83042838022144
83,042,838,022,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 83042838022144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
83042838022144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 83042838022144:
211 × 7 × 112 × 132 × 17 × 19 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 13 × 17 × 19 × 877)See below for interesting mathematical facts about the number 83042838022144 from the Numbermatics database.
Names of 83042838022144
- Cardinal: 83042838022144 can be written as Eighty-three trillion, forty-two billion, eight hundred thirty-eight million, twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 8.3042838022144 × 1013
Factors of 83042838022144
Divisors of 83042838022144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 19 22 26 28 32 34 38 44 52 56 64 68 76 77 88 91 104 112 119 121 128 133 136 143 152 154 169 176 182 187 208 209 221 224 238 242 247 256 266 272 286 304 308 323 338 352 364 374 416 418 442 448 476 484 494 512 532 544 572 608 616 646 676 704 728 748 832 836 847 877 884 896 952 968 988 1001 1024 1064 1088 1144 1183 1216 1232 1292 1309 1352 1408 1456 1463 1496 1547 1573 1664 1672 1694 1729 1754 1768 1792 1859 1904 1936 1976 2002 2048 2057 2128 2176 2261 2288 2299 2366 2431 2432 2464 2584 2618 2704 2717 2816 2873 2912 2926 2992 3094 3146 3211 3328 3344 3388 3458 3508 3536 3553 3584 3718 3808 3872 3952 4004 4114 4199 4256 4352 4522 4576 4598 4732 4862 4864 4928 5168 5236 5408 5434 5632 5746 5824 5852 5984 6139 6188 6292 6422 6656 6688 6776 6916 7016 7072 7106 7168 7436 7616 7744 7904 8008 8228 8398 8512 8704 9044 9152 9196 9464 9647 9724 9728 9856 10336 10472 10816 10868 11011 11264 11401 11492 11648 11704 11968 12278 12376 12584 12844 13013 13312 13376 13552 13832 14032 14144 14212 14336 14399 14872 14909 15232 15488 15808 16016 16093 16456 16663 16796 17017 17024 17408 18088 18304 18392 18928 19019 19294 19448 19456 19712 20111 20449 20672 20944 21632 21736 22022 22477 22528 22802 22984 23296 23408 23936 24556 24752 24871 25168 25688 26026 26624 26741 26752 27104 27664 28064 28288 28424 28798 29393 29744 29818 29887 30464 30976 31603 31616 32032 32186 32912 33326 33592 34034 34048 34816 35321 36176 36608 36784 37856 38038 38588 38896 38912 39083 39424 40222 40898 41344 41888 43264 43472 44044 44954 45604 45968 46189 46592 46816 47872 49112 49504 49742 50336 51376 52052 53482 53504 54208 54587 55328 56128 56576 56848 57596 58786 59488 59636 59774 60928 61952 63206 63232 64064 64372 65824 66652 67184 67529 68068 68096 70642 72352 73216 73568 75712 76076 77176 77792 78166 78848 79807 80444 81796 82688 83776 86528 86944 88088 89908 91208 91936 92378 93184 93632 95744 98224 99008 99484 100672 102752 104104 104363 106117 106964 107008 108416 109174 110656 112256 113152 113696 115192 116641 117572 118976 119272 119548 121856 123904 125411 126412 126464 128128 128744 131648 133304 134368 135058 136136 136192 141284 143143 144704 146432 147136 148213 151424 152152 154352 155584 156332 157696 159614 160888 163592 163999 165376 167552 173056 173888 176176 179816 182416 183293 183872 184756 186368 187187 187264 191488 193817 196448 198016 198968 201344 205504 208208 208726 209209 212234 213928 214016 216619 216832 218348 221221 221312 224512 226304 227392 230384 233282 235144 237952 238544 239096 243712 247247 247808 250822 252824 252928 256256 257488 263296 266608 268736 270116 272272 272384 273581 282568 283271 286286 289408 292864 294272 296426 302848 304304 308704 311168 312664 319228 321776 323323 327184 327998 330752 335104 346112 347633 347776 352352 359632 364832 366586 367744 369512 374374 374528 382109 382976 387634 388531 392896 396032 397936 402688 411008 416416 417452 418418 424468 427856 428032 433238 433664 436696 442442 442624 449024 452608 454784 460768 466564 470288 475904 477088 478192 494494 501644 505648 505856 508079 512512 514976 526592 533216 537472 540232 544544 547162 565136 566542 572572 578816 588544 592852 600457 605696 608608 617408 622336 625328 638456 643552 646646 654368 655996 661504 670208 695266 695552 704704 719264 729664 733172 735488 739024 742819 748748 749056 764218 775268 777062 785792 792064 795872 805376 822016 832832 834904 836836 848936 855712 866476 867328 873392 877877 884884 885248 898048 909568 921536 933128 940576 951808 954176 956384 988988 1003288 1011296 1016158 1025024 1029952 1037491 1053184 1066432 1074944 1080464 1089088 1094324 1130272 1133084 1145144 1147993 1157632 1177088 1185704 1200914 1211392 1217216 1234816 1244672 1250656 1276912 1283051 1287104 1293292 1308736 1311992 1340416 1356719 1379521 1390532 1391104 1409408 1438528 1459328 1466344 1470976 1478048 1485638 1497496 1498112 1516333 1528436 1550536 1554124 1571584 1584128 1591744 1610752 1630343 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93807428 93846016 94595072 95080832 95745598 95839744 97045312 97819904 99234304 99463936 99711392 101023384 103110644 104341952 104843596 105680432 106867712 107115008 108663808 110863324 110908928 111794176 112368256 112908488 113265152 113809696 115455296 117840736 119391272 119440384 123906068 125536411 126590464 126905408 128420864 129038272 130068224 132798848 133437304 134502368 136447168 137103164 138299392 140073472 141098776 143470184 145034752 146578432 146943104 151770112 152499776 153716992 154506352 155739584 157698632 161255744 162031012 163444736 164162999 164230528 165541376 167934976 173660032 174061888 174494936 176578688 177988096 180227008 182598416 183476293 184940756 187614856 187692032 190161664 191491196 191679488 194010817 194090624 195639808 198468608 198927872 199422784 202046768 206221288 208683904 209687192 211360864 213735424 214230016 216835619 217327616 221726648 221817856 224736512 225816976 226530304 227619392 230910592 235681472 238782544 238880768 239930537 247812136 251072822 253180928 253810816 256841728 258076544 260136448 265597696 266874608 269004736 272894336 274206328 280146944 282197552 283554271 286940368 290069504 293156864 293886208 303540224 304874141 304999552 307433984 309012704 311479168 315397264 322511488 324062024 328325998 328461056 331082752 335109593 335869952 340741687 347320064 348123776 348989872 353157376 355976192 360454016 365196832 366952586 369881512 375229712 375384064 380323328 382982392 383358976 388021634 388181248 391279616 396937216 397855744 398845568 404093536 412442576 417367808 419374384 422721728 428460032 433671238 443453296 443635712 445585283 449473024 451633952 453060608 455238784 461821184 471362944 477565088 479861074 495624272 502145644 506361856 507621632 516153088 520272896 526600789 531195392 533749216 538009472 545788672 548412656 560293888 564395104 567108542 573880736 580139008 587772416 609748282 609999104 614867968 618025408 622958336 630794528 645022976 648124048 656651996 656922112 662165504 670219186 681483374 694640128 696247552 697979744 706314752 711952384 720908032 730393664 733905172 739763024 750459424 760646656 765964784 776043268 776362496 782559232 795711488 797691136 808187072 824885152 834735616 838748768 845443456 867342476 886906592 891170566 898946048 903267904 910477568 923642368 942725888 955130176 959722148 991248544 1004291288 1015243264 1032306176 1040545792 1053201578 1062390784 1067498432 1076018944 1091577344 1096825312 1128790208 1134217084 1147761472 1175544832 1219496564 1219998208 1229735936 1236050816 1245916672 1261589056 1290045952 1296248096 1313303992 1313844224 1340438372 1362966748 1389280256 1392495104 1395959488 1412629504 1441816064 1460787328 1467810344 1479526048 1500918848 1521293312 1531929568 1552086536 1552724992 1595382272 1616374144 1649770304 1669471232 1677497536 1690886912 1734684952 1773813184 1782341132 1797892096 1806535808 1820955136 1847284736 1885451776 1910260352 1919444296 1982497088 2008582576 2030486528 2064612352 2106403156 2124781568 2134118987 2134996864 2152037888 2183154688 2193650624 2257580416 2268434168 2295522944 2351089664 2385191809 2438993128 2439996416 2472101632 2491833344 2523178112 2580091904 2592496192 2626607984 2627688448 2680876744 2725933496 2778560512 2784990208 2791918976 2825259008 2883632128 2921574656 2935620688 2959052096 3001837696 3063859136 3104173072 3105449984 3119096981 3190764544 3232748288 3299540608 3338942464 3354995072 3381773824 3469369904 3547626368 3564682264 3613071616 3641910272 3686205523 3694569472 3770903552 3820520704 3838888592 3964994176 4017165152 4060973056 4129224704 4212806312 4268237974 4269993728 4304075776 4366309376 4387301248 4515160832 4536868336 4591045888 4770383618 4877986256 4879992832 4944203264 4983666688 5046356224 5160183808 5184992384 5253215968 5361753488 5451866992 5569980416 5583837952 5767264256 5792608679 5843149312 5871241376 5918104192 6003675392 6127718272 6208346144 6238193962 6381529088 6465496576 6599081216 6709990144 6763547648 6938739808 7095252736 7129364528 7226143232 7283820544 7372411046 7541807104 7641041408 7677777184 7929988352 8034330304 8425612624 8536475948 8539987456 8608151552 8774602496 9030321664 9073736672 9182091776 9540767236 9755972512 9888406528 10092712448 10369984768 10506431936 10723506976 10903733984 11167675904 11585217358 11686298624 11742482752 11836208384 12007350784 12255436544 12416692288 12476387924 12930993152 13198162432 13419980288 13527095296 13877479616 14190505472 14258729056 14452286464 14744822092 15282082816 15355554368 15859976704 16068660608 16851225248 17072951896 17079974912 17549204992 18060643328 18147473344 18364183552 19081534472 19511945024 19776813056 20185424896 20739969536 21012863872 21447013952 21807467968 22335351808 23170434716 23372597248 23484965504 23672416768 24014701568 24510873088 24833384576 24952775848 25861986304 26396324864 26839960576 27754959232 28381010944 28517458112 28904572928 29489644184 30564165632 30711108736 31719953408 32137321216 33702450496 34145903792 34159949824 35098409984 36121286656 36294946688 36728367104 38163068944 39023890048 40370849792 40548260753 41479939072 42025727744 42894027904 43614935936 44670703616 46340869432 46969931008 47344833536 48029403136 49021746176 49666769152 49905551696 52792649728 53679921152 55509918464 56762021888 57034916224 58979288368 61422217472 63439906816 64274642432 67404900992 68291807584 70196819968 72589893376 76326137888 78047780096 81096521506 82959878144 84051455488 85788055808 87229871872 92681738864 93939862016 94689667072 98043492352 99333538304 99811103392 111019836928 114069832448 117958576736 122844434944 128549284864 134809801984 136583615168 145179786752 152652275776 156095560192 162193043012 168102910976 171576111616 174459743744 185363477728 187879724032 198667076608 199622206784 222039673856 228139664896 235917153472 245688869888 257098569728 269619603968 273167230336 290359573504 305304551552 312191120384 324386086024 336205821952 343152223232 348919487488 370726955456 375759448064 397334153216 399244413568 444079347712 456279329792 471834306944 491377739776 539239207936 546334460672 580719147008 610609103104 624382240768 648772172048 686304446464 697838974976 741453910912 798488827136 912558659584 943668613888 1078478415872 1092668921344 1221218206208 1297544344096 1482907821824 1596977654272 1887337227776 2185337842688 2442436412416 2595088688192 2965815643648 3193955308544 3774674455552 4370675685376 4884872824832 5190177376384 5931631287296 6387910617088 7549348911104 10380354752768 11863262574592 20760709505536 41521419011072 83042838022144
- Sum of all divisors σ(n): 252025009891200
- Sum of proper divisors (its aliquot sum) s(n): 168982171869056
- 83042838022144 is an abundant number, because the sum of its proper divisors (168982171869056) is greater than itself. Its abundance is 85939333846912
Bases of 83042838022144
- Binary: 100101110000110111010101101110010001000000000002
- Hexadecimal: 0x4B86EADC8800
- Base-36: TFPCPNLZ4
Squares and roots of 83042838022144
- 83042838022144 squared (830428380221442) is 6896112946772045209834356736
- 83042838022144 cubed (830428380221443) is 572672790421201098382270662388428763561984
-
The
square root of 83042838022144 is 9112784.3177672101 -
The
cube root of 83042838022144 is 43628.2099411091
Scales and comparisons
How big is 83042838022144?- 83,042,838,022,144 seconds is equal to 2,640,505 years, 19 weeks, 5 days, 14 hours, 9 minutes, 4 seconds.
-
To count from 1 to 83,042,838,022,144 would take you about six million, six hundred one thousand, two hundred sixty-three 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 83042838022144 cubic inches would be around 3635.7 feet tall.
Recreational maths with 83042838022144
- 83042838022144 backwards is 44122083824038
- The number of decimal digits it has is: 14
- The sum of 83042838022144's digits is 49
- More coming soon!
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"Number 83042838022144 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 83042838022144 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/83042838022144/
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The information we have on file for 83042838022144 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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