13008143284864
13,008,143,284,864 is an even composite number composed of seven prime numbers multiplied together.
13008143284864 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13008143284864:
27 × 72 × 13 × 19 × 23 × 181 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 19 × 23 × 181 × 2017)See below for interesting mathematical facts about the number 13008143284864 from the Numbermatics database.
Names of 13008143284864
- Cardinal: 13008143284864 can be written as Thirteen trillion, eight billion, one hundred forty-three million, two hundred eighty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3008143284864 × 1013
Factors of 13008143284864
Divisors of 13008143284864
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 23 26 28 32 38 46 49 52 56 64 76 91 92 98 104 112 128 133 152 161 181 182 184 196 208 224 247 266 299 304 322 362 364 368 392 416 437 448 494 532 598 608 637 644 724 728 736 784 832 874 896 931 988 1064 1127 1196 1216 1267 1274 1288 1448 1456 1472 1568 1664 1729 1748 1862 1976 2017 2093 2128 2254 2353 2392 2432 2534 2548 2576 2896 2912 2944 3059 3136 3439 3458 3496 3724 3952 4034 4163 4186 4256 4508 4706 4784 5068 5096 5152 5681 5792 5824 6118 6272 6878 6916 6992 7448 7904 8068 8326 8372 8512 8869 9016 9412 9568 10136 10192 10304 11362 11584 11648 12103 12236 13756 13832 13984 14119 14651 14896 15808 16136 16471 16652 16744 17024 17738 18032 18824 19136 20272 20384 20608 21413 22724 23168 24073 24206 24472 26221 27512 27664 27968 28238 29141 29302 29792 31616 32272 32942 33304 33488 35476 36064 37648 38272 38323 39767 40544 40768 42826 44707 45448 46391 48146 48412 48944 52442 54119 55024 55328 55936 56476 58282 58604 59584 64544 65884 66608 66976 70952 72128 75296 76646 79097 79534 81088 81536 85652 89414 90896 92782 96292 96824 97888 98833 104884 108238 110048 110656 112952 115297 116564 117208 119168 129088 131768 133216 133952 141904 144256 150592 153292 158194 159068 162176 168511 171304 178828 181792 183547 185564 192584 193648 195776 197666 203987 209768 216476 220096 221312 225904 230594 233128 234416 258176 263536 266432 267904 268261 278369 283808 301184 306584 312949 316388 318136 324737 337022 342608 357656 363584 365077 367094 371128 378833 385168 387296 391552 395332 407974 419536 432952 440192 451808 461188 466256 468832 498199 527072 532864 536522 553679 556738 567616 603083 613168 625898 632776 636272 649474 674044 685216 715312 727168 730154 734188 742256 757666 770336 774592 790664 815948 839072 865904 881429 903616 922376 932512 937664 996398 1028261 1054144 1073044 1107358 1113476 1135232 1206166 1226336 1251796 1265552 1272544 1284829 1298948 1348088 1370432 1430624 1460308 1468376 1484512 1515332 1540672 1549184 1581328 1631896 1678144 1731808 1762858 1807232 1844752 1865024 1875328 1877827 1992796 2056522 2108288 2146088 2190643 2214716 2226952 2273159 2412332 2452672 2503592 2531104 2545088 2555539 2569658 2597896 2651831 2696176 2740864 2861248 2920616 2936752 2969024 3030664 3081344 3162656 3263792 3356288 3463616 3487393 3525716 3689504 3730048 3755654 3875753 3985592 4113044 4221581 4292176 4381286 4429432 4453904 4546318 4746001 4824664 4905344 5007184 5062208 5090176 5111078 5139316 5195792 5303662 5392352 5722496 5841232 5873504 5938048 6061328 6170003 6325312 6527584 6927232 6936463 6974786 7051432 7197827 7379008 7511308 7751506 7971184 8226088 8396771 8443162 8584352 8762572 8858864 8907808 9092636 9492002 9649328 10014368 10124416 10222156 10278632 10391584 10607324 10784704 11458577 11682464 11747008 12122656 12340006 12650624 13055168 13872926 13949572 14102864 14395654 14758016 15022616 15503012 15942368 16452176 16793542 16886324 17168704 17525144 17717728 17815616 17888773 18185272 18984004 19298656 20028736 20444312 20557264 20783168 21214648 21569408 22917154 23364928 23494016 24245312 24411751 24680012 26110336 27745852 27899144 28205728 28791308 29551067 30045232 31006024 31884736 32904352 33222007 33587084 33772648 34337408 35050288 35435456 35631232 35777546 36370544 37968008 38597312 40057472 40888624 41114528 41566336 42429296 43190021 45834308 46729856 48490624 48555241 48823502 49360024 50384789 55491704 55798288 56411456 57582616 58777397 59102134 60090464 62012048 63769472 65808704 66444014 67174168 67545296 70100576 70870912 71555092 72741088 75936016 77194624 80210039 81777248 82229056 84858592 86380042 90174019 91668616 97110482 97647004 98720048 100769578 109158023 110983408 111596576 112822912 115165232 117554794 118204268 120180928 124024096 131617408 132888028 134348336 135090592 140201152 143110184 145482176 151872032 159538649 160420078 163554496 164458112 169717184 172760084 180348038 183337232 194220964 195294008 197440096 201539156 218316046 221966816 223193152 230330464 232554049 235109588 236408536 240361856 248048192 265776056 268696672 270181184 280402304 286220368 290964352 303744064 319077298 320840156 327108992 339434368 339886687 345520168 360696076 366674464 388441928 390588016 394880192 403078312 411441779 436632092 443933632 446386304 460660928 465108098 470219176 472817072 496096384 531552112 537393344 540362368 561470273 572440736 607488128 631218133 638154596 641680312 679773374 691040336 721392152 733348928 764106161 776883856 781176032 789760384 806156624 822883558 873264184 887867264 921321856 930216196 940438352 945634144 1063104224 1074786688 1116770543 1122940546 1144881472 1262436266 1276309192 1283360624 1359546748 1382080672 1442784304 1466697856 1528212322 1553767712 1562352064 1612313248 1645767116 1746528368 1860432392 1880876704 1891268288 2074002437 2126208448 2233541086 2245881092 2289762944 2524872532 2552618384 2566721248 2719093496 2764161344 2885568608 3056424644 3107535424 3124704128 3224626496 3291534232 3493056736 3720864784 3761753408 3782536576 4148004874 4252416896 4418526931 4467082172 4491762184 5049745064 5105236768 5133442496 5348743127 5438186992 5528322688 5771137216 6112849288 6215070848 6449252992 6583068464 6986113472 7441729568 7523506816 7817393801 8296009748 8837053862 8934164344 8983524368 10099490128 10210473536 10266884992 10697486254 10876373984 11542274432 12225698576 13166136928 13972226944 14518017059 14883459136 15634787602 16592019496 17674107724 17868328688 17967048736 20198980256 20420947072 21394972508 21752747968 24451397152 26332273856 29036034118 29766918272 31269575204 33184038992 35348215448 35736657376 35934097472 40397960512 42789945016 43505495936 48902794304 52664547712 58072068236 62539150408 66368077984 70696430896 71473314752 71868194944 80795921024 85579890032 97805588608 101626119413 116144136472 125078300816 132736155968 141392861792 142946629504 171159780064 203252238826 232288272944 250156601632 265472311936 282785723584 342319560128 406504477652 464576545888 500313203264 565571447168 684639120256 813008955304 929153091776 1000626406528 1626017910608 1858306183552 3252035821216 6504071642432 13008143284864
- Sum of all divisors σ(n): 35873756755200
- Sum of proper divisors (its aliquot sum) s(n): 22865613470336
- 13008143284864 is an abundant number, because the sum of its proper divisors (22865613470336) is greater than itself. Its abundance is 9857470185472
Bases of 13008143284864
- Binary: 101111010100101100011100001001111010100000002
- Hexadecimal: 0xBD4B1C27A80
- Base-36: 4LZUWNGCG
Squares and roots of 13008143284864
- 13008143284864 squared (130081432848642) is 169211791719552376251498496
- 13008143284864 cubed (130081432848643) is 2201131232176501042667864508759795564544
-
The
square root of 13008143284864 is 3606680.3691017589 -
The
cube root of 13008143284864 is 23518.2554904141
Scales and comparisons
How big is 13008143284864?- 13,008,143,284,864 seconds is equal to 413,618 years, 37 weeks, 2 days, 22 hours, 41 minutes, 4 seconds.
-
To count from 1 to 13,008,143,284,864 would take you about one million, thirty-four thousand and forty-six 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 13008143284864 cubic inches would be around 1959.9 feet tall.
Recreational maths with 13008143284864
- 13008143284864 backwards is 46848234180031
- 13008143284864 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13008143284864's digits is 52
- More coming soon!
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The information we have on file for 13008143284864 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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