142085000468736
142,085,000,468,736 is an even composite number composed of seven prime numbers multiplied together.
142085000468736 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 142085000468736:
28 × 34 × 132 × 23 × 29 × 89 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 23 × 29 × 89 × 683)See below for interesting mathematical facts about the number 142085000468736 from the Numbermatics database.
Names of 142085000468736
- Cardinal: 142085000468736 can be written as One hundred forty-two trillion, eighty-five billion, four hundred sixty-eight thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.42085000468736 × 1014
Factors of 142085000468736
Divisors of 142085000468736
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 29 32 36 39 46 48 52 54 58 64 69 72 78 81 87 89 92 96 104 108 116 117 128 138 144 156 162 169 174 178 184 192 207 208 216 232 234 256 261 267 276 288 299 312 324 338 348 351 356 368 377 384 414 416 432 464 468 507 522 534 552 576 598 621 624 648 667 676 683 696 702 712 736 754 768 783 801 828 832 864 897 928 936 1014 1044 1053 1068 1104 1131 1152 1157 1196 1242 1248 1296 1334 1352 1366 1392 1404 1424 1472 1508 1521 1566 1602 1656 1664 1728 1794 1856 1863 1872 2001 2028 2047 2049 2088 2106 2136 2208 2262 2304 2314 2349 2392 2403 2484 2496 2581 2592 2668 2691 2704 2732 2784 2808 2848 2944 3016 3042 3132 3204 3312 3328 3393 3456 3471 3588 3712 3726 3744 3887 4002 4056 4094 4098 4176 4212 4272 4416 4524 4563 4628 4698 4784 4806 4901 4968 4992 5162 5184 5336 5382 5408 5464 5568 5616 5696 5888 6003 6032 6084 6141 6147 6264 6408 6624 6786 6912 6942 7176 7209 7424 7452 7488 7743 7774 8004 8073 8112 8188 8196 8352 8424 8544 8671 8832 8879 9048 9126 9256 9396 9568 9612 9802 9936 9984 10179 10324 10368 10413 10672 10764 10816 10928 11136 11232 11392 11661 12006 12064 12168 12282 12294 12528 12816 13248 13572 13689 13884 14352 14418 14703 14904 14976 15041 15486 15548 15709 16008 16146 16224 16376 16392 16704 16848 17088 17342 17664 17758 18009 18096 18252 18423 18441 18512 18792 19136 19224 19604 19807 19872 20358 20648 20736 20826 21344 21528 21632 21856 22272 22464 22784 23229 23322 24012 24128 24219 24336 24564 24588 25056 25632 26013 26496 26611 26637 27144 27378 27768 28704 28836 29406 29808 29952 30082 30537 30972 31096 31239 31418 32016 32292 32448 32752 32784 33408 33553 33696 34176 34684 34983 35516 36018 36192 36504 36846 36882 37024 37584 38272 38448 39208 39614 39744 40716 41296 41652 42688 43056 43264 43712 44109 44928 45123 46458 46644 47127 48024 48256 48438 48672 49128 49176 50112 51264 52026 52992 53222 53274 54027 54288 54756 55269 55323 55536 57408 57672 58812 59363 59421 59616 60164 60787 61074 61944 62192 62478 62836 64032 64584 64896 65504 65568 66816 67106 67392 68352 69368 69687 69966 71032 72036 72384 73008 73692 73764 74048 75168 76544 76896 78039 78416 79228 79488 79833 79911 81432 82592 83304 85376 86112 87424 88218 89856 90246 92916 93288 93717 94254 96048 96512 96876 97344 98256 98352 100224 100659 102528 104052 104949 106444 106548 108054 108576 109512 110538 110646 111072 112723 114816 115344 115427 117624 118726 118842 119232 120328 121574 122148 123888 124384 124956 125672 128064 129168 129792 131008 131136 132327 134212 134784 135369 138736 139374 139932 141381 142064 144072 144768 146016 147384 147528 148096 150336 153792 156078 156832 158456 158976 159666 159822 162864 165184 165807 166608 170752 172224 174848 176436 178089 178263 180492 182361 185832 186576 187434 188508 192096 193752 194688 196512 196704 200448 201318 204217 205056 208104 209061 209898 212888 213096 216108 217152 219024 221076 221292 222144 225446 229632 230688 230854 234117 235248 237452 237684 238464 239499 239733 240656 243148 244296 247776 248768 249912 251344 256128 257491 258336 262016 262272 264654 268424 269568 270738 277472 278748 279864 282762 284128 288144 289536 292032 294768 295056 296192 300672 301977 307584 312156 313664 314847 316912 319332 319644 325728 330368 331614 333216 338169 344448 345943 346281 352872 356178 356526 360984 364722 371664 373152 374868 377016 384192 387504 389376 393024 393408 396981 402636 406107 408434 416208 418122 419796 424143 425776 426192 432216 434304 436189 438048 442152 442584 444288 450892 455561 461376 461708 468234 470496 474904 475368 476928 478998 479466 481312 486296 488592 495552 497536 499824 502688 512256 514982 516672 524032 524544 529308 534267 534789 536848 541476 547083 554944 557496 559728 565524 568256 576288 584064 589536 590112 601344 603954 612651 615168 624312 627328 629694 633824 638664 639288 651456 660736 663228 666432 676338 688896 691886 692562 702351 705744 712356 713052 718497 719199 721968 729444 743328 746304 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1163220032 1168712064 1180814112 1191668348 1195579008 1196747136 1207959264 1230951168 1231836944 1237501746 1260479232 1279215288 1284140416 1285395072 1297437728 1308622536 1314944384 1333530432 1334833344 1353848064 1365519168 1385816562 1411547904 1417674414 1444657968 1446069456 1459617444 1466668736 1472200353 1479312432 1507469184 1516107008 1523079072 1529176896 1574418816 1581252231 1610612352 1625240214 1650002328 1664226486 1705620384 1720324008 1744830048 1778040576 1779777792 1787502522 1793368512 1811938896 1820692224 1847755416 1856252619 1890232552 1918822932 1926210624 1928092608 1946156592 1962933804 1972416576 2000295648 2030772096 2038902528 2048278752 2078724843 2108336308 2117321856 2126511621 2166986952 2169104184 2189426166 2200003104 2218968648 2261203776 2274160512 2284618608 2293765344 2326440064 2337424128 2361628224 2383336696 2391158016 2393494272 2415918528 2463673888 2475003492 2558430576 2568280832 2570790144 2594875456 2617245072 2629888768 2667060864 2669666688 2681253783 2731038336 2771633124 2835348828 2889315936 2892138912 2919234888 2933337472 2944400706 2958624864 3014938368 3046158144 3058353792 3148837632 3162504462 3221224704 3250480428 3284139249 3300004656 3328452972 3411240768 3440648016 3489660096 3575005044 3586737024 3623877792 3695510832 3712505238 3780465104 3837645864 3852421248 3856185216 3892313184 3925867608 3944833152 4000591296 4061544192 4096557504 4157449686 4216672616 4234643712 4253023242 4333973904 4338208368 4378852332 4400006208 4437937296 4522407552 4548321024 4569237216 4587530688 4652880128 4723256448 4743756693 4766673392 4831837056 4927347776 4950006984 5116861152 5189750912 5234490144 5334121728 5339333376 5362507566 5462076672 5543266248 5670697656 5778631872 5784277824 5838469776 5866674944 5888801412 5917249728 6092316288 6116707584 6236174529 6325008924 6379534863 6500960856 6568278498 6600009312 6656905944 6822481536 6852093001 6881296032 6979320192 7150010088 7173474048 7247755584 7391021664 7425010476 7560930208 7675291728 7704842496 7712370432 7784626368 7851735216 7889666304 8001182592 8043761349 8193115008 8314899372 8433345232 8506046484 8667947808 8676416736 8757704664 8800012416 8875874592 9044815104 9138474432 9175061376 9446512896 9487513386 9533346784 9663674112 9854695552 9900013968 10233722304 10379501824 10468980288 10725015132 11086532496 11341395312 11557263744 11568555648 11676939552 11777602824 11834499456 12184632576 12472349058 12650017848 12759069726 13001921712 13136556996 13200018624 13313811888 13644963072 13704186002 13762592064 13958640384 14231270079 14300020176 14495511168 14782043328 14850020952 15121860416 15350583456 15569252736 15703470432 16002365184 16087522698 16386230016 16629798744 16866690464 17012092968 17335895616 17352833472 17515409328 17600024832 17751749184 18276948864 18350122752 18975026772 19066693568 19138604589 19709391104 19800027936 20467444608 20556279003 20937960576 21450030264 22173064992 22682790624 23114527488 23137111296 23353879104 23555205648 23668998912 24131284047 24944698116 25300035696 25518139452 26003843424 26273113992 26400037248 26627623776 27408372004 27525184128 28462540158 28600040352 28991022336 29564086656 29700041904 30243720832 30701166912 31138505472 31406940864 32175045396 33259597488 33733380928 34024185936 34671791232 34705666944 35030818656 35503498368 36553897728 37950053544 38133387136 38277209178 39600055872 40934889216 41112558006 41875921152 42693810237 42900060528 44346129984 45365581248 46707758208 47110411296 48262568094 49889396232 50600071392 51036278904 52007686848 52546227984 52800074496 53255247552 54816744008 55050368256 56925080316 57200080704 59128173312 59400083808 60487441664 61402333824 61668837009 62813881728 64350090792 66519194976 67466761856 68048371872 69343582464 69411333888 70061637312 71006996736 75900107088 76266774272 76554418356 79200111744 82225116012 85387620474 85800121056 88692259968 90731162496 93415516416 94220822592 96525136188 99778792464 101200142784 102072557808 104015373696 105092455968 106510495104 109633488016 113850160632 114400161408 118800167616 122804667648 123337674018 125627763456 128700181584 133038389952 134933523712 136096743744 140123274624 151800214176 153108836712 158400223488 164450232024 170775240948 171600242112 177384519936 181462324992 185006511027 188441645184 193050272376 199557584928 202400285568 204145115616 208030747392 210184911936 213020990208 219266976032 227700321264 228800322816 237600335232 246675348036 257400363168 266076779904 272193487488 280246549248 303600428352 306217673424 328900464048 341550481896 343200484224 370013022054 376883290368 386100544752 399115169856 404800571136 408290231232 420369823872 438533952064 455400642528 475200670464 493350696072 514800726336 532153559808 544386974976 555019533081 607200856704 612435346848 657800928096 683100963792 686400968448 740026044108 772201089504 798230339712 816580462464 840739647744 877067904128 910801285056 986701392144 1029601452672 1110039066162 1214401713408 1224870693696 1315601856192 1366201927584 1480052088216 1544402179008 1596460679424 1633160924928 1754135808256 1821602570112 1973402784288 2059202905344 2220078132324 2449741387392 2631203712384 2732403855168 2960104176432 3088804358016 3643205140224 3946805568576 4440156264648 4899482774784 5262407424768 5464807710336 5920208352864 6177608716032 7893611137152 8880312529296 10929615420672 11840416705728 15787222274304 17760625058592 23680833411456 35521250117184 47361666822912 71042500234368 142085000468736
- Sum of all divisors σ(n): 501520243593600
- Sum of proper divisors (its aliquot sum) s(n): 359435243124864
- 142085000468736 is an abundant number, because the sum of its proper divisors (359435243124864) is greater than itself. Its abundance is 217350242656128
Bases of 142085000468736
- Binary: 1000000100111001101111011111101100011001000000002
- Hexadecimal: 0x8139BDFB1900
- Base-36: 1ED4Y4R400
Squares and roots of 142085000468736
- 142085000468736 squared (1420850004687362) is 20188147358200709339713437696
- 142085000468736 cubed (1420850004687363) is 2868432926852859226626751488096077931872256
-
The
square root of 142085000468736 is 11919941.2946849701 -
The
cube root of 142085000468736 is 52181.4421572275
Scales and comparisons
How big is 142085000468736?- 142,085,000,468,736 seconds is equal to 4,517,863 years, 26 weeks, 6 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 142,085,000,468,736 would take you about eleven million, two hundred ninety-four thousand, six hundred fifty-eight 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 142085000468736 cubic inches would be around 4348.5 feet tall.
Recreational maths with 142085000468736
- 142085000468736 backwards is 637864000580241
- 142085000468736 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 142085000468736's digits is 54
- More coming soon!
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MLA style:
"Number 142085000468736 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 142085000468736 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/142085000468736/
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Numbermatics. 2024. "Number 142085000468736 - Facts about the integer". https://numbermatics.com/n/142085000468736/
The information we have on file for 142085000468736 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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