13198328313984
13,198,328,313,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 13198328313984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13198328313984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13198328313984:
27 × 35 × 112 × 53 × 127 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 53 × 127 × 521)See below for interesting mathematical facts about the number 13198328313984 from the Numbermatics database.
Names of 13198328313984
- Cardinal: 13198328313984 can be written as Thirteen trillion, one hundred ninety-eight billion, three hundred twenty-eight million, three hundred thirteen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3198328313984 × 1013
Factors of 13198328313984
Divisors of 13198328313984
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 64 66 72 81 88 96 99 106 108 121 127 128 132 144 159 162 176 192 198 212 216 242 243 254 264 288 297 318 324 352 363 381 384 396 424 432 477 484 486 508 521 528 576 583 594 636 648 704 726 762 792 848 864 891 954 968 972 1016 1042 1056 1089 1143 1152 1166 1188 1272 1296 1397 1408 1431 1452 1524 1563 1584 1696 1728 1749 1782 1908 1936 1944 2032 2084 2112 2178 2286 2332 2376 2544 2592 2673 2794 2862 2904 3048 3126 3168 3267 3392 3429 3456 3498 3564 3816 3872 3888 4064 4168 4191 4224 4293 4356 4572 4664 4689 4752 5088 5184 5247 5346 5588 5724 5731 5808 6096 6252 6336 6413 6534 6731 6784 6858 6996 7128 7632 7744 7776 8128 8336 8382 8586 8712 9144 9328 9378 9504 9801 10176 10287 10368 10494 10692 11176 11448 11462 11616 12192 12504 12573 12672 12826 12879 13068 13462 13716 13992 14067 14256 15264 15367 15488 15552 15741 16256 16672 16764 17172 17193 17424 18288 18656 18756 19008 19239 19602 20193 20352 20574 20988 21384 22352 22896 22924 23232 24384 25008 25146 25652 25758 26136 26924 27432 27613 27984 28134 28512 29403 30528 30734 30861 31104 31482 33344 33528 34344 34386 34848 36576 37312 37512 37719 38016 38478 39204 40386 41148 41976 42201 42768 44704 45792 45848 46101 46464 47223 48768 50016 50292 51304 51516 51579 52272 53848 54864 55226 55968 56268 57024 57717 58806 60579 61056 61468 61722 62964 63041 66167 66688 67056 68688 68772 69696 73152 74041 74624 75024 75438 76956 78408 80772 82296 82839 83952 84402 85536 89408 91584 91696 92202 94446 100032 100584 102608 103032 103158 104544 107696 109728 110452 111936 112536 113157 114048 115434 117612 121158 122936 123444 125928 126082 126603 132334 134112 137376 137544 138303 139392 141669 146304 148082 150048 150876 153912 154737 156816 161544 164592 165678 167904 168804 171072 173151 178816 181737 183168 183392 184404 188892 189123 198501 200064 201168 205216 206064 206316 209088 215392 219456 220904 222123 223872 225072 226314 230868 235224 242316 245872 246888 248517 251856 252164 253206 264668 268224 274752 275088 276606 283338 296164 300096 301752 303743 307824 309474 313632 323088 329184 331356 335808 337608 339471 342144 346302 363474 366784 368808 377784 378246 397002 402336 410432 412128 412632 414909 418176 430784 438912 441808 444246 450144 452628 461736 464211 470448 484632 491744 493776 497034 503712 504328 506412 519453 529336 536448 545211 549504 550176 553212 566676 567369 592328 595503 600192 603504 607486 615648 618948 627264 646176 658368 662712 666369 671616 675216 678942 692604 726948 727837 733568 737616 745551 755568 756492 794004 804672 814451 820864 824256 825264 829818 861568 883616 888492 900288 905256 911229 923472 928422 940896 969264 983488 987552 994068 1007424 1008656 1012824 1038906 1058672 1090422 1100352 1106424 1133352 1134738 1184656 1191006 1207008 1214972 1231296 1237896 1244727 1254528 1292352 1316736 1325424 1332738 1350432 1357884 1385208 1392633 1453896 1455674 1475232 1491102 1511136 1512984 1558359 1588008 1609344 1628902 1635633 1648512 1650528 1659636 1702107 1767232 1776984 1786509 1800576 1810512 1822458 1846944 1856844 1881792 1938528 1966976 1975104 1988136 1999107 2014848 2017312 2025648 2077812 2117344 2180844 2183511 2200704 2212848 2236653 2266704 2269476 2369312 2382012 2414016 2429944 2443353 2462592 2475792 2489454 2584704 2650848 2665476 2700864 2715768 2733687 2770416 2785266 2907792 2911348 2950464 2982204 3022272 3025968 3116718 3176016 3257804 3271266 3301056 3319272 3341173 3404214 3506851 3534464 3553968 3573018 3621024 3644916 3693888 3713688 3734181 3763584 3877056 3950208 3976272 3998214 4034624 4051296 4155624 4234688 4361688 4367022 4425696 4473306 4533408 4538952 4738624 4764024 4828032 4859888 4886706 4951584 4978908 5106321 5301696 5330952 5359527 5401728 5431536 5467374 5540832 5570532 5815584 5822696 5900928 5964408 5997321 6044544 6051936 6233436 6352032 6515608 6542532 6550533 6602112 6638544 6682346 6709959 6808428 7013702 7107936 7146036 7242048 7289832 7330059 7387776 7427376 7468362 7754112 7952544 7996428 8006207 8069248 8102592 8201061 8311248 8469376 8723376 8734044 8851392 8946612 9066816 9077904 9477248 9528048 9719776 9773412 9903168 9957816 10023519 10212642 10520553 10603392 10661904 10719054 10863072 10934748 11081664 11141064 11631168 11645392 11928816 11994642 12103872 12466872 12704064 13031216 13085064 13101066 13277088 13364692 13419918 13616856 14027404 14215872 14292072 14484096 14579664 14660118 14854752 14936724 15318963 15905088 15992856 16012414 16078581 16205184 16402122 16622496 17446752 17468088 17702784 17893224 17991963 18133632 18155808 19056096 19439552 19546824 19651599 19806336 19915632 20047038 20425284 21041106 21323808 21438108 21726144 21869496 21990177 22163328 22282128 23262336 23290784 23857632 23989284 24018621 24207744 24603183 24933744 25408128 26062432 26170128 26202132 26554176 26729384 26839836 27233712 28054808 28431744 28584144 29159328 29320236 29709504 29873448 30070557 30637926 31561659 31810176 31985712 32024828 32157162 32804244 33244992 34893504 34936176 35786448 35983926 36311616 38112192 38575361 38879104 39093648 39303198 39831264 40094076 40850568 42082212 42647616 42876216 43452288 43738992 43980354 44564256 46581568 47715264 47978568 48037242 49206366 49867488 52124864 52340256 52404264 53108352 53458768 53679672 54467424 56109616 57168288 58318656 58640472 58954797 59419008 59746896 60141114 61275852 63123318 63971424 64049656 64314324 65608488 65970531 66489984 69787008 69872352 71572896 71967852 72055863 72623232 73809549 76224384 77150722 78187296 78606396 79662528 80188152 81701136 84164424 85295232 85752432 87477984 87960708 89128512 90211671 93163136 94684977 95430528 95957136 96074484 98412732 99734976 104249728 104680512 104808528 106917536 107359344 108934848 112219232 114336576 115726083 116637312 117280944 117909594 119493792 120282228 122551704 126246636 127942848 128099312 128628648 131216976 131941062 139744704 143145792 143935704 144111726 147619098 154301444 156374592 157212792 159325056 160376304 163402272 168328848 171504864 174955968 175921416 176864391 178257024 180423342 189369954 191914272 192148968 196825464 197911593 199469952 209361024 209617056 213835072 214718688 216167589 217869696 224438464 228673152 231452166 234561888 235819188 238987584 240564456 245103408 252493272 255885696 256198624 257257296 262433952 263882124 270635013 279489408 284054931 286291584 287871408 288223452 295238196 308602888 312749184 314425584 320752608 326804544 336657696 343009728 347178249 349911936 351842832 353728782 360846684 378739908 383828544 384297936 393650928 395823186 419234112 424328971 427670144 429437376 432335178 448876928 462904332 469123776 471638376 477975168 481128912 490206816 504986544 512397248 514514592 524867904 527764248 541270026 568109862 575742816 576446904 590476392 617205776 628851168 641505216 648502767 653609088 673315392 686019456 694356498 703685664 707457564 721693368 757479816 767657088 768595872 787301856 791646372 811905039 838468224 848657942 852164793 858874752 864670356 925808664 938247552 943276752 962257824 980413632 1009973088 1024794496 1029029184 1041534747 1049735808 1055528496 1082540052 1136219724 1151485632 1152893808 1180952784 1234411552 1257702336 1272986913 1283010432 1297005534 1346630784 1388712996 1407371328 1414915128 1443386736 1514959632 1537191744 1574603712 1583292744 1623810078 1697315884 1704329586 1729340712 1851617328 1886553504 1924515648 1945508301 1960827264 2019946176 2058058368 2083069494 2111056992 2165080104 2272439448 2302971264 2305787616 2361905568 2468823104 2515404672 2545973826 2594011068 2777425992 2814742656 2829830256 2886773472 3029919264 3074383488 3124604241 3149207424 3166585488 3247620156 3394631768 3408659172 3458681424 3703234656 3773107008 3818960739 3849031296 3891016602 4039892352 4166138988 4222113984 4330160208 4544878896 4611575232 4723811136 4937646208 5091947652 5188022136 5554851984 5659660512 5773546944 6059838528 6249208482 6333170976 6495240312 6789263536 6817318344 6917362848 7406469312 7546214016 7637921478 7782033204 8332277976 8444227968 8660320416 9089757792 9223150464 9373812723 9447622272 10183895304 10376044272 11109703968 11319321024 11456882217 11547093888 12119677056 12498416964 12666341952 12990480624 13578527072 13634636688 13834725696 14812938624 15275842956 15564066408 16664555952 17320640832 18179515584 18747625446 20367790608 20752088544 22219407936 22638642048 22913764434 24996833928 25332683904 25980961248 27157054144 27269273376 27669451392 30551685912 31128132816 33329111904 34370646651 34641281664 36359031168 37495250892 40735581216 41504177088 44438815872 45827528868 49993667856 51961922496 54314108288 54538546752 61103371824 62256265632 66658223808 68741293302 74990501784 81471162432 83008354176 91655057736 99987335712 103111939953 103923844992 109077093504 122206743648 124512531264 133316447616 137482586604 149981003568 162942324864 183310115472 199974671424 206223879906 244413487296 249025062528 274965173208 299962007136 366620230944 399949342848 412447759812 488826974592 549930346416 599924014272 733240461888 824895519624 1099860692832 1199848028544 1466480923776 1649791039248 2199721385664 3299582078496 4399442771328 6599164156992 13198328313984
- Sum of all divisors σ(n): 44541766563840
- Sum of proper divisors (its aliquot sum) s(n): 31343438249856
- 13198328313984 is an abundant number, because the sum of its proper divisors (31343438249856) is greater than itself. Its abundance is 18145109935872
Bases of 13198328313984
- Binary: 110000000000111110011010101110111000100000002
- Hexadecimal: 0xC00F9ABB880
- Base-36: 4OF87WO00
Squares and roots of 13198328313984
- 13198328313984 squared (131983283139842) is 174195870283711736089952256
- 13198328313984 cubed (131983283139843) is 2299094286944596685525573123495537147904
-
The
square root of 13198328313984 is 3632950.3594164345 -
The
cube root of 13198328313984 is 23632.3173035391
Scales and comparisons
How big is 13198328313984?- 13,198,328,313,984 seconds is equal to 419,666 years, 5 days, 13 hours, 26 minutes, 24 seconds.
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To count from 1 to 13,198,328,313,984 would take you about one million, forty-nine thousand, one hundred sixty-five 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 13198328313984 cubic inches would be around 1969.4 feet tall.
Recreational maths with 13198328313984
- 13198328313984 backwards is 48931382389131
- The number of decimal digits it has is: 14
- The sum of 13198328313984's digits is 63
- More coming soon!
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The information we have on file for 13198328313984 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 13198328313984, math, Factors of 13198328313984, curriculum, school, college, exams, university, Prime factorization of 13198328313984, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred ninety-eight billion, three hundred twenty-eight million, three hundred thirteen thousand, nine hundred eighty-four.