13328797680221088
13,328,797,680,221,088 is an even composite number composed of six prime numbers multiplied together.
What does the number 13328797680221088 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13328797680221088 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13328797680221088:
25 × 3 × 132 × 292 × 473 × 972
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 29 × 29 × 47 × 47 × 47 × 97 × 97)See below for interesting mathematical facts about the number 13328797680221088 from the Numbermatics database.
Names of 13328797680221088
- Cardinal: 13328797680221088 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, seven hundred ninety-seven billion, six hundred eighty million, two hundred twenty-one thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.3328797680221088 × 1016
Factors of 13328797680221088
Divisors of 13328797680221088
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 29 32 39 47 48 52 58 78 87 94 96 97 104 116 141 156 169 174 188 194 208 232 282 291 312 338 348 376 377 388 416 464 507 564 582 611 624 676 696 752 754 776 841 928 1014 1128 1131 1164 1222 1248 1261 1352 1363 1392 1504 1508 1552 1682 1833 2028 2209 2256 2262 2328 2444 2522 2523 2704 2726 2784 2813 3016 3104 3364 3666 3783 4056 4089 4418 4512 4524 4559 4656 4888 4901 5044 5046 5408 5452 5626 6032 6627 6728 7332 7566 7943 8112 8178 8439 8836 9048 9118 9312 9409 9776 9802 10088 10092 10904 10933 11252 12064 13254 13456 13677 14664 14703 15132 15886 16224 16356 16393 16878 17672 17719 18096 18236 18818 19552 19604 20176 20184 21808 21866 22504 23829 26508 26912 27354 28227 28717 29328 29406 30264 31772 32712 32786 32799 33756 35344 35438 36192 36472 36569 37636 39208 39527 40352 40368 43616 43732 45008 47658 49179 53016 53157 54708 56454 57434 58656 58812 59267 60528 63544 64061 65424 65572 65598 67512 70688 70876 72944 73138 75272 78416 79054 80736 81577 86151 87464 90016 95316 98358 103823 106032 106314 109416 109707 112908 114868 117624 118534 118581 121056 122317 127088 128122 130848 131144 131196 132211 135024 141752 142129 145888 146276 150544 156832 158108 163154 172302 174928 177801 190632 192183 196716 207646 212064 212628 214273 218832 219414 225816 229736 230347 235248 237068 237162 244634 244731 254176 256244 262288 262392 264422 270048 272861 283504 284258 292552 301088 311469 316216 326308 344604 349856 355602 366951 373321 381264 384366 393432 396633 415292 425256 426387 428546 437664 438828 442223 451632 459472 460694 470496 474136 474324 475397 489268 489462 512488 513851 524576 524784 528844 545722 567008 568516 585104 622938 632432 642819 652616 689208 691041 711204 733902 746642 762528 768732 770471 786864 793266 818583 830584 832793 850512 852774 857092 877656 884446 903264 918944 921388 948272 948648 950794 978536 978924 1024976 1027702 1049568 1057688 1060501 1091444 1119963 1137032 1170208 1245876 1264864 1285638 1305232 1326669 1349699 1378416 1382082 1422408 1426191 1467804 1493284 1537464 1540942 1541553 1573728 1586532 1590121 1637166 1661168 1665586 1701024 1705548 1714184 1718743 1755312 1768892 1842776 1857769 1896544 1897296 1901588 1957072 1957848 2049952 2055404 2115376 2121002 2182888 2239926 2274064 2311413 2491752 2498379 2571276 2610464 2653338 2699398 2756832 2764164 2785549 2844816 2852382 2935608 2986568 3010867 3074928 3081884 3083106 3173064 3180242 3181503 3274332 3322336 3331172 3411096 3428368 3437486 3510624 3537784 3547193 3685552 3715538 3794592 3803176 3834119 3914144 3915696 4049097 4110808 4230752 4242004 4365776 4479852 4548128 4622826 4770363 4983504 4996758 5142552 5156229 5306676 5398796 5528328 5571098 5573307 5689632 5704764 5748899 5871216 5973136 6021734 6149856 6163768 6166212 6213917 6346128 6360484 6363006 6548664 6662344 6680063 6822192 6856736 6874972 7075568 7094386 7371104 7431076 7606352 7668238 7831392 7912969 8098194 8221616 8356647 8484008 8731552 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56201236624 56223521016 56658495206 57863995104 58017888708 59025036668 60747252592 60908814434 62204746656 62685994696 62852712767 64190004528 67756550968 69354717536 69918994084 74964694688 76195907346 77357184944 81694581072 84301854936 84987742809 88537555002 91120878888 91363221651 93779578272 94028992044 98714285462 100814589408 101594543128 101634826452 101864741381 104032076304 104878491126 108969298464 110104395323 112402473248 112447042032 113316990412 116035777416 118050073336 121494505184 121817628868 125371989392 125705425534 128380009056 135513101936 139837988168 148071428193 152391814692 154714369888 163389162144 165091132583 168603709872 169975485618 177075110004 182241757776 182726443302 188057984088 188558138301 197428570924 203189086256 203269652904 203729482762 208064152608 209756982252 220208790646 224894084064 226633980824 227236730773 232071554832 236100146672 243635257736 250743978784 251410851068 271026203872 279675976336 296142856386 304783629384 305594224143 330182265166 330313185969 337207419744 339950971236 354150220008 364483515552 365452886604 368280218839 376115968176 377116276602 394857141848 406378172512 406539305808 407458965524 419513964504 440417581292 453267961648 454473461546 464143109664 472200293344 487270515472 495273397749 502821702136 559351952672 592285712772 609567258768 611188448286 660364530332 660626371938 679901942472 681710192319 708300440016 730905773208 736560437678 752231936352 754232553204 789714283696 813078611616 814917931048 821548180487 839027929008 880835162584 906535923296 908946923092 974541030944 990546795498 1005643404272 1104840656517 1184571425544 1219134517536 1222376896572 1320729060664 1321252743876 1359803884944 1363420384638 1416600880032 1431357139199 1461811546416 1473120875356 1508465106408 1579428567392 1629835862096 1643096360974 1678055858016 1761670325168 1817893846184 1981093590996 2011286808544 2209681313034 2369142851088 2444753793144 2464644541461 2641458121328 2642505487752 2719607769888 2726840769276 2862714278398 2923623092832 2946241750712 2954077500049 3016930212816 3259671724192 3286192721948 3523340650336 3635787692368 3962187181992 4294071417597 4419362626068 4738285702176 4787642844907 4889507586288 4929289082922 5282916242656 5285010975504 5453681538552 5725428556796 5892483501424 5908155000098 6033860425632 6572385443896 7271575384736 7924374363984 8588142835194 8838725252136 8862232500147 9575285689814 9779015172576 9858578165844 10570021951008 10680126346331 10907363077104 11450857113592 11784967002848 11816310000196 13144770887792 14362928534721 15848748727968 17176285670388 17677450504272 17724465000294 19150571379628 19717156331688 21360252692662 21814726154208 22901714227184 23632620000392 26289541775584 28725857069442 32040379038993 34352571340776 35354901008544 35448930000588 38301142759256 39434312663376 42720505385324 45803428454368 47265240000784 57451714138884 64080758077986 68705142681552 70897860001176 76602285518512 78868625326752 85441010770648 94530480001568 114903428277768 128161516155972 137410285363104 138841642502303 141795720002352 153204571037024 170882021541296 229806856555536 256323032311944 277683285004606 283591440004704 341764043082592 416524927506909 459613713111072 512646064623888 555366570009212 833049855013818 1025292129247776 1110733140018424 1666099710027636 2221466280036848 3332199420055272 4442932560073696 6664398840110544 13328797680221088
- Sum of all divisors σ(n): 40508558633612160
- Sum of proper divisors (its aliquot sum) s(n): 27179760953391072
- 13328797680221088 is an abundant number, because the sum of its proper divisors (27179760953391072) is greater than itself. Its abundance is 13850963273169984
Bases of 13328797680221088
- Binary: 1011110101101001111000100010110000001100111011101000002
- Hexadecimal: 0x2F5A788B033BA0
- Base-36: 3N8NX4FG1PC
Squares and roots of 13328797680221088
- 13328797680221088 squared (133287976802210882) is 177656847600267056843000559903744
- 13328797680221088 cubed (133287976802210883) is 2367952178169830911751661830147029358301918953472
-
The
square root of 13328797680221088 is 115450412.2133008583 -
The
cube root of 13328797680221088 is 237099.3291929113
Scales and comparisons
How big is 13328797680221088?- 13,328,797,680,221,088 seconds is equal to 423,814,537 years, 28 weeks, 5 days, 5 hours, 24 minutes, 48 seconds.
-
To count from 1 to 13,328,797,680,221,088 would take you about one billion, two hundred seventy-one million, four hundred forty-three thousand, six hundred twelve 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 13328797680221088 cubic inches would be around 19758.3 feet tall.
Recreational maths with 13328797680221088
- 13328797680221088 backwards is 88012208679782331
- The number of decimal digits it has is: 17
- The sum of 13328797680221088's digits is 75
- More coming soon!
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"Number 13328797680221088 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13328797680221088 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13328797680221088/
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The information we have on file for 13328797680221088 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 13328797680221088, math, Factors of 13328797680221088, curriculum, school, college, exams, university, Prime factorization of 13328797680221088, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, three hundred twenty-eight trillion, seven hundred ninety-seven billion, six hundred eighty million, two hundred twenty-one thousand and eighty-eight.