1353559984128
1,353,559,984,128 is an even composite number composed of five prime numbers multiplied together.
1353559984128 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 1353559984128:
211 × 37 × 11 × 83 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 83 × 331)See below for interesting mathematical facts about the number 1353559984128 from the Numbermatics database.
Names of 1353559984128
- Cardinal: 1353559984128 can be written as One trillion, three hundred fifty-three billion, five hundred fifty-nine million, nine hundred eighty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.353559984128 × 1012
Factors of 1353559984128
Divisors of 1353559984128
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 83 88 96 99 108 128 132 144 162 166 176 192 198 216 243 249 256 264 288 297 324 331 332 352 384 396 432 486 498 512 528 576 594 648 662 664 704 729 747 768 792 864 891 913 972 993 996 1024 1056 1152 1188 1296 1324 1328 1408 1458 1494 1536 1584 1728 1782 1826 1944 1986 1992 2048 2112 2187 2241 2304 2376 2592 2648 2656 2673 2739 2816 2916 2979 2988 3072 3168 3456 3564 3641 3652 3888 3972 3984 4224 4374 4482 4608 4752 5184 5296 5312 5346 5478 5632 5832 5958 5976 6144 6336 6723 6912 7128 7282 7304 7776 7944 7968 8019 8217 8448 8748 8937 8964 9216 9504 10368 10592 10624 10692 10923 10956 11264 11664 11916 11952 12672 13446 13824 14256 14564 14608 15552 15888 15936 16038 16434 16896 17496 17874 17928 18432 19008 20169 20736 21184 21248 21384 21846 21912 22528 23328 23832 23904 24057 24651 25344 26811 26892 27473 27648 28512 29128 29216 31104 31776 31872 32076 32769 32868 33792 34992 35748 35856 38016 40338 41472 42368 42496 42768 43692 43824 46656 47664 47808 48114 49302 50688 53622 53784 54946 55296 57024 58256 58432 60507 62208 63552 63744 64152 65538 65736 67584 69984 71496 71712 73953 76032 80433 80676 82419 82944 84736 84992 85536 87384 87648 93312 95328 95616 96228 98307 98604 101376 107244 107568 109892 114048 116512 116864 121014 124416 127104 127488 128304 131076 131472 139968 142992 143424 147906 152064 160866 161352 164838 165888 169472 169984 171072 174768 175296 181521 186624 190656 191232 192456 196614 197208 202752 214488 215136 219784 221859 228096 233024 233728 241299 242028 247257 248832 254208 254976 256608 262152 262944 279936 285984 286848 294921 295812 302203 304128 321732 322704 329676 338944 342144 349536 350592 363042 373248 381312 382464 384912 393228 394416 428976 430272 439568 443718 456192 466048 467456 482598 484056 494514 497664 508416 509952 513216 524304 525888 559872 571968 573696 589842 591624 604406 608256 643464 645408 659352 665577 677888 684288 699072 701184 723897 726084 741771 746496 762624 764928 769824 786456 788832 857952 860544 879136 884763 887436 906609 912384 932096 934912 965196 968112 989028 1016832 1026432 1048608 1051776 1119744 1143936 1147392 1179684 1183248 1208812 1286928 1290816 1318704 1331154 1368576 1398144 1402368 1447794 1452168 1483542 1492992 1525248 1529856 1539648 1572912 1577664 1715904 1721088 1758272 1769526 1774872 1813218 1824768 1864192 1869824 1930392 1936224 1978056 1996731 2033664 2052864 2097216 2103552 2225313 2239488 2287872 2294784 2359368 2366496 2417624 2573856 2581632 2637408 2654289 2662308 2719827 2737152 2796288 2804736 2895588 2904336 2967084 3050496 3079296 3145824 3155328 3431808 3442176 3516544 3539052 3549744 3626436 3728384 3860784 3872448 3956112 3993462 4105728 4194432 4207104 4450626 4478976 4575744 4589568 4718736 4732992 4835248 5147712 5163264 5274816 5308578 5324616 5439654 5474304 5592576 5609472 5791176 5808672 5934168 6100992 6158592 6291648 6310656 6675939 6863616 6884352 7033088 7078104 7099488 7252872 7456768 7721568 7744896 7912224 7962867 7986924 8159481 8211456 8388864 8414208 8901252 9151488 9437472 9465984 9670496 10295424 10326528 10549632 10617156 10649232 10879308 11185152 11582352 11617344 11868336 12317184 12583296 12621312 13351878 13727232 13768704 14066176 14156208 14198976 14505744 15443136 15489792 15824448 15925734 15973848 16318962 16422912 16777728 16828416 17802504 18302976 18874944 18931968 19340992 20027817 20590848 20653056 21099264 21234312 21298464 21758616 22370304 23164704 23234688 23736672 24478443 24634368 25166592 25242624 26703756 27454464 28132352 28312416 28397952 29011488 30886272 30979584 31648896 31851468 31947696 32637924 33555456 35605008 37749888 37863936 38681984 40055634 41181696 41306112 42198528 42468624 42596928 43517232 46329408 46469376 47473344 48956886 49268736 50333184 50485248 53407512 54908928 56264704 56624832 56795904 58022976 60083451 61772544 61959168 63297792 63702936 63895392 65275848 67110912 71210016 73435329 75499776 75727872 77363968 80111268 82363392 84397056 84937248 85193856 87034464 92658816 92938752 94946688 97913772 100666368 106815024 113249664 113591808 116045952 120166902 123545088 123918336 126595584 127405872 127790784 130551696 142420032 146870658 150999552 151455744 154727936 160222536 164726784 168794112 169874496 170387712 174068928 185317632 185877504 189893376 195827544 201332736 213630048 220305987 226499328 227183616 232091904 240333804 247090176 253191168 254811744 255581568 261103392 284840064 293741316 301999104 309455872 320445072 339748992 340775424 348137856 370635264 371755008 379786752 391655088 427260096 440611974 452998656 454367232 464183808 480667608 494180352 506382336 509623488 511163136 522206784 569680128 587482632 603998208 618911744 640890144 660917961 679497984 681550848 696275712 741270528 759573504 783310176 854520192 881223948 905997312 928367616 961335216 1019246976 1022326272 1044413568 1139360256 1174965264 1281780288 1321835922 1358995968 1363101696 1392551424 1482541056 1519147008 1566620352 1709040384 1762447896 1811994624 1856735232 1922670432 2038493952 2044652544 2088827136 2278720512 2349930528 2563560576 2643671844 2717991936 2785102848 3133240704 3418080768 3524895792 3845340864 4076987904 4089305088 4177654272 4557441024 4699861056 5127121152 5287343688 5435983872 5570205696 6266481408 6836161536 7049791584 7690681728 8153975808 8355308544 9399722112 10254242304 10574687376 12532962816 13672323072 14099583168 15381363456 16307951616 16710617088 18799444224 20508484608 21149374752 25065925632 28199166336 30762726912 37598888448 41016969216 42298749504 50131851264 56398332672 61525453824 75197776896 84597499008 112796665344 123050907648 150395553792 169194998016 225593330688 338389996032 451186661376 676779992064 1353559984128
- Sum of all divisors σ(n): 4494965529600
- Sum of proper divisors (its aliquot sum) s(n): 3141405545472
- 1353559984128 is an abundant number, because the sum of its proper divisors (3141405545472) is greater than itself. Its abundance is 1787845561344
Bases of 1353559984128
- Binary: 100111011001001100111011001001000000000002
- Hexadecimal: 0x13B26764800
- Base-36: H9TEO000
Squares and roots of 1353559984128
- 1353559984128 squared (13535599841282) is 1832124630632591611920384
- 1353559984128 cubed (13535599841283) is 2479890585959568564830460902639665152
-
The
square root of 1353559984128 is 1163425.9684775821 -
The
cube root of 1353559984128 is 11061.8008531387
Scales and comparisons
How big is 1353559984128?- 1,353,559,984,128 seconds is equal to 43,039 years, 1 week, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,353,559,984,128 would take you about one hundred seven thousand, five hundred ninety-seven 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 1353559984128 cubic inches would be around 921.8 feet tall.
Recreational maths with 1353559984128
- 1353559984128 backwards is 8214899553531
- The number of decimal digits it has is: 13
- The sum of 1353559984128's digits is 63
- More coming soon!
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