40834029330432
40,834,029,330,432 is an even composite number composed of six prime numbers multiplied together.
What does the number 40834029330432 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
40834029330432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 40834029330432:
213 × 32 × 132 × 23 × 37 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 23 × 37 × 3851)See below for interesting mathematical facts about the number 40834029330432 from the Numbermatics database.
Names of 40834029330432
- Cardinal: 40834029330432 can be written as Forty trillion, eight hundred thirty-four billion, twenty-nine million, three hundred thirty thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 4.0834029330432 × 1013
Factors of 40834029330432
Divisors of 40834029330432
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 37 39 46 48 52 64 69 72 74 78 92 96 104 111 117 128 138 144 148 156 169 184 192 207 208 222 234 256 276 288 296 299 312 333 338 368 384 414 416 444 468 481 507 512 552 576 592 598 624 666 676 736 768 828 832 851 888 897 936 962 1014 1024 1104 1152 1184 1196 1248 1332 1352 1443 1472 1521 1536 1656 1664 1702 1776 1794 1872 1924 2028 2048 2208 2304 2368 2392 2496 2553 2664 2691 2704 2886 2944 3042 3072 3312 3328 3404 3552 3588 3744 3848 3851 3887 4056 4096 4329 4416 4608 4736 4784 4992 5106 5328 5382 5408 5772 5888 6084 6144 6253 6624 6656 6808 7104 7176 7488 7659 7696 7702 7774 8112 8192 8658 8832 9216 9472 9568 9984 10212 10656 10764 10816 11063 11544 11553 11661 11776 12168 12288 12506 13248 13312 13616 14208 14352 14976 15318 15392 15404 15548 16224 17316 17664 18432 18759 18944 19136 19968 20424 21312 21528 21632 22126 23088 23106 23322 23552 24336 24576 25012 26496 26624 27232 28416 28704 29952 30636 30784 30808 31096 32448 33189 34632 34659 34983 35328 36864 37518 37888 38272 39936 40848 42624 43056 43264 44252 46176 46212 46644 47104 48672 50024 50063 52992 53248 54464 56277 56832 57408 59904 61272 61568 61616 62192 64896 66378 69264 69318 69966 70656 73728 75036 75776 76544 79872 81696 85248 86112 86528 88504 88573 92352 92424 93288 94208 97344 99567 100048 100126 105984 106496 108928 112554 113664 114816 119808 122544 123136 123232 124384 129792 132756 138528 138636 139932 141312 142487 143819 150072 150189 151552 153088 159744 163392 170496 172224 173056 177008 177146 184704 184848 186576 188416 194688 199134 200096 200252 211968 217856 225108 227328 229632 239616 245088 246272 246464 248768 259584 265512 265719 277056 277272 279864 282624 284974 287638 300144 300378 303104 306176 319488 326784 340992 344448 346112 354016 354292 369408 369696 373152 389376 398268 400192 400504 423936 427461 431457 435712 450216 450567 454656 459264 479232 490176 492544 492928 497536 519168 531024 531438 554112 554544 559728 565248 569948 575276 600288 600756 612352 650819 653568 681984 688896 692224 708032 708584 738816 739392 746304 778752 796536 797157 800384 801008 847872 854922 862914 871424 900432 901134 909312 918528 958464 980352 985088 985856 995072 1038336 1062048 1062876 1108224 1109088 1119456 1139896 1150552 1151449 1200576 1201512 1224704 1282383 1294371 1301638 1307136 1363968 1377792 1384448 1416064 1417168 1477632 1478784 1492608 1557504 1593072 1594314 1600768 1602016 1695744 1709844 1725828 1742848 1800864 1802268 1837056 1852331 1952457 1960704 1970176 1971712 1990144 2076672 2124096 2125752 2216448 2218176 2238912 2279792 2301104 2302898 2401152 2403024 2449408 2564766 2588742 2603276 2614272 2727936 2755584 2832128 2834336 2955264 2957568 2985216 3115008 3186144 3188628 3201536 3204032 3277201 3419688 3451656 3454347 3485696 3601728 3604536 3674112 3704662 3904914 3921408 3940352 3943424 3980288 4153344 4248192 4251504 4432896 4436352 4477824 4559584 4602208 4605796 4802304 4806048 5129532 5177484 5206552 5228544 5511168 5556993 5664256 5668672 5857371 5910528 5915136 5970432 6230016 6372288 6377256 6403072 6408064 6554402 6839376 6903312 6908694 6971392 7203456 7209072 7348224 7409324 7809828 7842816 7886848 7960576 8496384 8503008 8865792 8872704 8955648 9119168 9204416 9211592 9604608 9612096 9831603 10259064 10354968 10363041 10413104 10457088 11022336 11113986 11328512 11337344 11714742 11821056 11830272 11940864 12460032 12744576 12754512 12806144 12816128 13108804 13678752 13806624 13817388 14406912 14418144 14818648 14968837 15619656 15685632 15773696 15921152 16670979 16992768 17006016 17731584 17745408 17911296 18238336 18408832 18423184 19209216 19224192 19663206 20518128 20709936 20726082 20826208 20914176 22044672 22227972 22657024 22674688 23429484 23660544 23881728 24080303 25489152 25509024 25612288 25632256 26217608 27357504 27613248 27634776 28813824 28836288 29494809 29637296 29937674 31239312 31371264 31547392 31842304 33341958 33985536 34012032 35463168 35490816 35822592 36476672 36817664 36846368 38418432 38448384 39326412 41036256 41419872 41452164 41652416 42603613 44455944 44906511 45314048 45349376 46858968 47321088 47763456 48160606 50978304 51018048 51224576 51264512 52435216 54715008 55226496 55269552 57627648 57672576 58989618 59274592 59875348 62478624 62742528 66683916 67971072 68024064 70981632 71645184 72240909 72953344 73635328 73692736 76836864 76896768 78652824 82072512 82839744 82904328 83304832 85207226 88911888 89813022 90628096 90698752 93717936 94642176 95526912 96321212 101956608 102036096 102529024 104870432 109430016 110452992 110539104 115255296 115345152 117979236 118549184 119750696 124957248 127810839 133367832 134719533 135942144 136048128 141963264 143290368 144481818 145906688 147270656 147385472 153673728 153793536 157305648 164145024 165679488 165808656 166609664 170414452 177823776 179626044 181397504 187435872 192642424 203913216 204072192 205058048 209740864 216722727 218860032 220905984 221078208 230510592 230690304 235958472 237098368 239501392 249914496 255621678 266735664 269439066 271884288 272096256 283926528 286580736 288963636 291813376 294541312 294770944 307587072 314611296 328290048 331358976 331617312 333219328 340828904 355647552 359252088 362795008 374871744 383432517 385284848 407826432 408144384 410116096 419481728 433445454 437720064 441811968 442156416 461021184 461380608 471916944 474196736 479002784 499828992 511243356 533471328 538878132 544192512 553846969 577927272 583626752 589082624 589541888 615174144 629222592 656580096 662717952 663234624 666438656 681657808 711295104 718504176 725590016 749743488 766865034 770569696 815652864 816288768 838963456 866890908 875440128 883623936 884312832 922761216 943833888 948393472 958005568 999657984 1022486712 1066942656 1077756264 1088385024 1107693938 1155854544 1167253504 1178165248 1179083776 1230348288 1258445184 1313160192 1325435904 1326469248 1332877312 1363315616 1422590208 1437008352 1499486976 1533730068 1541139392 1632577536 1661540907 1677926912 1733781816 1750880256 1767247872 1768625664 1845522432 1887667776 1896786944 1916011136 1999315968 2044973424 2133885312 2155512528 2176770048 2215387876 2311709088 2358167552 2516890368 2626320384 2650871808 2652938496 2665754624 2726631232 2845180416 2874016704 2998973952 3067460136 3082278784 3265155072 3323081814 3355853824 3467563632 3501760512 3534495744 3537251328 3691044864 3775335552 3793573888 3832022272 3998631936 4089946848 4267770624 4311025056 4430775752 4623418176 4716335104 4984622721 5033780736 5252640768 5301743616 5305876992 5331509248 5453262464 5690360832 5748033408 5997947904 6134920272 6164557568 6530310144 6646163628 6711707648 6935127264 7074502656 7550671104 7587147776 7664044544 7997263872 8179893696 8535541248 8622050112 8861551504 9246836352 9432670208 9969245442 10067561472 10505281536 10603487232 10611753984 10906524928 11380721664 11496066816 11995895808 12269840544 12329115136 13292327256 13423415296 13870254528 14149005312 15101342208 15174295552 15328089088 15994527744 16359787392 17071082496 17244100224 17723103008 18493672704 19938490884 20135122944 21223507968 21813049856 22761443328 22992133632 23991791616 24539681088 24658230272 26584654512 26846830592 27740509056 28298010624 30202684416 30656178176 32719574784 34142164992 34488200448 35446206016 36987345408 39876981768 40270245888 42447015936 43626099712 45522886656 45984267264 47983583232 49079362176 49316460544 53169309024 55481018112 60405368832 61312356352 65439149568 68284329984 68976400896 70892412032 73974690816 79753963536 80540491776 84894031872 87252199424 91968534528 98158724352 98632921088 106338618048 110962036224 120810737664 122624712704 130878299136 136568659968 137952801792 141784824064 147949381632 159507927072 174504398848 183937069056 196317448704 197265842176 212677236096 221924072448 241621475328 261756598272 275905603584 283569648128 295898763264 319015854144 349008797696 367874138112 392634897408 425354472192 443848144896 523513196544 551811207168 567139296256 591797526528 638031708288 785269794816 850708944384 887696289792 1047026393088 1103622414336 1134278592512 1276063416576 1570539589632 1701417888768 1775392579584 2268557185024 2552126833152 3141079179264 3402835777536 4537114370048 5104253666304 6805671555072 10208507332608 13611343110144 20417014665216 40834029330432
- Sum of all divisors σ(n): 136920661944768
- Sum of proper divisors (its aliquot sum) s(n): 96086632614336
- 40834029330432 is an abundant number, because the sum of its proper divisors (96086632614336) is greater than itself. Its abundance is 55252603283904
Bases of 40834029330432
- Binary: 10010100100011011010011101000000100000000000002
- Hexadecimal: 0x252369D02000
- Base-36: EH2W6RCW0
Squares and roots of 40834029330432
- 40834029330432 squared (408340293304322) is 1667417951358580850241306624
- 40834029330432 cubed (408340293304323) is 68087393531865128340916759189243526381568
-
The
square root of 40834029330432 is 6390150.9630392927 -
The
cube root of 40834029330432 is 34435.5807854983
Scales and comparisons
How big is 40834029330432?- 40,834,029,330,432 seconds is equal to 1,298,395 years, 42 weeks, 6 days, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 40,834,029,330,432 would take you about three million, two hundred forty-five thousand, nine hundred eighty-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 40834029330432 cubic inches would be around 2869.6 feet tall.
Recreational maths with 40834029330432
- 40834029330432 backwards is 23403392043804
- The number of decimal digits it has is: 14
- The sum of 40834029330432's digits is 45
- More coming soon!
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The information we have on file for 40834029330432 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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