2142020662400
2,142,020,662,400 is an even composite number composed of seven prime numbers multiplied together.
2142020662400 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 2142020662400:
27 × 52 × 19 × 41 × 73 × 79 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 41 × 73 × 79 × 149)See below for interesting mathematical facts about the number 2142020662400 from the Numbermatics database.
Names of 2142020662400
- Cardinal: 2142020662400 can be written as Two trillion, one hundred forty-two billion, twenty million, six hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.1420206624 × 1012
Factors of 2142020662400
Divisors of 2142020662400
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 41 50 64 73 76 79 80 82 95 100 128 146 149 152 158 160 164 190 200 205 292 298 304 316 320 328 365 380 395 400 410 475 584 596 608 632 640 656 730 745 760 779 790 800 820 950 1025 1168 1192 1216 1264 1312 1387 1460 1490 1501 1520 1558 1580 1600 1640 1825 1900 1975 2050 2336 2384 2432 2528 2624 2774 2831 2920 2980 2993 3002 3040 3116 3160 3200 3239 3280 3650 3725 3800 3895 3950 4100 4672 4768 5056 5248 5548 5662 5767 5840 5960 5986 6004 6080 6109 6232 6320 6478 6560 6935 7300 7450 7505 7600 7790 7900 8200 9344 9536 10112 10877 11096 11324 11534 11680 11771 11920 11972 12008 12160 12218 12464 12640 12956 13120 13870 14155 14600 14900 14965 15010 15200 15580 15800 16195 16400 19072 19475 21754 22192 22648 23068 23360 23542 23840 23944 24016 24436 24928 25280 25912 26240 27740 28310 28835 29200 29800 29930 30020 30400 30545 31160 31600 32390 32800 34675 37525 38950 43508 44384 45296 46136 46720 47084 47680 47888 48032 48872 49856 50560 51824 54385 55480 56620 56867 57670 58400 58855 59600 59860 60040 60800 61090 61541 62320 63200 64780 65600 69350 70775 74825 75050 77900 80975 87016 88768 90592 92272 94168 95360 95776 96064 97744 99712 103648 108770 109573 110960 113240 113734 115340 116071 116800 117710 119200 119720 120080 122180 123082 124640 126400 129560 131200 138700 141550 144175 149650 150100 152725 155800 161950 174032 177536 181184 184544 188336 191552 192128 195488 206663 207296 217540 219146 221920 223649 226480 227468 230680 232142 233600 235420 236447 238400 239440 240160 244360 246164 249280 252800 259120 271925 277400 283100 284335 288350 294275 299300 300200 305450 307705 311600 323900 348064 362368 369088 376672 383104 390976 413326 414592 435080 438292 443840 445957 447298 452960 454936 461360 464284 470840 472894 476800 478880 480320 482611 488720 492328 498560 518240 543850 547865 554800 566200 568670 576700 580355 588550 598600 600400 610900 615410 623200 647800 696128 738176 753344 781952 826652 859283 870160 876584 887680 891914 894596 905920 909872 922720 928568 941680 945788 957760 960640 965222 977440 984656 1033315 1036480 1087700 1095730 1109600 1118245 1132400 1137340 1153400 1160710 1177100 1182235 1197200 1200800 1221800 1230820 1246400 1295600 1392256 1421675 1506688 1538525 1653304 1718566 1740320 1753168 1783828 1789192 1811840 1819744 1845440 1857136 1883360 1891576 1915520 1930444 1954880 1969312 2066630 2072960 2175400 2191460 2219200 2229785 2236490 2264800 2274680 2306800 2321420 2354200 2364470 2394400 2401600 2413055 2443600 2461640 2492800 2591200 2739325 2843350 2901775 3077050 3306608 3437132 3480640 3506336 3567656 3578384 3639488 3690880 3714272 3766720 3783152 3860888 3909760 3938624 4133260 4296415 4350800 4382920 4438400 4459570 4472980 4492493 4529600 4549360 4613600 4642840 4708400 4728940 4788800 4803200 4826110 4887200 4923280 5166575 5182400 5478650 5591225 5686700 5803550 5911175 6154100 6613216 6874264 6961280 7012672 7135312 7156768 7278976 7428544 7533440 7566304 7721776 7877248 8266520 8473183 8592830 8701600 8765840 8919140 8945960 8984986 9059200 9098720 9169609 9227200 9285680 9416800 9457880 9577600 9652220 9774400 9846560 10333150 10364800 10957300 11148925 11182450 11373400 11607100 11822350 12065275 12308200 13226432 13748528 14025344 14270624 14313536 14857088 15132608 15443552 16326377 16533040 16946366 17185660 17403200 17531680 17838280 17891920 17969972 18197440 18339218 18454400 18571360 18833600 18915760 19304440 19548800 19693120 20666300 21482075 21914600 22297850 22364900 22462465 22746800 23214200 23644700 24130550 24616400 26452864 27497056 28541248 28627072 30265216 30887104 32652754 33066080 33892732 34371320 34806400 35063360 35230603 35676560 35783840 35939944 36394880 36678436 37142720 37667200 37831520 38608880 39386240 41332600 42365915 42964150 43829200 44595700 44729800 44924930 45493600 45848045 46428400 47289400 48261100 49232800 54994112 57082496 61774208 65305508 66132160 67785464 68742640 70126720 70461206 71353120 71567680 71879888 73356872 74285440 75663040 77217760 81631885 82665200 84731830 85928300 87658400 89191400 89459600 89849860 90987200 91696090 92856800 94578800 96522200 98465600 109988224 112312325 130611016 132264320 135570928 137485280 140922412 142706240 143135360 143759776 146713744 151326080 154435520 163263770 165330400 169463660 171856600 175316800 176153015 178382800 178919200 179699720 181974400 183392180 185713600 189157600 193044400 196931200 211829575 224624650 229240225 261222032 271141856 274970560 281844824 285412480 287519552 293427488 308871040 326527540 330660800 338927320 343713200 350633600 352306030 356765600 357838400 359399440 366784360 371427200 378315200 386088800 408159425 423659150 449249300 458480450 522444064 542283712 549941120 563689648 575039104 586854976 653055080 661321600 669381457 677854640 687426400 704612060 713531200 715676800 718798880 733568720 756630400 772177600 816318850 847318300 880765075 898498600 916960900 1044888128 1084567424 1127379296 1173709952 1306110160 1338762914 1355709280 1374852800 1409224120 1427062400 1437597760 1467137440 1544355200 1632637700 1694636600 1761530150 1796997200 1833921800 2089776256 2254758592 2612220320 2677525828 2711418560 2749705600 2818448240 2875195520 2934274880 3265275400 3346907285 3389273200 3523060300 3593994400 3667843600 4509517184 5224440640 5355051656 5422837120 5636896480 5868549760 6530550800 6693814570 6778546400 7046120600 7187988800 7335687200 10448881280 10710103312 11273792960 13061101600 13387629140 13557092800 14092241200 14375977600 14671374400 16734536425 21420206624 22547585920 26122203200 26775258280 27114185600 28184482400 29342748800 33469072850 42840413248 52244406400 53550516560 56368964800 66938145700 85680826496 107101033120 112737929600 133876291400 214202066240 267752582800 428404132480 535505165600 1071010331200 2142020662400
- Sum of all divisors σ(n): 5896497600000
- Sum of proper divisors (its aliquot sum) s(n): 3754476937600
- 2142020662400 is an abundant number, because the sum of its proper divisors (3754476937600) is greater than itself. Its abundance is 1612456275200
Bases of 2142020662400
- Binary: 111110010101110100110000101110100100000002
- Hexadecimal: 0x1F2BA617480
- Base-36: RC13SOZK
Squares and roots of 2142020662400
- 2142020662400 squared (21420206624002) is 4588252518148534773760000
- 2142020662400 cubed (21420206624003) is 9828131698182992477678829338624000000
-
The
square root of 2142020662400 is 1463564.3690661507 -
The
cube root of 2142020662400 is 12890.6421374443
Scales and comparisons
How big is 2142020662400?- 2,142,020,662,400 seconds is equal to 68,109 years, 32 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 2,142,020,662,400 would take you about one hundred seventy thousand, two hundred seventy-four 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 2142020662400 cubic inches would be around 1074.2 feet tall.
Recreational maths with 2142020662400
- 2142020662400 backwards is 0042660202412
- The number of decimal digits it has is: 13
- The sum of 2142020662400's digits is 29
- More coming soon!
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