13417987968000
13,417,987,968,000 is an even composite number composed of seven prime numbers multiplied together.
13417987968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13417987968000:
210 × 32 × 53 × 7 × 11 × 331 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 331 × 457)See below for interesting mathematical facts about the number 13417987968000 from the Numbermatics database.
Names of 13417987968000
- Cardinal: 13417987968000 can be written as Thirteen trillion, four hundred seventeen billion, nine hundred eighty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3417987968 × 1013
Factors of 13417987968000
Divisors of 13417987968000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 110 112 120 125 126 128 132 140 144 150 154 160 165 168 175 176 180 192 198 200 210 220 224 225 231 240 250 252 256 264 275 280 288 300 308 315 320 330 331 336 350 352 360 375 384 385 396 400 420 440 448 450 457 462 480 495 500 504 512 525 528 550 560 576 600 616 630 640 660 662 672 693 700 704 720 750 768 770 792 800 825 840 875 880 896 900 914 924 960 990 993 1000 1008 1024 1050 1056 1100 1120 1125 1152 1155 1200 1232 1260 1280 1320 1324 1344 1371 1375 1386 1400 1408 1440 1500 1536 1540 1575 1584 1600 1650 1655 1680 1750 1760 1792 1800 1828 1848 1920 1925 1980 1986 2000 2016 2100 2112 2200 2240 2250 2285 2304 2310 2317 2400 2464 2475 2520 2560 2625 2640 2648 2688 2742 2750 2772 2800 2816 2880 2979 3000 3072 3080 3150 3168 3199 3200 3300 3310 3360 3465 3500 3520 3584 3600 3641 3656 3696 3840 3850 3960 3972 4000 4032 4113 4125 4200 4224 4400 4480 4500 4570 4608 4620 4634 4800 4928 4950 4965 5027 5040 5120 5250 5280 5296 5376 5484 5500 5544 5600 5632 5760 5775 5958 6000 6160 6300 6336 6398 6400 6600 6620 6720 6855 6930 6951 7000 7040 7168 7200 7282 7312 7392 7680 7700 7875 7920 7944 8000 8064 8226 8250 8275 8400 8448 8800 8960 9000 9140 9216 9240 9268 9597 9600 9625 9856 9900 9930 10054 10080 10500 10560 10592 10752 10923 10968 11000 11088 11200 11264 11425 11520 11550 11585 11916 12000 12320 12375 12600 12672 12796 12800 13200 13240 13440 13710 13860 13902 14000 14080 14400 14564 14624 14784 14895 15081 15360 15400 15750 15840 15888 15995 16000 16128 16452 16500 16550 16800 16896 17325 17600 17920 18000 18205 18280 18480 18536 19194 19200 19250 19712 19800 19860 20108 20160 20565 20853 21000 21120 21184 21504 21846 21936 22000 22176 22400 22850 23040 23100 23170 23832 24000 24640 24750 24825 25135 25200 25344 25487 25592 25600 26400 26480 26880 27420 27720 27804 28000 28160 28791 28800 28875 29128 29248 29568 29790 30162 30800 31500 31680 31776 31990 32000 32256 32769 32904 33000 33100 33600 33792 34275 34650 34755 35189 35200 35840 36000 36410 36560 36960 37072 38388 38400 38500 39424 39600 39720 40216 40320 41130 41375 41706 42000 42240 42368 43692 43872 44000 44352 44800 45243 45700 46080 46200 46340 47664 47985 48000 49280 49500 49650 50270 50400 50688 50974 51184 52800 52960 53760 54615 54840 55440 55608 56000 56320 57125 57582 57600 57750 57925 58256 58496 59136 59580 60324 61600 63000 63360 63552 63980 64000 64512 65538 65808 66000 66200 67200 68550 69300 69510 70378 70400 72000 72820 73120 73920 74144 74475 75405 76461 76776 76800 77000 78848 79200 79440 79975 80432 80640 82260 82750 83412 84000 84480 84736 86625 87384 87744 88000 88704 89600 90486 91025 91400 92400 92680 95328 95970 96000 98560 99000 99300 100540 100800 101376 101948 102368 102825 104265 105567 105600 105920 107520 109230 109680 110880 111216 112000 114250 115164 115200 115500 115850 116512 116992 118272 119160 120648 123200 124125 125675 126000 126720 127104 127435 127960 128000 131076 131616 132000 132400 134400 137100 138600 139020 140756 140800 143955 144000 145640 146240 147840 148288 148950 150810 151267 152922 153552 154000 158400 158880 159950 160864 161280 163845 164520 165500 166824 168000 168960 169472 171375 173250 173775 174768 175488 175945 176000 177408 179200 180972 182050 182800 184800 185360 190656 191940 192000 197120 198000 198600 201080 201600 203896 204736 205650 208530 211134 211200 211840 218460 219360 221760 222432 224000 226215 228500 229383 230328 230400 231000 231700 233024 233984 236544 238320 239925 241296 246400 248250 251350 252000 253440 254208 254870 255920 262152 263232 264000 264800 268800 273075 274200 277200 278040 281512 281600 287910 288000 289625 291280 292480 295680 296576 297900 301620 302534 305844 307104 308000 316701 316800 317760 319900 321728 322560 327690 329040 331000 333648 336000 338944 342750 346500 347550 349536 350976 351890 352000 354816 361944 364100 365600 369600 370720 372375 377025 381312 382305 383880 384000 394240 396000 397200 399875 402160 403200 407792 409472 411300 417060 422268 422400 423680 436920 438720 443520 444864 448000 452430 453801 455125 457000 458766 460656 462000 463400 466048 467968 476640 479850 482592 492800 496500 502700 504000 506880 508416 509740 511840 514125 521325 524304 526464 527835 528000 529600 537600 546150 548400 554400 556080 563024 575820 576000 579250 582560 584960 591360 593152 595800 603240 605068 611688 614208 616000 628375 633402 633600 635520 637175 639800 643456 655380 658080 662000 667296 672000 685500 693000 695100 699072 701952 703780 704000 709632 719775 723888 728200 731200 739200 741440 744750 754050 756335 762624 764610 767760 792000 794400 799750 804320 806400 815584 818944 819225 822600 834120 844536 844800 847360 868875 873840 877440 879725 887040 889728 896000 904860 907602 910250 914000 917532 921312 924000 926800 932096 953280 959700 965184 985600 993000 1005400 1008000 1016832 1019480 1023680 1028250 1042650 1048608 1052928 1055670 1056000 1058869 1059200 1092300 1096800 1108800 1112160 1126048 1131075 1146915 1151640 1152000 1158500 1165120 1169920 1182720 1186304 1191600 1199625 1206480 1210136 1223376 1228416 1232000 1256750 1266804 1267200 1271040 1274350 1279600 1286912 1310760 1316160 1324000 1334592 1344000 1361403 1365375 1371000 1386000 1390200 1398144 1403904 1407560 1408000 1439550 1447776 1456400 1462400 1478400 1482880 1489500 1508100 1512670 1525248 1529220 1535520 1583505 1584000 1588800 1599500 1608640 1612800 1631168 1637888 1638450 1645200 1663937 1668240 1689072 1694720 1737750 1747680 1754880 1759450 1774080 1779456 1809720 1815204 1820500 1828000 1835064 1842624 1848000 1853600 1864192 1885125 1906560 1911525 1919400 1930368 1971200 1986000 2010800 2016000 2038960 2047360 2056500 2085300 2097216 2105856 2111340 2112000 2117738 2118400 2184600 2193600 2217600 2224320 2252096 2262150 2269005 2293830 2303280 2317000 2330240 2339840 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5461500 5484000 5544000 5560800 5592576 5630240 5655375 5734575 5758200 5791104 5825600 5849600 5913600 5931520 5958000 6032400 6050680 6116880 6142080 6334020 6336000 6353214 6355200 6371750 6398000 6434560 6524672 6553800 6580800 6655748 6672960 6756288 6807015 6951000 6990720 7019520 7037800 7117824 7197750 7238880 7260816 7282000 7312000 7340256 7370496 7392000 7414400 7540500 7563350 7626240 7646100 7677600 7721472 7917525 7944000 8043200 8064000 8155840 8189440 8192250 8226000 8319685 8341200 8388864 8445360 8470952 8473600 8738400 8774400 8797250 8870400 8897280 9008384 9048600 9076020 9175320 9213120 9268000 9320960 9529821 9532800 9557625 9597000 9651840 9681088 9787008 9827328 9856000 9983622 10054000 10134432 10194800 10236800 10426500 10486080 10529280 10556700 10588690 10592000 10676736 10891224 10923000 10968000 11088000 11121600 11185152 11260480 11310750 11345025 11469150 11516400 11582208 11647559 11651200 11699200 11863040 11916000 12064800 12101360 12233760 12284160 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873566925 889728000 900838400 907602000 917532000 921312000 931804720 952982100 958427712 965184000 968108800 978700800 998362200 1013443200 1016514240 1048280310 1048608000 1058869000 1064919680 1084281856 1089122400 1118165664 1126048000 1158220800 1161730560 1164755900 1174440960 1191227625 1198034640 1210136000 1219817088 1223376000 1228416000 1247952750 1266804000 1270642800 1277903616 1331149600 1334592000 1351257600 1355352320 1361403000 1394076672 1397707080 1398144000 1447776000 1452163200 1455944875 1468051200 1490887552 1497543300 1524771360 1588303500 1597379520 1621509120 1626422784 1631168000 1663937000 1677248496 1689072000 1694190400 1703871488 1742595840 1747133850 1815204000 1835064000 1842624000 1863609440 1871929125 1905964200 1916855424 1930368000 1936217600 1957401600 1996724400 2026886400 2033028480 2096560620 2097216000 2117738000 2129839360 2178244800 2236331328 2252096000 2323461120 2329511800 2382455250 2396069280 2420272000 2439634176 2446752000 2495905500 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50825712000 52414015500 53245984000 53671951872 55908283200 58086528000 59635502080 59901732000 60990854400 63895180800 67089939840 67767616000 69885354000 74544377600 76238568000 76674216960 79868976000 81321139200 83862424800 87129792000 89453253120 93180472000 95842771200 101651424000 104828031000 106491968000 107343903744 111816566400 119803464000 121981708800 127790361600 134179879680 135535232000 139770708000 149088755200 152477136000 159737952000 167724849600 174259584000 178906506240 186360944000 191685542400 203302848000 209656062000 212983936000 223633132800 239606928000 243963417600 268359759360 279541416000 298177510400 304954272000 319475904000 335449699200 372721888000 383371084800 406605696000 419312124000 447266265600 479213856000 536719518720 559082832000 609908544000 638951808000 670899398400 745443776000 838624248000 894532531200 958427712000 1118165664000 1219817088000 1341798796800 1490887552000 1677248496000 1916855424000 2236331328000 2683597593600 3354496992000 4472662656000 6708993984000 13417987968000
- Sum of all divisors σ(n): 60598320546816
- Sum of proper divisors (its aliquot sum) s(n): 47180332578816
- 13417987968000 is an abundant number, because the sum of its proper divisors (47180332578816) is greater than itself. Its abundance is 33762344610816
Bases of 13417987968000
- Binary: 110000110100000111100110100000001100000000002
- Hexadecimal: 0xC341E680C00
- Base-36: 4R84ZLDS0
Squares and roots of 13417987968000
- 13417987968000 squared (134179879680002) is 180042401109392769024000000
- 13417987968000 cubed (134179879680003) is 2415806771815662026550235103232000000000
-
The
square root of 13417987968000 is 3663057.1887427583 -
The
cube root of 13417987968000 is 23762.7007779167
Scales and comparisons
How big is 13417987968000?- 13,417,987,968,000 seconds is equal to 426,650 years, 26 weeks, 4 days, 16 hours.
-
To count from 1 to 13,417,987,968,000 would take you about one million, sixty-six thousand, six hundred twenty-six 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 13417987968000 cubic inches would be around 1980.2 feet tall.
Recreational maths with 13417987968000
- 13417987968000 backwards is 00086978971431
- 13417987968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13417987968000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 13417987968000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13417987968000/
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The information we have on file for 13417987968000 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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