133306513170432

Names of 133306513170432

• Cardinal: 133306513170432 can be written as One hundred thirty-three trillion, three hundred six billion, five hundred thirteen million, one hundred seventy thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.33306513170432 × 10¹⁴

Factors of 133306513170432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 99

Divisors of 133306513170432

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 37 38 42 48 56 57 62 64 74 76 84 93 96 111 112 114 124 128 133 148 152 168 186 192 217 222 224 228 248 256 259 266 296 304 336 372 384 399 434 444 448 456 496 512 518 532 589 592 608 651 672 703 744 768 777 798 868 888 896 912 961 992 1024 1036 1064 1147 1178 1184 1216 1302 1344 1369 1406 1488 1536 1554 1596 1736 1767 1776 1792 1824 1922 1984 2048 2072 2109 2128 2294 2356 2368 2432 2604 2688 2738 2812 2883 2976 3072 3108 3192 3441 3472 3534 3552 3584 3648 3844 3968 4096 4107 4123 4144 4218 4256 4588 4712 4736 4864 4921 5208 5376 5476 5624 5766 5952 6144 6216 6384 6727 6882 6944 7068 7104 7168 7296 7688 7936 8029 8192 8214 8246 8288 8436 8512 9176 9424 9472 9583 9728 9842 10416 10752 10952 11248 11532 11904 12288 12369 12432 12768 13454 13764 13888 14136 14208 14336 14592 14763 15376 15872 16058 16428 16492 16576 16872 17024 18259 18352 18848 18944 19166 19456 19684 20181 20832 21504 21793 21904 22496 23064 23808 24087 24576 24738 24864 25536 26011 26908 27528 27776 28272 28416 28672 28749 29184 29526 29791 30752 31744 32116 32856 32984 33152 33744 34048 35557 36518 36704 37696 37888 38332 38912 39368 40362 41664 42439 43008 43586 43808 44992 46128 47616 48174 49476 49728 51072 52022 53816 54777 55056 55552 56544 56832 57344 57498 58368 59052 59582 61504 63488 64232 65379 65712 65968 66304 67488 68096 71114 73036 73408 75392 75776 76664 77824 78033 78736 80724 83328 84878 86016 87172 87616 89373 89984 92256 95232 96348 98952 99456 102144 104044 106671 107632 109554 110112 111104 113088 113664 114996 116736 118104 119164 123008 126976 127317 127813 128464 130758 131424 131936 132608 134976 136192 142228 146072 146816 150784 151552 152551 153328 155648 156066 157472 161448 166656 169756 172032 174344 175232 178746 179968 182077 184512 190464 192696 197904 198912 204288 208088 208537 213342 215264 219108 220224 222208 226176 227328 229992 233472 236208 238328 246016 248899 253952 254634 255626 256928 261516 262848 263872 265216 269952 272384 284456 292144 293632 297073 301568 303104 305102 306656 312132 314944 322896 333312 339512 348688 350464 357492 359936 364154 369024 380928 383439 385392 395808 397824 408576 416176 417074 426684 430528 438216 440448 444416 452352 454656 457653 459984 466944 472416 476656 492032 497798 509268 511252 513856 523032 525696 527744 530432 539904 544768 546231 566029 568912 584288 587264 594146 603136 610204 613312 624264 625611 629888 645792 666624 675583 679024 697376 700928 714984 719872 728308 738048 746697 761856 766878 770784 791616 795648 806341 817152 832352 834148 853368 861056 876432 880896 888832 891219 904704 909312 915306 919968 944832 953312 984064 995596 1018536 1022504 1027712 1046064 1051392 1055488 1060864 1079808 1089536 1092462 1102267 1132058 1137824 1168576 1174528 1188292 1206272 1220408 1226624 1248528 1251222 1259776 1291584 1315609 1333248 1351166 1358048 1394752 1401856 1429968 1439744 1456616 1476096 1493394 1533756 1541568 1583232 1591296 1612682 1634304 1664704 1668296 1698087 1706736 1722112 1752864 1761792 1777664 1782438 1809408 1830612 1839936 1889664 1906624 1968128 1991192 2026749 2037072 2045008 2055424 2092128 2102784 2110976 2121728 2159616 2184924 2204534 2264116 2275648 2337152 2349056 2376584 2412544 2419023 2440816 2453248 2497056 2502444 2519552 2583168 2631218 2666496 2702332 2716096 2789504 2803712 2859936 2879488 2913232 2952192 2986788 3067512 3083136 3166464 3182592 3225364 3268608 3306801 3329408 3336592 3396174 3413472 3444224 3505728 3523584 3564876 3618816 3661224 3679872 3779328 3813248 3936256 3946827 3962203 3982384 4053498 4074144 4090016 4110848 4184256 4205568 4221952 4319232 4369848 4409068 4528232 4551296 4674304 4698112 4729081 4753168 4825088 4838046 4881632 4906496 4994112 5004888 5039104 5166336 5262436 5332992 5404664 5432192 5579008 5607424 5644387 5719872 5758976 5826464 5904384 5973576 6135024 6166272 6332928 6365184 6450728 6613602 6658816 6673184 6792348 6826944 6888448 7011456 7047168 7129752 7237632 7322448 7359744 7558656 7626496 7715869 7872512 7893654 7924406 7964768 8106996 8148288 8180032 8221696 8368512 8411136 8443904 8638464 8739696 8818136 9056464 9102592 9209263 9348608 9396224 9458162 9506336 9676092 9763264 9812992 9988224 10009776 10078208 10332672 10524872 10809328 10864384 11158016 11214848 11288774 11439744 11652928 11808768 11886609 11947152 12270048 12332544 12665856 12901456 13227204 13317632 13346368 13584696 13653888 13776896 14022912 14094336 14187243 14259504 14475264 14644896 14719488 15117312 15252992 15431738 15787308 15848812 15929536 16213992 16296576 16360064 16443392 16737024 16822272 16887808 16933161 17276928 17479392 17636272 18112928 18205184 18418526 18697216 18916324 19012672 19352184 19526528 19625984 19976448 20019552 20156416 20665344 20943073 21049744 21618656 21728768 22316032 22577548 22879488 23147607 23305856 23617536 23773218 23894304 24540096 24665088 24996571 25331712 25802912 26454408 26635264 26692736 27169392 27307776 27553792 27627789 28045824 28188672 28374486 28519008 29289792 29438976 30234624 30505984 30863476 31574616 31697624 31859072 32427984 32593152 32720128 32886784 33474048 33644544 33775616 33866322 34958784 35272544 36225856 36410368 36837052 37394432 37832648 38025344 38704368 39053056 39251968 39952896 40039104 40312832 40783879 41330688 41886146 42099488 43237312 43457536 44632064 45155096 45758976 46295214 46611712 47546436 47788608 49080192 49330176 49993142 50663424 51605824 52908816 53270528 53385472 54338784 54615552 55107584 55255578 56091648 56748972 57038016 58579584 58877952 60469248 61011968 61726952 62829219 63149232 63395248 63718144 64855968 65186304 65440256 65773568 66948096 67732644 69917568 70545088 72451712 72820736 73674104 74788864 74989713 75665296 76050688 77408736 78106112 78503936 79905792 80078208 81567758 82661376 83772292 84198976 86474624 86915072 89264128 90310192 91517952 92590428 93223424 95092872 95577216 98160384 98660352 99986284 101326848 103211648 105817632 106541056 106770944 108677568 109231104 110511156 112183296 113497944 114076032 117159168 117755904 120938496 122023936 122351637 123453904 125658438 126298464 126790496 127436288 129711936 130372608 130880512 133896192 135465288 139835136 141090176 144903424 145641472 146601511 147348208 149577728 149979426 151330592 152101376 154817472 156212224 159811584 160156416 163135516 165322752 167544584 168397952 172949248 173830144 174975997 178528256 180620384 183035904 185180856 186446848 190185744 191154432 196320768 197320704 199972568 206423296 211635264 213082112 213541888 217355136 218462208 221022312 224366592 226995888 228152064 234318336 235511808 244047872 244703274 246907808 251316876 252596928 253580992 254872576 259423872 260745216 261761024 267792384 270930576 279670272 282180352 285487153 289806848 291282944 293203022 294696416 299958852 302661184 304202752 309634944 312424448 319623168 320312832 326271032 335089168 336795904 345898496 347660288 349951994 361240768 366071808 370361712 372893696 380371488 382308864 392641536 399945136 412846592 423270528 427083776 434710272 436924416 439804533 442044624 448733184 453991776 456304128 468636672 489406548 493815616 502633752 505193856 507161984 509745152 518847744 521490432 523522048 524927991 535584768 541861152 559340544 564360704 570974306 579613696 586406044 589392832 599917704 605322368 608405504 619269888 624848896 639246336 640625664 652542064 670178336 673591808 691796992 699903988 722481536 732143616 740723424 745787392 760742976 764617728 774893701 785283072 799890272 825693184 846541056 854167552 856461459 869420544 873848832 879609066 884089248 907983552 912608256 937273344 978813096 987631232 1005267504 1010387712 1014323968 1019490304 1037695488 1042980864 1047044096 1049855982 1083722304 1118681088 1128721408 1141948612 1159227392 1172812088 1178785664 1199835408 1210644736 1216811008 1238539776 1249697792 1281251328 1305084128 1340356672 1347183616 1383593984 1399807976 1444963072 1481446848 1491574784 1521485952 1529235456 1549787402 1570566144 1599780544 1651386368 1693082112 1708335104 1712922918 1738841088 1759218132 1768178496 1815967104 1825216512 1874546688 1957626192 1975262464 2010535008 2020775424 2028647936 2038980608 2075390976 2099711964 2167444608 2237362176 2257442816 2283897224 2318454784 2324681103 2345624176 2357571328 2399670816 2421289472 2433622016 2477079552 2562502656 2610168256 2680713344 2694367232 2767187968 2799615952 2889926144 2962893696 3042971904 3058470912 3099574804 3141132288 3199561088 3302772736 3386164224 3425845836 3477682176 3518436264 3536356992 3631934208 3650433024 3749093376 3915252384 3950524928 4021070016 4041550848 4057295872 4150781952 4199423928 4334889216 4474724352 4514885632 4567794448 4636909568 4649362206 4691248352 4715142656 4799341632 4842578944 4954159104 5125005312 5220336512 5361426688 5388734464 5424255907 5534375936 5599231904 5779852288 5925787392 6085943808 6116941824 6199149608 6399122176 6605545472 6772328448 6851691672 6955364352 7036872528 7072713984 7263868416 7300866048 7830504768 7901049856 8042140032 8083101696 8114591744 8301563904 8398847856 8669778432 9029771264 9135588896 9298724412 9382496704 9430285312 9598683264 9685157888 9908318208 10440673024 10722853376 10777468928 10848511814 11198463808 11559704576 11851574784 12171887616 12398299216 12798244352 13544656896 13703383344 13910728704 14073745056 14145427968 14527736832 15661009536 15802099712 16084280064 16166203392 16229183488 16272767721 16603127808 16797695712 17339556864 18271177792 18597448824 18764993408 18860570624 19197366528 19370315776 19816636416 20881346048 21445706752 21697023628 22396927616 23119409152 23703149568 24343775232 24796598432 25596488704 27089313792 27406766688 28147490112 28290855936 29055473664 31322019072 31604199424 32168560128 32332406784 32458366976 32545535442 33595391424 34679113728 36542355584 37194897648 37529986816 37721141248 38394733056 38740631552 41762692096 42891413504 43394047256 44793855232 46238818304 47406299136 48687550464 49593196864 51192977408 54813533376 56294980224 56581711872 58110947328 62644038144 63208398848 64337120256 65091070884 67190782848 69358227456 73084711168 74389795296 75059973632 75442282496 76789466112 83525384192 85782827008 86788094512 89587710464 94812598272 97375100928 99186393728 102385954816 109627066752 112589960448 113163423744 116221894656 125288076288 128674240512 130182141768 134381565696 138716454912 146169422336 148779590592 150119947264 153578932224 167050768384 171565654016 173576189024 179175420928 189625196544 198372787456 204771909632 219254133504 225179920896 226326847488 250576152576 257348481024 260364283536 268763131392 292338844672 297559181184 300239894528 307157864448 334101536768 347152378048 358350841856 396745574912 438508267008 450359841792 501152305152 514696962048 520728567072 537526262784 584677689344 595118362368 600479789056 614315728896 694304756096 716701683712 793491149824 877016534016 900719683584 1002304610304 1041457134144 1075052525568 1169355378688 1190236724736 1200959578112 1388609512192 1433403367424 1586982299648 1754033068032 1801439367168 2082914268288 2150105051136 2338710757376 2380473449472 2777219024384 3173964599296 3508066136064 3602878734336 4165828536576 4300210102272 4760946898944 5554438048768 6347929198592 7016132272128 8331657073152 9521893797888 11108876097536 16663314146304 19043787595776 22217752195072 33326628292608 44435504390144 66653256585216 133306513170432
• Sum of all divisors σ(n): 454142925250560
• Sum of proper divisors (its aliquot sum) s(n): 320836412080128
• 133306513170432 is an abundant number, because the sum of its proper divisors (320836412080128) is greater than itself. Its abundance is 187529898909696

Bases of 133306513170432

• Binary: 11110010011110111010111010111010010000000000000₂
• Hexadecimal: 0x793DD75D2000
• Base-36: 1B94602I2O

Squares and roots of 133306513170432

• 133306513170432 squared (133306513170432²) is 17770626453658560276279066624
• 133306513170432 cubed (133306513170432³) is 2368940249391462170781014731546915994861568
• The square root of 133306513170432 is 11545843.9782647331
• The cube root of 133306513170432 is 51083.8698392335

Scales and comparisons

• 133,306,513,170,432 seconds is equal to 4,238,734 years, 40 weeks, 1 day, 23 hours, 47 minutes, 12 seconds.
• To count from 1 to 133,306,513,170,432 would take you about ten million, five hundred ninety-six thousand, eight hundred thirty-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 133306513170432 cubic inches would be around 4257 feet tall.

Recreational maths with 133306513170432

• 133306513170432 backwards is 234071315603331
• 133306513170432 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 133306513170432's digits is 42
• More coming soon!