13742131520000
13,742,131,520,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742131520000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
13742131520000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 13742131520000:
29 × 54 × 13 × 19 × 372 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 19 × 37 × 37 × 127)See below for interesting mathematical facts about the number 13742131520000 from the Numbermatics database.
Names of 13742131520000
- Cardinal: 13742131520000 can be written as Thirteen trillion, seven hundred forty-two billion, one hundred thirty-one million, five hundred twenty thousand.
Scientific notation
- Scientific notation: 1.374213152 × 1013
Factors of 13742131520000
Divisors of 13742131520000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 37 38 40 50 52 64 65 74 76 80 95 100 104 125 127 128 130 148 152 160 185 190 200 208 247 250 254 256 260 296 304 320 325 370 380 400 416 475 481 494 500 508 512 520 592 608 625 635 640 650 703 740 760 800 832 925 950 962 988 1000 1016 1040 1184 1216 1235 1250 1270 1280 1300 1369 1406 1480 1520 1600 1625 1651 1664 1850 1900 1924 1976 2000 2032 2080 2368 2375 2405 2413 2432 2470 2500 2540 2560 2600 2738 2812 2960 3040 3175 3200 3250 3302 3328 3515 3700 3800 3848 3952 4000 4064 4160 4625 4699 4736 4750 4810 4826 4864 4940 5000 5080 5200 5476 5624 5920 6080 6175 6350 6400 6500 6604 6656 6845 7030 7400 7600 7696 7904 8000 8125 8128 8255 8320 9139 9250 9398 9472 9500 9620 9652 9728 9880 10000 10160 10400 10952 11248 11840 11875 12025 12065 12160 12350 12700 12800 13000 13208 13690 14060 14800 15200 15392 15808 15875 16000 16250 16256 16510 16640 17575 17797 18278 18500 18796 18944 19000 19240 19304 19760 20000 20320 20800 21904 22496 23125 23495 23680 23750 24050 24130 24320 24700 25400 26000 26011 26416 27380 28120 29600 30400 30784 30875 31369 31616 31750 32000 32500 32512 33020 33280 34225 35150 35594 36556 37000 37592 38000 38480 38608 39520 40000 40640 41275 41600 43808 44992 45695 46250 46990 47360 47500 48100 48260 48640 49400 50800 52000 52022 52832 54760 56240 59200 60125 60325 60800 61087 61568 61750 62738 63232 63500 64000 65000 65024 66040 68450 70300 71188 73112 74000 75184 76000 76960 77216 79040 79375 80000 81280 82550 83200 87616 87875 88985 89281 89984 91390 92500 93980 94720 95000 96200 96520 98800 101600 104000 104044 105664 109520 112480 117475 118400 120250 120650 121600 122174 123136 123500 125476 126464 127000 130000 130055 132080 136900 140600 142376 146224 148000 150368 152000 153920 154375 154432 156845 158080 158750 160000 162560 165100 166400 171125 173863 175232 175750 177970 178562 179968 182780 185000 187960 190000 192400 193040 197600 203200 206375 208000 208088 211328 219040 224960 228475 234950 236800 240500 241300 243200 244348 246272 247000 250952 254000 260000 260110 264160 273800 281200 284752 292448 296000 300625 300736 301625 304000 305435 307840 308750 308864 313690 316160 317500 320000 325120 330200 338143 342250 347726 350464 351500 355940 357124 359936 365560 370000 375920 380000 384800 386080 395200 406400 412750 416000 416176 422656 438080 439375 444925 446405 449920 456950 469900 473600 481000 482600 488696 494000 501904 508000 520000 520220 528320 547600 562400 569504 584896 587375 592000 601250 601472 603250 608000 610870 615680 617500 617728 627380 632320 635000 650275 660400 676286 684500 695452 700928 703000 711880 714248 731120 740000 751840 760000 769600 772160 784225 790400 812800 825500 832000 832352 845312 855625 869315 876160 878750 889850 892810 899840 913900 939800 962000 965200 977392 988000 1003808 1016000 1031875 1040000 1040440 1056640 1095200 1124800 1139008 1142375 1160653 1169792 1174750 1184000 1202500 1202944 1206500 1216000 1221740 1231360 1235000 1235456 1254760 1270000 1300550 1320800 1352572 1369000 1390904 1406000 1423760 1428496 1462240 1480000 1503680 1508125 1520000 1527175 1539200 1544320 1568450 1580800 1625600 1651000 1664704 1690715 1711250 1738630 1752320 1757500 1779700 1785620 1799680 1827800 1879600 1924000 1930400 1954784 1976000 2007616 2032000 2063750 2080000 2080880 2113280 2190400 2224625 2232025 2249600 2260219 2278016 2284750 2321306 2339584 2349500 2368000 2405000 2405888 2413000 2443480 2470000 2509520 2540000 2601100 2641600 2705144 2738000 2781808 2812000 2847520 2856992 2924480 2936875 2960000 3007360 3016250 3040000 3054350 3078400 3088640 3136900 3161600 3251375 3302000 3303397 3329408 3381430 3422500 3477260 3504640 3515000 3559400 3571240 3655600 3759200 3848000 3860800 3909568 3921125 3952000 4015232 4064000 4127500 4160000 4161760 4226560 4346575 4380800 4449250 4464050 4499200 4520438 4556032 4569500 4642612 4679168 4699000 4810000 4826000 4886960 4940000 5019040 5080000 5202200 5283200 5410288 5476000 5563616 5624000 5695040 5711875 5713984 5803265 5848960 5873750 5920000 6014720 6032500 6080000 6108700 6156800 6177280 6273800 6502750 6604000 6606794 6658816 6762860 6845000 6954520 7030000 7118800 7142480 7311200 7518400 7635875 7696000 7721600 7819136 7842250 7904000 8030464 8128000 8255000 8323520 8453575 8693150 8761600 8898500 8928100 8998400 9040876 9112064 9139000 9285224 9398000 9620000 9652000 9773920 9880000 10038080 10160000 10404400 10566400 10820576 10952000 11123125 11127232 11160125 11248000 11301095 11390080 11423750 11427968 11606530 11697920 11747500 11840000 12029440 12065000 12217400 12547600 13005500 13208000 13213588 13317632 13525720 13690000 13909040 14060000 14237600 14284960 14622400 15036800 15271750 15392000 15443200 15638272 15684500 15808000 16060928 16256875 16510000 16516985 16647040 16907150 17386300 17523200 17797000 17856200 18081752 18278000 18570448 18796000 19240000 19304000 19547840 19605625 19760000 20076160 20320000 20808800 21132800 21641152 21732875 21904000 22246250 22254464 22320250 22496000 22602190 22780160 22847500 22855936 23213060 23395840 23495000 24130000 24434800 25095200 26011000 26416000 26427176 27051440 27380000 27818080 28120000 28475200 28569920 29016325 29244800 30073600 30543500 30784000 30886400 31276544 31369000 32513750 33020000 33033970 33294080 33814300 34772600 35594000 35712400 36163504 36556000 37140896 37592000 38179375 38480000 38608000 39095680 39211250 39520000 40152320 40640000 41617600 42267875 42944161 43282304 43465750 43808000 44492500 44508928 44640500 44992000 45204380 45560320 45695000 45711872 46426120 46990000 48260000 48869600 50190400 52022000 52832000 52854352 54102880 54760000 55636160 55800625 56240000 56505475 56950400 57139840 58032650 58489600 60147200 61087000 62738000 65027500 66040000 66067940 66588160 67628600 69545200 71188000 71424800 72327008 73112000 74281792 75184000 76358750 76960000 77216000 78191360 78422500 79040000 80304640 82584925 83235200 84535750 85888322 86564608 86931500 87616000 88985000 89017856 89281000 90408760 91390000 92852240 93980000 96520000 97739200 100380800 104044000 105664000 105708704 108205760 108664375 109520000 111272320 111601250 112480000 113010950 113900800 114279680 116065300 116979200 122174000 125476000 130055000 132080000 132135880 135257200 139090400 142376000 142849600 144654016 145081625 146224000 148563584 150368000 152717500 153920000 154432000 156382720 156845000 165169850 166470400 169071500 171776644 173129216 173863000 177970000 178562000 180817520 182780000 185704480 187960000 193040000 195478400 200761600 208088000 211339375 211417408 214720805 216411520 217328750 219040000 222544640 223202500 224960000 226021900 227801600 228559360 232130600 244348000 250952000 260110000 264160000 264271760 270514400 278180800 282527375 284752000 285699200 289308032 290163250 292448000 297127168 300736000 305435000 313690000 330339700 332940800 338143000 343553288 347726000 355940000 357124000 361635040 365560000 371408960 375920000 386080000 390956800 401523200 412924625 416176000 422678750 422834816 429441610 432823040 434657500 438080000 445089280 446405000 452043800 464261200 488696000 501904000 520220000 528320000 528543520 541028800 556361600 565054750 569504000 571398400 578616064 580326500 584896000 594254336 610870000 627380000 660679400 676286000 687106576 695452000 711880000 714248000 723270080 725408125 731120000 742817920 751840000 772160000 781913600 825849250 832352000 845357500 845669632 858883220 865646080 869315000 892810000 904087600 928522400 977392000 1003808000 1040440000 1057087040 1073604025 1082057600 1112723200 1130109500 1139008000 1142796800 1157232128 1160653000 1221740000 1254760000 1321358800 1352572000 1374213152 1390904000 1412636875 1423760000 1428496000 1446540160 1450816250 1462240000 1485635840 1503680000 1651698500 1664704000 1690715000 1691339264 1717766440 1738630000 1785620000 1808175200 1857044800 1954784000 2007616000 2064623125 2080880000 2114174080 2147208050 2164115200 2225446400 2260219000 2321306000 2443480000 2509520000 2642717600 2705144000 2748426304 2781808000 2825273750 2847520000 2856992000 2893080320 2901632500 2924480000 2971271680 3303397000 3381430000 3435532880 3477260000 3571240000 3616350400 3714089600 3909568000 4129246250 4161760000 4228348160 4294416100 4328230400 4520438000 4642612000 4886960000 5019040000 5285435200 5368020125 5410288000 5496852608 5563616000 5650547500 5695040000 5713984000 5786160640 5803265000 6606794000 6762860000 6871065760 6954520000 7142480000 7232700800 7428179200 8258492500 8323520000 8456696320 8588832200 9040876000 9285224000 9773920000 10038080000 10570870400 10736040250 10820576000 10993705216 11127232000 11301095000 11606530000 13213588000 13525720000 13742131520 13909040000 14284960000 14465401600 14856358400 16516985000 17177664400 18081752000 18570448000 19547840000 21141740800 21472080500 21641152000 21987410432 22602190000 23213060000 26427176000 26840100625 27051440000 27484263040 27818080000 28569920000 28930803200 33033970000 34355328800 36163504000 37140896000 42283481600 42944161000 45204380000 46426120000 52854352000 53680201250 54102880000 54968526080 55636160000 66067940000 68710657600 72327008000 74281792000 85888322000 90408760000 92852240000 105708704000 107360402500 108205760000 109937052160 132135880000 137421315200 144654016000 171776644000 180817520000 185704480000 211417408000 214720805000 264271760000 274842630400 343553288000 361635040000 371408960000 429441610000 528543520000 549685260800 687106576000 723270080000 858883220000 1057087040000 1374213152000 1717766440000 2748426304000 3435532880000 6871065760000 13742131520000
- Sum of all divisors σ(n): 40289211325440
- Sum of proper divisors (its aliquot sum) s(n): 26547079805440
- 13742131520000 is an abundant number, because the sum of its proper divisors (26547079805440) is greater than itself. Its abundance is 12804948285440
Bases of 13742131520000
- Binary: 110001111111100101101101111000100010000000002
- Hexadecimal: 0xC7F96DE2200
- Base-36: 4VD1QAN7K
Squares and roots of 13742131520000
- 13742131520000 squared (137421315200002) is 188846178712977510400000000
- 13742131520000 cubed (137421315200003) is 2595149024923161278718967808000000000000
-
The
square root of 13742131520000 is 3707038.1060895503 -
The
cube root of 13742131520000 is 23952.5285719629
Scales and comparisons
How big is 13742131520000?- 13,742,131,520,000 seconds is equal to 436,957 years, 14 weeks, 2 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,742,131,520,000 would take you about one million, ninety-two thousand, three hundred ninety-three 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 13742131520000 cubic inches would be around 1996 feet tall.
Recreational maths with 13742131520000
- 13742131520000 backwards is 00002513124731
- The number of decimal digits it has is: 14
- The sum of 13742131520000's digits is 29
- More coming soon!
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The information we have on file for 13742131520000 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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