 10503631017 11670701130 12731673960 13553072280 14004841356 14487766920 15560934840 17506051695 19097510940 21007262034 23341402260 28009682712 35012103390 38195021880 42014524068 46682804520 52518155085 70024206780 84029048136 105036310170 140048413560 210072620340 420145240680
- Sum of all divisors σ(n): 1687934764800
- Sum of proper divisors (its aliquot sum) s(n): 1267789524120
- 420145240680 is an abundant number, because the sum of its proper divisors (1267789524120) is greater than itself. Its abundance is 847644283440
Bases of 420145240680
- Binary: 1100001110100101001101110011010011010002
- Hexadecimal: 0x61D29B9A68
- Base-36: 5D0FMMI0
Squares and roots of 420145240680
- 420145240680 squared (4201452406802) is 176522023266055126862400
- 420145240680 cubed (4201452406803) is 74164887950437290949750981242432000
-
The
square root of 420145240680 is 648186.1157723143 -
The
cube root of 420145240680 is 7489.7355329039
Scales and comparisons
How big is 420145240680?- 420,145,240,680 seconds is equal to 13,359 years, 16 weeks, 4 days, 3 hours, 18 minutes.
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To count from 1 to 420,145,240,680 would take you about twenty-six thousand, seven hundred eighteen 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 420145240680 cubic inches would be around 624.1 feet tall.
Recreational maths with 420145240680
- 420145240680 backwards is 086042541024
- 420145240680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 420145240680's digits is 36
- More coming soon!
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The information we have on file for 420145240680 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!
Keywords: Divisors of 420145240680, math, Factors of 420145240680, curriculum, school, college, exams, university, Prime factorization of 420145240680, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty billion, one hundred forty-five million, two hundred forty thousand, six hundred eighty.