138359990697984
138,359,990,697,984 is an even composite number composed of four prime numbers multiplied together.
138359990697984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138359990697984:
214 × 32 × 113 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138359990697984 from the Numbermatics database.
Names of 138359990697984
- Cardinal: 138359990697984 can be written as One hundred thirty-eight trillion, three hundred fifty-nine billion, nine hundred ninety million, six hundred ninety-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38359990697984 × 1014
Factors of 138359990697984
Divisors of 138359990697984
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 89 96 99 121 128 132 144 176 178 192 198 242 256 264 267 288 352 356 363 384 396 484 512 528 534 576 704 712 726 768 792 801 968 979 1024 1056 1068 1089 1152 1331 1408 1424 1452 1536 1584 1602 1936 1958 2048 2112 2136 2178 2304 2662 2816 2848 2904 2937 3072 3168 3204 3872 3916 3993 4096 4224 4272 4356 4608 5324 5632 5696 5808 5874 6144 6336 6408 7744 7832 7921 7986 8192 8448 8544 8712 8811 9216 10648 10769 11264 11392 11616 11748 11979 12288 12672 12816 15488 15664 15842 15972 16384 16896 17088 17424 17622 18432 21296 21538 22528 22784 23232 23496 23763 23958 24576 25344 25632 30976 31328 31684 31944 32307 33792 34176 34848 35244 36864 42592 43076 45056 45568 46464 46992 47526 47916 49152 50688 51264 61952 62656 63368 63888 64614 67584 68352 69696 70488 71289 73728 85184 86152 87131 90112 91136 92928 93984 95052 95832 96921 101376 102528 118459 123904 125312 126736 127776 129228 135168 136704 139392 140976 142578 147456 170368 172304 174262 180224 182272 185856 187968 190104 191664 193842 202752 205056 236918 247808 250624 253472 255552 258456 261393 270336 273408 278784 281952 285156 340736 344608 348524 355377 364544 371712 375936 380208 383328 387684 405504 410112 473836 495616 501248 506944 511104 516912 522786 540672 546816 557568 563904 570312 681472 689216 697048 704969 710754 729088 743424 751872 760416 766656 775368 784179 811008 820224 947672 958441 991232 1002496 1013888 1022208 1033824 1045572 1066131 1093632 1115136 1127808 1140624 1362944 1378432 1394096 1409938 1421508 1458176 1486848 1503744 1520832 1533312 1550736 1568358 1622016 1640448 1895344 1916882 1982464 2004992 2027776 2044416 2067648 2091144 2114907 2132262 2187264 2230272 2255616 2281248 2725888 2756864 2788192 2819876 2843016 2875323 2973696 3007488 3041664 3066624 3101472 3136716 3280896 3790688 3833764 4009984 4055552 4088832 4135296 4182288 4229814 4264524 4374528 4460544 4511232 4562496 5451776 5513728 5576384 5639752 5686032 5750646 5947392 6014976 6083328 6133248 6202944 6273432 6344721 6561792 7581376 7667528 7754659 8019968 8111104 8177664 8270592 8364576 8459628 8529048 8625969 8921088 9022464 9124992 10542851 10903552 11027456 11152768 11279504 11372064 11501292 12029952 12166656 12266496 12405888 12546864 12689442 13123584 15162752 15335056 15509318 16039936 16222208 16355328 16541184 16729152 16919256 17058096 17251938 17842176 18044928 18249984 21085702 21807104 22054912 22305536 22559008 22744128 23002584 23263977 24059904 24333312 24532992 24811776 25093728 25378884 30325504 30670112 31018636 31628553 32444416 32710656 33082368 33458304 33838512 34116192 34503876 36089856 36499968 42171404 44109824 44611072 45118016 45488256 46005168 46527954 48119808 48666624 49065984 49623552 50187456 50757768 60651008 61340224 62037272 63257106 64888832 65421312 66164736 66916608 67677024 68232384 69007752 69791931 72179712 72999936 84342808 85301249 88219648 89222144 90236032 90976512 92010336 93055908 94885659 97333248 98131968 99247104 100374912 101515536 121302016 122680448 124074544 126514212 129777664 132329472 133833216 135354048 136464768 138015504 139583862 144359424 145999872 168685616 170602498 176439296 178444288 180472064 181953024 184020672 186111816 189771318 194666496 196263936 198494208 200749824 203031072 242604032 245360896 248149088 253028424 255903747 264658944 267666432 270708096 272929536 276031008 279167724 291999744 337371232 341204996 356888576 360944128 363906048 368041344 372223632 379542636 389332992 396988416 401499648 406062144 485208064 490721792 496298176 506056848 511807494 529317888 535332864 541416192 545859072 552062016 558335448 583999488 674742464 682409992 713777152 721888256 727812096 736082688 744447264 759085272 767711241 793976832 802999296 812124288 938313739 970416128 981443584 992596352 1012113696 1023614988 1070665728 1082832384 1091718144 1104124032 1116670896 1167998976 1349484928 1364819984 1427554304 1443776512 1455624192 1472165376 1488894528 1518170544 1535422482 1587953664 1605998592 1624248576 1876627478 1940832256 1962887168 1985192704 2024227392 2047229976 2141331456 2165664768 2183436288 2208248064 2233341792 2698969856 2729639968 2814941217 2887553024 2911248384 2944330752 2977789056 3036341088 3070844964 3211997184 3248497152 3753254956 3925774336 3970385408 4048454784 4094459952 4282662912 4331329536 4366872576 4416496128 4466683584 5397939712 5459279936 5629882434 5775106048 5822496768 5888661504 5955578112 6072682176 6141689928 6423994368 6496994304 7506509912 7851548672 7940770816 8096909568 8188919904 8444823651 8662659072 8733745152 8832992256 8933367168 10795879424 10918559872 11259764868 11550212096 11777323008 11911156224 12145364352 12283379856 12847988736 12993988608 15013019824 15703097344 15881541632 16193819136 16377839808 16889647302 17325318144 17467490304 17665984512 17866734336 21591758848 21837119744 22519529736 23554646016 23822312448 24290728704 24566759712 25987977216 30026039648 31763083264 32387638272 32755679616 33779294604 34650636288 35331969024 35733468672 43183517696 43674239488 45039059472 47109292032 47644624896 48581457408 49133519424 51975954432 60052079296 63526166528 64775276544 65511359232 67558589208 70663938048 71466937344 86367035392 87348478976 90078118944 95289249792 97162914816 98267038848 103951908864 120104158592 127052333056 129550553088 131022718464 135117178416 141327876096 142933874688 172734070784 174696957952 180156237888 190578499584 194325829632 196534077696 240208317184 259101106176 262045436928 270234356832 285867749376 349393915904 360312475776 381156999168 388651659264 393068155392 480416634368 518202212352 524090873856 540468713664 571735498752 698787831808 720624951552 777303318528 786136310784 960833268736 1048181747712 1080937427328 1143470997504 1397575663616 1441249903104 1554606637056 1572272621568 1921666537472 2096363495424 2161874854656 2882499806208 3144545243136 3843333074944 4192726990848 4323749709312 5764999612416 6289090486272 7686666149888 8647499418624 11529999224832 12578180972544 15373332299776 17294998837248 23059998449664 34589997674496 46119996899328 69179995348992 138359990697984
- Sum of all divisors σ(n): 444629688441120
- Sum of proper divisors (its aliquot sum) s(n): 306269697743136
- 138359990697984 is an abundant number, because the sum of its proper divisors (306269697743136) is greater than itself. Its abundance is 167909707045152
Bases of 138359990697984
- Binary: 111110111010110011100100001100011000000000000002
- Hexadecimal: 0x7DD67218C000
- Base-36: 1D1LPA41S0
Squares and roots of 138359990697984
- 138359990697984 squared (1383599906979842) is 19143487025946219007501664256
- 138359990697984 cubed (1383599906979843) is 2648692686836896250733785919175559064059904
-
The
square root of 138359990697984 is 11762652.3666213989 -
The
cube root of 138359990697984 is 51721.3884266855
Scales and comparisons
How big is 138359990697984?- 138,359,990,697,984 seconds is equal to 4,399,419 years, 37 weeks, 6 days, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,359,990,697,984 would take you about ten million, nine hundred ninety-eight thousand, five hundred forty-nine 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 138359990697984 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138359990697984
- 138359990697984 backwards is 489796099953831
- The number of decimal digits it has is: 15
- The sum of 138359990697984's digits is 90
- More coming soon!
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