401381143841664
401,381,143,841,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 401381143841664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1280 divisors.
401381143841664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 401381143841664:
27 × 33 × 74 × 53 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 53 × 97 × 97 × 97)See below for interesting mathematical facts about the number 401381143841664 from the Numbermatics database.
Names of 401381143841664
- Cardinal: 401381143841664 can be written as Four hundred one trillion, three hundred eighty-one billion, one hundred forty-three million, eight hundred forty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.01381143841664 × 1014
Factors of 401381143841664
Divisors of 401381143841664
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 84 96 97 98 106 108 112 126 128 144 147 159 168 189 192 194 196 212 216 224 252 288 291 294 318 336 343 371 378 384 388 392 424 432 441 448 477 504 576 582 588 636 672 679 686 742 756 776 784 848 864 873 882 896 954 1008 1029 1113 1152 1164 1176 1272 1323 1344 1358 1372 1431 1484 1512 1552 1568 1696 1728 1746 1764 1908 2016 2037 2058 2226 2328 2352 2401 2544 2597 2619 2646 2688 2716 2744 2862 2968 3024 3087 3104 3136 3339 3392 3456 3492 3528 3816 4032 4074 4116 4452 4656 4704 4753 4802 5088 5141 5194 5238 5292 5432 5488 5724 5936 6048 6111 6174 6208 6272 6678 6784 6984 7056 7203 7632 7791 8064 8148 8232 8904 9261 9312 9408 9409 9506 9604 10017 10176 10282 10388 10476 10584 10864 10976 11448 11872 12096 12222 12348 12416 13356 13968 14112 14259 14406 15264 15423 15582 16296 16464 17808 18179 18333 18522 18624 18816 18818 19012 19208 20034 20352 20564 20776 20952 21168 21609 21728 21952 22896 23373 23744 24192 24444 24696 26712 27936 28224 28227 28518 28812 30528 30846 31164 32592 32928 33271 35616 35987 36358 36666 37044 37248 37636 38024 38416 40068 41128 41552 41904 42336 42777 43218 43456 43904 45792 46269 46746 47488 48888 49392 53424 54537 55872 56448 56454 57036 57624 61056 61692 62328 64827 65184 65856 65863 66542 70119 71232 71974 72716 73332 74088 75272 76048 76832 80136 82256 83104 83808 84672 84681 85554 86436 86912 91584 92538 93492 97776 98784 99813 106848 107961 109074 111744 112908 114072 115248 123384 124656 127253 128331 129654 130368 131712 131726 133084 138807 140238 142464 143948 145432 146664 148176 150544 152096 153664 160272 163611 164512 166208 167616 169344 169362 171108 172872 183168 185076 186984 195552 197568 197589 199626 213696 215922 218148 225816 228144 230496 232897 246768 249312 251909 254043 254506 256662 259308 260736 263452 266168 277614 280476 287896 290864 293328 296352 299439 301088 304192 307328 320544 323883 327222 329024 332416 335232 338724 342216 345744 370152 373968 381759 391104 395136 395178 399252 427392 431844 436296 451632 456288 460992 461041 465794 490833 493536 498624 498677 503818 508086 509012 513324 518616 526904 532336 555228 560952 575792 581728 586656 592704 592767 598878 602176 608384 641088 647766 654444 658048 677448 684432 691488 698691 740304 747936 755727 763518 782208 790356 798504 863688 872592 898317 903264 912576 912673 921984 922082 931588 971649 981666 987072 997248 997354 1007636 1016172 1018024 1026648 1037232 1053808 1064672 1110456 1121904 1145277 1151584 1163456 1173312 1185408 1185534 1197756 1204352 1282176 1295532 1308888 1354896 1368864 1382976 1383123 1397382 1480608 1495872 1496031 1511454 1527036 1580712 1597008 1727376 1745184 1763363 1778301 1796634 1806528 1825152 1825346 1844164 1863176 1943298 1963332 1974144 1994708 2015272 2032344 2036048 2053296 2074464 2096073 2107616 2129344 2220912 2243808 2267181 2290554 2303168 2326912 2346624 2371068 2395512 2591064 2617776 2709792 2737728 2738019 2765952 2766246 2794764 2961216 2991744 2992062 3022908 3054072 3161424 3194016 3227287 3435831 3454752 3490368 3490739 3526726 3556602 3593268 3613056 3650692 3688328 3726352 3886596 3926664 3989416 4030544 4064688 4072096 4106592 4148928 4149369 4192146 4215232 4258688 4441824 4487616 4488093 4534362 4581108 4606336 4742136 4791024 5182128 5235552 5290089 5419584 5475456 5476038 5532492 5589528 5922432 5984124 6045816 6108144 6288219 6322848 6388032 6388711 6454574 6801543 6871662 6909504 6980736 6981478 7053452 7113204 7186536 7301384 7376656 7452704 7773192 7853328 7978832 8061088 8129376 8144192 8213184 8214057 8297856 8298738 8384292 8430464 8883648 8975232 8976186 9068724 9162216 9484272 9582048 9681861 10364256 10471104 10472217 10580178 10839168 10952076 11064984 11179056 11968248 12091632 12216288 12343541 12448107 12576438 12645696 12776064 12777422 12909148 13464279 13603086 13743324 13819008 13962956 14106904 14226408 14373072 14602768 14753312 14905408 15546384 15706656 15870267 15957664 16122176 16258752 16288384 16426368 16428114 16597476 16768584 17767296 17952372 18137448 18324432 18968544 19164096 19166133 19363722 20728512 20942208 20944434 21160356 21904152 22129968 22358112 22591009 23936496 24183264 24432576 24435173 24642171 24687082 24896214 25152876 25291392 25554844 25818296 26928558 27206172 27486648 27925912 28213808 28452816 28746144 29045583 29205536 29506624 29810816 31092768 31413312 31416651 31740534 31915328 32244352 32517504 32856228 33194952 33537168 35904744 36274896 36648864 37030623 37937088 38328192 38332266 38727444 41457024 41888868 42320712 43808304 44259936 44716224 44720977 45182018 47610801 47872992 48366528 48371669 48865152 48870346 49284342 49374164 49792428 50305752 51109688 51636592 53857116 54412344 54973296 55851824 56427616 56905632 57492288 57498399 58091166 58411072 59013248 62185536 62826624 62833302 63481068 63830656 65712456 66389904 67074336 67773027 71809488 72549792 73297728 73305519 74061246 75874176 76664532 77454888 83777736 84641424 87136749 87616608 88519872 89432448 89441954 90364036 94249953 95221602 95745984 96733056 96743338 97740692 98568684 98748328 99584856 100611504 102219376 103273184 107714232 108824688 109946592 111091869 111703648 112855232 113811264 114984576 114996798 116182332 116822144 124371072 125666604 126962136 131424912 132779808 134148672 134162931 135546054 143618976 145099584 145115007 146595456 146611038 148122492 153329064 154909776 167555472 169282848 171046211 172495197 174273498 175233216 177039744 178883908 180728072 188499906 190443204 191491968 193486676 195481384 197137368 197496656 199169712 201223008 203319081 204438752 206546368 215428464 217649376 219893184 219916557 222183738 223407296 225710464 227622528 229993596 232364664 251333208 253924272 262849824 265559616 268297344 268325862 271092108 287237952 290199168 290230014 293222076 296244984 306658128 309819552 313046839 333275607 335110944 338565696 338601683 342092422 344990394 348546996 350466432 357767816 361456144 376999812 380886408 386973352 390962768 394274736 394993312 398339424 402446016 402488793 406638162 408877504 413092736 430856928 435298752 435345021 439786368 439833114 444367476 446814592 459987192 464729328 502666416 507848544 513138633 525699648 531119232 536651724 542184216 574475904 580460028 586444152 592489968 609957243 613316256 619639104 626093678 659749671 666551214 670221888 677131392 677203366 684184844 689980788 697093992 715535632 722912288 753999624 761772816 773946704 781925536 788549472 789986624 796678848 804892032 804977586 813276324 817755008 861713856 870597504 870690042 879666228 888734952 919974384 929458656 939140517 1005332832 1015697088 1015805049 1026277266 1051399296 1073303448 1084368432 1160920056 1172888304 1184979936 1197323477 1207466379 1219914486 1226632512 1239278208 1252187356 1306035063 1319499342 1333102428 1340443776 1354406732 1368369688 1379961576 1394187984 1431071264 1445824576 1507999248 1523545632 1539415899 1547893408 1563851072 1577098944 1579973248 1593357696 1609955172 1626552648 1723427712 1741380084 1759332456 1777469904 1839948768 1858917312 1878281034 2010665664 2031394176 2031610098 2052554532 2146606896 2168736864 2191327873 2321840112 2345776608 2369959872 2370211781 2394646954 2414932758 2439828972 2453265024 2504374712 2612070126 2638998684 2666204856 2708813464 2736739376 2759923152 2788375968 2817421551 2862142528 2891649152 3015998496 3047091264 3047415147 3078831798 3095786816 3127702144 3154197888 3219910344 3253105296 3482760168 3518664912 3554939808 3591970431 3679897536 3717834624 3756562068 4021331328 4063220196 4105109064 4293213792 4337473728 4382655746 4618247697 4643680224 4691553216 4739919744 4740423562 4789293908 4829865516 4879657944 5008749424 5224140252 5277997368 5332409712 5417626928 5473478752 5519846304 5576751936 5634843102 5724285056 6031996992 6094182528 6094830294 6157663596 6191573632 6439820688 6506210592 6573983619 6965520336 7037329824 7109879616 7110635343 7183940862 7359795072 7513124136 8126440392 8210218128 8452264653 8586427584 8674947456 8765311492 9142245441 9236495394 9287360448 9383106432 9480847124 9578587816 9659731032 9759315888 10017498848 10448280504 10555994736 10664819424 10775911293 10835253856 10946957504 11039692608 11153503872 11269686204 12063993984 12189660588 12315327192 12879641376 13012421184 13147967238 13931040672 14074659648 14219759232 14221270686 14367881724 15026248272 16252880784 16420436256 16591482467 16904529306 17172855168 17530622984 18284490882 18472990788 18574720896 18961694248 19157175632 19319462064 19518631776 19721950857 20034997696 20896561008 21111989472 21329638848 21331906029 21551822586 21670507712 21893915008 22079385216 22539372408 24379321176 24630654384 25759282752 26024842368 26295934476 27862081344 28149319296 28442541372 28735763448 30052496544 32327733879 32505761568 32840872512 33182964934 33809058612 35061245968 36568981764 36945981576 37923388496 38314351264 38638924128 39037263552 39443901714 40069995392 41793122016 42223978944 42659277696 42663812058 43103645172 43341015424 45078744816 48758642352 49261308768 49774447401 51518565504 52591868952 55724162688 56885082744 57471526896 59165852571 60104993088 63995718087 64655467758 65011523136 65681745024 66365929868 67618117224 70122491936 73137963528 73891963152 75846776992 76628702528 77277848256 78074527104 78887803428 83586244032 84447957888 85327624116 86207290344 90157489632 97517284704 98522617536 99548894802 105183737904 113770165488 114943053792 116140377269 118331705142 120209986176 127991436174 129310935516 130023046272 132731859736 135236234448 140244983872 146275927056 147783926304 149323342203 151693553984 153257405056 154555696512 157775606856 167172488064 170655248232 172414580688 180314979264 195034569408 197045235072 199097789604 210367475808 227540330976 229886107584 232280754538 236663410284 255982872348 258621871032 265463719472 270472468896 280489967744 292551854112 295567852608 298646684406 303387107968 315551213712 341310496464 344829161376 348421131807 360629958528 390069138816 398195579208 420734951616 447970026609 455080661952 459772215168 464561509076 473326820568 511965744696 517243742064 530927438944 540944937792 585103708224 591135705216 597293368812 631102427424 682620992928 689658322752 696842263614 796391158416 841469903232 895940053218 910161323904 929123018152 946653641136 1023931489392 1034487484128 1045263395421 1061854877888 1081889875584 1170207416448 1194586737624 1262204854848 1365241985856 1379316645504 1393684527228 1592782316832 1791880106436 1858246036304 1893307282272 2047862978784 2068974968256 2090526790842 2123709755776 2389173475248 2524409709696 2730483971712 2787369054456 3135790186263 3185564633664 3583760212872 3716492072608 3786614564544 4095725957568 4137949936512 4181053581684 4778346950496 5574738108912 6271580372526 6371129267328 7167520425744 7432984145216 7573229129088 8191451915136 8362107163368 9556693900992 11149476217824 12543160745052 14335040851488 14865968290432 16724214326736 19113387801984 22298952435648 25086321490104 28670081702976 33448428653472 44597904871296 50172642980208 57340163405952 66896857306944 100345285960416 133793714613888 200690571920832 401381143841664
- Sum of all divisors σ(n): 1422730819944000
- Sum of proper divisors (its aliquot sum) s(n): 1021349676102336
- 401381143841664 is an abundant number, because the sum of its proper divisors (1021349676102336) is greater than itself. Its abundance is 619968532260672
Bases of 401381143841664
- Binary: 10110110100001101110101000111111110001011100000002
- Hexadecimal: 0x16D0DD47F8B80
- Base-36: 3Y9ZY9OTC0
Squares and roots of 401381143841664
- 401381143841664 squared (4013811438416642) is 161106822631642566392302288896
- 401381143841664 cubed (4013811438416643) is 64665240748584774029434488118603401809362944
-
The
square root of 401381143841664 is 20034498.8417894797 -
The
cube root of 401381143841664 is 73765.3355123203
Scales and comparisons
How big is 401381143841664?- 401,381,143,841,664 seconds is equal to 12,762,678 years, 42 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 401,381,143,841,664 would take you about thirty-one million, nine hundred six thousand, six hundred ninety-seven 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 401381143841664 cubic inches would be around 6147.1 feet tall.
Recreational maths with 401381143841664
- 401381143841664 backwards is 466148341183104
- 401381143841664 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 401381143841664's digits is 54
- More coming soon!
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"Number 401381143841664 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 401381143841664 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/401381143841664/
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The information we have on file for 401381143841664 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!
Keywords: Divisors of 401381143841664, math, Factors of 401381143841664, curriculum, school, college, exams, university, Prime factorization of 401381143841664, STEM, science, technology, engineering, physics, economics, calculator, four hundred one trillion, three hundred eighty-one billion, one hundred forty-three million, eight hundred forty-one thousand, six hundred sixty-four.