1314107137728
1,314,107,137,728 is an even composite number composed of seven prime numbers multiplied together.
1314107137728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 1314107137728:
26 × 32 × 7 × 112 × 29 × 293 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 29 × 293 × 317)See below for interesting mathematical facts about the number 1314107137728 from the Numbermatics database.
Names of 1314107137728
- Cardinal: 1314107137728 can be written as One trillion, three hundred fourteen billion, one hundred seven million, one hundred thirty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.314107137728 × 1012
Factors of 1314107137728
Divisors of 1314107137728
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 32 33 36 42 44 48 56 58 63 64 66 72 77 84 87 88 96 99 112 116 121 126 132 144 154 168 174 176 192 198 203 224 231 232 242 252 261 264 288 293 308 317 319 336 348 352 363 396 406 448 462 464 484 504 522 528 576 586 609 616 634 638 672 693 696 704 726 792 812 847 879 924 928 951 957 968 1008 1044 1056 1089 1172 1218 1232 1268 1276 1344 1386 1392 1452 1584 1624 1694 1758 1827 1848 1856 1902 1914 1936 2016 2051 2088 2112 2178 2219 2233 2344 2436 2464 2536 2541 2552 2637 2772 2784 2853 2871 2904 3168 3223 3248 3388 3487 3509 3516 3654 3696 3804 3828 3872 4032 4102 4176 4356 4438 4466 4688 4872 4928 5072 5082 5104 5274 5544 5568 5706 5742 5808 6153 6336 6446 6496 6657 6699 6776 6974 7018 7032 7308 7392 7608 7623 7656 7744 8204 8352 8497 8712 8876 8932 9193 9376 9669 9744 10144 10164 10208 10461 10527 10548 11088 11412 11484 11616 12306 12892 12992 13314 13398 13552 13948 14036 14064 14616 14784 15216 15246 15312 16408 16704 16994 17424 17752 17864 18386 18459 18752 19338 19488 19971 20097 20288 20328 20416 20922 21054 21096 22176 22561 22824 22968 23232 24409 24563 24612 25491 25784 26628 26796 27104 27579 27896 28072 28128 29007 29232 30432 30492 30624 31383 31581 32816 33988 34848 35453 35504 35728 36772 36918 38357 38676 38976 39942 40194 40656 41844 42108 42192 44352 45122 45648 45936 48818 49126 49224 50982 51568 53256 53592 54208 55158 55792 56144 56256 58014 58464 59479 60864 60984 61248 62766 63162 64351 65632 67683 67976 69696 70906 71008 71456 73227 73544 73689 73836 76473 76714 77352 79884 80388 81312 82737 83688 84216 84384 90244 91296 91872 92881 93467 97636 98252 98448 101123 101964 103136 106359 106512 107184 110316 111584 112288 115071 116028 116928 118958 121968 125532 126324 128702 131264 135366 135952 141812 142016 142912 146454 147088 147378 147672 152946 153428 154704 159768 160776 162624 165474 167376 168432 168768 178437 180488 182592 183744 185762 186934 193053 195272 196504 196896 202246 203049 203928 206272 212718 213024 214368 219681 220632 221067 223168 224576 230142 232056 237916 243936 248171 251064 252648 257404 268499 270732 271904 278643 280401 283624 292908 294176 294756 295344 303369 305892 306856 309408 319077 319536 321552 330948 334752 336864 345213 356874 360976 371524 373868 386106 390544 393008 393792 404492 406098 407856 425436 426048 428736 439362 441264 442134 460284 464112 475832 487872 496342 502128 505296 514808 535311 536998 541464 543808 557286 560802 567248 579159 585816 588352 589512 590688 606738 611784 613712 618816 638154 639072 643104 650167 654269 661896 669504 673728 690426 707861 713748 721952 743048 744513 747736 772212 781088 786016 805497 808984 812196 815712 835929 841203 850872 878724 882528 884268 910107 920568 928224 951664 992684 1004256 1010592 1021691 1028137 1029616 1070622 1073996 1082928 1112353 1114572 1121604 1134496 1158318 1171632 1179024 1181376 1213476 1223568 1227424 1276308 1278144 1286208 1300334 1308538 1323792 1380852 1415722 1427496 1443904 1486096 1489026 1495472 1544424 1562176 1572032 1610994 1617968 1624392 1631424 1671858 1682406 1701744 1757448 1765056 1768536 1820214 1841136 1856448 1903328 1950501 1962807 1985368 2008512 2021184 2043382 2056274 2059232 2123583 2141244 2147992 2165856 2224706 2229144 2233539 2243208 2268992 2316636 2343264 2358048 2416491 2426952 2447136 2454848 2552616 2600668 2617076 2647584 2693549 2761704 2831444 2854992 2972192 2978052 2990944 3065073 3084411 3088848 3221988 3235936 3248784 3337059 3343716 3364812 3403488 3514896 3537072 3640428 3682272 3806656 3901002 3925614 3970736 4086764 4112548 4118464 4247166 4282488 4295984 4331712 4449412 4458288 4467078 4486416 4633272 4686528 4716096 4832982 4853904 4894272 5105232 5201336 5234152 5295168 5387098 5523408 5662888 5709984 5851503 5888421 5944384 5956104 5981888 6130146 6168822 6177696 6370749 6443976 6471872 6497568 6674118 6687432 6729624 6806976 7029792 7074144 7151837 7196959 7280856 7364544 7786471 7802004 7851228 7941472 8080647 8173528 8225096 8494332 8564976 8591968 8898824 8916576 8934156 8972832 9195219 9253233 9266544 9665964 9707808 10011177 10210464 10402672 10468304 10774196 11046816 11238601 11325776 11419968 11703006 11776842 11912208 12260292 12337644 12355392 12741498 12887952 12995136 13348236 13374864 13459248 14059584 14148288 14303674 14393918 14561712 15572942 15604008 15702456 15882944 16161294 16347056 16450192 16988664 17129952 17183936 17797648 17833152 17868312 17945664 18390438 18506466 18533088 18854843 19331928 19415616 20022354 20420928 20805344 20936608 21455511 21548392 21590877 22093632 22477202 22651552 23359413 23406012 23553684 23824416 24241941 24520584 24675288 25482996 25775904 26696472 26749728 26918496 28607348 28787836 29123424 29629039 31145884 31208016 31404912 32322588 32694112 32900384 33715803 33977328 34259904 35595296 35736624 36780876 37012932 37066176 37709686 38663856 40044708 41610688 41873216 42911022 43096784 43181754 44954404 45303104 46718826 46812024 47107368 47648832 48483882 49041168 49350576 50965992 51551808 53392944 53499456 53836992 56564529 57214696 57575672 58246848 59258078 62291768 62416032 62809824 64366533 64645176 64772631 65388224 65800768 67431606 67954656 70078239 71190592 71473248 73561752 74025864 75419372 77327712 78670207 80089416 85822044 86193568 86363508 88887117 89908808 93437652 93624048 94214736 96967764 98082336 98701152 101147409 101931984 106785888 113129058 114429392 115151344 118516156 124583536 124832064 125619648 128733066 129290352 129545262 134863212 135909312 140156478 142946496 147123504 148051728 150838744 154655424 157340414 160178832 169693587 171644088 172387136 172727016 177774234 179817616 186875304 187248096 188429472 193935528 196164672 197402304 202294818 203863968 207403273 213571776 226258116 228858784 230302688 236010621 237032312 249167072 257466132 258580704 259090524 266661351 269726424 280312956 294247008 296103456 301677488 314680828 320357664 325919429 339387174 343288176 345454032 355548468 359635232 373750608 374496192 376858944 387871056 404589636 407727936 414806546 452516232 457717568 460605376 472021242 474064624 498334144 514932264 517161408 518181048 533322702 539452848 560625912 588494016 592206912 603354976 622209819 629361656 640715328 651838858 678774348 686576352 690908064 708031863 711096936 719270464 747501216 775742112 809179272 829613092 905032464 944042484 948129248 977758287 1029864528 1036362096 1066645404 1078905696 1121251824 1206709952 1244419638 1258723312 1303677716 1357548696 1373152704 1381816128 1416063726 1422193872 1495002432 1551484224 1618358544 1659226184 1810064928 1866629457 1888084968 1896258496 1955516574 2059729056 2072724192 2133290808 2157811392 2242503648 2281436003 2488839276 2517446624 2607355432 2715097392 2832127452 2844387744 2933274861 3236717088 3318452368 3620129856 3733258914 3776169936 3911033148 4119458112 4145448384 4266581616 4485007296 4562872006 4977678552 5034893248 5214710864 5430194784 5664254904 5688775488 5866549722 6473434176 6636904736 6844308009 7466517828 7552339872 7822066296 8533163232 9125744012 9955357104 10429421728 10860389568 11328509808 11733099444 13273809472 13688616018 14933035656 15104679744 15644132592 17066326464 18251488024 19910714208 20532924027 20858843456 22657019616 23466198888 27377232036 29866071312 31288265184 36502976048 39821428416 41065848054 45314039232 46932397776 54754464072 59732142624 62576530368 73005952096 82131696108 93864795552 109508928144 119464285248 146011904192 164263392216 187729591104 219017856288 328526784432 438035712576 657053568864 1314107137728
- Sum of all divisors σ(n): 4927020920640
- Sum of proper divisors (its aliquot sum) s(n): 3612913782912
- 1314107137728 is an abundant number, because the sum of its proper divisors (3612913782912) is greater than itself. Its abundance is 2298806645184
Bases of 1314107137728
- Binary: 100110001111101101110001110011110110000002
- Hexadecimal: 0x131F6E39EC0
- Base-36: GROXGKW0
Squares and roots of 1314107137728
- 1314107137728 squared (13141071377282) is 1726877569427676761001984
- 1314107137728 cubed (13141071377283) is 2269302139967289907505099127569252352
-
The
square root of 1314107137728 is 1146345.1215615653 -
The
cube root of 1314107137728 is 10953.2649097507
Scales and comparisons
How big is 1314107137728?- 1,314,107,137,728 seconds is equal to 41,784 years, 28 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,314,107,137,728 would take you about one hundred four thousand, four hundred sixty-one 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 1314107137728 cubic inches would be around 912.8 feet tall.
Recreational maths with 1314107137728
- 1314107137728 backwards is 8277317014131
- The number of decimal digits it has is: 13
- The sum of 1314107137728's digits is 45
- More coming soon!
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The information we have on file for 1314107137728 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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