10008138020400
10,008,138,020,400 is an even composite number composed of eight prime numbers multiplied together.
10008138020400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 10008138020400:
24 × 32 × 52 × 132 × 17 × 29 × 61 × 547
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 29 × 61 × 547)See below for interesting mathematical facts about the number 10008138020400 from the Numbermatics database.
Names of 10008138020400
- Cardinal: 10008138020400 can be written as Ten trillion, eight billion, one hundred thirty-eight million, twenty thousand, four hundred.
Scientific notation
- Scientific notation: 1.00081380204 × 1013
Factors of 10008138020400
Divisors of 10008138020400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 29 30 34 36 39 40 45 48 50 51 52 58 60 61 65 68 72 75 78 80 85 87 90 100 102 104 116 117 120 122 130 136 144 145 150 153 156 169 170 174 180 183 195 200 204 208 221 225 232 234 240 244 255 260 261 272 290 300 305 306 312 325 338 340 348 360 366 377 390 400 408 425 435 442 450 464 468 488 493 507 510 520 522 547 549 580 585 600 610 612 624 650 663 676 680 696 720 725 732 754 765 780 793 816 845 850 870 884 900 915 936 975 976 986 1014 1020 1037 1040 1044 1094 1098 1105 1131 1160 1170 1200 1220 1224 1275 1300 1305 1326 1352 1360 1392 1450 1464 1479 1508 1521 1525 1530 1560 1586 1641 1690 1700 1740 1768 1769 1800 1830 1872 1885 1950 1972 1989 2028 2040 2074 2088 2175 2188 2196 2210 2262 2320 2340 2379 2440 2448 2465 2535 2550 2600 2610 2652 2704 2735 2745 2873 2900 2925 2928 2958 3016 3042 3050 3060 3111 3120 3172 3282 3315 3380 3393 3400 3480 3536 3538 3600 3660 3770 3825 3900 3944 3965 3978 4056 4080 4148 4176 4225 4350 4376 4392 4420 4437 4524 4575 4680 4758 4880 4901 4923 4930 5070 5100 5185 5200 5220 5304 5307 5470 5490 5525 5655 5746 5800 5850 5916 6032 6084 6100 6120 6222 6344 6409 6525 6564 6630 6760 6786 6800 6960 7076 7111 7137 7320 7395 7540 7605 7650 7800 7888 7930 7956 8112 8205 8296 8450 8619 8700 8752 8784 8840 8845 8874 9048 9150 9299 9333 9360 9425 9516 9802 9846 9860 9945 10140 10200 10309 10370 10440 10608 10614 10940 10980 11050 11310 11492 11600 11700 11832 11895 12168 12200 12240 12325 12444 12675 12688 12818 13050 13128 13260 13481 13520 13572 13675 13725 14152 14222 14274 14365 14640 14703 14790 15080 15210 15300 15555 15600 15860 15863 15912 15921 16410 16575 16592 16900 16965 17238 17400 17680 17690 17748 18096 18300 18598 18666 18850 19032 19227 19604 19692 19720 19825 19890 20280 20400 20618 20740 20880 21228 21333 21880 21960 22100 22185 22620 22984 22997 23400 23664 23790 24336 24400 24505 24615 24650 24888 25350 25636 25857 25925 26100 26256 26520 26535 26962 27144 27350 27450 27897 28275 28304 28444 28548 28730 29406 29580 30073 30160 30420 30600 30927 31110 31720 31726 31824 31842 32045 32820 33150 33367 33800 33930 34476 34800 35380 35496 35555 35685 36600 36975 37196 37332 37700 38025 38064 38454 39208 39384 39440 39650 39780 40443 40560 41025 41236 41480 42456 42666 43095 43760 43920 44109 44200 44225 44370 45240 45968 45994 46495 46665 46800 47580 47589 49010 49230 49300 49725 49776 50700 51272 51545 51714 51850 52200 53040 53070 53924 54288 54700 54900 55794 56550 56888 57096 57460 57681 58812 59160 59475 60146 60840 61200 61854 62220 63440 63452 63684 63999 64090 65640 66300 66734 67405 67600 67860 68952 68991 70760 70992 71110 71370 71825 73200 73515 73950 74392 74664 75400 76050 76908 77775 78416 78768 79300 79315 79560 79605 80886 82050 82472 82960 83317 83691 84825 84912 85332 86190 88218 88400 88450 88740 90219 90480 91988 92443 92781 92990 93330 95160 95178 96135 98020 98460 98600 99450 100101 101400 102544 103090 103428 103700 104400 106140 106665 107848 109400 109800 110925 111588 113100 113776 114192 114920 114985 115362 117624 118320 118950 120292 120887 121329 121680 122525 123075 123708 124440 126904 127368 127998 128180 129285 131280 132600 132675 133468 134810 135720 137904 137982 139485 141520 142220 142740 142767 143650 147030 147900 148784 149328 150365 150800 152100 153816 154635 155550 158600 158630 159120 159210 160225 161772 164100 164944 166634 166835 167382 169650 170664 172380 175253 176436 176900 177480 177775 178425 180438 183976 184886 185562 185980 186660 190320 190356 192270 196040 196920 197200 198900 200202 202215 202800 206180 206219 206856 206973 207400 212280 213330 215475 215696 218800 219600 220545 221850 223176 226200 229840 229970 230724 232475 233325 235248 237900 237945 240584 241774 242658 245050 246150 247416 248880 249951 253808 254736 255996 256360 257725 258570 265200 265350 266936 269620 269671 270657 271440 275964 277329 278970 284440 285480 285534 287300 288405 294060 295800 298961 300303 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91148798 91482066 92798550 93827760 94291860 95863391 96510492 96764300 97081560 97598475 98699586 99980400 100634872 101502414 101646740 102103020 104105040 105151800 105171690 107233880 107625960 107868400 108262800 108798300 110611605 110931600 112780460 113150232 113214231 113447800 116117160 117284700 117864825 117985712 119584400 120121200 120638115 121351950 121976088 123731400 125722480 125793590 126182160 126206028 127058425 127628775 128680656 130131300 131599448 132733926 134042350 134532450 135336552 136137360 136723197 139340592 140228920 140741640 140975575 141437790 145064400 145146450 147482140 148049379 148477680 149970600 150952308 152470110 156157560 156379600 157153100 157727700 157757535 160850820 161802600 163531667 164499310 166397400 168274704 169170690 170171700 173508400 174175740 175286150 175927050 176978568 179376600 182297596 182964132 184352675 185597100 188583720 188690385 191726782 193020984 193528600 194163120 195196950 197399172 201063525 201269744 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485407800 490595001 493497930 503174360 504824112 507512070 508233700 510515100 520525200 525858450 530935704 536169400 538129800 546892788 553058025 563902300 565751160 566071155 575180346 580585800 589928560 592197516 603190575 603809232 609880440 628612400 628967950 630910800 631030140 641547309 643403280 654126668 657997240 663669630 676682760 680686800 683615985 696702960 701144600 703708200 707188950 729190384 731856528 737410700 740246895 742388400 754761540 762350550 766907128 780787800 788787675 789596688 804254100 812019312 817658335 820339182 822496550 841373520 845853450 855396412 862770519 870878700 884892840 905713848 911487980 914820660 942918600 943451925 958633910 965104920 970815600 981190002 986995860 1006348720 1015024140 1016467400 1021030200 1051716900 1061871408 1069245515 1072338800 1076259600 1093785576 1106116050 1127804600 1131502320 1132142310 1139359975 1143525825 1150360692 1161171600 1184395032 1206381150 1219760880 1233744825 1257935900 1262060280 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3924760008 3947983440 4060096560 4088291675 4101695910 4206867600 4276982060 4313852595 4424464200 4528569240 4557439900 4574103300 4601442768 4793169550 4825524600 4905950010 4934979300 5031743600 5075120700 5132378472 5309357040 5346227575 5468927880 5560076678 5657511600 5660711550 5751803460 5887140012 5921975160 6098804400 6310301400 6415473090 6541266680 6562713456 6579972400 6636696300 6766827600 6836159850 6902164152 7189754325 7358925015 7402468950 7547615400 7669071280 7698567708 7849520016 8176583350 8203391820 8340115017 8553964120 8627705190 8848928400 9057138480 9114879800 9148206600 9586339100 9623209635 9651049200 9811900020 9869958600 10150241400 10254239775 10264756944 10692455150 10937855760 11120153356 11321423100 11503606920 11774280024 11843950320 12264875025 12620602800 12830946180 13082533360 13273392600 13672319700 13804328304 13900191695 14379508650 14717850030 14804937900 15095230800 15397135416 16038682725 16353166700 16406783640 16680230034 17107928240 17255410380 18229759600 18296413200 19172678200 19246419270 19623800040 19739917200 20300482800 20508479550 21384910300 21569262975 22240306712 22642846200 23007213840 23548560048 24529750050 25020345051 25661892360 26546785200 27344639400 27800383390 28759017300 29435700060 29609875800 30794270832 32077365450 32706333400 32813567280 33360460068 34510820760 36794625075 38345356400 38492838540 39247600080 41016959100 41700575085 42769820600 43138525950 44480613424 45285692400 48116048175 49059500100 50040690102 51323784720 54689278800 55600766780 57518034600 58871400120 59219751600 64154730900 65412666800 66720920136 69021641520 69500958475 73589250150 76985677080 82033918200 83401150170 85539641200 86277051900 96232096350 98119000200 100081380204 111201533560 115036069200 117742800240 125101725255 128309461800 133441840272 139001916950 147178500300 153971354160 164067836400 166802300340 172554103800 192464192700 196238000400 200162760408 208502875425 222403067120 250203450510 256618923600 278003833900 294357000600 333604600680 345108207600 384928385400 400325520816 417005750850 500406901020 556007667800 588714001200 625508626275 667209201360 769856770800 834011501700 1000813802040 1112015335600 1251017252550 1668023003400 2001627604080 2502034505100 3336046006800 5004069010200 10008138020400
- Sum of all divisors σ(n): 41945351441760
- Sum of proper divisors (its aliquot sum) s(n): 31937213421360
- 10008138020400 is an abundant number, because the sum of its proper divisors (31937213421360) is greater than itself. Its abundance is 21929075400960
Bases of 10008138020400
- Binary: 100100011010001100111000001011110110001100002
- Hexadecimal: 0x91A3382F630
- Base-36: 3JPOAZ3G0
Squares and roots of 10008138020400
- 10008138020400 squared (100081380204002) is 100162826635376030816160000
- 10008138020400 cubed (100081380204003) is 1002443393480240661662052938729664000000
-
The
square root of 10008138020400 is 3163564.1324936025 -
The
cube root of 10008138020400 is 21550.1895934927
Scales and comparisons
How big is 10008138020400?- 10,008,138,020,400 seconds is equal to 318,227 years, 43 weeks, 1 day, 19 hours.
-
To count from 1 to 10,008,138,020,400 would take you about seven hundred ninety-five thousand, five hundred sixty-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 10008138020400 cubic inches would be around 1795.8 feet tall.
Recreational maths with 10008138020400
- 10008138020400 backwards is 00402083180001
- The number of decimal digits it has is: 14
- The sum of 10008138020400's digits is 27
- More coming soon!
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Cite this page
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"Number 10008138020400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 10008138020400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/10008138020400/
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The information we have on file for 10008138020400 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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