13074735102000
13,074,735,102,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13074735102000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
13074735102000 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 13074735102000:
24 × 3 × 53 × 114 × 13 × 1072
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 13 × 107 × 107)See below for interesting mathematical facts about the number 13074735102000 from the Numbermatics database.
Names of 13074735102000
- Cardinal: 13074735102000 can be written as Thirteen trillion, seventy-four billion, seven hundred thirty-five million, one hundred two thousand.
Scientific notation
- Scientific notation: 1.3074735102 × 1013
Factors of 13074735102000
Divisors of 13074735102000
- Number of divisors d(n): 1200
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 33 39 40 44 48 50 52 55 60 65 66 75 78 80 88 100 104 107 110 120 121 125 130 132 143 150 156 165 176 195 200 208 214 220 240 242 250 260 264 275 286 300 312 321 325 330 363 375 390 400 428 429 440 484 500 520 528 535 550 572 600 605 624 642 650 660 715 726 750 780 825 856 858 880 968 975 1000 1040 1070 1100 1144 1177 1200 1210 1284 1300 1320 1331 1375 1391 1430 1452 1500 1560 1573 1605 1625 1650 1712 1716 1815 1936 1950 2000 2140 2145 2200 2288 2354 2420 2568 2600 2640 2662 2675 2750 2782 2860 2904 3000 3025 3120 3146 3210 3250 3300 3432 3531 3575 3630 3900 3993 4125 4173 4280 4290 4400 4708 4719 4840 4875 5136 5200 5324 5350 5500 5564 5720 5808 5885 6000 6050 6292 6420 6500 6600 6655 6864 6955 7062 7150 7260 7800 7865 7986 8025 8250 8346 8560 8580 9075 9416 9438 9680 9750 10648 10700 10725 11000 11128 11440 11449 11770 12100 12584 12840 12947 13000 13200 13310 13375 13910 14124 14300 14520 14641 15125 15301 15600 15730 15972 16050 16500 16692 17160 17303 17655 17875 18150 18832 18876 19500 19965 20865 21296 21400 21450 22000 22256 22898 23540 23595 24200 25168 25680 25894 26000 26620 26750 27820 28248 28600 29040 29282 29425 30250 30602 31460 31944 32100 33000 33275 33384 34320 34347 34606 34775 35310 35750 36300 37752 38841 39000 39325 39930 40125 41730 42800 42900 43923 45375 45796 45903 47080 47190 48400 51788 51909 53240 53500 53625 55640 56496 57200 57245 58564 58850 60500 61204 62920 63888 64200 64735 66000 66550 66768 68694 69212 69550 70620 71500 72600 73205 75504 76505 77682 78000 78650 79860 80250 83460 85800 86515 87846 88275 90750 91592 91806 94160 94380 99825 103576 103818 104325 106480 107000 107250 111280 114490 117128 117700 117975 121000 122408 125840 125939 128400 129470 133100 137388 138424 139100 141240 142417 143000 145200 146410 147125 148837 153010 155364 157300 159720 160500 166375 166920 168311 171600 171735 173030 173875 175692 176550 181500 183184 183612 188760 190333 194205 196625 199650 207152 207636 208650 214000 214500 219615 228980 229515 234256 235400 235950 242000 244816 251878 258940 259545 266200 274776 276848 278200 282480 284834 286000 286225 292820 294250 297674 306020 310728 314600 319440 321000 323675 332750 333840 336622 343470 346060 347750 351384 353100 363000 366025 367224 377520 377817 380666 382525 388410 393250 399300 415272 417300 427251 429000 432575 439230 441375 446511 457960 459030 470800 471900 499125 503756 504933 517880 519090 521625 532400 549552 556400 569668 570999 572450 585640 588500 589875 595348 612040 621456 629200 629695 642000 647350 665500 673244 686940 692120 695500 702768 706200 712085 726000 732050 734448 744185 755634 761332 765050 776820 786500 798600 830544 834600 841555 854502 858000 858675 865150 878460 882750 893022 915920 918060 943800 951665 971025 998250 1007512 1009866 1035760 1038180 1043250 1098075 1139336 1141998 1144900 1147575 1171280 1177000 1179750 1190696 1224080 1259390 1294700 1297725 1331000 1346488 1373880 1384240 1385329 1391000 1412400 1424170 1431125 1464100 1488370 1511268 1522664 1530100 1553640 1566587 1573000 1597200 1618375 1637207 1669200 1683110 1709004 1717350 1730300 1756920 1765500 1786044 1830125 1836120 1851421 1887600 1889085 1903330 1912625 1942050 1996500 2015024 2019732 2076360 2086500 2136255 2162875 2196150 2232555 2278672 2283996 2289800 2295150 2354000 2359500 2381392 2518780 2524665 2589400 2595450 2662000 2692976 2747760 2770658 2782000 2848340 2854995 2862250 2928200 2976740 3022536 3045328 3060200 3107280 3133174 3146000 3148475 3236750 3274414 3366220 3418008 3434700 3460600 3513840 3531000 3560425 3572088 3660250 3672240 3702842 3720925 3778170 3806660 3825250 3884100 3993000 4039464 4152720 4155987 4173000 4207775 4272510 4293375 4325750 4392300 4465110 4567992 4579600 4590300 4699761 4719000 4758325 4855125 4911621 5037560 5049330 5178800 5190900 5490375 5541316 5554263 5696680 5709990 5724500 5737875 5856400 5953480 6045072 6120400 6266348 6296950 6473500 6488625 6548828 6732440 6836016 6869400 6921200 6926645 7062000 7120850 7144176 7320500 7405684 7441850 7556340 7613320 7650500 7768200 7832935 7986000 8078928 8186035 8311974 8346000 8415550 8545020 8586750 8651500 8784600 8930220 9135984 9180600 9257105 9399522 9438000 9445425 9516650 9710250 9823242 10075120 10098660 10381800 10681275 10980750 11082632 11108526 11162775 11393360 11419980 11449000 11475750 11906960 12532696 12593900 12623325 12947000 12977250 13097656 13464880 13738800 13853290 14241700 14274975 14641000 14811368 14883700 15112680 15226640 15238619 15301000 15536400 15665870 15742375 16372070 16623948 16831100 17090040 17173500 17303000 17569200 17802125 17860440 18009277 18361200 18514210 18604625 18799044 18890850 19033300 19420500 19646484 20197320 20365631 20763600 20779935 21038875 21362550 21961500 22165264 22217052 22325550 22839960 22898000 22951500 23498805 23791625 24558105 25065392 25187800 25246650 25894000 25954500 26195312 27706580 27771315 28483400 28549950 29282000 29622736 29767400 30225360 30477238 30602000 31331740 31484750 32744140 33247896 33662200 34180080 34347000 34606000 34633225 35604250 35720880 36018554 37028420 37209250 37598088 37781700 38066600 38841000 39164675 39292968 40394640 40731262 40930175 41559870 42077750 42725100 43923000 44434104 44651100 45679920 45715857 45903000 46285525 46997610 47227125 47583250 49116210 50375600 50493300 51909000 53406375 54027831 55413160 55542630 55813875 56966800 57099900 59534800 60954476 61096893 62663480 62969500 63116625 65488280 66495792 67324400 68694000 69266450 71208500 71374875 72037108 74056840 74418500 75196176 75563400 76133200 76193095 77682000 78329350 78585936 81462524 81860350 83119740 84155500 85450200 87846000 88868208 89302200 90046385 91431714 91806000 92571050 93995220 94454250 95166500 98232420 100986600 101828155 103818000 103899675 106812750 108055662 110826320 111085260 111627750 114199800 117494025 121908952 122193786 122790525 125326960 125939000 126233250 130976560 138532900 138856575 142417000 142749750 144074216 148113680 148837000 151126800 152386190 156658700 162925048 163720700 166239480 167624809 168311000 170900400 173166125 178604400 180092770 182863428 185142100 187990440 188908500 190333000 195823375 196464840 198102047 201973200 203656310 204650875 207799350 213625500 216111324 222170520 223255500 228399600 228579285 231427625 234988050 243817904 244387572 245581050 251878000 252466500 270139155 277065800 277713150 284834000 285499500 288148432 297674000 304772380 305484465 313317400 325850096 327441400 332478960 335249618 336622000 346332250 360185540 365726856 370284200 375980880 377817000 380666000 380965475 391646750 392929680 396204094 407312620 409301750 415598700 427251000 432222648 444341040 446511000 450231925 457158570 462855250 469976100 488775144 491162100 502874427 504933000 509140775 519498375 540278310 554131600 555426300 570999000 587470125 594306141 609544760 610968930 613952625 626634800 654882800 670499236 692664500 694282875 720371080 731453712 740568400 755634000 761930950 783293500 792408188 814625240 818603500 831197400 838124045 854502000 864445296 893022000 900463850 914317140 925710500 939952200 977550288 982324200 990510235 1005748854 1009866000 1018281550 1038996750 1080556620 1110852600 1141998000 1142896425 1174940250 1188612282 1219089520 1221937860 1227905250 1340998472 1350695775 1385329000 1388565750 1440742160 1523861900 1527422325 1566587000 1584816376 1629250480 1637207000 1662394800 1676248090 1800927700 1828634280 1851421000 1879904400 1904827375 1964648400 1981020470 2011497708 2036563100 2077993500 2161113240 2179122517 2221705200 2251159625 2285792850 2349880500 2377224564 2443875720 2455810500 2514372135 2545703875 2681996944 2701391550 2770658000 2777131500 2971530705 3047723800 3054844650 3133174000 3169632752 3274414000 3352496180 3601855400 3657268560 3702842000 3809654750 3962040940 4022995416 4073126200 4155987000 4190620225 4322226480 4358245034 4502319250 4571585700 4699761000 4754449128 4887751440 4911621000 4952551175 5028744270 5091407750 5402783100 5554263000 5714482125 5943061410 6095447600 6109689300 6537367551 6704992360 6753478875 7203710800 7619309500 7637111625 7924081880 8045990832 8146252400 8311974000 8381240450 8716490068 9004638500 9143171400 9399522000 9508898256 9823242000 9905102350 10057488540 10182815500 10805566200 10895612585 11108526000 11428964250 11886122820 12219378600 12571860675 13074735102 13409984720 13506957750 14857653525 15238619000 15274223250 15848163760 16762480900 17432980136 18009277000 18286342800 19810204700 20114977080 20365631000 20953101125 21611132400 21791225170 22857928500 23772245640 24438757200 24762755875 25143721350 26149470204 27013915500 29715307050 30477238000 30548446500 32686837755 33524961800 34865960272 36018554000 39620409400 40229954160 40731262000 41906202250 43582450340 45715857000 47544491280 49525511750 50287442700 52298940408 54027831000 54478062925 59430614100 61096893000 62859303375 65373675510 67049923600 74288267625 79240818800 83812404500 87164900680 91431714000 99051023500 100574885400 104597880816 108055662000 108956125850 118861228200 122193786000 125718606750 130747351020 148576535250 163434188775 167624809000 174329801360 198102047000 201149770800 217912251700 237722456400 251437213500 261494702040 272390314625 297153070500 326868377550 335249618000 396204094000 435824503400 502874427000 522989404080 544780629250 594306141000 653736755100 817170943875 871649006800 1005748854000 1089561258500 1188612282000 1307473510200 1634341887750 2179122517000 2614947020400 3268683775500 4358245034000 6537367551000 13074735102000
- Sum of all divisors σ(n): 50405759345760
- Sum of proper divisors (its aliquot sum) s(n): 37331024243760
- 13074735102000 is an abundant number, because the sum of its proper divisors (37331024243760) is greater than itself. Its abundance is 24256289141760
Bases of 13074735102000
- Binary: 101111100100001100101111000011111000001100002
- Hexadecimal: 0xBE432F0F830
- Base-36: 4MUG7P7AO
Squares and roots of 13074735102000
- 13074735102000 squared (130747351020002) is 170948697987470950404000000
- 13074735102000 cubed (130747351020003) is 2235108942217983191452479881208000000000
-
The
square root of 13074735102000 is 3615900.3169335295 -
The
cube root of 13074735102000 is 23558.3190735411
Scales and comparisons
How big is 13074735102000?- 13,074,735,102,000 seconds is equal to 415,736 years, 6 weeks, 6 days, 13 hours, 40 minutes.
-
To count from 1 to 13,074,735,102,000 would take you about one million, thirty-nine thousand, three hundred forty 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 13074735102000 cubic inches would be around 1963.2 feet tall.
Recreational maths with 13074735102000
- 13074735102000 backwards is 00020153747031
- 13074735102000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13074735102000's digits is 33
- More coming soon!
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The information we have on file for 13074735102000 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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