13315924011190164
13,315,924,011,190,164 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13315924011190164 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
13315924011190164 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13315924011190164:
22 × 3 × 7 × 132 × 293 × 313 × 1291
(2 × 2 × 3 × 7 × 13 × 13 × 29 × 29 × 29 × 31 × 31 × 31 × 1291)See below for interesting mathematical facts about the number 13315924011190164 from the Numbermatics database.
Names of 13315924011190164
- Cardinal: 13315924011190164 can be written as Thirteen quadrillion, three hundred fifteen trillion, nine hundred twenty-four billion, eleven million, one hundred ninety thousand, one hundred sixty-four.
Scientific notation
- Scientific notation: 1.3315924011190164 × 1016
Factors of 13315924011190164
Divisors of 13315924011190164
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 12 13 14 21 26 28 29 31 39 42 52 58 62 78 84 87 91 93 116 124 156 169 174 182 186 203 217 273 338 348 364 372 377 403 406 434 507 546 609 651 676 754 806 812 841 868 899 961 1014 1092 1131 1183 1209 1218 1291 1302 1508 1612 1682 1798 1922 2028 2262 2366 2418 2436 2523 2582 2604 2639 2697 2821 2883 3364 3549 3596 3844 3873 4524 4732 4836 4901 5046 5164 5239 5278 5394 5642 5766 5887 6293 6727 7098 7746 7917 8463 9037 9802 10092 10478 10556 10788 10933 11284 11532 11687 11774 12493 12586 13454 14196 14703 15492 15717 15834 16783 16926 17661 18074 18879 19604 20181 20956 21866 23374 23548 24389 24986 25172 26071 26908 27111 27869 29406 29791 31434 31668 32799 33566 33852 34307 35061 35322 36148 36673 37439 37479 37758 40021 40362 43732 46748 48778 49972 50349 52142 54222 55738 58812 59582 62868 65598 67132 68614 70122 70644 73167 73346 74878 74958 75516 76531 78213 80042 80724 81809 83607 87451 89373 97556 100698 102921 104284 108444 110019 111476 112317 117481 119164 120063 131196 137228 140244 142129 146334 146692 149756 149916 151931 153062 156426 160084 162409 163618 167214 170723 174902 178746 182497 195083 201396 205842 208537 218179 220038 224634 229593 234962 240126 245427 262073 262353 280147 284258 292668 303862 306124 312852 317057 324818 327236 334428 338923 341446 349804 352443 357492 362297 364994 387283 390166 411684 417074 426387 436358 440076 449268 455793 459186 469924 480252 486707 487227 490854 512169 520273 524146 524706 547491 560294 568516 585249 607724 625611 634114 649636 654537 677846 682892 704886 724594 729988 756059 774566 780332 786219 808201 834148 840441 852774 863939 872716 911586 918372 951171 973414 974454 981708 994903 1016769 1024338 1040546 1048292 1049412 1063517 1085731 1086891 1094982 1120588 1136863 1160609 1161849 1170498 1240651 1251222 1268228 1309074 1355692 1409772 1449188 1460121 1512118 1527253 1549132 1560819 1572438 1616402 1680882 1705548 1727878 1823172 1902342 1946828 1948908 1989806 2033538 2048676 2081092 2127034 2171462 2173782 2189964 2219399 2268177 2273726 2321218 2323698 2340996 2372461 2424603 2481302 2502444 2536079 2591817 2618148 2710981 2920242 2984709 3024236 3054506 3121638 3144876 3190551 3232804 3257193 3361764 3406949 3410589 3455756 3481827 3641911 3721953 3804684 3979612 4067076 4121741 4254068 4342924 4347564 4405999 4438798 4536354 4547452 4581759 4642436 4647396 4709861 4744922 4849206 4962604 5034679 5072158 5183634 5292413 5421962 5657407 5840484 5969418 6047573 6109012 6243276 6327191 6381102 6514386 6658197 6763549 6813898 6821178 6963654 7117383 7283822 7443906 7600117 7608237 8124263 8132943 8243482 8684557 8811998 8877596 9072708 9163518 9419722 9489844 9698412 9828767 10069358 10144316 10220847 10367268 10506613 10584826 10843924 10925733 11231207 11314814 11938836 12095146 12365223 12654382 12762204 13028772 13217997 13316394 13527098 13627796 13642356 13927308 14114503 14129583 14234766 14567644 14887812 15087917 15104037 15200234 15216474 15877239 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97491156 98801521 98907081 100216924 100972983 104214684 105615419 105728259 107936637 112899241 115380543 115408748 117945204 123367972 125944796 126079356 127773971 131876108 132871011 134630644 134774484 136585969 137602738 140626974 140971012 142034529 143915516 146005691 147092582 150325386 153840724 157236898 164064803 169374036 173113122 175379617 177161348 181055004 183488539 185051958 188917194 189379372 193541556 196142921 197603042 197814162 201945966 206404107 209670019 211230838 211456518 215873274 220403393 220638873 225798482 230761086 235603627 235855347 251852153 255547942 265742022 269221267 273171938 275205476 281253948 284069058 292011382 294185164 296404563 300650772 304691777 314473796 316846257 325705003 328129606 338697723 346226244 350759234 366977078 370103916 377834388 383321913 392285842 395206084 395628324 403891932 409320587 409757907 412808214 419340038 422461676 422913036 431746548 437549593 438017073 440806786 441277746 451596964 461522172 467725427 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12264478044 12520649892 12688938197 12702495117 12797054634 12999541178 13096311956 13384142988 13564037383 13665010366 13679610126 13999505884 14499488237 14607424874 15258026679 15413037276 15614833486 15843972404 15963502893 16476005364 16936660156 17064434127 17191464654 17612281596 18241291653 18377082906 18890890174 19499311767 19644467934 20344035572 20497515549 20999258826 21284670524 21911137311 22752578836 23422250229 23765958606 24321722204 25377876394 25404990234 25594109268 25999082356 27128074766 27330020732 27359220252 27726951707 28336335261 28998976474 29214849748 29639155273 30258237239 30516053358 31229666972 31927005786 32345012221 34128868254 34382929308 36482583306 36754165812 37248173417 37781780348 38066814591 38998623534 39288935868 39817012963 40692112149 40995031098 41998517652 42563013857 43498464711 43822274622 45498394123 46844500458 47531917212 50755752788 50809980468 54256149532 55453903414 56672670522 57997952948 59278310546 60516474478 61032106716 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446978081004 452830171094 477804155556 491163144524 494868589683 510756166284 528997457937 532935404274 545980729476 565480041243 569689570086 608978505954 635422982019 659824786244 679245256641 705329943916 736744716786 753973388324 786714168214 793417387308 840970317746 847230642692 859535502917 905660342188 938005354409 989737179366 1057994915874 1065870808548 1130960082486 1139379140172 1154693375927 1180071252321 1217957011908 1234327401853 1261455476619 1270845964038 1319453429567 1358490513282 1473489433572 1573428336428 1681940635492 1719071005834 1876010708818 1979474358732 2115989831748 2261920164972 2309386751854 2360142504642 2468654803706 2522910953238 2541691928076 2578606508751 2638906859134 2716981026564 2753499588749 2814016063227 2943396112111 3438142011668 3464080127781 3702982205559 3752021417636 3958360288701 4618773503708 4720285009284 4937309607412 5045821906476 5113642093391 5157213017502 5277813718268 5466307065349 5506999177498 5628032126454 5886792224222 6566037480863 6928160255562 7405964411118 7916720577402 8260498766247 8830188336333 10227284186782 10314426035004 10932614130698 11013998354996 11256064252908 11773584448444 12194069607317 13132074961726 13856320511124 14811928822236 15340926280173 15833441154804 16398921196047 16520997532494 17660376672666 19698112442589 20454568373564 21865228261396 24388139214634 26264149923452 30681852560346 32797842392094 33041995064988 35320753345332 35795494653737 36582208821951 38264149457443 39396224885178 48776278429268 61363705120692 65595684784188 71590989307474 73164417643902 76528298914886 78792449770356 85358487251219 107386483961211 114792448372329 143181978614948 146328835287804 153056597829772 158522904895121 170716974502438 214772967922422 229584896744658 256075461753657 317045809790242 341433949004876 429545935844844 459169793489316 475568714685363 512150923507314 634091619580484 951137429370726 1024301847014628 1109660334265847 1902274858741452 2219320668531694 3328981002797541 4438641337063388 6657962005595082 13315924011190164
- Sum of all divisors σ(n): 41183193299189760
- Sum of proper divisors (its aliquot sum) s(n): 27867269287999596
- 13315924011190164 is an abundant number, because the sum of its proper divisors (27867269287999596) is greater than itself. Its abundance is 14551345276809432
Bases of 13315924011190164
- Binary: 1011110100111011000011001010001000101100000111100101002
- Hexadecimal: 0x2F4EC3288B0794
- Base-36: 3N43N1HAJRO
Squares and roots of 13315924011190164
- 13315924011190164 squared (133159240111901642) is 177313832271790746868291770346896
- 13315924011190164 cubed (133159240111901643) is 2361097516664083791791242254903392081936103130944
-
The
square root of 13315924011190164 is 115394644.6382593787 -
The
cube root of 13315924011190164 is 237022.9701794805
Scales and comparisons
How big is 13315924011190164?- 13,315,924,011,190,164 seconds is equal to 423,405,194 years, 36 weeks, 2 days, 6 hours, 9 minutes, 24 seconds.
-
To count from 1 to 13,315,924,011,190,164 would take you about one billion, two hundred seventy million, two hundred fifteen thousand, five hundred eighty-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 13315924011190164 cubic inches would be around 19751.9 feet tall.
Recreational maths with 13315924011190164
- 13315924011190164 backwards is 46109111042951331
- The number of decimal digits it has is: 17
- The sum of 13315924011190164's digits is 51
- More coming soon!
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MLA style:
"Number 13315924011190164 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 13315924011190164 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13315924011190164/
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The information we have on file for 13315924011190164 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 13315924011190164, math, Factors of 13315924011190164, curriculum, school, college, exams, university, Prime factorization of 13315924011190164, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred fifteen trillion, nine hundred twenty-four billion, eleven million, one hundred ninety thousand, one hundred sixty-four.