41122967869980672

Names of 41122967869980672

• Cardinal: 41122967869980672 can be written as Forty-one quadrillion, one hundred twenty-two trillion, nine hundred sixty-seven billion, eight hundred sixty-nine million, nine hundred eighty thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.1122967869980672 × 10¹⁶

Factors of 41122967869980672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 778

Divisors of 41122967869980672

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 169 192 208 246 256 312 328 338 384 416 492 507 512 533 624 656 676 719 768 832 984 1014 1024 1066 1248 1312 1352 1438 1536 1599 1664 1681 1968 2028 2048 2132 2157 2496 2624 2704 2876 3072 3198 3328 3362 3936 4056 4096 4264 4314 4992 5043 5248 5408 5752 6144 6396 6656 6724 6929 7872 8112 8192 8528 8628 9347 9984 10086 10496 10816 11504 12288 12792 13312 13448 13858 15744 16224 16384 17056 17256 18694 19968 20172 20787 20992 21632 21853 23008 24576 25584 26624 26896 27716 28041 29479 31488 32448 32768 34112 34512 37388 39936 40344 41574 41984 43264 43706 46016 49152 51168 53248 53792 55432 56082 58958 62976 64896 65536 65559 68224 69024 74776 79872 80688 83148 83968 86528 87412 88437 92032 98304 102336 106496 107584 110864 112164 117916 121511 125952 129792 131072 131118 136448 138048 149552 159744 161376 166296 167936 173056 174824 176874 184064 196608 204672 212992 215168 221728 224328 235832 243022 251904 259584 262144 262236 272896 276096 284089 299104 319488 322752 332592 335872 346112 349648 353748 364533 368128 383227 393216 409344 425984 430336 443456 448656 471664 486044 503808 519168 524288 524472 545792 552192 568178 598208 638976 645504 665184 671744 692224 699296 707496 729066 736256 766454 786432 818688 851968 852267 860672 886912 897312 943328 972088 1007616 1038336 1048576 1048944 1091584 1104384 1136356 1149681 1196416 1208639 1277952 1291008 1330368 1343488 1384448 1398592 1414992 1458132 1472512 1532908 1572864 1637376 1703936 1704534 1721344 1773824 1794624 1886656 1944176 2015232 2076672 2097152 2097888 2183168 2208768 2272712 2299362 2392832 2417278 2555904 2582016 2660736 2686976 2768896 2797184 2829984 2916264 2945024 3065816 3145728 3274752 3407872 3409068 3442688 3547648 3589248 3625917 3773312 3888352 4030464 4153344 4194304 4195776 4366336 4417536 4545424 4598724 4785664 4834556 4981951 5111808 5164032 5321472 5373952 5537792 5594368 5659968 5832528 5890048 6131632 6291456 6549504 6815744 6818136 6885376 7095296 7178496 7251834 7546624 7776704 8060928 8306688 8388608 8391552 8732672 8835072 9090848 9197448 9571328 9669112 9963902 10223616 10328064 10642944 10747904 11075584 11188736 11319936 11665056 11780096 12263264 12582912 13099008 13631488 13636272 13770752 14190592 14356992 14503668 14945853 15093248 15553408 15712307 16121856 16613376 16777216 16783104 17465344 17670144 18181696 18394896 19142656 19338224 19927804 20447232 20656128 21285888 21495808 22151168 22377472 22639872 23330112 23560192 24526528 25165824 26198016 27262976 27272544 27541504 28381184 28713984 29007336 29891706 30186496 31106816 31424614 32243712 33226752 33554432 33566208 34930688 35340288 36363392 36789792 38285312 38676448 39855608 40894464 41312256 42571776 42991616 44302336 44754944 45279744 46660224 47120384 47136921 49053056 50331648 52396032 54525952 54545088 55083008 56762368 57427968 58014672 59783412 60372992 62213632 62849228 64487424 66453504 67108864 67132416 69861376 70680576 72726784 73579584 76570624 77352896 79711216 81788928 82624512 85143552 85983232 88604672 89509888 90559488 93320448 94240768 94273842 98106112 100663296 104792064 109051904 109090176 110166016 113524736 114855936 116029344 119566824 120745984 124427264 125698456 128974848 132907008 134264832 139722752 141361152 145453568 147159168 153141248 154705792 159422432 163577856 165249024 170287104 171966464 177209344 179019776 181118976 186640896 188481536 188547684 196212224 201326592 204259991 209584128 218103808 218180352 220332032 227049472 229711872 232058688 239133648 241491968 248854528 251396912 257949696 265814016 268529664 279445504 282722304 290907136 294318336 306282496 309411584 318844864 327155712 330498048 340574208 343932928 354418688 358039552 362237952 373281792 376963072 377095368 392424448 408519982 419168256 436207616 436360704 440664064 454098944 459423744 464117376 478267296 482983936 497709056 502793824 515899392 531628032 537059328 558891008 565444608 581814272 588636672 612564992 612779973 618823168 637689728 654311424 660996096 681148416 687865856 708837376 716079104 724475904 746563584 753926144 754190736 784848896 817039964 838336512 872415232 872721408 881328128 908197888 918847488 928234752 956534592 965967872 995418112 1005587648 1031798784 1063256064 1074118656 1117782016 1130889216 1163628544 1177273344 1225129984 1225559946 1237646336 1275379456 1308622848 1321992192 1362296832 1375731712 1417674752 1432158208 1448951808 1493127168 1507852288 1508381472 1569697792 1634079928 1676673024 1745442816 1762656256 1816395776 1837694976 1856469504 1913069184 1931935744 1990836224 2011175296 2063597568 2126512128 2148237312 2235564032 2261778432 2327257088 2354546688 2450259968 2451119892 2475292672 2550758912 2617245696 2643984384 2724593664 2751463424 2835349504 2864316416 2897903616 2986254336 3015704576 3016762944 3139395584 3268159856 3353346048 3490885632 3525312512 3632791552 3675389952 3712939008 3826138368 3863871488 3981672448 4022350592 4127195136 4253024256 4296474624 4471128064 4523556864 4654514176 4709093376 4900519936 4902239784 4950585344 5101517824 5287968768 5449187328 5670699008 5728632832 5795807232 5972508672 6031409152 6033525888 6278791168 6536319712 6706692096 6981771264 7050625024 7265583104 7350779904 7425878016 7652276736 7727742976 7963344896 8044701184 8254390272 8506048512 8592949248 8942256128 9047113728 9309028352 9418186752 9801039872 9804479568 9901170688 10203035648 10575937536 10898374656 11341398016 11457265664 11591614464 11945017344 12062818304 12067051776 12557582336 13072639424 13413384192 13963542528 14101250048 14531166208 14701559808 14851756032 15304553472 15455485952 15926689792 16089402368 17012097024 17185898496 17884512256 18094227456 18618056704 18836373504 19602079744 19608959136 19802341376 20406071296 21151875072 21796749312 22914531328 23183228928 23890034688 24125636608 24134103552 25115164672 26145278848 26826768384 27927085056 28202500096 29062332416 29403119616 29703512064 30609106944 30910971904 31853379584 32178804736 34024194048 34371796992 35769024512 36188454912 37236113408 37672747008 39204159488 39217918272 39604682752 40812142592 42303750144 43593498624 45829062656 46366457856 47780069376 48251273216 48268207104 50230329344 52290557696 53653536768 55854170112 56405000192 58124664832 58806239232 59407024128 61218213888 61821943808 63706759168 64357609472 68743593984 72376909824 74472226816 75345494016 78408318976 78435836544 79209365504 81624285184 84607500288 87186997248 91658125312 92732915712 95560138752 96536414208 100460658688 104581115392 107307073536 111708340224 112810000384 116249329664 117612478464 118814048256 122436427776 123643887616 127413518336 128715218944 137487187968 144753819648 148944453632 150690988032 156816637952 156871673088 158418731008 163248570368 169215000576 174373994496 183316250624 185465831424 191120277504 193072828416 200921317376 209162230784 223416680448 232498659328 235224956928 237628096512 244872855552 247287775232 254827036672 257430437888 274974375936 297888907264 301381976064 313633275904 313743346176 316837462016 326497140736 338430001152 348747988992 366632501248 370931662848 382240555008 386145656832 401842634752 418324461568 446833360896 464997318656 470449913856 475256193024 489745711104 494575550464 509654073344 514860875776 549948751872 595777814528 602763952128 627266551808 627486692352 633674924032 652994281472 697495977984 733265002496 741863325696 764481110016 772291313664 803685269504 836648923136 893666721792 940899827712 950512386048 979491422208 989151100928 1019308146688 1029721751552 1099897503744 1191555629056 1205527904256 1254973384704 1267349848064 1305988562944 1394991955968 1466530004992 1483726651392 1528962220032 1544582627328 1607370539008 1673297846272 1787333443584 1881799655424 1901024772096 1958982844416 1978302201856 2038616293376 2059443503104 2199795007488 2383111258112 2411055808512 2509946769408 2534699696128 2611977125888 2967453302784 3057924440064 3089165254656 3214741078016 3346595692544 3574666887168 3802049544192 3917965688832 4077232586752 4118887006208 4399590014976 4766222516224 4822111617024 5019893538816 5069399392256 5223954251776 5934906605568 6115848880128 6178330509312 6429482156032 6693191385088 7149333774336 7604099088384 7835931377664 8154465173504 8237774012416 9532445032448 9644223234048 10039787077632 10138798784512 10447908503552 12231697760256 12356661018624 12858964312064 13386382770176 14298667548672 15208198176768 15671862755328 16475548024832 19064890064896 19288446468096 20079574155264 20277597569024 20895817007104 24463395520512 24713322037248 25717928624128 26772765540352 28597335097344 30416396353536 31343725510656 32951096049664 38576892936192 40159148310528 40555195138048 41791634014208 49426644074496 53545531080704 57194670194688 60832792707072 62687451021312 65902192099328 77153785872384 80318296621056 81110390276096 83583268028416 98853288148992 107091062161408 121665585414144 125374902042624 131804384198656 160636593242112 167166536056832 197706576297984 214182124322816 243331170828288 250749804085248 263608768397312 321273186484224 334333072113664 395413152595968 428364248645632 501499608170496 527217536794624 642546372968448 790826305191936 856728497291264 1002999216340992 1054435073589248 1285092745936896 1581652610383872 1713456994582528 2570185491873792 3163305220767744 3426913989165056 5140370983747584 6853827978330112 10280741967495168 13707655956660224 20561483934990336 41122967869980672
• Sum of all divisors σ(n): 121881764974011840
• Sum of proper divisors (its aliquot sum) s(n): 80758797104031168
• 41122967869980672 is an abundant number, because the sum of its proper divisors (80758797104031168) is greater than itself. Its abundance is 39635829234050496

Bases of 41122967869980672

• Binary: 10010010000110010001111100010100000000000000000000000000₂
• Hexadecimal: 0x92191F14000000
• Base-36: B8WVIMY7XMO

Squares and roots of 41122967869980672

• 41122967869980672 squared (41122967869980672²) is 1691098486435462687454017653571584
• 41122967869980672 cubed (41122967869980672³) is 69542988722658477373209595447413928323797848424448
• The square root of 41122967869980672 is 202787987.4893497533
• The cube root of 41122967869980672 is 345166.1116196023

Scales and comparisons

• 41,122,967,869,980,672 seconds is equal to 1,307,583,176 years, 29 weeks, 5 days, 22 hours, 11 minutes, 12 seconds.
• To count from 1 to 41,122,967,869,980,672 would take you about three billion, nine hundred twenty-two million, seven hundred forty-nine thousand, five hundred twenty-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 41122967869980672 cubic inches would be around 28763.8 feet tall.

Recreational maths with 41122967869980672

• 41122967869980672 backwards is 27608996876922114
• The number of decimal digits it has is: 17
• The sum of 41122967869980672's digits is 87
• More coming soon!