40690813150924800

Names of 40690813150924800

• Cardinal: 40690813150924800 can be written as Forty quadrillion, six hundred ninety trillion, eight hundred thirteen billion, one hundred fifty million, nine hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.06908131509248 × 10¹⁶

Factors of 40690813150924800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 20232

Divisors of 40690813150924800

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 120 128 150 160 178 181 192 200 240 256 267 300 320 356 362 384 400 421 445 480 512 534 543 600 640 712 724 768 800 842 890 905 960 1024 1068 1086 1200 1263 1280 1335 1424 1448 1536 1600 1684 1780 1810 1920 2048 2105 2136 2172 2225 2400 2526 2560 2670 2715 2848 2896 3072 3200 3368 3560 3620 3840 4096 4210 4272 4344 4450 4525 4800 5052 5120 5340 5430 5696 5792 6144 6315 6400 6675 6736 7120 7240 7680 8420 8544 8688 8900 9050 9600 10104 10240 10525 10680 10860 11392 11584 12288 12630 12800 13350 13472 13575 14240 14480 15360 16109 16840 17088 17376 17800 18100 19200 19531 20208 20480 21050 21360 21720 22784 23168 25260 25600 26700 26944 27150 28480 28960 30720 31575 32218 33680 34176 34752 35600 36200 37469 38400 39062 40416 42100 42720 43440 45568 46336 48327 50520 51200 53400 53888 54300 56960 57920 58593 61440 63150 64436 67360 68352 69504 71200 72400 74938 76201 76800 78124 80545 80832 84200 85440 86880 91136 92672 96654 97655 101040 102400 106800 107776 108600 112407 113920 115840 117186 126300 128872 134720 136704 139008 142400 144800 149876 152402 153600 156248 161090 161664 168400 170880 173760 182272 185344 187345 193308 195310 202080 213600 215552 217200 224814 227840 228603 231680 234372 241635 252600 257744 269440 273408 278016 284800 289600 292965 299752 304804 307200 312496 322180 323328 336800 341760 347520 364544 370688 374690 381005 386616 390620 402725 404160 427200 431104 434400 449628 455680 457206 463360 468744 483270 488275 505200 515488 538880 546816 556032 562035 569600 579200 585930 599504 609608 624992 644360 646656 673600 683520 695040 741376 749380 762010 773232 781240 805450 808320 854400 862208 868800 899256 911360 914412 926720 936725 937488 966540 976550 1010400 1030976 1077760 1093632 1112064 1124070 1139200 1143015 1158400 1171860 1199008 1208175 1219216 1249984 1288720 1293312 1347200 1367040 1390080 1464825 1498760 1524020 1546464 1562480 1610900 1616640 1708800 1724416 1737600 1738259 1798512 1822720 1828824 1853440 1873450 1874976 1905025 1933080 1953100 2020800 2061952 2155520 2224128 2248140 2278400 2286030 2316800 2343720 2398016 2416350 2438432 2499968 2577440 2586624 2694400 2734080 2780160 2810175 2929650 2997520 3048040 3092928 3124960 3221800 3233280 3417600 3475200 3476518 3535111 3597024 3657648 3706880 3746900 3749952 3810050 3866160 3906200 4041600 4123904 4311040 4496280 4556800 4572060 4633600 4687440 4796032 4832700 4876864 4999936 5154880 5173248 5214777 5388800 5468160 5560320 5620350 5715075 5859300 5995040 6096080 6185856 6249920 6443600 6466560 6781889 6835200 6950400 6953036 7070222 7194048 7315296 7493800 7499904 7620100 7732320 7812400 8083200 8222551 8247808 8622080 8691295 8992560 9113600 9144120 9267200 9374880 9592064 9665400 9753728 9999872 10309760 10429554 10605333 10777600 11120640 11240700 11430150 11718600 11990080 12192160 12371712 12499840 12887200 12933120 13563778 13670400 13900800 13906072 14140444 14388096 14630592 14987600 14999808 15240200 15464640 15624800 16166400 16445102 16495616 17382590 17675555 17985120 18288240 18534400 18749760 19184128 19330800 19507456 19999744 20345667 20619520 20859108 21210666 21555200 22481400 22860300 23437200 23980160 24384320 24667653 24743424 24999680 25774400 25866240 26073885 27127556 27340800 27801600 27812144 28280888 28776192 29261184 29975200 29999616 30480400 30929280 31249600 32332800 32890204 32991232 33909445 34765180 35351110 35970240 36576480 37499520 38368256 38661600 39014912 39999488 40691334 41112755 41239040 41718216 42421332 43110400 43456475 44962800 45720600 46874400 47960320 48768640 49335306 49486848 49999360 51548800 52147770 53026665 54255112 55603200 55624288 56561776 57552384 58522368 59950400 59999232 60960800 61858560 62499200 64665600 65780408 65982464 67818890 69530360 70702220 71940480 73152960 74999040 76736512 77323200 78029824 79998976 81382668 82225510 82478080 83436432 84842664 86912950 88377775 89925600 91441200 93748800 95920640 97537280 98670612 98973696 99998720 101728335 103097600 104295540 106053330 108510224 111248576 113123552 115104768 117044736 119900800 119998464 121921600 123338265 123717120 124998400 129331200 130369425 131560816 135637780 139060720 141404440 143880960 146305920 149998080 153473024 154646400 156059648 162765336 164451020 164956160 166872864 169547225 169685328 173825900 176755550 179851200 182882400 187497600 191841280 195074560 197341224 197947392 199997440 203456670 205563775 206195200 208591080 212106660 217020448 222497152 226247104 230209536 234089472 239801600 239996928 243843200 246676530 247434240 249996800 260738850 263121632 265133325 271275560 278121440 282808880 287761920 292611840 299996160 309292800 312119296 314624879 325530672 328902040 329912320 333745728 339094450 339370656 347651800 353511100 359702400 365764800 374995200 383682560 390149120 394682448 399994880 406913340 411127550 412390400 417182160 424213320 434040896 444994304 452494208 460419072 468178944 479603200 487686400 493353060 494868480 499993600 508641675 521477700 526243264 530266650 542551120 556242880 565617760 575523840 585223680 599992320 616691325 618585600 629249758 651061344 657804080 667491456 678188900 678741312 695303600 707022200 719404800 731529600 731807039 749990400 767365120 780298240 789364896 813826680 822255100 824780800 834364320 848426640 868081792 889988608 904988416 936357888 943874637 959206400 975372800 986706120 989736960 999987200 1017283350 1042955400 1052486528 1060533300 1085102240 1112485760 1131235520 1151047680 1170447360 1199984640 1233382650 1237171200 1258499516 1302122688 1315608160 1334982912 1356377800 1357482624 1390607200 1414044400 1438809600 1463059200 1463614078 1488281731 1499980800 1560596480 1573124395 1578729792 1627653360 1644510200 1649561600 1668728640 1696853280 1736163584 1779977216 1809976832 1887749274 1918412800 1950745600 1973412240 1999974400 2034566700 2085910800 2104973056 2121066600 2170204480 2195421117 2224971520 2262471040 2302095360 2340894720 2466765300 2474342400 2516999032 2604245376 2631216320 2669965824 2712755600 2714965248 2781214400 2828088800 2877619200 2926118400 2927228156 2976563462 2999961600 3146248790 3157459584 3255306720 3289020400 3337457280 3393706560 3472327168 3559954432 3619953664 3659035195 3775498548 3836825600 3901491200 3946824480 4069133400 4171821600 4209946112 4242133200 4340408960 4390842234 4449943040 4464845193 4524942080 4681789440 4719373185 4933530600 4948684800 5033998064 5208490752 5262432640 5339931648 5425511200 5429930496 5562428800 5656177600 5755238400 5852236800 5854456312 5953126924 5999923200 6292497580 6314919168 6510613440 6578040800 6674914560 6787413120 6944654336 7119908864 7239907328 7318070390 7441408655 7550997096 7802982400 7865621975 7893648960 8138266800 8343643200 8419892224 8484266400 8680817920 8781684468 8899886080 8929690386 9049884160 9438746370 9867061200 10067996128 10416981504 10524865280 10679863296 10851022400 10859860992 10977105585 11124857600 11312355200 11510476800 11704473600 11708912624 11906253848 12584995160 12629838336 13021226880 13156081600 13349829120 13574826240 13889308672 14479814656 14636140780 14882817310 15101994192 15731243950 15787297920 16276533600 16687286400 16839784448 16968532800 17361635840 17563368936 17799772160 17859380772 18099768320 18295175975 18877492740 19734122400 20135992256 20833963008 21049730560 21359726592 21702044800 21719721984 21954211170 22249715200 22324225965 22624710400 23408947200 23417825248 23596865925 23812507696 25169990320 25259676672 26042453760 26312163200 26699658240 27149652480 27778617344 29272281560 29765634620 30203988384 31462487900 31574595840 32553067200 33374572800 33679568896 33937065600 34723271680 35126737872 35599544320 35718761544 36199536640 36590351950 37207043275 37754985480 39468244800 40271984512 41667926016 42099461120 43404089600 43439443968 43908422340 44499430400 44648451930 45249420800 46835650496 47193731850 47625015392 50339980640 50519353344 52084907520 52624326400 53399316480 54299304960 54885527925 58544563120 59531269240 60407976768 62924975800 63149191680 65106134400 66749145600 67874131200 69446543360 70253475744 71437523088 72399073280 73180703900 74414086550 75509970960 78936489600 80543969024 83335852032 84198922240 86808179200 87816844680 88998860800 89296903860 90498841600 93671300992 94387463700 95250030784 100679961280 101038706688 104169815040 105248652800 106798632960 108598609920 109771055850 111621129825 117089126240 119062538480 120815953536 125849951600 126298383360 130212268800 132457074059 133498291200 135748262400 138893086720 140506951488 142875046176 146361407800 148828173100 151019941920 157872979200 161087938048 168397844480 173616358400 175633689360 177997721600 178593807720 180997683200 187342601984 188774927400 190500061568 201359922560 208339630080 210497305600 217197219840 219542111700 223242259650 234178252480 238125076960 241631907072 251699903200 252596766720 260424537600 264914148118 266996582400 271496524800 281013902976 285750092352 292722815600 297656346200 302039883840 315745958400 322175876096 347232716800 351267378720 357187615440 361995366400 374685203968 377549854800 381000123136 397371222177 402719845120 416679260160 420994611200 439084223400 446484519300 468356504960 476250153920 483263814144 503399806400 505193533440 520849075200 529828296236 533993164800 542993049600 562027805952 571500184704 585445631200 595312692400 604079767680 631491916800 644351752192 662285370295 694465433600 702534757440 714375230880 749370407936 755099709600 762000246272 794742444354 805439690240 841989222400 878168446800 892969038600 936713009920 952500307840 966527628288 1006799612800 1041698150400 1059656592472 1085986099200 1124055611904 1143000369408 1170891262400 1190625384800 1208159535360 1262983833600 1288703504384 1324570740590 1405069514880 1428750461760 1498740815872 1510199419200 1524000492544 1589484888708 1610879380480 1756336893600 1785938077200 1873426019840 1905000615680 1933055256576 1986856110885 2013599225600 2083396300800 2119313184944 2248111223808 2286000738816 2341782524800 2381250769600 2416319070720 2525967667200 2649141481180 2810139029760 2857500923520 2997481631744 3020398838400 3048000985088 3178969777416 3221758760960 3311426851475 3512673787200 3571876154400 3746852039680 3810001231360 3866110513152 3973712221770 4027198451200 4238626369888 4496222447616 4572001477632 4683565049600 4762501539200 4832638141440 5298282962360 5620278059520 5715001847040 6040797676800 6096001970176 6357939554832 6443517521920 6622853702950 7025347574400 7143752308800 7493704079360 7620002462720 7947424443540 8054396902400 8477252739776 8992444895232 9144002955264 9367130099200 9525003078400 9665276282880 9934280554425 10596565924720 11240556119040 11430003694080 12081595353600 12715879109664 13245707405900 14050695148800 14287504617600 14987408158720 15240004925440 15894848887080 16108793804800 16954505479552 18288005910528 18734260198400 19050006156800 19330552565760 19868561108850 21193131849440 22481112238080 22860007388160 24163190707200 25431758219328 26491414811800 28101390297600 28575009235200 30480009850880 31789697774160 32217587609600 33909010959104 37468520396800 38100012313600 39737122217700 42386263698880 44962224476160 45720014776320 48326381414400 50863516438656 52982829623600 56202780595200 57150018470400 63579395548320 67818021918208 74937040793600 76200024627200 79474244435400 84772527397760 91440029552640 96652762828800 101727032877312 105965659247200 112405561190400 114300036940800 127158791096640 135636043836416 152400049254400 158948488870800 169545054795520 203454065754624 211931318494400 224811122380800 228600073881600 254317582193280 271272087672832 317896977741600 339090109591040 406908131509248 423862636988800 457200147763200 508635164386560 542544175345664 635793955483200 678180219182080 813816263018496 847725273977600 1017270328773120 1271587910966400 1356360438364160 1627632526036992 1695450547955200 2034540657546240 2543175821932800 2712720876728320 3390901095910400 4069081315092480 5086351643865600 6781802191820800 8138162630184960 10172703287731200 13563604383641600 20345406575462400 40690813150924800
• Sum of all divisors σ(n): 137129747108215680
• Sum of proper divisors (its aliquot sum) s(n): 96438933957290880
• 40690813150924800 is an abundant number, because the sum of its proper divisors (96438933957290880) is greater than itself. Its abundance is 55748120806366080

Bases of 40690813150924800

• Binary: 10010000100100000001010000110111011110111001000000000000₂
• Hexadecimal: 0x909014377B9000
• Base-36: B4NOTI0ECQO

Squares and roots of 40690813150924800

• 40690813150924800 squared (40690813150924800²) is 1655742274883474650503095255040000
• 40690813150924800 cubed (40690813150924800³) is 67373499533370635482195239876269498267860992000000
• The square root of 40690813150924800 is 201719639.9732182747
• The cube root of 40690813150924800 is 343952.7527472443

Scales and comparisons

• 40,690,813,150,924,800 seconds is equal to 1,293,841,993 years, 13 weeks, 2 hours, 40 minutes.
• To count from 1 to 40,690,813,150,924,800 would take you about three billion, eight hundred eighty-one million, five hundred twenty-five thousand, nine hundred seventy-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 40690813150924800 cubic inches would be around 28662.7 feet tall.

Recreational maths with 40690813150924800

• 40690813150924800 backwards is 00842905131809604
• 40690813150924800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40690813150924800's digits is 60
• More coming soon!