13142380658400

Names of 13142380658400

• Cardinal: 13142380658400 can be written as Thirteen trillion, one hundred forty-two billion, three hundred eighty million, six hundred fifty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.31423806584 × 10¹³

Factors of 13142380658400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 101

Divisors of 13142380658400

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 67 68 70 72 75 80 84 85 90 96 100 102 105 108 112 119 120 126 134 135 136 140 144 150 153 160 168 170 175 180 189 200 201 204 210 216 224 225 238 240 252 255 268 270 272 280 288 289 300 306 315 335 336 340 350 357 360 378 400 402 408 420 425 432 450 459 469 476 480 504 510 525 536 540 544 560 578 595 600 603 612 630 670 672 675 680 700 714 720 756 765 800 804 816 840 850 864 867 900 918 938 945 952 1005 1008 1020 1050 1071 1072 1080 1120 1139 1156 1190 1200 1206 1224 1260 1275 1340 1350 1360 1400 1407 1428 1440 1445 1512 1530 1575 1608 1632 1675 1680 1700 1734 1785 1800 1809 1836 1876 1890 1904 2010 2016 2023 2040 2100 2142 2144 2160 2278 2295 2312 2345 2380 2400 2412 2448 2520 2550 2601 2680 2700 2720 2800 2814 2856 2890 2975 3015 3024 3060 3150 3213 3216 3350 3360 3400 3417 3468 3570 3600 3618 3672 3752 3780 3808 3825 4020 4046 4080 4200 4221 4284 4320 4335 4489 4556 4590 4624 4690 4725 4760 4824 4896 5025 5040 5100 5202 5355 5360 5400 5600 5628 5695 5712 5780 5950 6030 6048 6069 6120 6300 6426 6432 6700 6800 6834 6936 7035 7140 7200 7225 7236 7344 7504 7560 7650 7803 7973 8040 8092 8160 8400 8442 8568 8670 8925 8978 9045 9112 9180 9248 9380 9450 9520 9648 10050 10080 10115 10200 10251 10404 10710 10720 10800 11256 11390 11424 11475 11560 11725 11900 12060 12138 12240 12600 12663 12852 13005 13400 13467 13600 13668 13872 14070 14280 14450 14472 14688 15008 15075 15120 15300 15606 15946 16065 16080 16184 16800 16884 17085 17136 17340 17850 17956 18090 18207 18224 18360 18760 18900 19040 19296 19363 20100 20230 20400 20502 20808 21105 21420 21600 21675 22445 22512 22780 22950 23120 23450 23800 23919 24120 24276 24480 25200 25326 25704 26010 26775 26800 26934 27336 27744 28140 28475 28560 28900 28944 30150 30240 30345 30600 30753 31212 31423 31892 32130 32160 32368 33768 34170 34272 34680 35175 35700 35912 36180 36414 36448 36720 37520 37800 38726 39015 39865 40200 40401 40460 40800 41004 41616 42210 42840 43350 44890 45024 45225 45560 45900 46240 46900 47600 47838 48240 48552 50400 50575 50652 51255 51408 52020 53550 53600 53868 54621 54672 56280 56950 57120 57800 57888 58089 60300 60690 61200 61506 62424 62846 63315 63784 64260 64736 65025 67335 67536 68340 69360 70350 71400 71757 71824 72360 72828 73440 75040 75600 76313 77452 78030 79730 80325 80400 80802 80920 82008 83232 84420 85425 85680 86700 89780 90450 91035 91120 91800 93800 94269 95200 95676 96480 96815 97104 101150 101304 102510 102816 104040 105525 107100 107736 109242 109344 112225 112560 113900 115600 116178 119595 120600 121203 121380 122400 123012 124848 125692 126630 127568 128520 130050 134670 135072 135541 136680 138720 140700 142800 143514 143648 144720 145656 151200 151725 152626 153765 154904 156060 157115 159460 160650 160800 161604 161840 164016 168840 170850 171360 173400 174267 179560 180900 182070 182240 183600 187600 188538 191352 193630 194208 195075 199325 202005 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769235040 778392600 782284563 812060100 817312230 818075360 824180400 842136400 858979128 869205070 871799712 875691675 894769925 908124700 909507312 920334780 934071120 947403450 961543800 966351519 975895200 980774676 1010563680 1022594200 1037856800 1043046084 1073723910 1082746800 1089749640 1104401736 1120885344 1136884140 1145305504 1150418475 1153852560 1167588900 1216887098 1225968345 1227113040 1263204600 1282058400 1288468692 1299296160 1303807605 1307699568 1362187050 1380502170 1390728112 1401106680 1421105175 1431631880 1442315700 1452999520 1463842800 1472535648 1515845520 1533891300 1556785200 1564569126 1610585865 1624120200 1634624460 1648360800 1684272800 1717958256 1738410140 1751383350 1789539850 1816249400 1819014624 1825330647 1840669560 1868142240 1894806900 1923087600 1932703038 1961549352 2043280575 2045188400 2086092168 2147447820 2165493600 2173012675 2179499280 2208803472 2273768280 2300836950 2307705120 2335177800 2346853689 2433774196 2451936690 2454226080 2526409200 2576937384 2607615210 2615399136 2684309775 2724374100 2761004340 2781456224 2802213360 2842210350 2863263760 2884631400 2927685600 3031691040 3042217745 3067782600 3113570400 3129138252 3221171730 3248240400 3269248920 3435916512 3451255425 3476820280 3502766700 3579079700 3632498800 3650661294 3681339120 3789613800 3846175200 3865406076 3911422815 3923098704 4086561150 4090376800 4172184336 4294895640 4346025350 4358998560 4417606944 4547536560 4601673900 4670355600 4693707378 4831757595 4867548392 4903873380 5052818400 5153874768 5215230420 5368619550 5448748200 5475991941 5522008680 5604426720 5684420700 5726527520 5769262800 6084435490 6129841725 6135565200 6258276504 6442343460 6496480800 6519038025 6538497840 6902510850 6953640560 7005533400 7158159400 7264997600 7301322588 7362678240 7579227600 7730812152 7822845630 7846197408 8052929325 8173122300 8344368672 8589791280 8692050700 9095073120 9126653235 9203347800 9340711200 9387414756 9663515190 9735096784 9807746760 10307749536 10430460840 10737239100 10897496400 10951983882 11044017360 11368841400 11538525600 11734268445 12168870980 12259683450 12271130400 12516553008 12884686920 13038076050 13076995680 13805021700 13907281120 14011066800 14316318800 14602645176 15158455200 15211088725 15461624304 15645691260 16105858650 16346244600 16427975823 17179582560 17384101400 18253306470 18406695600 18774829512 19327030380 19470193568 19557114075 19615493520 20860921680 21474478200 21794992800 21903967764 22088034720 22737682800 23468536890 24158787975 24337741960 24519366900 25033106016 25769373840 26076152100 27379959705 27610043400 28022133600 28632637600 29205290352 30422177450 30923248608 31291382520 32211717300 32692489200 32855951646 34768202800 36506612940 36813391200 37549659024 38654060760 39114228150 39230987040 41721843360 42948956400 43807935528 45475365600 45633266175 46937073780 48317575950 48675483920 49038733800 51538747680 52152304200 54759919410 55220086800 58410580704 58671342225 60844354900 62582765040 64423434600 65384978400 65711903292 69536405600 73013225880 75099318048 77308121520 78228456300 82139879115 85897912800 87615871056 91266532350 93874147560 96635151900 97350967840 98077467600 104304608400 109519838820 110440173600 117342684450 121688709800 125165530080 128846869200 131423806584 136899798525 146026451760 154616243040 156456912600 164279758230 175231742112 182533064700 187748295120 193270303800 196154935200 208609216800 219039677640 234685368900 243377419600 257693738400 262847613168 273799597050 292052903520 312913825200 328559516460 365066129400 375496590240 386540607600 410699395575 438079355280 469370737800 486754839200 525695226336 547599194100 625827650400 657119032920 730132258800 773081215200 821398791150 876158710560 938741475600 1095198388200 1314238065840 1460264517600 1642797582300 1877482951200 2190396776400 2628476131680 3285595164600 4380793552800 6571190329200 13142380658400
• Sum of all divisors σ(n): 58579525670400
• Sum of proper divisors (its aliquot sum) s(n): 45437145012000
• 13142380658400 is an abundant number, because the sum of its proper divisors (45437145012000) is greater than itself. Its abundance is 32294764353600

Bases of 13142380658400

• Binary: 10111111001111110010111011100011111011100000₂
• Hexadecimal: 0xBF3F2EE3EE0
• Base-36: 4NPIY48O0

Squares and roots of 13142380658400

• 13142380658400 squared (13142380658400²) is 172722169370286417490560000
• 13142380658400 cubed (13142380658400³) is 2269980498008941120896163208584704000000
• The square root of 13142380658400 is 3625242.1516913873
• The cube root of 13142380658400 is 23598.8775790035

Scales and comparisons

• 13,142,380,658,400 seconds is equal to 417,887 years, 2 weeks, 5 days, 6 hours.
• To count from 1 to 13,142,380,658,400 would take you about one million, forty-four thousand, seven hundred seventeen 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 13142380658400 cubic inches would be around 1966.6 feet tall.

Recreational maths with 13142380658400

• 13142380658400 backwards is 00485608324131
• 13142380658400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13142380658400's digits is 45
• More coming soon!