3978132751296

Names of 3978132751296

• Cardinal: 3978132751296 can be written as Three trillion, nine hundred seventy-eight billion, one hundred thirty-two million, seven hundred fifty-one thousand, two hundred ninety-six.

Scientific notation

• Scientific notation: 3.978132751296 × 10¹²

Factors of 3978132751296

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 92

Divisors of 3978132751296

• Number of divisors d(n): 1176
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 32 33 36 44 47 48 54 58 64 66 72 81 87 88 94 96 99 108 116 121 132 141 144 162 174 176 188 192 198 216 232 242 243 261 264 282 288 297 319 324 348 352 363 376 396 423 432 464 484 486 517 522 528 564 576 594 638 648 696 704 726 729 752 783 792 846 864 891 928 957 968 972 1034 1044 1056 1089 1128 1188 1269 1276 1296 1331 1363 1392 1452 1458 1504 1551 1566 1584 1692 1728 1782 1856 1914 1936 1944 2068 2088 2112 2178 2209 2256 2349 2376 2538 2552 2592 2662 2673 2726 2784 2871 2904 2916 3008 3102 3132 3168 3267 3384 3509 3564 3807 3828 3872 3888 3993 4089 4136 4176 4356 4418 4512 4653 4698 4752 5076 5104 5184 5324 5346 5452 5568 5687 5742 5808 5832 6204 6264 6336 6534 6627 6768 7018 7047 7128 7614 7656 7744 7776 7986 8019 8178 8272 8352 8613 8712 8836 9024 9306 9396 9504 9801 10152 10208 10527 10648 10692 10904 11374 11421 11484 11616 11664 11979 12267 12408 12528 13068 13254 13536 13959 14036 14094 14256 14993 15228 15312 15552 15972 16038 16356 16544 16704 17061 17226 17424 17672 18612 18792 19008 19602 19881 20304 20416 21054 21141 21296 21384 21808 22748 22842 22968 23232 23328 23958 24299 24534 24816 25056 25839 26136 26508 27072 27918 28072 28188 28512 29403 29986 30456 30624 31581 31944 32076 32712 33088 34122 34263 34452 34848 35344 35937 36801 37224 37584 38599 39204 39762 40608 41877 42108 42282 42592 42768 43616 44979 45496 45684 45936 46656 47916 48598 49068 49632 50112 51183 51678 52272 53016 55836 56144 56376 57024 58806 59643 59972 60912 61248 62557 63162 63888 64061 64152 65424 68244 68526 68904 69696 70688 71874 72897 73602 74448 75168 77198 77517 78408 79524 81216 83754 84216 84564 85184 85536 87232 88209 89958 90992 91368 91872 94743 95832 97196 98136 99264 102366 103356 104544 106032 107811 110403 111672 112288 112752 115797 117612 119286 119944 121824 125114 125631 126324 127776 128122 128304 130848 134937 136488 137052 137808 141376 143748 145794 147204 148896 150336 153549 154396 155034 156816 159048 164923 167508 168432 169128 171072 176418 178929 179916 181984 182736 183744 187671 189486 191664 192183 194392 196272 204732 206712 209088 212064 215622 218691 220806 223344 224576 225504 231594 232551 235224 238572 239888 243648 250228 251262 252648 255552 256244 256608 261696 267289 269874 272976 274104 275616 284229 287496 291588 294408 297792 307098 308792 310068 313632 318096 323433 329846 331209 335016 336864 338256 347391 352836 357858 359832 363968 365472 375342 376893 378972 383328 384366 388784 392544 404811 409464 413424 424128 431244 437382 441612 446688 451008 460647 463188 465102 470448 477144 479776 494769 500456 502524 505296 512488 513216 534578 536787 539748 545952 548208 551232 563013 568458 574992 576549 583176 588816 614196 617584 620136 627264 636192 646866 656073 659692 662418 670032 673728 676512 694782 704671 705672 715716 719664 730944 750684 753786 757944 766656 768732 777568 785088 801867 809622 818928 826848 852687 862488 874764 883224 893376 921294 926376 930204 940896 954288 959552 970299 989538 993627 1000912 1005048 1010592 1024976 1042173 1069156 1073574 1079496 1091904 1096416 1126026 1136916 1149984 1153098 1166352 1177632 1214433 1228392 1235168 1240272 1272384 1293732 1312146 1319384 1324836 1340064 1353024 1381941 1389564 1409342 1411344 1431432 1439328 1484307 1501368 1507572 1515888 1537464 1555136 1603734 1610361 1619244 1637856 1653696 1689039 1705374 1724976 1729647 1749528 1766448 1814153 1842588 1852752 1860408 1881792 1908576 1940598 1968219 1979076 1987254 2001824 2010096 2021184 2049952 2084346 2114013 2138312 2147148 2158992 2192832 2252052 2273832 2299968 2306196 2332704 2355264 2405601 2428866 2456784 2470336 2480544 2558061 2587464 2624292 2638768 2649672 2680128 2763882 2779128 2818684 2822688 2862864 2878656 2940179 2968614 3002736 3015144 3031776 3074928 3126519 3207468 3220722 3238488 3275712 3378078 3410748 3449952 3459294 3499056 3532896 3628306 3643299 3685176 3705504 3720816 3817152 3881196 3936438 3958152 3974508 4003648 4020192 4099904 4145823 4168692 4228026 4276624 4294296 4317984 4452921 4504104 4547664 4612392 4665408 4811202 4857732 4913568 4961088 5067117 5116122 5174928 5188941 5248584 5277536 5299344 5442459 5527764 5558256 5637368 5645376 5725728 5880358 5904657 5937228 6005472 6030288 6063552 6149856 6253038 6342039 6414936 6441444 6476976 6756156 6821496 6899904 6918588 6998112 7065792 7216803 7256612 7286598 7370352 7411008 7441632 7751381 7762392 7872876 7916304 7949016 8040384 8291646 8337384 8456052 8553248 8588592 8635968 8820537 8905842 9008208 9095328 9224784 9379557 9622404 9715464 9827136 10134234 10232244 10349856 10377882 10497168 10555072 10598688 10884918 10929897 11055528 11116512 11274736 11451456 11760716 11809314 11874456 12010944 12060576 12299712 12506076 12684078 12829872 12882888 12953952 13358763 13512312 13642992 13837176 13996224 14433606 14513224 14573196 14740704 14883264 15201351 15502762 15524784 15566823 15745752 15832608 15898032 16327377 16583292 16674768 16912104 17106496 17177184 17641074 17713971 17811684 18016416 18190656 18449568 18759114 19026117 19244808 19430928 20268468 20464488 20699712 20755764 20994336 21197376 21650409 21769836 21859794 22111056 22233024 22549472 23254143 23521432 23618628 23748912 24121152 25012152 25368156 25659744 25765776 25907904 26461611 26717526 27024624 27285984 27674352 28138671 28867212 29026448 29146392 29481408 30402702 31005524 31049568 31133646 31491504 31665216 31796064 32654754 33166584 33349536 33824208 34354368 35282148 35427942 35623368 36032832 36899136 37518228 38052234 38489616 38861856 40076289 40536936 40928976 41511528 41988672 43300818 43539672 43719588 44222112 45098944 45604053 46508286 46700469 47042864 47237256 47497824 48982131 50024304 50736312 51319488 51531552 52923222 53435052 54049248 54571968 55348704 56277342 57078351 57734424 58052896 58292784 60805404 62011048 62099136 62267292 62983008 63592128 64951227 65309508 66333168 66699072 67648416 69762429 70564296 70855884 71246736 75036456 76104468 76979232 77723712 79384833 80152578 81073872 81857952 83023056 85265191 86601636 87079344 87439176 88444224 91208106 93016572 93400938 94085728 94474512 94995648 97964262 100048608 101472624 103063104 105846444 106870104 108098496 110697408 112554684 114156702 115468848 116105792 116585568 120228867 121610808 124022096 124534584 125966016 129902454 130619016 132666336 135296832 139524858 141128592 141711768 142493472 146946393 150072912 152208936 153958464 158769666 160305156 162147744 163715904 166046112 170530382 171235053 173203272 174158688 174878352 182416212 186033144 186801876 188171456 188949024 194853681 195928524 200097216 202945248 209287287 211692888 213740208 225109368 228313404 230937696 233171136 238154499 240457734 243221616 248044192 249069168 255795573 259804908 261238032 265332672 279049716 282257184 283423536 284986944 293892786 300145824 304417872 317539332 320610312 324295488 332092224 341060764 342470106 346406544 348317376 349756704 364832424 372066288 373603752 377898048 389707362 391857048 405890496 418574574 423385776 427480416 440839179 450218736 456626808 461875392 476308998 480915468 486443232 496088384 498138336 511591146 513705159 519609816 522476064 558099432 564514368 566847072 587785572 600291648 608835744 627861861 635078664 641220624 682121528 684940212 692813088 699513408 714463497 729664848 744132576 747207504 767386719 779414724 783714096 837149148 846771552 854960832 881678358 900437472 913253616 952617996 961830936 972886464 996276672 1023182292 1027410318 1039219632 1044952128 1116198864 1133694144 1175571144 1217671488 1255723722 1270157328 1282441248 1322517537 1364243056 1369880424 1385626176 1428926994 1459329696 1488265152 1494415008 1534773438 1558829448 1567428192 1674298296 1693543104 1763356716 1800874944 1826507232 1883585583 1905235992 1923661872 2046364584 2054820636 2078439264 2143390491 2232397728 2302160157 2351142288 2511447444 2540314656 2564882496 2645035074 2728486112 2739760848 2857853988 2918659392 2988830016 3069546876 3117658896 3134856384 3348596592 3526713432 3653014464 3767171166 3810471984 3847323744 4092729168 4109641272 4156878528 4286780982 4464795456 4604320314 4702284576 5022894888 5080629312 5290070148 5456972224 5479521696 5650756749 5715707976 6139093752 6235317792 6697193184 6906480471 7053426864 7534342332 7620943968 7694647488 8185458336 8219282544 8573561964 9208640628 9404569152 10045789776 10580140296 10959043392 11301513498 11431415952 12278187504 12470635584 13394386368 13812960942 14106853728 15068684664 15241887936 16370916672 16438565088 17147123928 18417281256 20091579552 20719441413 21160280592 22603026996 22862831904 24556375008 27625921884 28213707456 30137369328 32877130176 34294247856 36834562512 40183159104 41438882826 42320561184 45206053992 45725663808 49112750016 55251843768 60274738656 62158324239 68588495712 73669125024 82877765652 84641122368 90412107984 110503687536 120549477312 124316648478 137176991424 147338250048 165755531304 180824215968 221007375072 248633296956 331511062608 361648431936 442014750144 497266593912 663022125216 994533187824 1326044250432 1989066375648 3978132751296
• Sum of all divisors σ(n): 13759979073840
• Sum of proper divisors (its aliquot sum) s(n): 9781846322544
• 3978132751296 is an abundant number, because the sum of its proper divisors (9781846322544) is greater than itself. Its abundance is 5803713571248

Bases of 3978132751296

• Binary: 111001111000111011001100001000001111000000₂
• Hexadecimal: 0x39E3B3083C0
• Base-36: 1ERJ1J000

Squares and roots of 3978132751296

• 3978132751296 squared (3978132751296²) is 15825540186933882589679616
• 3978132751296 cubed (3978132751296³) is 62956099724592700496925604253248782336
• The square root of 3978132751296 is 1994525.6958224429
• The cube root of 3978132751296 is 15845.0309019789

Scales and comparisons

• 3,978,132,751,296 seconds is equal to 126,492 years, 16 weeks, 3 days, 3 hours, 21 minutes, 36 seconds.
• To count from 1 to 3,978,132,751,296 would take you about three hundred sixteen thousand, two hundred thirty 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 3978132751296 cubic inches would be around 1320.4 feet tall.

Recreational maths with 3978132751296

• 3978132751296 backwards is 6921572318793
• The number of decimal digits it has is: 13
• The sum of 3978132751296's digits is 63
• More coming soon!