142828978406400
142,828,978,406,400 is an even composite number composed of seven prime numbers multiplied together.
142828978406400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 142828978406400:
210 × 33 × 52 × 11 × 13 × 61 × 23689
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 61 × 23689)See below for interesting mathematical facts about the number 142828978406400 from the Numbermatics database.
Names of 142828978406400
- Cardinal: 142828978406400 can be written as One hundred forty-two trillion, eight hundred twenty-eight billion, nine hundred seventy-eight million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.428289784064 × 1014
Factors of 142828978406400
Divisors of 142828978406400
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 61 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 122 128 130 132 135 143 144 150 156 160 165 176 180 183 192 195 198 200 208 216 220 225 234 240 244 256 260 264 270 275 286 288 297 300 305 312 320 325 330 351 352 360 366 384 390 396 400 416 429 432 440 450 468 480 488 495 512 520 528 540 549 550 572 576 585 594 600 610 624 640 650 660 671 675 702 704 715 720 732 768 780 792 793 800 825 832 858 864 880 900 915 936 960 975 976 990 1024 1040 1056 1080 1098 1100 1144 1152 1170 1188 1200 1220 1248 1280 1287 1300 1320 1342 1350 1404 1408 1430 1440 1464 1485 1525 1536 1560 1584 1586 1600 1647 1650 1664 1716 1728 1755 1760 1800 1830 1872 1920 1950 1952 1980 2013 2080 2112 2145 2160 2196 2200 2288 2304 2340 2376 2379 2400 2440 2475 2496 2560 2574 2600 2640 2684 2700 2745 2808 2816 2860 2880 2925 2928 2970 3050 3072 3120 3168 3172 3200 3294 3300 3328 3355 3432 3456 3510 3520 3575 3600 3660 3744 3840 3861 3900 3904 3960 3965 4026 4160 4224 4290 4320 4392 4400 4575 4576 4608 4680 4752 4758 4800 4880 4950 4992 5120 5148 5200 5280 5368 5400 5490 5616 5632 5720 5760 5850 5856 5940 6039 6100 6240 6336 6344 6400 6435 6588 6600 6656 6710 6864 6912 7020 7040 7137 7150 7200 7320 7425 7488 7680 7722 7800 7808 7920 7930 8052 8235 8320 8448 8580 8640 8723 8775 8784 8800 9150 9152 9216 9360 9504 9516 9600 9760 9900 9984 10065 10296 10400 10560 10725 10736 10800 10980 11232 11264 11440 11520 11700 11712 11880 11895 12078 12200 12480 12672 12688 12800 12870 13176 13200 13312 13420 13725 13728 13824 14040 14080 14274 14300 14400 14640 14850 14976 15360 15444 15600 15616 15840 15860 16104 16470 16640 16775 16896 17160 17280 17446 17550 17568 17600 18117 18300 18304 18720 19008 19032 19200 19305 19520 19800 19825 19968 20130 20592 20800 21120 21411 21450 21472 21600 21960 22464 22880 23040 23400 23424 23689 23760 23790 24156 24400 24960 25344 25376 25600 25740 26169 26352 26400 26840 27450 27456 27648 28080 28160 28548 28600 28800 29280 29700 29952 30195 30888 31200 31232 31680 31720 32175 32208 32940 33280 33550 33792 34320 34560 34892 35100 35136 35200 35685 36234 36600 36608 37440 38016 38064 38400 38610 39040 39600 39650 39936 40260 41175 41184 41600 42240 42822 42900 42944 43200 43615 43920 44928 45760 46080 46800 46848 47378 47520 47580 48312 48800 49920 50325 50688 50752 51480 52338 52704 52800 53680 54900 54912 56160 56320 57096 57200 57600 58560 59400 59475 59904 60390 61776 62400 62464 63360 63440 64350 64416 65880 66560 67100 68640 69120 69784 70200 70272 70400 71067 71370 72468 73200 73216 74880 76032 76128 76800 77220 78080 78507 79200 79300 80520 82350 82368 83200 84480 85644 85800 85888 86400 87230 87840 89856 90585 91520 93600 93696 94756 95040 95160 96525 96624 97600 99840 100650 101376 101504 102960 104676 105408 105600 107055 107360 109800 109824 112320 114192 114400 115200 117120 118445 118800 118950 119808 120780 123552 124800 126720 126880 128700 128832 130845 131760 134200 137280 138240 139568 140400 140544 140800 142134 142740 144936 146400 146432 149760 150975 152064 152256 154440 156160 157014 158400 158600 161040 164700 164736 166400 168960 171288 171600 171776 172800 174460 175680 178425 179712 181170 183040 187200 187392 189512 190080 190320 193050 193248 195200 199680 201300 203008 205920 209352 210816 211200 213201 214110 214720 218075 219600 219648 224640 228384 228800 230400 234240 235521 236890 237600 237900 241560 247104 249600 253440 253760 257400 257664 260579 261690 263520 268400 274560 279136 280800 281088 281600 284268 285480 289872 292800 299520 301950 304128 304512 307957 308880 312320 314028 316800 317200 322080 329400 329472 332800 342576 343200 343552 345600 348920 351360 355335 356850 359424 362340 366080 374400 379024 380160 380640 386100 386496 390400 392535 402600 406016 411840 418704 421632 422400 426402 428220 429440 436150 439200 439296 449280 452925 456768 457600 468480 471042 473780 475200 475800 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5722314840 5853646656 5912774400 6003740160 6011320640 6029337600 6097548600 6103802496 6199174410 6242525280 6358127600 6504051840 6612452704 6651871200 6658693632 6670822400 6762735720 6866777808 6936139200 7095329280 7152893550 7204488192 7213584768 7317058320 7398548480 7439009292 7504675200 7514150800 7629753120 7803156600 7804862208 7883699200 8115282864 8130064800 8138403328 8186918400 8265565880 8323367040 8453419650 8514395136 8583472260 8672069120 8869161600 9005610240 9016980960 9146322900 9155703744 9248185600 9298761615 9537191400 9618113024 9756077760 9918679056 9988040448 10006233600 10144103580 10173004160 10331957350 10404208800 10406482944 10642993920 10729340325 10820377152 10840086400 11097822720 11158513938 11257012800 11271226200 11444629680 11707293312 11825548800 12007480320 12022641280 12195097200 12207604992 12398348820 12485050560 12680129475 12716255200 13008103680 13224905408 13303742400 13317387264 13525471440 13733555616 13872278400 14190658560 14305787100 14427169536 14634116640 14878018584 15009350400 15028301600 15259506240 15497936025 15606313200 15609724416 16230565728 16260129600 16276806656 16373836800 16531131760 16646734080 16906839300 17166944520 17344138240 17738323200 18011220480 18033961920 18292645800 18311407488 18496371200 18597523230 19074382800 19236226048 19512155520 19837358112 19976080896 20012467200 20288207160 20346008320 20663914700 20808417600 21285987840 21458680650 21640754304 21680172800 22195645440 22317027876 22514025600 22542452400 22889259360 23414586624 23651097600 24045282560 24390194400 24415209984 24796697640 24970101120 25360258950 25432510400 26016207360 26449810816 26607484800 27050942880 27467111232 27744556800 27896284845 28611574200 28854339072 29268233280 29756037168 30018700800 30056603200 30519012480 30995872050 31212626400 31219448832 32461131456 32520259200 33062263520 33293468160 33813678600 34333889040 35476646400 36022440960 36067923840 36585291600 36622814976 36992742400 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117072933120 119024148672 120226412800 122076049920 123983488200 124850505600 129844525824 130081036800 132249054080 135254714400 137335556160 139481424225 144271695360 146341166400 146491259904 148780185840 152595062400 156097244160 158698864896 162305657280 165311317600 166467340800 171669445200 173126034432 178536223008 180112204800 180339619200 183114074880 185975232300 195121555200 198373581120 199760808960 202882071600 203460083200 211598486528 212859878400 216407543040 219736889856 223170278760 228892593600 234145866240 238048297344 240452825600 244152099840 247966976400 249701011200 259689051648 260162073600 264498108160 270509428800 274671112320 278962848450 288543390720 292682332800 297560371680 305190124800 317397729792 324611314560 330622635200 332934681600 343338890400 357072446016 360679238400 366228149760 371950464600 390243110400 396747162240 405764143200 406920166400 432815086080 439473779712 446340557520 457785187200 468291732480 476096594688 480905651200 495933952800 499402022400 519378103296 528996216320 541018857600 549342224640 557925696900 585364665600 595120743360 610380249600 634795459584 649222629120 661245270400 686677780800 714144892032 721358476800 732456299520 743900929200 780486220800 793494324480 811528286400 865630172160 892681115040 915570374400 952193189376 991867905600 998804044800 1057992432640 1082037715200 1098684449280 1115851393800 1170729331200 1190241486720 1220760499200 1298445258240 1322490540800 1373355561600 1428289784064 1442716953600 1487801858400 1586988648960 1623056572800 1785362230080 1831140748800 1904386378752 1983735811200 2164075430400 2197368898560 2231702787600 2341458662400 2380482973440 2596890516480 2644981081600 2746711123200 2856579568128 2975603716800 3173977297920 3246113145600 3570724460160 3662281497600 3967471622400 4328150860800 4463405575200 4760965946880 5289962163200 5493422246400 5713159136256 5951207433600 6492226291200 7141448920320 7934943244800 8926811150400 9521931893760 10986844492800 11902414867200 12984452582400 14282897840640 15869886489600 17853622300800 23804829734400 28565795681280 35707244601600 47609659468800 71414489203200 142828978406400
- Sum of all divisors σ(n): 626333382931200
- Sum of proper divisors (its aliquot sum) s(n): 483504404524800
- 142828978406400 is an abundant number, because the sum of its proper divisors (483504404524800) is greater than itself. Its abundance is 340675426118400
Bases of 142828978406400
- Binary: 1000000111100110111101101000010110000100000000002
- Hexadecimal: 0x81E6F6858400
- Base-36: 1EMMQ60AO0
Squares and roots of 142828978406400
- 142828978406400 squared (1428289784064002) is 20400117072615877483560960000
- 142828978406400 cubed (1428289784064003) is 2913727880852685145861316326818054144000000
-
The
square root of 142828978406400 is 11951107.8317618739 -
The
cube root of 142828978406400 is 52272.3602205005
Scales and comparisons
How big is 142828978406400?- 142,828,978,406,400 seconds is equal to 4,541,519 years, 37 weeks, 1 day.
-
To count from 1 to 142,828,978,406,400 would take you about eleven million, three hundred fifty-three thousand, seven hundred ninety-nine 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 142828978406400 cubic inches would be around 4356 feet tall.
Recreational maths with 142828978406400
- 142828978406400 backwards is 004604879828241
- The number of decimal digits it has is: 15
- The sum of 142828978406400's digits is 63
- More coming soon!
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"Number 142828978406400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 142828978406400 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/142828978406400/
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The information we have on file for 142828978406400 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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