4004056473984
4,004,056,473,984 is an even composite number composed of seven prime numbers multiplied together.
4004056473984 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4004056473984:
27 × 32 × 7 × 29 × 31 × 601 × 919
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 31 × 601 × 919)See below for interesting mathematical facts about the number 4004056473984 from the Numbermatics database.
Names of 4004056473984
- Cardinal: 4004056473984 can be written as Four trillion, four billion, fifty-six million, four hundred seventy-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.004056473984 × 1012
Factors of 4004056473984
Divisors of 4004056473984
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 31 32 36 42 48 56 58 62 63 64 72 84 87 93 96 112 116 124 126 128 144 168 174 186 192 203 217 224 232 248 252 261 279 288 336 348 372 384 406 434 448 464 496 504 522 558 576 601 609 651 672 696 744 812 868 896 899 919 928 992 1008 1044 1116 1152 1202 1218 1302 1344 1392 1488 1624 1736 1798 1803 1827 1838 1856 1953 1984 2016 2088 2232 2404 2436 2604 2688 2697 2757 2784 2976 3248 3472 3596 3606 3654 3676 3712 3906 3968 4032 4176 4207 4464 4808 4872 5208 5394 5409 5514 5568 5952 6293 6433 6496 6944 7192 7212 7308 7352 7812 8064 8091 8271 8352 8414 8928 9616 9744 10416 10788 10818 11028 11136 11904 12586 12621 12866 12992 13888 14384 14424 14616 14704 15624 16182 16542 16704 16828 17429 17856 18631 18879 19232 19299 19488 20832 21576 21636 22056 25172 25242 25732 25984 26651 27776 28489 28768 28848 29232 29408 31248 32364 33084 33408 33656 34858 35712 37262 37758 37863 38464 38598 38976 41664 43152 43272 44112 50344 50484 51464 52287 53302 55893 56637 56978 57536 57696 57897 58464 58816 62496 64728 66168 67312 69716 74524 75516 75726 76928 77196 77952 79953 83328 85467 86304 86544 88224 100688 100968 102928 104574 106604 111786 113274 113956 115072 115392 115794 116928 117632 122003 124992 129456 130417 132336 134624 139432 149048 151032 151452 154392 156861 159906 167679 170934 172608 173088 176448 186557 199423 201376 201936 205856 209148 213208 223572 226548 227912 230784 231588 233856 239859 244006 249984 256401 258912 260834 264672 269248 278864 298096 302064 302904 308784 313722 319812 335358 341868 345216 346176 352896 366009 373114 391251 398846 402752 403872 411712 418296 426416 447144 453096 455824 463176 479718 488012 512802 517824 521668 529344 538496 540299 552319 557728 559671 596192 598269 604128 605808 617568 627444 639624 670716 683736 692352 732018 746228 782502 797692 805504 807744 823424 826181 836592 852832 894288 906192 911648 926352 959436 976024 1025604 1035648 1043336 1058688 1080598 1098027 1104638 1115456 1119342 1173753 1192384 1196538 1208256 1211616 1235136 1254888 1279248 1341432 1367472 1464036 1492456 1565004 1595384 1615488 1620897 1652362 1656957 1673184 1679013 1705664 1788576 1794807 1812384 1823296 1852704 1918872 1952048 2051208 2086672 2161196 2196054 2209276 2230912 2238684 2347506 2384768 2393076 2416512 2423232 2470272 2478543 2509776 2558496 2682864 2734944 2928072 2984912 3130008 3190768 3241794 3304724 3313914 3346368 3358026 3411328 3577152 3589614 3624768 3646592 3705408 3782093 3837744 3866233 3904096 4102416 4173344 4322392 4392108 4418552 4477368 4695012 4786152 4846464 4862691 4957086 4970871 5019552 5116992 5365728 5469888 5783267 5856144 5969824 6260016 6381536 6483588 6609448 6627828 6692736 6716052 7154304 7179228 7249536 7410816 7435629 7564186 7675488 7732466 7808192 8204832 8346688 8644784 8784216 8837104 8954736 9390024 9572304 9725382 9914172 9941742 10039104 10233984 10731456 10939776 11346279 11566534 11598699 11712288 11939648 12520032 12763072 12967176 13218896 13255656 13432104 14358456 14871258 15128372 15350976 15464932 15616384 16017251 16409664 16693376 17121889 17289568 17349801 17568432 17674208 17909472 18780048 19144608 19450764 19828344 19883484 20078208 21462912 22692558 23133068 23197398 23424576 23879296 25040064 25526144 25934352 26437792 26511312 26864208 28716912 29742516 30256744 30701952 30929864 32034502 32819328 34038837 34243778 34579136 34699602 34796097 35136864 35348416 35818944 37560096 38289216 38901528 39656688 39766968 45385116 46266136 46394796 46849152 48051753 50080128 51365667 51868704 52049403 52875584 53022624 53728416 57433824 59485032 60513488 61859728 64069004 68077674 68487556 69158272 69399204 69592194 70273728 70696832 71637888 75120192 76578432 77803056 79313376 79533936 90770232 92532272 92789592 96103506 102731334 103737408 104098806 105751168 106045248 107456832 112120757 114867648 118970064 119853223 121026976 123719456 128138008 136155348 136975112 138798408 139184388 140547456 144155259 150240384 154097001 155606112 158626752 159067872 181540464 185064544 185579184 192207012 205462668 207474816 208197612 212090496 214913664 224241514 229735296 237940128 239706446 242053952 247438912 256276016 272310696 273950224 277596816 278368776 288310518 308194002 311212224 317253504 318135744 336362271 359559669 363080928 370129088 371158368 384414024 410925336 416395224 448483028 475880256 479412892 484107904 494877824 496534781 512552032 544621392 547900448 555193632 556737552 576621036 616388004 622424448 636271488 672724542 719119338 726161856 740258176 742316736 768828048 821850672 832790448 896966056 951760512 958825784 993069562 1009086813 1025104064 1078679007 1089242784 1095800896 1110387264 1113475104 1153242072 1232776008 1345449084 1438238676 1452323712 1484633472 1489604343 1537656096 1643701344 1665580896 1793932112 1917651568 1986139124 2018173626 2050208128 2157358014 2178485568 2191601792 2220774528 2226950208 2306484144 2465552016 2690898168 2876477352 2979208686 3075312192 3287402688 3331161792 3475743467 3587864224 3835303136 3972278248 4036347252 4314716028 4356971136 4453900416 4468813029 4612968288 4931104032 5381796336 5752954704 5958417372 6150624384 6574805376 6662323584 6951486934 7175728448 7670606272 7944556496 8072694504 8629432056 8937626058 9225936576 9862208064 10427230401 10763592672 11505909408 11916834744 13902973868 14351456896 15341212544 15889112992 16145389008 17258864112 17875252116 18451873152 19724416128 20854460802 21527185344 23011818816 23833669488 27805947736 31281691203 31778225984 32290778016 34517728224 35750504232 41708921604 43054370688 46023637632 47667338976 55611895472 62563382406 63556451968 64581556032 69035456448 71501008464 83417843208 95334677952 111223790944 125126764812 129163112064 138070912896 143002016928 166835686416 190669355904 222447581888 250253529624 286004033856 333671372832 444895163776 500507059248 572008067712 667342745664 1001014118496 1334685491328 2002028236992 4004056473984
- Sum of all divisors σ(n): 14100323328000
- Sum of proper divisors (its aliquot sum) s(n): 10096266854016
- 4004056473984 is an abundant number, because the sum of its proper divisors (10096266854016) is greater than itself. Its abundance is 6092210380032
Bases of 4004056473984
- Binary: 1110100100010001000101110100100001100000002
- Hexadecimal: 0x3A4445D2180
- Base-36: 1F3FRUCG0
Squares and roots of 4004056473984
- 4004056473984 squared (40040564739842) is 16032468246853182868832256
- 4004056473984 cubed (40040564739843) is 64194908277755397501504036530924027904
-
The
square root of 4004056473984 is 2001013.8615172057 -
The
cube root of 4004056473984 is 15879.3747493269
Scales and comparisons
How big is 4004056473984?- 4,004,056,473,984 seconds is equal to 127,316 years, 31 weeks, 5 days, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 4,004,056,473,984 would take you about three hundred eighteen thousand, two hundred ninety-one 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 4004056473984 cubic inches would be around 1323.3 feet tall.
Recreational maths with 4004056473984
- 4004056473984 backwards is 4893746504004
- The number of decimal digits it has is: 13
- The sum of 4004056473984's digits is 54
- More coming soon!
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