40826822130432
40,826,822,130,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 40826822130432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
40826822130432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 40826822130432:
28 × 32 × 13 × 192 × 31 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 19 × 31 × 349 × 349)See below for interesting mathematical facts about the number 40826822130432 from the Numbermatics database.
Names of 40826822130432
- Cardinal: 40826822130432 can be written as Forty trillion, eight hundred twenty-six billion, eight hundred twenty-two million, one hundred thirty thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.0826822130432 × 1013
Factors of 40826822130432
Divisors of 40826822130432
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 31 32 36 38 39 48 52 57 62 64 72 76 78 93 96 104 114 117 124 128 144 152 156 171 186 192 208 228 234 247 248 256 279 288 304 312 342 349 361 372 384 403 416 456 468 494 496 558 576 589 608 624 684 698 722 741 744 768 806 832 912 936 988 992 1047 1083 1116 1152 1178 1209 1216 1248 1368 1396 1444 1482 1488 1612 1664 1767 1824 1872 1976 1984 2094 2166 2223 2232 2304 2356 2418 2432 2496 2736 2792 2888 2964 2976 3141 3224 3249 3328 3534 3627 3648 3744 3952 3968 4188 4332 4446 4464 4537 4693 4712 4836 4864 4992 5301 5472 5584 5776 5928 5952 6282 6448 6498 6631 7068 7254 7296 7488 7657 7904 7936 8376 8664 8892 8928 9074 9386 9424 9672 9984 10602 10819 10944 11168 11191 11552 11856 11904 12564 12896 12996 13262 13611 14079 14136 14508 14592 14976 15314 15808 16752 17328 17784 17856 18148 18772 18848 19344 19893 21204 21638 21888 22336 22382 22971 23104 23712 23808 25128 25792 25992 26524 27222 28158 28272 29016 29952 30628 31616 32457 33504 33573 34656 35568 35712 36296 37544 37696 38688 39786 40833 42237 42408 43276 43776 44672 44764 45942 46208 47424 50256 51584 51984 53048 54444 56316 56544 58032 59679 61256 63232 64914 67008 67146 68913 69312 71136 71424 72592 75088 75392 77376 79572 81666 84474 84816 86203 86552 89344 89528 91884 92416 94848 97371 100512 100719 103168 103968 106096 108888 112632 113088 116064 119358 121801 122512 125989 129828 134016 134292 137826 138624 140647 142272 145184 145483 150176 150784 154752 159144 163332 168948 169632 172406 173104 179056 183768 189696 194742 201024 201438 205561 207936 212192 217776 225264 226176 232128 238716 243602 245024 251978 258609 259656 268032 268584 275652 277248 281294 284544 290368 290966 300352 309504 318288 326664 337896 339264 344812 346208 358112 365403 367536 377967 389484 402048 402876 411122 415872 421941 424384 435552 436449 450528 452352 464256 477432 487204 490048 503956 517218 519312 537168 551304 562588 569088 580736 581932 600704 616683 636576 653328 675792 678528 689624 692416 716224 730806 735072 755934 775827 778968 804096 805752 822244 831744 843882 848768 871104 872898 901056 928512 954864 974408 980096 1007912 1034436 1038624 1074336 1096209 1102608 1125176 1133901 1161472 1163864 1201408 1233366 1265823 1273152 1306656 1309347 1351584 1357056 1379248 1384832 1432448 1461612 1470144 1511868 1551654 1557936 1583413 1611504 1637857 1644488 1687764 1697536 1742208 1745796 1802112 1850049 1909728 1948816 1960192 2015824 2068872 2077248 2148672 2192418 2205216 2250352 2267802 2314219 2327728 2466732 2531646 2546304 2613312 2618694 2672293 2703168 2758496 2769664 2864896 2923224 2940288 3023736 3103308 3115872 3166826 3223008 3275714 3288976 3375528 3484416 3491592 3604224 3700098 3775831 3819456 3897632 3905659 4031648 4137744 4154496 4297344 4384836 4410432 4500704 4535604 4628438 4655456 4750239 4913571 4933464 5063292 5092608 5226624 5237388 5344586 5406336 5516992 5846448 5880576 6047472 6206616 6231744 6333652 6446016 6551428 6577952 6751056 6942657 6983184 7400196 7551662 7638912 7795264 7811318 8016879 8063296 8275488 8308992 8594688 8769672 8820864 9001408 9071208 9256876 9310912 9500478 9827142 9866928 10126584 10453248 10474776 10689172 10812672 11033984 11327493 11692896 11716977 12094944 12413232 12463488 12667304 12892032 13102856 13155904 13502112 13885314 13966368 14250717 14740713 14800392 15103324 15277824 15590528 15622636 16033758 16126592 16550976 17539344 17641728 18002816 18142416 18513752 18621824 19000956 19654284 19733856 20253168 20827971 20949552 21378344 22067968 22654986 23385792 23433954 24050637 24189888 24826464 24926976 25334608 25784064 26205712 26311808 27004224 27770628 27932736 28501434 29481426 29600784 30084847 30206648 31181056 31245272 32067516 32253184 33101952 33982479 35078688 35150931 36005632 36284832 37027504 37243648 38001912 39308568 39467712 40506336 41655942 41899104 42756688 43970161 45309972 46771584 46867908 48101274 48379776 49085803 49652928 50669216 50773567 52411424 52623616 54008448 55541256 55865472 57002868 58962852 59201568 60169694 60413296 62490544 64135032 66203904 67964958 70157376 70301862 71740789 72569664 74055008 76003824 78617136 78935424 81012672 83311884 83798208 85513376 87940322 90254541 90619944 93543168 93735816 96202548 96759552 98171606 99305856 101338432 101547134 104822848 108016896 111082512 111730944 114005736 117925704 118403136 120339388 120826592 124981088 128270064 131910483 135929916 140314752 140603724 143481578 145139328 147257409 148110016 152007648 152320701 157234272 157870848 162025344 166623768 167596416 171026752 175880644 180509082 181239888 187471632 192405096 196343212 198611712 202676864 203094268 209645696 215222367 222165024 228011472 235851408 236806272 240678776 241653184 249962176 256540128 263820966 270763623 271859832 280629504 281207448 286963156 290278656 294514818 296220032 304015296 304641402 314468544 324050688 333247536 335192832 342053504 351761288 361018164 362479776 374943264 384810192 392686424 395731449 405353728 406188536 419291392 430444734 441772227 444330048 456022944 456962103 471702816 473612544 481357552 483306368 499924352 513080256 527641932 541527246 543719664 562414896 571612093 573926312 589029636 592440064 608030592 609282804 628937088 645667101 666495072 684107008 703522576 722036328 724959552 749886528 769620384 785372848 791462898 812377072 860889468 883544454 888660096 912045888 913924206 932630257 943405632 962715104 966612736 999848704 1026160512 1055283864 1083054492 1087439328 1124829792 1143224186 1147852624 1178059272 1216061184 1218565608 1257874176 1291334202 1332990144 1363074991 1407045152 1444072656 1449919104 1499773056 1539240768 1570745696 1582925796 1624754144 1714836279 1721778936 1767088908 1777320192 1824091776 1827848412 1865260514 1886811264 1925430208 2052321024 2110567728 2166108984 2174878656 2249659584 2286448372 2295705248 2356118544 2437131216 2582668404 2665980288 2726149982 2797890771 2814090304 2888145312 2899838208 2999546112 3078481536 3141491392 3165851592 3249508288 3429672558 3443557872 3534177816 3648183552 3655696824 3730521028 3773622528 3850860416 4089224973 4221135456 4332217968 4349757312 4499319168 4572896744 4591410496 4712237088 4874262432 5144508837 5165336808 5331960576 5452299964 5595781542 5628180608 5776290624 6156963072 6282982784 6331703184 6499016576 6859345116 6887115744 7068355632 7311393648 7461042056 7701720832 8178449946 8393672313 8442270912 8664435936 8699514624 8998638336 9145793488 9182820992 9424474176 9748524864 10289017674 10330673616 10904599928 11191563084 11256361216 11552581248 12267674919 12565965568 12663406368 12998033152 13718690232 13774231488 14136711264 14622787296 14922084112 16356899892 16787344626 16884541824 17328871872 17719974883 18291586976 18365641984 18848948352 19497049728 20578035348 20661347232 21809199856 22383126168 23105162496 24535349838 25326812736 27437380464 27548462976 28273422528 29245574592 29844168224 32713799784 33574689252 33769083648 34657743744 35439949766 36583173952 37697896704 38994099456 41156070696 41322694464 43618399712 44766252336 49070699676 50653625472 53159924649 54874760928 55096925952 56546845056 58491149184 59688336448 65427599568 67149378504 69315487488 70879899532 73166347904 82312141392 82645388928 87236799424 89532504672 98141399352 101307250944 106319849298 109749521856 113093690112 116982298368 119376672896 130855199136 134298757008 141759799064 146332695808 159479773947 164624282784 165290777856 174473598848 179065009344 196282798704 212639698596 219499043712 238753345792 261710398272 268597514016 283519598128 318959547894 329248565568 348947197696 358130018688 392565597408 425279397192 438998087424 523420796544 537195028032 567039196256 637919095788 658497131136 716260037376 785131194816 850558794384 1046841593088 1074390056064 1134078392512 1275838191576 1316994262272 1570262389632 1701117588768 2148780112128 2268156785024 2551676383152 3140524779264 3402235177536 4536313570048 5103352766304 6804470355072 10206705532608 13608940710144 20413411065216 40826822130432
- Sum of all divisors σ(n): 138504622785984
- Sum of proper divisors (its aliquot sum) s(n): 97677800655552
- 40826822130432 is an abundant number, because the sum of its proper divisors (97677800655552) is greater than itself. Its abundance is 56850978525120
Bases of 40826822130432
- Binary: 10010100100001101111000011101011111011000000002
- Hexadecimal: 0x2521BC3AFB00
- Base-36: EGZKZS1S0
Squares and roots of 40826822130432
- 40826822130432 squared (408268221304322) is 1666829405269932111220506624
- 40826822130432 cubed (408268221304323) is 68051347650729273245051611818582047981568
-
The
square root of 40826822130432 is 6389587.0078145113 -
The
cube root of 40826822130432 is 34433.5547080263
Scales and comparisons
How big is 40826822130432?- 40,826,822,130,432 seconds is equal to 1,298,166 years, 34 weeks, 1 day, 13 hours, 7 minutes, 12 seconds.
-
To count from 1 to 40,826,822,130,432 would take you about three million, two hundred forty-five thousand, four hundred sixteen 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 40826822130432 cubic inches would be around 2869.5 feet tall.
Recreational maths with 40826822130432
- 40826822130432 backwards is 23403122862804
- The number of decimal digits it has is: 14
- The sum of 40826822130432's digits is 45
- More coming soon!
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The information we have on file for 40826822130432 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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