138473018148467968
138,473,018,148,467,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 138473018148467968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138473018148467968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138473018148467968:
28 × 73 × 193 × 592 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 19 × 19 × 59 × 59 × 257 × 257)See below for interesting mathematical facts about the number 138473018148467968 from the Numbermatics database.
Names of 138473018148467968
- Cardinal: 138473018148467968 can be written as One hundred thirty-eight quadrillion, four hundred seventy-three trillion, eighteen billion, one hundred forty-eight million, four hundred sixty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38473018148467968 × 1017
Factors of 138473018148467968
Divisors of 138473018148467968
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 49 56 59 64 76 98 112 118 128 133 152 196 224 236 256 257 266 304 343 361 392 413 448 472 514 532 608 686 722 784 826 896 931 944 1028 1064 1121 1216 1372 1444 1568 1652 1792 1799 1862 1888 2056 2128 2242 2432 2527 2744 2888 2891 3136 3304 3481 3598 3724 3776 4112 4256 4484 4864 4883 5054 5488 5776 5782 6272 6517 6608 6859 6962 7196 7448 7552 7847 8224 8512 8968 9766 10108 10976 11552 11564 12544 12593 13034 13216 13718 13924 14392 14896 15104 15163 15694 16448 17024 17689 17936 19532 20216 20237 21299 21952 23104 23128 24367 25186 26068 26432 27436 27848 28784 29792 30326 31388 32896 34048 34181 35378 35872 39064 40432 40474 42598 43904 46208 46256 48013 48734 50372 52136 52864 54872 54929 55696 57568 59584 60652 62776 65792 66049 66139 68362 70756 71744 78128 80864 80948 85196 87808 88151 92416 92512 92777 96026 97468 100744 104272 105728 106141 109744 109858 111392 115136 119168 121304 123823 125552 132098 132278 136724 141512 143488 149093 156256 161728 161896 170392 170569 176302 185024 185554 192052 194936 201488 208544 212282 219488 219716 222784 230272 238336 239267 242608 247646 251104 264196 264556 273448 283024 286976 288097 298186 312512 323456 323792 336091 340784 341138 352604 370048 371108 384104 384503 389872 402976 404681 417088 424564 438976 439432 445568 460544 462343 462973 478534 485216 495292 502208 528392 529112 546896 566048 576194 596372 625024 646912 647584 649439 672182 681568 682276 705208 740096 742216 742987 768208 769006 779744 805952 809362 834176 849128 877952 878864 891136 894617 924686 925946 957068 970432 990584 1004416 1043651 1056784 1058224 1093792 1132096 1152388 1192744 1193983 1250048 1254931 1256641 1295168 1298878 1344364 1363136 1364552 1410416 1484432 1485974 1536416 1538012 1559488 1611904 1618724 1668352 1674869 1698256 1755904 1757728 1762763 1789234 1849372 1851892 1914136 1940864 1981168 2008832 2016679 2087302 2113568 2116448 2187584 2264192 2304776 2352637 2385488 2387966 2509862 2513282 2590336 2597756 2688728 2726272 2729104 2820832 2832767 2968864 2971948 3072832 3076024 3118976 3223808 3236401 3237448 3240811 3349738 3396512 3515456 3525526 3578468 3698744 3703784 3828272 3881728 3896891 3962336 4033358 4174604 4227136 4232896 4375168 4528384 4546073 4609552 4705274 4770976 4775932 5019724 5026564 5180672 5195512 5200909 5377456 5452544 5458208 5473843 5641664 5665534 5937728 5943896 6145664 6152048 6237952 6262319 6472802 6474896 6481622 6699476 6793024 7030912 7051052 7156936 7305557 7397488 7407568 7656544 7793782 7924672 8066716 8349208 8454272 8465792 8750336 8784517 8796487 9092146 9219104 9410548 9541952 9551864 10039448 10053128 10391024 10401818 10754912 10916416 10947686 11283328 11331068 11875456 11887792 12291328 12304096 12339341 12524638 12945604 12949792 12963244 13398952 13586048 14061824 14102104 14116753 14313872 14611114 14794976 14815136 15313088 15587564 15849344 16133432 16698416 16908544 16931584 16997723 17569034 17592974 18184292 18438208 18821096 19083904 19103728 19829369 20078896 20106256 20782048 20803636 21509824 21832832 21895372 22566656 22654807 22662136 22685677 23750912 23775584 23843689 23876179 24608192 24678682 25049276 25891208 25899584 25926488 26797904 27172096 27278237 28204208 28233506 28627744 29222228 29589952 29630272 30626176 31175128 31698688 31822511 32266864 33396832 33995446 35138068 35185948 36368584 36876416 37642192 38167808 38207456 38316901 39658738 40157792 40212512 41564096 41607272 43019648 43665664 43790744 43836233 45309614 45324272 45371354 47551168 47687378 47752358 49216384 49357364 50098552 51782416 51799168 51852976 53595808 54556474 56408416 56467012 57255488 58444456 59179904 59260544 61252352 61491619 61575409 62350256 63645022 64533728 66793664 67990892 70276136 70371896 72737168 73752832 74040929 75284384 76414912 76633802 79317476 80315584 80425024 83128192 83214544 86039296 86375387 87581488 87672466 90619228 90648544 90742708 95102336 95374756 95504716 98432768 98714728 98817271 100197104 103564832 103598336 103705952 104003017 107191616 109112948 112816832 112934024 114510976 116888912 118359808 118521088 118984061 122983238 123150818 124700512 127290044 129067456 133587328 135981784 138805583 140552272 140743792 145474336 148081858 150568768 152829824 153267604 158634952 160631168 160850048 166256384 166429088 166905823 167133253 172750774 175162976 175344932 181238456 181297088 181485416 190204672 190749512 190947659 191009432 197429456 197634542 200394208 207129664 207411904 208006034 214383232 218225896 225633664 225868048 229021952 229916569 233777824 237968122 245966476 246301636 249401024 254580088 258134912 267174656 268218307 271963568 277611166 281104544 281487584 290948672 296163716 301137536 305659648 306535208 306853631 317269904 321262336 321700096 322956737 332858176 333811646 334266506 345501548 350325952 350689864 362476912 362594176 362970832 381499024 381895318 382018864 394858912 395269084 400788416 414259328 414823808 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110774160791 115975703296 116096176672 120161801536 122315614708 126599040904 130854165232 131032470352 132681344768 137864209798 139789273952 142692139324 144684618176 149547617408 149751394688 154784693504 155389321213 157559096912 157722766334 163076730656 165999762818 171089102464 171812984084 177587795672 180067539328 180254590096 186373406464 186567007648 187101427583 196357696096 202957480768 203168309176 206005245824 213219437312 213830202952 214052325739 221548321582 232192353344 240323603072 244631229416 253198081808 261708330464 262064940704 275728419596 279578547904 285384278648 289369236352 299095234816 299502789376 300672722147 310778642426 315118193824 315445532668 326153461312 331999525636 342178204928 343625968168 355175591344 360135078656 360509180192 373134015296 374202855166 392715392192 405914961536 406336618352 412010491648 427660405904 428104651478 443096643164 464384706688 480647206144 482524734293 489262458832 506396163616 523416660928 524129881408 551456839192 559157095808 570768557296 578738472704 580999169863 601345444294 621557284852 630236387648 630891065336 652306922624 663999051272 687251936336 710351182688 721018360384 746268030592 748405710332 785430784384 811829923072 812673236704 855320811808 856209302956 886193286328 928769413376 965049468586 978524917664 1012792327232 1046833321856 1048259762816 1102913678384 1118314191616 1141537114592 1161998339726 1202690888588 1243114569704 1260472775296 1261782130672 1304613845248 1309709993081 1327998102544 1374503872672 1420702365376 1442036720768 1492536061184 1496811420664 1498366280173 1570861568768 1576997746771 1625346473408 1710641623616 1712418605912 1772386572656 1930098937172 1957049835328 2025584654464 2093666643712 2096519525632 2104709055029 2205827356768 2283074229184 2323996679452 2405381777176 2486229139408 2520945550592 2523564261344 2619419986162 2655996205088 2749007745344 2841404730752 2884073441536 2993622841328 2996732560346 3153995493542 3250692946816 3421283247232 3424837211824 3544773145312 3860197874344 3914099670656 4051169308928 4066994189041 4209418110058 4411654713536 4566148458368 4647993358904 4810763554352 4972458278816 5047128522688 5238839972324 5311992410176 5498015490688 5682809461504 5987245682656 5993465120692 6307990987084 6501385893632 6842566494464 6849674423648 7089546290624 7720395748688 7828199341312 8133988378082 8418836220116 8823309427072 9132296916736 9167969951567 9295986717808 9621527108704 9944916557632 10094257045376 10477679944648 10623984820352 10996030981376 11038984227397 11974491365312 11986930241384 12615981974168 13699348847296 14179092581248 15440791497376 16267976756164 16837672440232 17646618854144 18335939903134 18591973435616 19243054217408 19889833115264 20188514090752 20955359889296 21247969640704 22077968454794 23948982730624 23973860482768 25231963948336 27398697694592 28358185162496 28468959323287 30881582994752 32535953512328 33675344880464 36671879806268 37183946871232 38486108434816 39779666230528 41910719778592 44155936909588 47897965461248 47947720965536 50463927896672 54797395389184 56937918646574 61763165989504 65071907024656 67350689760928 73343759612536 74367893742464 76972216869632 77272889591779 83821439557184 88311873819176 95895441931072 100927855793344 113875837293148 123526331979008 130143814049312 134701379521856 146687519225072 148735787484928 154545779183558 167642879114368 176623747638352 191790883862144 201855711586688 227751674586296 260287628098624 269402759043712 293375038450144 309091558367116 335285758228736 353247495276704 383581767724288 403711423173376 455503349172592 520575256197248 538805518087424 540910227142453 586750076900288 618183116734232 706494990553408 911006698345184 1041150512394496 1081820454284906 1173500153800576 1236366233468464 1412989981106816 1822013396690368 2163640908569812 2347000307601152 2472732466936928 2825979962213632 3644026793380736 4327281817139624 4945464933873856 7288053586761472 8654563634279248 9890929867747712 17309127268558496 19781859735495424 34618254537116992 69236509074233984 138473018148467968
- Sum of all divisors σ(n): 347459958555472000
- Sum of proper divisors (its aliquot sum) s(n): 208986940407004032
- 138473018148467968 is an abundant number, because the sum of its proper divisors (208986940407004032) is greater than itself. Its abundance is 70513922258536064
Bases of 138473018148467968
- Binary: 1111010111111010001111001111100011011011100110101000000002
- Hexadecimal: 0x1EBF479F1B73500
- Base-36: 11VGL6CA7VGG
Squares and roots of 138473018148467968
- 138473018148467968 squared (1384730181484679682) is 19174776755145939232617585522049024
- 138473018148467968 cubed (1384730181484679683) is 2655189209608145377675312248429446140759269789663232
-
The
square root of 138473018148467968 is 372119628.8137296957 -
The
cube root of 138473018148467968 is 517354.6847371069
Scales and comparisons
How big is 138473018148467968?- 138,473,018,148,467,968 seconds is equal to 4,403,013,651 years, 49 weeks, 3 days, 23 hours, 19 minutes, 28 seconds.
-
To count from 1 to 138,473,018,148,467,968 would take you about thirteen billion, two hundred nine million, forty thousand, nine hundred fifty-five 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 138473018148467968 cubic inches would be around 43112.9 feet tall.
Recreational maths with 138473018148467968
- 138473018148467968 backwards is 869764841810374831
- The number of decimal digits it has is: 18
- The sum of 138473018148467968's digits is 88
- More coming soon!
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"Number 138473018148467968 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138473018148467968 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138473018148467968/
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Numbermatics. 2024. "Number 138473018148467968 - Facts about the integer". https://numbermatics.com/n/138473018148467968/
The information we have on file for 138473018148467968 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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