135823629312000
135,823,629,312,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135823629312000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
135823629312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 135823629312000:
213 × 32 × 53 × 7 × 14512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 1451 × 1451)See below for interesting mathematical facts about the number 135823629312000 from the Numbermatics database.
Names of 135823629312000
- Cardinal: 135823629312000 can be written as One hundred thirty-five trillion, eight hundred twenty-three billion, six hundred twenty-nine million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.35823629312 × 1014
Factors of 135823629312000
Divisors of 135823629312000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 480 500 504 512 525 560 576 600 630 640 672 700 720 750 768 800 840 875 896 900 960 1000 1008 1024 1050 1120 1125 1152 1200 1260 1280 1344 1400 1440 1451 1500 1536 1575 1600 1680 1750 1792 1800 1920 2000 2016 2048 2100 2240 2250 2304 2400 2520 2560 2625 2688 2800 2880 2902 3000 3072 3150 3200 3360 3500 3584 3600 3840 4000 4032 4096 4200 4353 4480 4500 4608 4800 5040 5120 5250 5376 5600 5760 5804 6000 6144 6300 6400 6720 7000 7168 7200 7255 7680 7875 8000 8064 8192 8400 8706 8960 9000 9216 9600 10080 10157 10240 10500 10752 11200 11520 11608 12000 12288 12600 12800 13059 13440 14000 14336 14400 14510 15360 15750 16000 16128 16800 17412 17920 18000 18432 19200 20160 20314 20480 21000 21504 21765 22400 23040 23216 24000 24576 25200 25600 26118 26880 28000 28672 28800 29020 30471 30720 31500 32000 32256 33600 34824 35840 36000 36275 36864 38400 40320 40628 40960 42000 43008 43530 44800 46080 46432 48000 50400 50785 51200 52236 53760 56000 57344 57600 58040 60942 61440 63000 64000 64512 65295 67200 69648 71680 72000 72550 73728 76800 80640 81256 84000 86016 87060 89600 91413 92160 92864 96000 100800 101570 102400 104472 107520 108825 112000 115200 116080 121884 122880 126000 128000 129024 130590 134400 139296 143360 144000 145100 152355 153600 161280 162512 168000 172032 174120 179200 181375 182826 184320 185728 192000 201600 203140 204800 208944 215040 217650 224000 230400 232160 243768 252000 253925 256000 258048 261180 268800 278592 286720 288000 290200 304710 307200 322560 325024 326475 336000 348240 358400 362750 365652 368640 371456 384000 403200 406280 417888 430080 435300 448000 457065 460800 464320 487536 504000 507850 512000 516096 522360 537600 544125 557184 576000 580400 609420 614400 645120 650048 652950 672000 696480 716800 725500 731304 742912 761775 768000 806400 812560 835776 860160 870600 896000 914130 921600 928640 975072 1008000 1015700 1024000 1044720 1075200 1088250 1114368 1152000 1160800 1218840 1269625 1290240 1300096 1305900 1344000 1392960 1433600 1451000 1462608 1485824 1523550 1536000 1612800 1625120 1632375 1671552 1741200 1792000 1828260 1843200 1857280 1950144 2016000 2031400 2089440 2105401 2150400 2176500 2228736 2285325 2304000 2321600 2437680 2539250 2580480 2600192 2611800 2688000 2785920 2902000 2925216 2971648 3047100 3072000 3225600 3250240 3264750 3343104 3482400 3584000 3656520 3714560 3808875 3900288 4032000 4062800 4178880 4210802 4300800 4353000 4457472 4570650 4608000 4643200 4875360 5078500 5200384 5223600 5376000 5571840 5804000 5850432 5943296 6094200 6316203 6451200 6500480 6529500 6686208 6964800 7168000 7313040 7429120 7617750 7800576 8064000 8125600 8357760 8421604 8706000 8914944 9141300 9216000 9286400 9750720 10157000 10400768 10447200 10527005 10752000 11143680 11426625 11608000 11700864 11886592 12188400 12632406 12902400 13000960 13059000 13372416 13929600 14626080 14737807 14858240 15235500 15601152 16128000 16251200 16715520 16843208 17412000 17829888 18282600 18572800 18948609 19501440 20314000 20801536 20894400 21054010 21504000 22287360 22853250 23216000 23401728 24376800 25264812 26001920 26118000 26744832 27859200 29252160 29475614 29716480 30471000 31202304 31581015 32256000 32502400 33431040 33686416 34824000 35659776 36565200 37145600 37897218 39002880 40628000 41603072 41788800 42108020 44213421 44574720 45706500 46432000 46803456 48753600 50529624 52003840 52236000 52635025 53489664 55718400 58504320 58951228 59432960 60942000 62404608 63162030 64512000 65004800 66862080 67372832 69648000 73130400 73689035 74291200 75794436 78005760 81256000 83206144 83577600 84216040 88426842 89149440 91413000 92864000 93606912 94743045 97507200 101059248 104007680 104472000 105270050 106979328 111436800 117008640 117902456 121884000 124809216 126324060 130009600 132640263 133724160 134745664 139296000 146260800 147378070 148582400 151588872 156011520 157905075 162512000 167155200 168432080 176853684 178298880 182826000 185728000 187213824 189486090 195014400 202118496 208015360 208944000 210540100 221067105 222873600 234017280 235804912 243768000 249618432 252648120 260019200 263175125 265280526 267448320 269491328 278592000 292521600 294756140 297164800 303177744 312023040 315810150 325024000 334310400 336864160 353707368 365652000 368445175 371456000 374427648 378972180 390028800 404236992 416030720 417888000 421080200 442134210 445747200 468034560 471609824 473715225 487536000 505296240 520038400 526350250 530561052 534896640 538982656 557184000 585043200 589512280 606355488 624046080 631620300 650048000 663201315 668620800 673728320 707414736 731304000 736890350 742912000 748855296 757944360 780057600 789525375 808473984 835776000 842160400 884268420 891494400 936069120 943219648 947430450 975072000 1010592480 1040076800 1052700500 1061122104 1077965312 1105335525 1114368000 1170086400 1179024560 1212710976 1248092160 1263240600 1300096000 1326402630 1337241600 1347456640 1414829472 1462608000 1473780700 1485824000 1515888720 1560115200 1579050750 1616947968 1671552000 1684320800 1768536840 1842225875 1872138240 1886439296 1894860900 1950144000 2021184960 2080153600 2105401000 2122244208 2155930624 2210671050 2228736000 2340172800 2358049120 2368576125 2425421952 2526481200 2600192000 2652805260 2674483200 2694913280 2829658944 2925216000 2947561400 3031777440 3120230400 3158101500 3233895936 3316006575 3343104000 3368641600 3537073680 3684451750 3744276480 3772878592 3789721800 3900288000 4042369920 4210802000 4244488416 4311861248 4421342100 4457472000 4680345600 4716098240 4737152250 4850843904 5052962400 5200384000 5305610520 5389826560 5526677625 5659317888 5850432000 5895122800 6063554880 6240460800 6316203000 6467791872 6632013150 6686208000 6737283200 7074147360 7368903500 7545757184 7579443600 7800576000 8084739840 8421604000 8488976832 8623722496 8842684200 9360691200 9432196480 9474304500 9701687808 10105924800 10400768000 10611221040 10779653120 11053355250 11318635776 11700864000 11790245600 12127109760 12632406000 12935583744 13264026300 13372416000 13474566400 14148294720 14737807000 15091514368 15158887200 15601152000 16169479680 16580032875 16843208000 16977953664 17247444992 17685368400 18721382400 18864392960 18948609000 19403375616 20211849600 21222442080 21559306240 22106710500 22637271552 23401728000 23580491200 24254219520 25264812000 25871167488 26528052600 26949132800 28296589440 29475614000 30183028736 30317774400 31202304000 32338959360 33160065750 33686416000 33955907328 35370736800 37728785920 37897218000 38806751232 40423699200 42444884160 43118612480 44213421000 45274543104 46803456000 47160982400 48508439040 50529624000 51742334976 53056105200 53898265600 56593178880 58951228000 60366057472 60635548800 64677918720 66320131500 67372832000 67911814656 70741473600 75457571840 75794436000 77613502464 80847398400 84889768320 86237224960 88426842000 90549086208 93606912000 94321964800 97016878080 101059248000 106112210400 107796531200 113186357760 117902456000 120732114944 121271097600 129355837440 132640263000 134745664000 135823629312 141482947200 150915143680 151588872000 155227004928 161694796800 169779536640 176853684000 181098172416 188643929600 194033756160 202118496000 212224420800 215593062400 226372715520 235804912000 242542195200 258711674880 265280526000 269491328000 271647258624 282965894400 301830287360 303177744000 323389593600 339559073280 353707368000 362196344832 377287859200 388067512320 404236992000 424448841600 431186124800 452745431040 471609824000 485084390400 530561052000 538982656000 543294517248 565931788800 603660574720 606355488000 646779187200 679118146560 707414736000 754575718400 776135024640 808473984000 848897683200 905490862080 943219648000 970168780800 1061122104000 1077965312000 1086589034496 1131863577600 1212710976000 1293558374400 1358236293120 1414829472000 1509151436800 1616947968000 1697795366400 1810981724160 1886439296000 1940337561600 2122244208000 2155930624000 2263727155200 2425421952000 2716472586240 2829658944000 3018302873600 3233895936000 3395590732800 3772878592000 3880675123200 4244488416000 4527454310400 4850843904000 5432945172480 5659317888000 6467791872000 6791181465600 7545757184000 8488976832000 9054908620800 9701687808000 11318635776000 13582362931200 15091514368000 16977953664000 19403375616000 22637271552000 27164725862400 33955907328000 45274543104000 67911814656000 135823629312000
- Sum of all divisors σ(n): 559996875468576
- Sum of proper divisors (its aliquot sum) s(n): 424173246156576
- 135823629312000 is an abundant number, because the sum of its proper divisors (424173246156576) is greater than itself. Its abundance is 288349616844576
Bases of 135823629312000
- Binary: 111101110000111111001110010110101100000000000002
- Hexadecimal: 0x7B87E72D6000
- Base-36: 1C58II1340
Squares and roots of 135823629312000
- 135823629312000 squared (1358236293120002) is 18448058279483585593344000000
- 135823629312000 cubed (1358236293120003) is 2505682229278751024418979030499328000000000
-
The
square root of 135823629312000 is 11654339.5056090587 -
The
cube root of 135823629312000 is 51403.3918678967
Scales and comparisons
How big is 135823629312000?- 135,823,629,312,000 seconds is equal to 4,318,771 years, 14 weeks, 4 days, 16 hours.
-
To count from 1 to 135,823,629,312,000 would take you about ten million, seven hundred ninety-six thousand, nine hundred twenty-eight 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 135823629312000 cubic inches would be around 4283.6 feet tall.
Recreational maths with 135823629312000
- 135823629312000 backwards is 000213926328531
- 135823629312000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135823629312000's digits is 45
- More coming soon!
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The information we have on file for 135823629312000 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!
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