1338713671680
1,338,713,671,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1338713671680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
1338713671680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 1338713671680:
211 × 36 × 5 × 7 × 11 × 17 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 17 × 137)See below for interesting mathematical facts about the number 1338713671680 from the Numbermatics database.
Names of 1338713671680
- Cardinal: 1338713671680 can be written as One trillion, three hundred thirty-eight billion, seven hundred thirteen million, six hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.33871367168 × 1012
Factors of 1338713671680
Divisors of 1338713671680
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 27 28 30 32 33 34 35 36 40 42 44 45 48 51 54 55 56 60 63 64 66 68 70 72 77 80 81 84 85 88 90 96 99 102 105 108 110 112 119 120 126 128 132 135 136 137 140 144 153 154 160 162 165 168 170 176 180 187 189 192 198 204 210 216 220 224 231 238 240 243 252 255 256 264 270 272 274 280 288 297 306 308 315 320 324 330 336 340 352 357 360 374 378 384 385 396 405 408 411 420 432 440 448 459 462 476 480 486 495 504 510 512 528 540 544 548 560 561 567 576 594 595 612 616 630 640 648 660 672 680 685 693 704 714 720 729 748 756 765 768 770 792 810 816 822 840 864 880 891 896 918 924 935 945 952 959 960 972 990 1008 1020 1024 1056 1071 1080 1088 1096 1120 1122 1134 1152 1155 1188 1190 1215 1224 1232 1233 1260 1280 1296 1309 1320 1344 1360 1370 1377 1386 1408 1428 1440 1458 1485 1496 1507 1512 1530 1536 1540 1584 1620 1632 1644 1680 1683 1701 1728 1760 1782 1785 1792 1836 1848 1870 1890 1904 1918 1920 1944 1980 2016 2040 2048 2055 2079 2112 2142 2160 2176 2192 2240 2244 2268 2295 2304 2310 2329 2376 2380 2430 2448 2464 2466 2520 2560 2592 2618 2640 2673 2688 2720 2740 2754 2772 2805 2816 2835 2856 2877 2880 2916 2970 2992 3014 3024 3060 3072 3080 3168 3213 3240 3264 3288 3360 3366 3402 3456 3465 3520 3564 3570 3584 3645 3672 3696 3699 3740 3780 3808 3836 3840 3888 3927 3960 4032 4080 4110 4131 4158 4224 4284 4320 4352 4384 4455 4480 4488 4521 4536 4590 4608 4620 4658 4752 4760 4795 4860 4896 4928 4932 5040 5049 5103 5120 5184 5236 5280 5346 5355 5376 5440 5480 5508 5544 5610 5632 5670 5712 5754 5760 5832 5940 5984 6028 6048 6120 6144 6160 6165 6237 6336 6426 6480 6528 6545 6576 6720 6732 6804 6885 6912 6930 6987 7040 7128 7140 7168 7290 7344 7392 7398 7480 7535 7560 7616 7672 7680 7776 7854 7920 8019 8064 8160 8220 8262 8316 8415 8448 8505 8568 8631 8640 8704 8768 8910 8960 8976 9042 9072 9180 9216 9240 9316 9504 9520 9590 9639 9720 9792 9856 9864 10080 10098 10206 10240 10368 10395 10472 10549 10560 10692 10710 10752 10880 10960 11016 11088 11097 11220 11264 11340 11424 11508 11520 11645 11664 11781 11880 11968 12056 12096 12240 12320 12330 12393 12474 12672 12852 12960 13056 13090 13152 13365 13440 13464 13563 13608 13770 13824 13860 13974 14080 14256 14280 14336 14385 14580 14688 14784 14796 14960 15070 15120 15147 15232 15344 15360 15552 15708 15840 16038 16065 16128 16303 16320 16440 16524 16632 16830 16896 17010 17136 17262 17280 17408 17536 17820 17920 17952 18084 18144 18360 18432 18480 18495 18632 18711 19008 19040 19180 19278 19440 19584 19635 19712 19728 20160 20196 20412 20655 20736 20790 20944 20961 21098 21120 21384 21420 21504 21760 21920 22032 22176 22194 22440 22528 22605 22680 22848 23016 23040 23290 23328 23562 23760 23936 24112 24192 24480 24640 24660 24786 24948 25245 25344 25515 25619 25704 25893 25920 26112 26180 26304 26730 26880 26928 27126 27216 27540 27648 27720 27948 28160 28512 28560 28770 28917 29160 29376 29568 29592 29920 30140 30240 30294 30464 30688 30720 31104 31185 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160980480 162032640 162860544 164058048 166011120 166942720 169029504 170449920 172159680 174311676 174493440 175776480 177078528 177666048 178972416 180956160 181103040 182286720 183636992 186762510 187494912 187810560 190158192 191600640 193176576 193679640 194439168 196753920 198858240 199213344 203575680 204539904 205072560 206591616 208327680 211286880 214640640 217147392 217323648 217889595 218744064 221348160 222082560 223715520 225372672 229546240 232415568 232657920 234368640 236104704 237697740 238629888 241470720 243048960 244290816 246087072 249016680 249993216 250414080 253544256 255674880 258239520 261467514 262338560 265144320 265617792 271434240 271654560 273430080 275455488 279189504 281242368 281715840 287400960 289764864 290519460 291658752 295130880 296110080 298287360 298820016 300496896 305363520 307608840 309887424 312491520 316930320 321960960 324065280 325721088 328116096 332022240 338059008 340899840 344319360 348623352 348986880 351552960 354157056 357944832 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977163264 984348288 996066720 1014177024 1022699520 1032958080 1045870056 1062471168 1085736960 1086618240 1093720320 1101821952 1124969472 1126863360 1159059456 1162077840 1180523520 1193149440 1195280064 1221454080 1230435360 1239549696 1249966080 1267721280 1307337570 1312464384 1328088960 1352236032 1377277440 1394493408 1395947520 1406211840 1416628224 1431779328 1448824320 1458293760 1494100080 1502484480 1521265536 1549437120 1593706752 1628605440 1640580480 1652732928 1690295040 1738589184 1743116760 1749952512 1770785280 1789724160 1836369920 1859324544 1874949120 1901581920 1931765760 1954326528 1968696576 1992133440 2028354048 2065916160 2091740112 2124942336 2173236480 2187440640 2249938944 2253726720 2324155680 2361047040 2386298880 2390560128 2442908160 2460870720 2479099392 2535442560 2614675140 2624928768 2656177920 2704472064 2754554880 2788986816 2812423680 2897648640 2916587520 2988200160 3042531072 3098874240 3187413504 3257210880 3281160960 3305465856 3380590080 3477178368 3486233520 3541570560 3579448320 3718649088 3749898240 3803163840 3937393152 3984266880 4056708096 4131832320 4183480224 4249884672 4346472960 4374881280 4507453440 4648311360 4781120256 4885816320 4921741440 4958198784 5070885120 5229350280 5249857536 5312355840 5509109760 5577973632 5624847360 5795297280 5976400320 6085062144 6197748480 6374827008 6562321920 6761180160 6972467040 7083141120 7158896640 7437298176 7606327680 7874786304 7968533760 8113416192 8263664640 8366960448 8692945920 8749762560 9296622720 9562240512 9771632640 9843482880 9916397568 10141770240 10458700560 10624711680 11155947264 11249694720 11952800640 12170124288 12395496960 12749654016 13124643840 13522360320 13944934080 14874596352 15212655360 15749572608 15937067520 16527329280 16733920896 17385891840 18593245440 19124481024 19686965760 20283540480 20917401120 21249423360 22311894528 23905601280 24340248576 24790993920 26249287680 27889868160 29749192704 30425310720 31874135040 33467841792 37186490880 38248962048 39373931520 40567080960 41834802240 44623789056 47811202560 49581987840 55779736320 60850621440 63748270080 66935683584 74372981760 78747863040 83669604480 89247578112 95622405120 111559472640 121701242880 133871367168 148745963520 167339208960 191244810240 223118945280 267742734336 334678417920 446237890560 669356835840 1338713671680
- Sum of all divisors σ(n): 6403953104640
- Sum of proper divisors (its aliquot sum) s(n): 5065239432960
- 1338713671680 is an abundant number, because the sum of its proper divisors (5065239432960) is greater than itself. Its abundance is 3726525761280
Bases of 1338713671680
- Binary: 100110111101100011000110110001000000000002
- Hexadecimal: 0x137B18D8800
- Base-36: H2ZVK000
Squares and roots of 1338713671680
- 1338713671680 squared (13387136716802) is 1792154294742946834022400
- 1338713671680 cubed (13387136716803) is 2399181456132411277957158647365632000
-
The
square root of 1338713671680 is 1157027.9476659153 -
The
cube root of 1338713671680 is 11021.2088655993
Scales and comparisons
How big is 1338713671680?- 1,338,713,671,680 seconds is equal to 42,566 years, 49 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 1,338,713,671,680 would take you about one hundred six thousand, four 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 1338713671680 cubic inches would be around 918.4 feet tall.
Recreational maths with 1338713671680
- 1338713671680 backwards is 0861763178331
- 1338713671680 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1338713671680's digits is 54
- More coming soon!
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The information we have on file for 1338713671680 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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