4001008048128
4,001,008,048,128 is an even composite number composed of five prime numbers multiplied together.
4001008048128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 4001008048128:
211 × 36 × 73 × 13 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 601)See below for interesting mathematical facts about the number 4001008048128 from the Numbermatics database.
Names of 4001008048128
- Cardinal: 4001008048128 can be written as Four trillion, one billion, eight million, forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.001008048128 × 1012
Factors of 4001008048128
Divisors of 4001008048128
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 156 162 168 182 189 192 196 208 216 224 234 243 252 256 273 288 294 312 324 336 343 351 364 378 384 392 416 432 441 448 468 486 504 512 546 567 576 588 601 624 637 648 672 686 702 728 729 756 768 784 819 832 864 882 896 936 972 1008 1024 1029 1053 1092 1134 1152 1176 1202 1248 1274 1296 1323 1344 1372 1404 1456 1458 1512 1536 1568 1638 1664 1701 1728 1764 1792 1803 1872 1911 1944 2016 2048 2058 2106 2184 2268 2304 2352 2404 2457 2496 2548 2592 2646 2688 2744 2808 2912 2916 3024 3072 3087 3136 3159 3276 3328 3402 3456 3528 3584 3606 3744 3822 3888 3969 4032 4116 4207 4212 4368 4459 4536 4608 4704 4808 4914 4992 5096 5103 5184 5292 5376 5409 5488 5616 5733 5824 5832 6048 6144 6174 6272 6318 6552 6656 6804 6912 7056 7168 7212 7371 7488 7644 7776 7813 7938 8064 8232 8414 8424 8736 8918 9072 9216 9261 9408 9477 9616 9828 9984 10192 10206 10368 10584 10752 10818 10976 11232 11466 11648 11664 11907 12096 12348 12544 12621 12636 13104 13312 13377 13608 13824 14112 14336 14424 14742 14976 15288 15552 15626 15876 16128 16227 16464 16828 16848 17199 17472 17836 18144 18432 18522 18816 18954 19232 19656 19968 20384 20412 20736 21168 21504 21636 21952 22113 22464 22932 23296 23328 23439 23814 24192 24696 25088 25242 25272 26208 26624 26754 27216 27648 27783 28224 28848 29449 29484 29952 30576 31104 31252 31752 32256 32454 32928 33656 33696 34398 34944 35672 35721 36288 37044 37632 37863 37908 38464 39312 39936 40131 40768 40824 41472 42336 43008 43272 43904 44226 44928 45864 46592 46656 46878 47628 48384 48681 49392 50176 50484 50544 51597 52416 53508 54432 54691 55296 55566 56448 57696 58898 58968 59904 61152 62208 62504 63504 64512 64908 65856 66339 67312 67392 68796 69888 70317 71344 71442 72576 74088 75264 75726 75816 76928 78624 79872 80262 81536 81648 82944 83349 84672 86544 87808 88347 88452 89856 91728 93184 93312 93756 95256 96768 97362 98784 100352 100968 101088 103194 104832 107016 108864 109382 111132 112896 113589 115392 117796 117936 119808 120393 122304 124416 125008 127008 129024 129816 131712 132678 134624 134784 137592 139776 140634 142688 142884 145152 146043 148176 150528 151452 151632 153856 154791 157248 160524 163072 163296 164073 165888 166698 169344 173088 175616 176694 176904 179712 183456 186368 186624 187512 190512 193536 194724 197568 201936 202176 206143 206388 209664 210951 214032 217728 218764 222264 225792 227178 230784 235592 235872 239616 240786 244608 248832 250016 250047 254016 259632 263424 265041 265356 269248 269568 275184 279552 281268 285376 285768 290304 292086 296352 301056 302904 303264 307712 309582 314496 321048 326144 326592 328146 333396 338688 340767 346176 351232 353388 353808 359424 361179 366912 373248 375024 381024 382837 387072 389448 395136 403872 404352 412286 412776 419328 421902 428064 435456 437528 438129 444528 451584 454356 461568 464373 471184 471744 481572 489216 492219 497664 500032 500094 508032 519264 526848 530082 530712 538496 539136 550368 559104 562536 570752 571536 580608 584172 592704 605808 606528 615424 618429 619164 628992 632853 642096 652288 653184 656292 666792 677376 681534 692352 702464 706776 707616 718848 722358 733824 746496 750048 762048 765674 778896 790272 795123 807744 808704 824572 825552 838656 843804 856128 870912 875056 876258 889056 903168 908712 923136 928746 942368 943488 963144 978432 984438 1000064 1000188 1016064 1022301 1038528 1053696 1060164 1061424 1076992 1078272 1083537 1100736 1125072 1141504 1143072 1148511 1161216 1168344 1185408 1211616 1213056 1230848 1236858 1238328 1257984 1265706 1284192 1304576 1306368 1312584 1333584 1354752 1363068 1384704 1413552 1415232 1444716 1467648 1476657 1492992 1500096 1524096 1531348 1557792 1580544 1590246 1615488 1617408 1649144 1651104 1677312 1687608 1712256 1741824 1750112 1752516 1778112 1817424 1846272 1855287 1857492 1884736 1886976 1898559 1926288 1956864 1968876 2000128 2000376 2032128 2044602 2077056 2107392 2120328 2122848 2153984 2156544 2167074 2201472 2250144 2283008 2286144 2297022 2336688 2370816 2385369 2423232 2426112 2473716 2476656 2515968 2531412 2568384 2612736 2625168 2667168 2679859 2709504 2726136 2769408 2827104 2830464 2889432 2935296 2953314 3000192 3048192 3062696 3066903 3115584 3161088 3180492 3230976 3234816 3250611 3298288 3302208 3375216 3424512 3445533 3483648 3500224 3505032 3556224 3634848 3692544 3710574 3714984 3769472 3773952 3797118 3852576 3913728 3937752 4000256 4000752 4064256 4089204 4154112 4240656 4245696 4307968 4334148 4402944 4429971 4500288 4566016 4572288 4594044 4673376 4741632 4770738 4846464 4852224 4947432 4953312 5031936 5062824 5136768 5225472 5250336 5334336 5359718 5452272 5538816 5565861 5654208 5660928 5695677 5778864 5870592 5906628 6000384 6096384 6125392 6133806 6231168 6322176 6360984 6461952 6469632 6501222 6596576 6604416 6750432 6849024 6891066 7000448 7010064 7112448 7156107 7269696 7421148 7429968 7538944 7547904 7594236 7705152 7875504 8000512 8001504 8039577 8128512 8178408 8308224 8481312 8491392 8615936 8668296 8805888 8859942 9000576 9132032 9144576 9188088 9346752 9483264 9541476 9692928 9704448 9894864 9906624 10125648 10273536 10336599 10450944 10500672 10668672 10719436 10904544 11077632 11131722 11308416 11321856 11391354 11557728 11741184 11813256 12000768 12192768 12250784 12267612 12462336 12721968 12923904 13002444 13193152 13208832 13289913 13500864 13698048 13782132 14000896 14020128 14224896 14312214 14539392 14842296 14859936 15077888 15095808 15188472 15410304 15751008 16001024 16003008 16079154 16356816 16616448 16697583 16962624 16982784 17336592 17611776 17719884 18001152 18289152 18376176 18693504 18966528 19082952 19385856 19408896 19789728 19813248 20251296 20547072 20673198 21001344 21337344 21438872 21468321 21809088 22263444 22616832 22643712 22782708 23115456 23626512 24001536 24118731 24385536 24501568 24535224 24924672 25443936 25847808 26004888 26386304 26417664 26579826 27001728 27396096 27564264 28001792 28040256 28449792 28624428 29078784 29684592 29719872 30155776 30376944 30820608 31009797 31502016 32006016 32158308 32713632 33232896 33395166 33925248 33965568 34673184 35223552 35439768 36002304 36578304 36752352 37387008 38165904 38771712 39579456 39626496 39869739 40502592 41094144 41346396 42002688 42674688 42877744 42936642 43618176 44526888 45233664 45287424 45565416 46230912 47253024 48003072 48237462 49003136 49070448 49849344 50092749 50887872 52009776 52772608 52835328 53159652 54003456 55128528 56003584 56080512 56899584 57248856 58157568 59369184 59439744 60311552 60753888 61641216 62019594 63004032 64012032 64316616 65427264 66790332 67850496 67931136 69346368 70879536 72004608 72356193 73156608 73504704 74774016 76331808 77543424 79158912 79252992 79739478 81005184 82188288 82692792 84005376 85349376 85755488 85873284 87236352 89053776 90467328 91130832 92461824 93029391 94506048 96474924 98006272 98140896 99698688 100185498 101775744 104019552 105545216 105670656 106319304 108006912 110257056 112007168 112161024 114497712 116315136 118738368 118879488 121507776 123282432 124039188 126008064 128024064 128633232 130854528 133580664 135700992 135862272 138692736 141759072 144009216 144712386 147009408 149548032 150278247 152663616 158317824 158505984 159478956 162010368 165385584 168010752 170698752 171510976 171746568 174472704 178107552 180934656 182261664 184923648 186058782 189012096 192949848 196012544 196281792 200370996 203551488 208039104 211090432 212638608 216013824 217068579 220514112 224322048 228995424 232630272 237476736 237758976 243015552 246564864 248078376 252016128 256048128 257266464 261709056 267161328 271401984 277385472 279088173 283518144 289424772 294018816 299096064 300556494 305327232 316635648 317011968 318957912 324020736 330771168 336021504 343021952 343493136 348945408 356215104 364523328 369847296 372117564 378024192 385899696 392025088 392563584 400741992 407102976 416078208 422180864 425277216 432027648 434137158 441028224 448644096 457990848 474953472 475517952 486031104 496156752 504032256 512096256 514532928 523418112 534322656 542803968 554770944 558176346 567036288 578849544 588037632 601112988 610654464 633271296 637915824 648041472 651205737 661542336 686043904 686986272 697890816 712430208 729046656 739694592 744235128 756048384 771799392 784050176 785127168 801483984 814205952 832156416 850554432 868274316 882056448 897288192 915981696 949906944 951035904 972062208 992313504 1008064512 1029065856 1046836224 1068645312 1109541888 1116352692 1134072576 1157699088 1176075264 1202225976 1221308928 1266542592 1275831648 1296082944 1302411474 1323084672 1372087808 1373972544 1424860416 1458093312 1488470256 1512096768 1543598784 1570254336 1602967968 1628411904 1664312832 1701108864 1736548632 1764112896 1831963392 1899813888 1944124416 1953617211 1984627008 2058131712 2093672448 2137290624 2219083776 2232705384 2268145152 2315398176 2352150528 2404451952 2442617856 2551663296 2604822948 2646169344 2744175616 2747945088 2849720832 2916186624 2976940512 3024193536 3087197568 3140508672 3205935936 3328625664 3402217728 3473097264 3528225792 3663926784 3799627776 3888248832 3907234422 3969254016 4116263424 4274581248 4465410768 4536290304 4630796352 4808903904 4885235712 5103326592 5209645896 5292338688 5488351232 5495890176 5699441664 5832373248 5953881024 6174395136 6281017344 6411871872 6657251328 6804435456 6946194528 7056451584 7327853568 7814468844 7938508032 8232526848 8549162496 8930821536 9072580608 9261592704 9617807808 10206653184 10419291792 10584677376 10991780352 11398883328 11664746496 11907762048 12348790272 12823743744 13608870912 13892389056 14655707136 15628937688 15877016064 16465053696 17098324992 17861643072 18523185408 19235615616 20413306368 20838583584 21169354752 21983560704 23815524096 24697580544 25647487488 27217741824 27784778112 31257875376 31754032128 34196649984 35723286144 37046370816 38471231232 40826612736 41677167168 43967121408 47631048192 49395161088 51294974976 55569556224 62515750752 63508064256 71446572288 74092741632 76942462464 81653225472 83354334336 95262096384 102589949952 111139112448 125031501504 142893144576 148185483264 153884924928 166708668672 190524192768 222278224896 250063003008 285786289152 307769849856 333417337344 444556449792 500126006016 571572578304 666834674688 1000252012032 1333669349376 2000504024064 4001008048128
- Sum of all divisors σ(n): 15088934952000
- Sum of proper divisors (its aliquot sum) s(n): 11087926903872
- 4001008048128 is an abundant number, because the sum of its proper divisors (11087926903872) is greater than itself. Its abundance is 7086918855744
Bases of 4001008048128
- Binary: 1110100011100011101010100111011000000000002
- Hexadecimal: 0x3A38EA9D800
- Base-36: 1F21CW000
Squares and roots of 4001008048128
- 4001008048128 squared (40010080481282) is 16008065401185028364304384
- 4001008048128 cubed (40010080481283) is 64048398505100679594041799936313393152
-
The
square root of 4001008048128 is 2000251.9961564839 -
The
cube root of 4001008048128 is 15875.3438882289
Scales and comparisons
How big is 4001008048128?- 4,001,008,048,128 seconds is equal to 127,219 years, 35 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 4,001,008,048,128 would take you about three hundred eighteen thousand and forty-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 4001008048128 cubic inches would be around 1322.9 feet tall.
Recreational maths with 4001008048128
- 4001008048128 backwards is 8218408001004
- 4001008048128 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4001008048128's digits is 36
- More coming soon!
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The information we have on file for 4001008048128 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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