42400515412992
42,400,515,412,992 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42400515412992 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
42400515412992 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 42400515412992:
210 × 3 × 112 × 19 × 41 × 181 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 41 × 181 × 809)See below for interesting mathematical facts about the number 42400515412992 from the Numbermatics database.
Names of 42400515412992
- Cardinal: 42400515412992 can be written as Forty-two trillion, four hundred billion, five hundred fifteen million, four hundred twelve thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.2400515412992 × 1013
Factors of 42400515412992
Divisors of 42400515412992
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 41 44 48 57 64 66 76 82 88 96 114 121 123 128 132 152 164 176 181 192 209 228 242 246 256 264 304 328 352 362 363 384 418 451 456 484 492 512 528 543 608 627 656 704 724 726 768 779 809 836 902 912 968 984 1024 1056 1086 1216 1254 1312 1353 1408 1448 1452 1536 1558 1618 1672 1804 1824 1936 1968 1991 2112 2172 2299 2337 2427 2432 2508 2624 2706 2816 2896 2904 3072 3116 3236 3344 3439 3608 3648 3872 3936 3982 4224 4344 4598 4674 4854 4864 4961 5016 5248 5412 5632 5792 5808 5973 6232 6472 6688 6878 6897 7216 7296 7421 7744 7872 7964 8448 8569 8688 8899 9196 9348 9708 9728 9922 10032 10317 10496 10824 11264 11584 11616 11946 12464 12944 13376 13756 13794 14432 14592 14842 14883 15371 15488 15744 15928 16896 17138 17376 17798 18392 18696 19416 19456 19844 20064 20634 20992 21648 21901 22263 23168 23232 23892 24928 25707 25888 26697 26752 27512 27588 28864 29184 29684 29766 30742 30976 31488 31856 33169 33792 34276 34752 35596 36784 37392 37829 38832 39688 40128 41268 41984 43296 43802 44526 46113 46336 46464 47784 49856 51414 51776 53394 53504 55024 55176 57728 58368 59368 59532 61484 61952 62976 63712 65703 66338 68552 69504 71192 73568 74784 75658 77664 79376 80256 81631 82536 86592 87604 89052 92226 92672 92928 94259 95568 97889 99507 99712 102828 103552 106788 107008 110048 110352 113487 115456 118736 119064 122968 123904 125952 127424 131406 132676 137104 139008 140999 142384 146429 147136 149568 151316 155328 158752 160512 163262 165072 169081 173184 175208 178104 184452 185344 185856 188518 191136 195778 199014 199424 205656 207104 213576 214016 220096 220704 226974 230912 237472 238128 244893 245936 254848 262812 265352 274208 278016 281998 282777 284768 292858 293667 294272 299136 302632 310656 317504 321024 326524 330144 338162 346368 350416 356208 364859 368904 371712 377036 382272 391556 398028 398848 411312 414208 416119 422997 427152 439287 440192 441408 453948 461824 474944 476256 489786 491872 507243 509696 525624 530704 548416 556032 563996 565554 569536 585716 587334 588544 598272 605264 621312 630211 635008 642048 653048 660288 676324 692736 700832 712416 729718 737808 754072 764544 783112 796056 797696 822624 828416 832238 845994 854304 878574 880384 882816 897941 907896 949888 952512 979572 983744 1014486 1019392 1051248 1061408 1094577 1096832 1127992 1131108 1139072 1171432 1174668 1177088 1196544 1210528 1242624 1248357 1260422 1270016 1306096 1320576 1352648 1385472 1401664 1424832 1459436 1475616 1508144 1529088 1550989 1566224 1592112 1610719 1645248 1664476 1691988 1708608 1757148 1760768 1765632 1795882 1815792 1859891 1890633 1899776 1905024 1959144 1967488 2028972 2038784 2102496 2122816 2189154 2193664 2255984 2262216 2278144 2342864 2349336 2354176 2393088 2421056 2485248 2496714 2520844 2540032 2612192 2641152 2693823 2705296 2782151 2803328 2849664 2918872 2951232 3016288 3058176 3101978 3132448 3184224 3221438 3290496 3328952 3383976 3417216 3514296 3521536 3531264 3591764 3631584 3719782 3781266 3799552 3810048 3918288 3934976 4013449 4057944 4204992 4245632 4378308 4387328 4511968 4524432 4556288 4652967 4685728 4698672 4832157 4842112 4993428 5041688 5080064 5224384 5282304 5387646 5410592 5564302 5579673 5606656 5699328 5837744 5902464 6003589 6032576 6116352 6203956 6264896 6368448 6442876 6580992 6657904 6767952 6834432 6932321 7028592 7062528 7183528 7263168 7439564 7562532 7599104 7620096 7836576 7869952 8026898 8115888 8346453 8409984 8491264 8756616 8774656 9023936 9048864 9112576 9305934 9371456 9397344 9664314 9684224 9986856 10083376 10448768 10564608 10775292 10821184 11128604 11159346 11213312 11398656 11675488 11804928 12007178 12040347 12065152 12407912 12529792 12736896 12885752 13161984 13315808 13535904 13668864 13864642 14057184 14367056 14526336 14879128 15125064 15240192 15673152 15739904 16053796 16231776 16692906 16819968 16982528 17060879 17513232 17717909 18010767 18047872 18097728 18611868 18742912 18794688 19328628 19368448 19973712 20166752 20796963 20897536 21550584 21642368 22257208 22318692 22426624 22797312 23350976 23609856 24014356 24080694 24130304 24815824 25059584 25473792 25771504 26323968 26631616 27071808 27337728 27729284 28114368 28734112 29052672 29758256 30250128 30603661 31346304 32107592 32463552 33385812 33639936 33965056 34121758 35026464 35435818 36021534 36095744 36195456 37223736 37485824 37589376 38657256 38736896 39947424 40333504 41593926 41795072 43101168 43284736 44514416 44637384 46701952 47219712 48028712 48161388 48260608 49631648 50119168 50947584 51182637 51543008 53153727 53263232 54143616 55458568 56228736 57468224 58105344 59516512 60500256 61207322 62692608 64215184 64927104 66039479 66771624 67279872 68243516 70052928 70871636 72043068 72191488 72390912 74447472 74971648 75178752 76255531 77314512 79894848 80667008 83187852 83590144 86202336 86569472 89028832 89274768 91810983 93403904 96057424 96322776 96521216 99263296 100238336 101895168 102365274 103086016 106307454 106526464 108287232 110917136 112457472 114068191 114936448 116210688 119033024 121000512 122414644 125385216 128430368 129854208 132078958 133543248 136487032 140105856 141743272 144086136 144382976 144781824 148894944 149943296 150357504 152511062 154629024 159789696 161334016 166375704 172404672 173138944 178057664 178549536 183621966 186807808 192114848 192645552 198118437 198526592 204730548 206172032 212614908 213052928 216574464 221834272 224914944 228136382 228766593 229872896 238066048 242001024 244829288 250770432 256860736 259708416 264157916 267086496 272974064 280211712 283486544 288172272 289563648 297789888 300715008 305022124 309258048 319579392 322668032 332751408 336640271 342204573 344809344 356115328 357099072 367243932 373615616 384229696 385291104 396236874 397053184 409461096 412344064 425229816 426105856 433148928 443668544 449829888 456272764 457533186 459745792 476132096 484002048 489658576 513721472 519416832 528315832 534172992 545948128 560423424 566973088 576344544 595579776 610044248 618516096 639158784 645336064 665502816 673280542 684409146 689618688 712230656 714198144 726434269 734487864 768459392 770582208 792473748 794106368 818922192 824688128 850459632 887337088 912545528 915066372 919491584 952264192 968004096 979317152 1009920813 1027442944 1056631664 1068345984 1091896256 1120846848 1133946176 1152689088 1191159552 1220088496 1237032192 1254750101 1278317568 1331005632 1346561084 1368818292 1379237376 1424461312 1428396288 1452868538 1468975728 1536918784 1541164416 1584947496 1588212736 1637844384 1649376256 1700919264 1774674176 1825091056 1830132744 1904528384 1936008192 1958634304 2019841626 2054885888 2113263328 2136691968 2179302807 2183792512 2267892352 2305378176 2382319104 2440176992 2474064384 2509500202 2662011264 2693122168 2737636584 2758474752 2848922624 2856792576 2905737076 2937951456 3073837568 3082328832 3169894992 3275688768 3401838528 3549348352 3650182112 3660265488 3764250303 3917268608 4039683252 4109771776 4226526656 4273383936 4358605614 4367585024 4535784704 4610756352 4764638208 4880353984 4948128768 5019000404 5324022528 5386244336 5475273168 5713585152 5811474152 5875902912 6147675136 6164657664 6339789984 6551377536 6803677056 7098696704 7300364224 7320530976 7528500606 7834537216 8079366504 8453053312 8546767872 8717211228 8735170048 9071569408 9221512704 9760707968 10038000808 10648045056 10772488672 10950546336 11622948304 11751805824 12329315328 12679579968 13102755072 13607354112 13802251111 14600728448 14641061952 15057001212 15669074432 16158733008 16906106624 17434422456 17470340096 18143138816 18443025408 19521415936 20076001616 21296090112 21544977344 21901092672 23245896608 23503611648 25359159936 26205510144 27214708224 27604502222 29201456896 29282123904 30114002424 31338148864 32317466016 33812213248 34868844912 39042831872 40152003232 41406753333 43089954688 43802185344 46491793216 47007223296 50718319872 52411020288 54429416448 55209004444 58402913792 58564247808 60228004848 64634932032 67624426496 69737689824 78085663744 80304006464 82813506666 86179909376 87604370688 92983586432 94014446592 101436639744 110418008888 116805827584 117128495616 120456009696 129269864064 139475379648 160608012928 165627013332 172359818752 175208741376 185967172864 202873279488 220836017776 234256991232 240912019392 258539728128 278950759296 321216025856 331254026664 344719637504 350417482752 371934345728 441672035552 481824038784 517079456256 557901518592 642432051712 662508053328 743868691456 883344071104 963648077568 1034158912512 1115803037184 1284864103424 1325016106656 1766688142208 1927296155136 2231606074368 2650032213312 3533376284416 3854592310272 5300064426624 7066752568832 10600128853248 14133505137664 21200257706496 42400515412992
- Sum of all divisors σ(n): 134854414531200
- Sum of proper divisors (its aliquot sum) s(n): 92453899118208
- 42400515412992 is an abundant number, because the sum of its proper divisors (92453899118208) is greater than itself. Its abundance is 50053383705216
Bases of 42400515412992
- Binary: 10011010010000001000111010100011010100000000002
- Hexadecimal: 0x269023A8D400
- Base-36: F12J04LXC
Squares and roots of 42400515412992
- 42400515412992 squared (424005154129922) is 1797803707287372152322392064
- 42400515412992 cubed (424005154129923) is 76227803800372380935154269477442303295488
-
The
square root of 42400515412992 is 6511567.8152801267 -
The
cube root of 42400515412992 is 34870.4093186701
Scales and comparisons
How big is 42400515412992?- 42,400,515,412,992 seconds is equal to 1,348,205 years, 12 weeks, 2 days, 4 hours, 3 minutes, 12 seconds.
-
To count from 1 to 42,400,515,412,992 would take you about three million, three hundred seventy thousand, five hundred thirteen 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 42400515412992 cubic inches would be around 2905.9 feet tall.
Recreational maths with 42400515412992
- 42400515412992 backwards is 29921451500424
- 42400515412992 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42400515412992's digits is 48
- More coming soon!
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The information we have on file for 42400515412992 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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