82338818311152

Names of 82338818311152

• Cardinal: 82338818311152 can be written as Eighty-two trillion, three hundred thirty-eight billion, eight hundred eighteen million, three hundred eleven thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 8.2338818311152 × 10¹³

Factors of 82338818311152

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 87090

Divisors of 82338818311152

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 23 24 26 27 34 36 39 46 48 51 52 54 68 69 72 78 92 102 104 108 117 136 138 144 153 156 184 204 207 208 216 221 234 272 276 299 306 312 351 368 391 408 414 432 433 442 459 468 552 598 612 621 624 663 702 782 816 828 866 884 897 918 936 1104 1173 1196 1224 1242 1299 1326 1404 1564 1656 1732 1768 1794 1836 1872 1989 2346 2392 2448 2484 2598 2652 2691 2808 3128 3312 3464 3519 3536 3588 3672 3897 3978 4692 4784 4968 5083 5196 5304 5382 5616 5629 5967 6256 6928 7038 7176 7344 7361 7794 7956 8073 9384 9936 9959 10166 10392 10557 10608 10764 11258 11691 11934 14076 14352 14722 15249 15588 15912 16146 16887 18768 19918 20332 20784 21114 21528 22083 22516 23382 23868 28152 29444 29877 30498 31176 31824 32292 33774 39836 40664 42228 43056 44166 45032 45747 46764 47736 50661 56304 58888 59754 60996 62352 64584 66249 67548 79672 81328 84456 86599 88332 89631 90064 91494 93528 95472 95693 101322 117776 119508 121992 129168 129467 132498 135096 137241 151983 159344 168912 169303 173198 176664 179262 182988 187056 191386 198747 202644 239016 243984 258934 259797 264996 268893 270192 274482 287079 303966 338606 346396 353328 358524 365976 382772 388401 397494 405288 478032 507909 517868 519594 529992 537786 548964 574158 607932 677212 692792 717048 731952 765544 776802 779391 794988 810576 861237 1015818 1035736 1039188 1059984 1075572 1097928 1125787 1148316 1165203 1215864 1354424 1385584 1434096 1472183 1523727 1531088 1553604 1558782 1589976 1722474 1991777 2031636 2071472 2078376 2151144 2195856 2200939 2251574 2296632 2330406 2338173 2431728 2583711 2708848 2944366 3047454 3107208 3117564 3179952 3377361 3444948 3495609 3983554 4063272 4156752 4302288 4401878 4416549 4503148 4571181 4593264 4660812 4676346 5167422 5888732 5975331 6094908 6214416 6235128 6602817 6754722 6889896 6991218 7967108 8126544 8803756 8833098 9006296 9142362 9321624 9352692 10132083 10334844 11777464 11950662 12189816 12470256 13205634 13249647 13509444 13779792 13982436 15934216 17607512 17666196 17925993 18012592 18284724 18643248 18705384 19138379 19808451 20264166 20669688 23554928 23901324 24379632 25893101 26411268 26499294 27018888 27964872 30396249 31868432 33860209 35215024 35332392 35851986 36569448 37410768 37497367 38276758 39616902 39748941 40528332 41339376 47802648 51786202 52822536 52998588 53777979 54037776 55929744 57415137 59425353 60792498 67720418 70664784 71703972 73138896 74994734 76553516 77679303 79233804 79497882 81056664 95605296 101580627 103572404 105645072 105997176 107555958 112492101 114830274 118850706 121584996 135440836 143407944 149989468 153107032 155358606 158467608 158995764 162113328 172245411 203161254 207144808 211994352 215111916 224984202 229660548 233037909 237701412 243169992 270881672 286815888 299978936 304741881 306214064 310717212 316935216 317991528 337476303 344490822 406322508 414289616 430223832 440182717 449968404 459321096 466075818 475402824 486339984 487465771 516736233 541763344 599957872 609483762 621434424 635983056 637455239 674952606 688981644 699113727 812645016 860447664 862439441 880365434 899936808 914225643 918642192 932151636 950805648 974931542 1012428909 1033472466 1218967524 1242868848 1274910478 1320548151 1349905212 1377963288 1398227454 1462397313 1625290032 1724878882 1760730868 1799873616 1828451286 1864303272 1912365717 1949863084 2024857818 2066944932 2437935048 2549820956 2587318323 2641096302 2699810424 2755926576 2796454908 2924794626 3449757764 3521461736 3656902572 3728606544 3824731434 3899726168 3961644453 4049715636 4133889864 4387191939 4875870096 5099641912 5174636646 5282192604 5399620848 5592909816 5737097151 5849589252 6899515528 7042923472 7313805144 7649462868 7761954969 7799452336 7923288906 8099431272 8267779728 8286918107 8774383878 10199283824 10349273292 10564385208 11185819632 11211712733 11474194302 11699178504 11884933359 13161575817 13799031056 14627610288 14661470497 15298925736 15523909938 15846577812 16198862544 16573836214 17211291453 17548767756 20698546584 21128770416 22423425466 22948388604 23285864907 23398357008 23769866718 24860754321 26323151634 29322940994 30597851472 31047819876 31693155624 33147672428 33635138199 34422582906 35097535512 41397093168 43984411491 44846850932 45896777208 46571729814 47539733436 49721508642 52646303268 58645881988 62095639752 63386311248 66295344856 67270276398 68845165812 70195071024 74582262963 87968822982 89693701864 91793554416 93143459628 95079466872 99443017284 100905414597 105292606536 117291763976 124191279504 131953234473 132590689712 134540552796 137690331624 149164525926 175937645964 179387403728 186286919256 190158933744 190599116461 198886034568 201810829194 210585213072 223746788889 234583527952 263906468946 269081105592 275380663248 298329051852 302716243791 351875291928 372573838512 381198232922 395859703419 397772069136 403621658388 447493577778 527812937892 538162211184 571797349383 596658103704 605432487582 703750583856 762396465844 791719406838 807243316776 894987155556 1055625875784 1143594698766 1193316207408 1210864975164 1524792931688 1583438813676 1614486633552 1715392048149 1789974311112 2111251751568 2287189397532 2421729950328 3049585863376 3166877627352 3430784096298 3579948622224 4574378795064 4843459900656 5146176144447 6333755254704 6861568192596 9148757590128 10292352288894 13723136385192 20584704577788 27446272770384 41169409155576 82338818311152
• Sum of all divisors σ(n): 281864959488000
• Sum of proper divisors (its aliquot sum) s(n): 199526141176848
• 82338818311152 is an abundant number, because the sum of its proper divisors (199526141176848) is greater than itself. Its abundance is 117187322865696

Bases of 82338818311152

• Binary: 10010101110001100000000000001000100001111110000₂
• Hexadecimal: 0x4AE3000443F0
• Base-36: T6PXIHWC0

Squares and roots of 82338818311152

• 82338818311152 squared (82338818311152²) is 6779681000876899893487567104
• 82338818311152 cubed (82338818311152³) is 558230922138772203518941328697486551543808
• The square root of 82338818311152 is 9074073.9643862283
• The cube root of 82338818311152 is 43504.5696192419

Scales and comparisons

• 82,338,818,311,152 seconds is equal to 2,618,119 years, 38 weeks, 7 hours, 19 minutes, 12 seconds.
• To count from 1 to 82,338,818,311,152 would take you about six million, five hundred forty-five thousand, two hundred ninety-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 82338818311152 cubic inches would be around 3625.4 feet tall.

Recreational maths with 82338818311152

• 82338818311152 backwards is 25111381883328
• 82338818311152 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 82338818311152's digits is 54
• More coming soon!