134513648908800
134,513,648,908,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134513648908800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
134513648908800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 134513648908800:
29 × 3 × 52 × 7 × 31 × 3617 × 4463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 3617 × 4463)See below for interesting mathematical facts about the number 134513648908800 from the Numbermatics database.
Names of 134513648908800
- Cardinal: 134513648908800 can be written as One hundred thirty-four trillion, five hundred thirteen billion, six hundred forty-eight million, nine hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.345136489088 × 1014
Factors of 134513648908800
Divisors of 134513648908800
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 128 140 150 155 160 168 175 186 192 200 210 217 224 240 248 256 280 300 310 320 336 350 372 384 400 420 434 448 465 480 496 512 525 560 600 620 640 651 672 700 744 768 775 800 840 868 896 930 960 992 1050 1085 1120 1200 1240 1280 1302 1344 1400 1488 1536 1550 1600 1680 1736 1792 1860 1920 1984 2100 2170 2240 2325 2400 2480 2560 2604 2688 2800 2976 3100 3200 3255 3360 3472 3584 3617 3720 3840 3968 4200 4340 4463 4480 4650 4800 4960 5208 5376 5425 5600 5952 6200 6400 6510 6720 6944 7234 7440 7680 7936 8400 8680 8926 8960 9300 9600 9920 10416 10752 10850 10851 11200 11904 12400 12800 13020 13389 13440 13888 14468 14880 15872 16275 16800 17360 17852 17920 18085 18600 19200 19840 20832 21700 21702 22315 22400 23808 24800 25319 26040 26778 26880 27776 28936 29760 31241 32550 33600 34720 35704 36170 37200 38400 39680 41664 43400 43404 44630 44800 47616 49600 50638 52080 53556 53760 54255 55552 57872 59520 62482 65100 66945 67200 69440 71408 72340 74400 75957 79360 83328 86800 86808 89260 89600 90425 93723 99200 101276 104160 107112 108510 111104 111575 112127 115744 119040 124964 126595 130200 133890 134400 138353 138880 142816 144680 148800 151914 156205 166656 173600 173616 178520 180850 187446 198400 202552 208320 214224 217020 223150 224254 231488 238080 249928 253190 260400 267780 268800 271275 276706 277760 285632 289360 297600 303828 312410 333312 334725 336381 347200 347232 357040 361700 374892 379785 396800 405104 415059 416640 428448 434040 446300 448508 462976 468615 499856 506380 520800 535560 542550 553412 555520 560635 571264 578720 595200 607656 624820 632975 669450 672762 691765 694400 694464 714080 723400 749784 759570 781025 784889 810208 830118 833280 856896 868080 892600 897016 925952 937230 968471 999712 1012760 1041600 1071120 1085100 1106824 1121270 1142528 1157440 1190400 1215312 1249640 1265950 1338900 1345524 1383530 1388800 1388928 1428160 1446800 1499568 1519140 1562050 1569778 1620416 1660236 1666560 1681905 1713792 1736160 1785200 1794032 1851904 1874460 1898925 1936942 1999424 2025520 2075295 2083200 2142240 2170200 2213648 2242540 2285056 2314880 2343075 2354667 2430624 2499280 2531900 2677800 2691048 2767060 2777600 2777856 2803175 2856320 2893600 2905413 2999136 3038280 3124100 3139556 3240832 3320472 3363810 3427584 3458825 3472320 3570400 3588064 3748920 3797850 3873884 3924445 3998848 4051040 4150590 4166400 4284480 4340400 4427296 4485080 4629760 4686150 4709334 4842355 4861248 4998560 5063800 5355600 5382096 5534120 5555712 5606350 5712640 5787200 5810826 5998272 6076560 6248200 6279112 6481664 6640944 6727620 6855168 6917650 6944640 7140800 7176128 7497840 7595700 7747768 7848890 7997696 8102080 8301180 8332800 8409525 8568960 8680800 8854592 8970160 9259520 9372300 9418668 9684710 9722496 9997120 10127600 10376475 10711200 10764192 11068240 11212700 11425280 11574400 11621652 11773335 11996544 12153120 12496400 12558224 12963328 13281888 13455240 13835300 13889280 14281600 14352256 14527065 14995680 15191400 15495536 15697780 15995392 16142671 16204160 16602360 16819050 17137920 17361600 17709184 17940320 18744600 18837336 19369420 19444992 19622225 19994240 20255200 20752950 21422400 21528384 22136480 22425400 23148800 23243304 23546670 23993088 24211775 24306240 24992800 25116448 26563776 26910480 27670600 27778560 28563200 28704512 29054130 29991360 30382800 30991072 31395560 32285342 32408320 33204720 33638100 34275840 34723200 35418368 35880640 37489200 37674672 38738840 38889984 39244450 39988480 40510400 41505900 42844800 43056768 44272960 44850800 46297600 46486608 47093340 47986176 48423550 48428013 48612480 49985600 50232896 53127552 53820960 55341200 57126400 57409024 58108260 58866675 59982720 60765600 61982144 62791120 64570684 64816640 66409440 67276200 69446400 70836736 71761280 72635325 74978400 75349344 77477680 78488900 79976960 80713355 81020800 83011800 85689600 86113536 88545920 89701600 92973216 94186680 96847100 96856026 97224960 99971200 100465792 106255104 107641920 110682400 112998697 116216520 117733350 119965440 121531200 123964288 125582240 129141368 132818880 134552400 138892800 143522560 145270650 149956800 150698688 154955360 156977800 161426710 162041600 166023600 171379200 172227072 177091840 179403200 185946432 188373360 193694200 193712052 194449920 199942400 200931584 212510208 215283840 221364800 225997394 232433040 235466700 239930880 242140065 243062400 247928576 251164480 258282736 265637760 269104800 287045120 290541300 299913600 301397376 309910720 313955600 322853420 324083200 332047200 338996091 354183680 358806400 371892864 376746720 387388400 387424104 399884800 401863168 403566775 430567680 442729600 451994788 464866080 470933400 484280130 486124800 495857152 500422801 502328960 516565472 531275520 538209600 564993485 581082600 599827200 602794752 619821440 627911200 645706840 664094400 677992182 717612800 743785728 753493440 774776800 774848208 807133550 861135360 885459200 903989576 929732160 941866800 968560260 972249600 1000845602 1004657920 1033130944 1062551040 1076419200 1129986970 1162165200 1199654400 1205589504 1210700325 1239642880 1255822400 1291413680 1328188800 1355984364 1435225600 1487571456 1501268403 1506986880 1549553600 1549696416 1614267100 1694980455 1770918400 1807979152 1859464320 1883733600 1937120520 2001691204 2009315840 2066261888 2152838400 2259973940 2324330400 2421400650 2479285760 2502114005 2511644800 2582827360 2656377600 2711968728 2824967425 3002536806 3013973760 3099107200 3099392832 3228534200 3389960910 3502959607 3615958304 3718928640 3767467200 3874241040 4003382408 4132523776 4305676800 4519947880 4648660800 4842801300 5004228010 5023289600 5165654720 5312755200 5423937456 5649934850 6005073612 6027947520 6198214400 6198785664 6457068400 6779921820 7005919214 7231916608 7437857280 7506342015 7534934400 7748482080 8006764816 8265047552 8474902275 9039895760 9297321600 9685602600 10008456020 10046579200 10331309440 10508878821 10847874912 11299869700 12010147224 12396428800 12397571328 12510570025 12914136800 13559843640 14011838428 14463833216 15012684030 15069868800 15496964160 16013529632 16949804550 17514798035 18079791520 18594643200 19371205200 20016912040 20662618880 21017757642 21695749824 22599739400 24020294448 24795142656 25021140050 25828273600 27119687280 28023676856 28927666432 30025368060 30139737600 30993928320 32027059264 33899609100 35029596070 36159583040 37189286400 37531710075 38742410400 40033824080 41325237760 42035515284 43391499648 45199478800 48040588896 50042280100 51656547200 52544394105 54239374560 56047353712 57855332864 60050736120 61987856640 64054118528 67799218200 70059192140 72319166080 75063420150 77484820800 80067648160 84071030568 86782999296 87573990175 90398957600 96081177792 100084560200 103313094400 105088788210 108478749120 112094707424 120101472240 123975713280 128108237056 135598436400 140118384280 144638332160 150126840300 154969641600 160135296320 168142061136 173565998592 175147980350 180797915200 192162355584 200169120400 206626188800 210177576420 216957498240 224189414848 240202944480 256216474112 262721970525 271196872800 280236768560 289276664320 300253680600 309939283200 320270592640 336284122272 350295960700 361595830400 384324711168 400338240800 420355152840 433914996480 448378829696 480405888960 525443941050 542393745600 560473537120 600507361200 619878566400 640541185280 672568244544 700591921400 723191660800 768649422336 800676481600 840710305680 867829992960 896757659392 960811777920 1050887882100 1084787491200 1120947074240 1201014722400 1281082370560 1345136489088 1401183842800 1446383321600 1601352963200 1681420611360 1793515318784 1921623555840 2101775764200 2169574982400 2241894148480 2402029444800 2690272978176 2802367685600 3202705926400 3362841222720 3843247111680 4203551528400 4339149964800 4483788296960 4804058889600 5380545956352 5604735371200 6405411852800 6725682445440 8407103056800 8967576593920 9608117779200 11209470742400 13451364890880 16814206113600 19216235558400 22418941484800 26902729781760 33628412227200 44837882969600 67256824454400 134513648908800
- Sum of all divisors σ(n): 524481329332224
- Sum of proper divisors (its aliquot sum) s(n): 389967680423424
- 134513648908800 is an abundant number, because the sum of its proper divisors (389967680423424) is greater than itself. Its abundance is 255454031514624
Bases of 134513648908800
- Binary: 111101001010110111001100100001010111010000000002
- Hexadecimal: 0x7A56E642BA00
- Base-36: 1BOIPTIQYO
Squares and roots of 134513648908800
- 134513648908800 squared (1345136489088002) is 18093921742759911430717440000
- 134513648908800 cubed (1345136489088003) is 2433879436688909354522909619857129472000000
-
The
square root of 134513648908800 is 11598001.9360577795 -
The
cube root of 134513648908800 is 51237.6006691459
Scales and comparisons
How big is 134513648908800?- 134,513,648,908,800 seconds is equal to 4,277,117 years, 49 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 134,513,648,908,800 would take you about ten million, six hundred ninety-two thousand, seven hundred ninety-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 134513648908800 cubic inches would be around 4269.8 feet tall.
Recreational maths with 134513648908800
- 134513648908800 backwards is 008809846315431
- 134513648908800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134513648908800's digits is 60
- 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 134513648908800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 November 2024.
APA style:
Numbermatics. (2024). Number 134513648908800 - Facts about the integer. Retrieved 15 November 2024, from https://numbermatics.com/n/134513648908800/
Chicago style:
Numbermatics. 2024. "Number 134513648908800 - Facts about the integer". https://numbermatics.com/n/134513648908800/
The information we have on file for 134513648908800 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 134513648908800, math, Factors of 134513648908800, curriculum, school, college, exams, university, Prime factorization of 134513648908800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four trillion, five hundred thirteen billion, six hundred forty-eight million, nine hundred eight thousand, eight hundred.