1331371081728
1,331,371,081,728 is an even composite number composed of five prime numbers multiplied together.
1331371081728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1331371081728:
215 × 33 × 172 × 41 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 17 × 41 × 127)See below for interesting mathematical facts about the number 1331371081728 from the Numbermatics database.
Names of 1331371081728
- Cardinal: 1331371081728 can be written as One trillion, three hundred thirty-one billion, three hundred seventy-one million, eighty-one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.331371081728 × 1012
Factors of 1331371081728
Divisors of 1331371081728
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 41 48 51 54 64 68 72 82 96 102 108 123 127 128 136 144 153 164 192 204 216 246 254 256 272 288 289 306 328 369 381 384 408 432 459 492 508 512 544 576 578 612 656 697 738 762 768 816 864 867 918 984 1016 1024 1088 1107 1143 1152 1156 1224 1312 1394 1476 1524 1536 1632 1728 1734 1836 1968 2032 2048 2091 2159 2176 2214 2286 2304 2312 2448 2601 2624 2788 2952 3048 3072 3264 3429 3456 3468 3672 3936 4064 4096 4182 4318 4352 4428 4572 4608 4624 4896 5202 5207 5248 5576 5904 6096 6144 6273 6477 6528 6858 6912 6936 7344 7803 7872 8128 8192 8364 8636 8704 8856 9144 9216 9248 9792 10404 10414 10496 11152 11808 11849 12192 12288 12546 12954 13056 13716 13824 13872 14688 15606 15621 15744 16256 16384 16728 17272 17408 17712 18288 18432 18496 18819 19431 19584 20808 20828 20992 22304 23616 23698 24384 24576 25092 25908 26112 27432 27648 27744 29376 31212 31242 31488 32512 32768 33456 34544 34816 35424 35547 36576 36703 36864 36992 37638 38862 39168 41616 41656 41984 44608 46863 47232 47396 48768 49152 50184 51816 52224 54864 55296 55488 58293 58752 62424 62484 62976 65024 66912 69088 69632 70848 71094 73152 73406 73728 73984 75276 77724 78336 83232 83312 83968 88519 89216 93726 94464 94792 97536 98304 100368 103632 104448 106641 109728 110109 110592 110976 116586 117504 124848 124968 125952 130048 133824 138176 139264 140589 141696 142188 146304 146812 147456 147968 150552 155448 156672 166464 166624 167936 177038 178432 187452 188928 189584 195072 200736 207264 208896 213282 219456 220218 221184 221952 233172 235008 249696 249936 251904 260096 265557 267648 276352 278528 281178 283392 284376 292608 293624 294912 295936 301104 310896 313344 319923 330327 332928 333248 335872 354076 356864 374904 377856 379168 390144 401472 414528 417792 426564 438912 440436 442368 443904 466344 470016 499392 499872 503808 520192 531114 535296 552704 557056 562356 566784 568752 585216 587248 591872 602208 621792 626688 639846 660654 665856 666496 671744 708152 713728 749808 755712 758336 780288 796671 802944 829056 835584 853128 877824 880872 884736 887808 932688 940032 990981 998784 999744 1007616 1040384 1062228 1070592 1105408 1124712 1133568 1137504 1170432 1174496 1183744 1204416 1243584 1253376 1279692 1321308 1331712 1332992 1343488 1416304 1427456 1499616 1504823 1511424 1516672 1560576 1593342 1605888 1658112 1671168 1706256 1755648 1761744 1775616 1865376 1880064 1981962 1997568 1999488 2015232 2080768 2124456 2141184 2210816 2249424 2267136 2275008 2340864 2348992 2367488 2390013 2408832 2487168 2506752 2559384 2642616 2663424 2665984 2832608 2854912 2999232 3009646 3022848 3033344 3121152 3186684 3211776 3316224 3412512 3511296 3523488 3551232 3730752 3760128 3963924 3995136 3998976 4030464 4161536 4248912 4282368 4421632 4498848 4514469 4534272 4550016 4681728 4697984 4734976 4780026 4817664 4974336 5013504 5118768 5285232 5326848 5331968 5665216 5709824 5998464 6019292 6045696 6066688 6242304 6373368 6423552 6632448 6825024 7022592 7046976 7102464 7461504 7520256 7927848 7990272 7997952 8497824 8564736 8843264 8997696 9028938 9068544 9100032 9363456 9395968 9469952 9560052 9635328 9948672 10237536 10570464 10653696 10663936 11330432 11419648 11996928 12038584 12091392 12133376 12484608 12746736 12847104 13264896 13543407 13650048 14045184 14093952 14204928 14923008 15040512 15855696 15980544 15995904 16995648 17129472 17686528 17995392 18057876 18137088 18200064 18726912 18791936 19120104 19270656 19897344 20475072 21140928 21307392 21327872 22660864 22839296 23993856 24077168 24266752 25493472 25694208 26529792 27086814 27300096 28090368 28187904 28409856 29846016 31711392 31961088 31991808 33991296 34258944 35373056 35990784 36115752 36274176 36400128 37453824 37583872 38240208 38541312 39794688 40630221 40950144 42281856 42614784 42655744 45321728 47987712 48154336 48533504 50986944 51388416 53059584 54173628 54600192 56180736 56375808 59692032 63422784 63922176 63983616 67982592 68517888 70746112 71981568 72231504 72800256 75167744 76480416 77082624 79589376 81260442 81900288 84563712 85229568 85311488 90643456 95975424 96308672 97067008 101973888 102776832 106119168 108347256 109200384 112361472 112751616 119384064 126845568 127844352 127967232 135965184 143963136 144463008 145600512 150335488 152960832 154165248 159178752 162520884 163800576 169127424 170622976 181286912 191950848 192617344 194134016 203947776 205553664 212238336 216694512 218400768 225503232 238768128 253691136 255688704 255934464 271930368 287926272 288926016 291201024 300670976 305921664 308330496 318357504 325041768 327601152 338254848 362573824 383901696 385234688 388268032 407895552 433389024 436801536 451006464 477536256 507382272 511868928 543860736 575852544 577852032 582402048 601341952 611843328 616660992 636715008 650083536 655202304 676509696 725147648 767803392 770469376 815791104 866778048 873603072 902012928 955072512 1014764544 1087721472 1151705088 1155704064 1164804096 1202683904 1223686656 1300167072 1310404608 1353019392 1450295296 1535606784 1540938752 1631582208 1733556096 1747206144 1804025856 1910145024 2029529088 2175442944 2303410176 2311408128 2447373312 2600334144 2620809216 2706038784 2900590592 3081877504 3263164416 3467112192 3494412288 3608051712 4059058176 4350885888 4606820352 4622816256 4894746624 5200668288 5241618432 5412077568 6163755008 6526328832 6934224384 8118116352 8701771776 9245632512 9789493248 10401336576 10483236864 10824155136 12327510016 13052657664 13868448768 16236232704 18491265024 19578986496 20802673152 24655020032 26105315328 27736897536 32472465408 36982530048 39157972992 41605346304 49310040064 55473795072 73965060096 78315945984 83210692608 110947590144 147930120192 166421385216 221895180288 332842770432 443790360576 665685540864 1331371081728
- Sum of all divisors σ(n): 4326442444800
- Sum of proper divisors (its aliquot sum) s(n): 2995071363072
- 1331371081728 is an abundant number, because the sum of its proper divisors (2995071363072) is greater than itself. Its abundance is 1663700281344
Bases of 1331371081728
- Binary: 100110101111110111110011010000000000000002
- Hexadecimal: 0x135FBE68000
- Base-36: GZMFYTC0
Squares and roots of 1331371081728
- 1331371081728 squared (13313710817282) is 1772548957261584855465984
- 1331371081728 cubed (13313710817283) is 2359920422645194669681409651587940352
-
The
square root of 1331371081728 is 1153850.5456635187 -
The
cube root of 1331371081728 is 11001.0221687261
Scales and comparisons
How big is 1331371081728?- 1,331,371,081,728 seconds is equal to 42,333 years, 25 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,331,371,081,728 would take you about one hundred five thousand, eight hundred thirty-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 1331371081728 cubic inches would be around 916.8 feet tall.
Recreational maths with 1331371081728
- 1331371081728 backwards is 8271801731331
- The number of decimal digits it has is: 13
- The sum of 1331371081728's digits is 45
- More coming soon!
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