13828841988480
13,828,841,988,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 13828841988480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13828841988480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13828841988480:
27 × 32 × 5 × 173 × 61 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 17 × 17 × 61 × 8011)See below for interesting mathematical facts about the number 13828841988480 from the Numbermatics database.
Names of 13828841988480
- Cardinal: 13828841988480 can be written as Thirteen trillion, eight hundred twenty-eight billion, eight hundred forty-one million, nine hundred eighty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.382884198848 × 1013
Factors of 13828841988480
Divisors of 13828841988480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 61 64 68 72 80 85 90 96 102 120 122 128 136 144 153 160 170 180 183 192 204 240 244 255 272 288 289 305 306 320 340 360 366 384 408 480 488 510 544 549 576 578 610 612 640 680 720 732 765 816 867 915 960 976 1020 1037 1088 1098 1152 1156 1220 1224 1360 1440 1445 1464 1530 1632 1734 1830 1920 1952 2040 2074 2176 2196 2312 2440 2448 2601 2720 2745 2880 2890 2928 3060 3111 3264 3468 3660 3904 4080 4148 4335 4392 4624 4880 4896 4913 5185 5202 5440 5490 5760 5780 5856 6120 6222 6528 6936 7320 7808 8011 8160 8296 8670 8784 9248 9333 9760 9792 9826 10370 10404 10880 10980 11560 11712 12240 12444 13005 13872 14640 14739 15555 16022 16320 16592 17340 17568 17629 18496 18666 19520 19584 19652 20740 20808 21960 23120 23424 24033 24480 24565 24888 26010 27744 29280 29478 31110 32044 32640 33184 34680 35136 35258 36992 37332 39040 39304 40055 41480 41616 43920 44217 46240 46665 48066 48960 49130 49776 52020 52887 55488 58560 58956 62220 64088 66368 69360 70272 70516 72099 73695 74664 78608 80110 82960 83232 87840 88145 88434 92480 93330 96132 97920 98260 99552 104040 105774 110976 117120 117912 120165 124440 128176 132736 136187 138720 141032 144198 147390 149328 157216 158661 160220 165920 166464 175680 176290 176868 184960 186660 192264 196520 199104 208080 211548 221085 235824 240330 248880 256352 264435 272374 277440 282064 288396 294780 298656 299693 314432 317322 320440 331840 332928 351360 352580 353736 360495 373320 384528 393040 398208 408561 416160 423096 442170 471648 480660 488671 497760 512704 528870 544748 554880 564128 576792 589560 597312 599386 628864 634644 640880 663680 680935 705160 707472 720990 746640 769056 786080 793305 817122 832320 846192 884340 899079 943296 961320 977342 995520 1025408 1057740 1089496 1128256 1153584 1179120 1194624 1198772 1225683 1269288 1281760 1361870 1410320 1414944 1441980 1466013 1493280 1498465 1538112 1572160 1586610 1634244 1664640 1692384 1768680 1798158 1886592 1922640 1954684 1991040 2042805 2115480 2178992 2256512 2307168 2315179 2358240 2397544 2443355 2451366 2538576 2563520 2697237 2723740 2820640 2829888 2883960 2932026 2986560 2996930 3076224 3144320 3173220 3268488 3384768 3537360 3596316 3845280 3909368 4085610 4230960 4357984 4398039 4495395 4614336 4630358 4716480 4795088 4886710 4902732 5077152 5127040 5394474 5447480 5641280 5659776 5767920 5864052 5973120 5993860 6128415 6346440 6536976 6769536 6945537 7074720 7192632 7330065 7690560 7818736 8171220 8307407 8461920 8715968 8796078 8990790 9228672 9260716 9432960 9590176 9773420 9805464 10154304 10788948 10894960 11282560 11535840 11575895 11728104 11987720 12256830 12692880 13073952 13486185 13891074 14149440 14385264 14660130 15381120 15637472 16342440 16614814 16923840 17431936 17592156 17981580 18521432 19180352 19546840 19610928 20308608 20836611 21577896 21789920 21990195 23071680 23151790 23456208 23975440 24513660 24922221 25385760 26147904 26972370 27782148 28298880 28770528 29320260 31274944 32684880 33229628 33847680 34727685 35184312 35963160 37042864 38360704 39093680 39221856 39358043 41537035 41673222 43155792 43579840 43980390 46143360 46303580 46912416 47950880 49027320 49844442 50771520 52295808 53944740 55564296 57541056 58640520 62549888 65369760 66459256 69455370 70368624 71926320 74085728 74766663 78187360 78443712 78716086 83074070 83346444 86311584 87159680 87960780 92607160 93824832 95901760 98054640 99688884 101543040 104183055 107889480 111128592 115082112 117281040 118074129 124611105 130739520 132918512 138910740 140737248 141225919 143852640 148171456 149533326 156374720 156887424 157432172 166148140 166692888 172623168 175921560 185214320 187649664 191803520 196109280 196790215 199377768 208366110 215778960 222257184 234562080 236148258 249222210 261479040 265837024 277821480 281474496 282451838 287705280 296342912 299066652 312749440 314864344 332296280 333385776 345246336 351843120 354222387 370428640 373833315 392218560 393580430 398755536 416732220 423677757 431557920 444514368 469124160 472296516 498444420 531674048 555642960 562948992 564903676 575410560 590370645 598133304 629728688 664592560 666771552 703686240 706129595 708444774 740857280 747666630 784437120 787160860 797511072 833464440 847355514 863115840 889028736 938248320 944593032 996888840 1063348096 1111285920 1129807352 1180741290 1196266608 1259457376 1271033271 1329185120 1333543104 1407372480 1412259190 1416889548 1481714560 1495333260 1574321720 1595022144 1666928880 1694711028 1726231680 1771111935 1889186064 1993777680 2118388785 2222571840 2259614704 2361482580 2392533216 2400840623 2518914752 2542066542 2658370240 2667086208 2814744960 2824518380 2833779096 2990666520 3148643440 3190044288 3333857760 3389422056 3542223870 3778372128 3987555360 4236777570 4445143680 4519229408 4722965160 4785066432 4801681246 5037829504 5084133084 5316740480 5649036760 5667558192 5981333040 6297286880 6355166355 6667715520 6778844112 7084447740 7202521869 7556744256 7975110720 8473555140 9038458816 9445930320 9570132864 9603362492 10168266168 11298073520 11335116384 11962666080 12004203115 12594573760 12710332710 13335431040 13557688224 14168895480 14405043738 15113488512 15950221440 16947110280 18076917632 18891860640 19206724984 20336532336 21607565607 22596147040 22670232768 23925332160 24008406230 25189147520 25420665420 27115376448 28337790960 28810087476 33894220560 36012609345 37783721280 38413449968 40673064672 43215131214 45192294080 45340465536 47850664320 48016812460 50841330840 54230752896 56675581920 57620174952 67788441120 72025218690 75567442560 76826899936 81346129344 86430262428 90384588160 96033624920 101682661680 108037828035 113351163840 115240349904 135576882240 144050437380 153653799872 162692258688 172860524856 192067249840 203365323360 216075656070 226702327680 230480699808 271153764480 288100874760 307307599744 345721049712 384134499680 406730646720 432151312140 460961399616 576201749520 691442099424 768268999360 813461293440 864302624280 921922799232 1152403499040 1382884198848 1536537998720 1728605248560 2304806998080 2765768397696 3457210497120 4609613996160 6914420994240 13828841988480
- Sum of all divisors σ(n): 51574843195200
- Sum of proper divisors (its aliquot sum) s(n): 37746001206720
- 13828841988480 is an abundant number, because the sum of its proper divisors (37746001206720) is greater than itself. Its abundance is 23917159218240
Bases of 13828841988480
- Binary: 110010010011110001110011011011100001100000002
- Hexadecimal: 0xC93C736E180
- Base-36: 4WGVRGWW0
Squares and roots of 13828841988480
- 13828841988480 squared (138288419884802) is 191236870742347480452710400
- 13828841988480 cubed (138288419884803) is 2644584467867297265326777618541576192000
-
The
square root of 13828841988480 is 3718715.0991276545 -
The
cube root of 13828841988480 is 24002.8017495789
Scales and comparisons
How big is 13828841988480?- 13,828,841,988,480 seconds is equal to 439,714 years, 20 weeks, 5 days, 12 hours, 48 minutes.
-
To count from 1 to 13,828,841,988,480 would take you about one million, ninety-nine thousand, two hundred eighty-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 13828841988480 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828841988480
- 13828841988480 backwards is 08488914882831
- 13828841988480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13828841988480's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13828841988480 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13828841988480 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13828841988480/
Chicago style:
Numbermatics. 2024. "Number 13828841988480 - Facts about the integer". https://numbermatics.com/n/13828841988480/
The information we have on file for 13828841988480 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 13828841988480, math, Factors of 13828841988480, curriculum, school, college, exams, university, Prime factorization of 13828841988480, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred twenty-eight billion, eight hundred forty-one million, nine hundred eighty-eight thousand, four hundred eighty.