40198993138923840
40,198,993,138,923,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 40198993138923840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1260 divisors.
40198993138923840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 40198993138923840:
26 × 34 × 5 × 132 × 9832 × 9497
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 983 × 983 × 9497)See below for interesting mathematical facts about the number 40198993138923840 from the Numbermatics database.
Names of 40198993138923840
- Cardinal: 40198993138923840 can be written as Forty quadrillion, one hundred ninety-eight trillion, nine hundred ninety-three billion, one hundred thirty-eight million, nine hundred twenty-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.019899313892384 × 1016
Factors of 40198993138923840
Divisors of 40198993138923840
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 169 180 192 195 208 216 234 240 260 270 288 312 320 324 338 351 360 390 405 416 432 468 480 507 520 540 576 585 624 648 676 702 720 780 810 832 845 864 936 960 983 1014 1040 1053 1080 1170 1248 1296 1352 1404 1440 1521 1560 1620 1690 1728 1755 1872 1966 2028 2080 2106 2160 2340 2496 2535 2592 2704 2808 2880 2949 3042 3120 3240 3380 3510 3744 3932 4056 4160 4212 4320 4563 4680 4915 5070 5184 5265 5408 5616 5898 6084 6240 6480 6760 7020 7488 7605 7864 8112 8424 8640 8847 9126 9360 9497 9830 10140 10530 10816 11232 11796 12168 12480 12779 12960 13520 13689 14040 14745 15210 15728 16224 16848 17694 18252 18720 18994 19660 20280 21060 22464 22815 23592 24336 25558 25920 26541 27040 27378 28080 28491 29490 30420 31456 32448 33696 35388 36504 37440 37988 38337 39320 40560 42120 44235 45630 47184 47485 48672 51116 53082 54080 54756 56160 56982 58980 60840 62912 63895 67392 68445 70776 73008 75976 76674 78640 79623 81120 84240 85473 88470 91260 94368 94970 97344 102232 106164 109512 112320 113964 115011 117960 121680 123461 127790 132705 136890 141552 142455 146016 151952 153348 157280 159246 162240 166127 168480 170946 176940 182520 188736 189940 191685 204464 212328 219024 227928 230022 235920 243360 246922 255580 256419 265410 273780 283104 284910 292032 303904 306696 314560 318492 332254 336960 341892 345033 353880 365040 370383 379880 383370 398115 408928 424656 427365 438048 455856 460044 471840 486720 493844 498381 511160 512838 530820 547560 566208 569820 575055 607808 613392 617305 636984 664508 683784 690066 707760 730080 740766 759760 766740 769257 796230 817856 830635 849312 854730 876096 911712 920088 943680 966289 987688 996762 1022320 1025676 1035099 1061640 1095120 1111149 1139640 1150110 1226784 1234610 1273968 1282095 1329016 1367568 1380132 1415520 1460160 1481532 1495143 1519520 1533480 1538514 1592460 1604993 1661270 1698624 1709460 1725165 1823424 1840176 1851915 1932578 1975376 1993524 2044640 2051352 2070198 2123280 2190240 2222298 2279280 2300220 2453568 2469220 2491905 2547936 2564190 2658032 2735136 2760264 2831040 2898867 2963064 2990286 3039040 3066960 3077028 3184920 3209986 3322540 3333447 3418920 3450330 3680352 3703830 3846285 3865156 3950752 3987048 4089280 4102704 4140396 4246560 4380480 4444596 4485429 4558560 4600440 4814979 4831445 4938440 4983810 5095872 5128380 5175495 5316064 5470272 5520528 5555745 5797734 5926128 5980572 6133920 6154056 6369840 6419972 6645080 6666894 6837840 6900660 7360704 7407660 7475715 7692570 7730312 7901504 7974096 8024965 8205408 8280792 8493120 8696601 8889192 8970858 9117120 9200880 9335551 9629958 9662890 9876880 9967620 10000341 10256760 10350990 10632128 11041056 11111490 11595468 11852256 11961144 12267840 12308112 12561757 12739680 12839944 13290160 13333788 13456287 13675680 13801320 14444937 14494335 14815320 14951430 15385140 15460624 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12621664952 13064227280 13107113604 13227530121 13443193440 13566697560 13867139520 14199373071 14563459560 14697255690 15123592620 15677072736 15777081190 16131832128 16280037072 16383892005 17476151472 17636706828 18088930080 18353693266 18932497428 19417946080 19596340920 19660670406 20164790160 20350046340 20800709280 21706716096 21845189340 22045883535 23301535296 23515609104 23665621785 24197748192 25046210880 25243329904 26128454560 26214227208 26455060242 26886386880 27133395120 27530539899 28398746142 29126919120 29394511380 30247185240 31354145472 31554162380 32560074144 32767784010 34952302944 35273413656 36177860160 36707386532 37864994856 38835892160 39192681840 39321340812 40329580320 40700092680 41601418560 42598119213 43690378680 44091767070 45884233165 47031218208 47331243570 48395496384 49151676015 50486659808 52256909120 52428454416 52910120484 54266790240 55061079798 56797492284 58253838240 58789022760 60494370480 63108324760 65120148288 65535568020 66137650605 69904605888 70546827312 70996865355 73414773064 75729989712 78385363680 78642681624 80659160640 81400185360 82591619697 85196238426 87380757360 88183534140 91768466330 94062436416 94662487140 98303352030 100973319616 104856908832 105820240968 108533580480 110122159596 113594984568 116507676480 117578045520 119299006229 120988740960 126216649520 127794357639 131071136040 132275301210 137652699495 141093654624 141993730710 146829546128 151459979424 156770727360 157285363248 162800370720 165183239394 170392476852 174761514720 176367068280 183536932660 189324974280 196606704060 209713817664 211640481936 212990596065 220244319192 227189969136 235156091040 238598012458 241977481920 247774859091 252433299040 255588715278 262142272080 264550602420 275305398990 282187309248 283987461420 293659092256 302919958848 314570726496 325600741440 330366478788 340784953704 349523029440 352734136560 357897018687 367073865320 378649948560 393213408120 412958098485 423280963872 425981192130 440488638384 454379938272 470312182080 477196024916 495549718182 504866598080 511177430556 524284544160 529101204840 550610797980 567974922840 587318184512 596495031145 629141452992 638971788195 660732957576 681569907408 705468273120 715794037374 734147730640 743324577273 757299897120 786426816240 825916196970 846561927744 851962384260 880977276768 908759876544 954392049832 991099436364 1022354861112 1048569088320 1058202409680 1073691056061 1101221595960 1135949845680 1192990062290 1238874295455 1277943576390 1321465915152 1363139814816 1410936546240 1431588074748 1468295461280 1486649154546 1514599794240 1550887080977 1572853632480 1651832393940 1703924768520 1761954553536 1789485093435 1908784099664 1982198872728 2044709722224 2116404819360 2147382112122 2202443191920 2271899691360 2385980124580 2477748590910 2555887152780 2642931830304 2726279629632 2863176149496 2936590922560 2973298309092 3101774161954 3145707264960 3221073168183 3303664787880 3407849537040 3578970186870 3716622886365 3817568199328 3964397745456 4089419444448 4232809638720 4294764224244 4404886383840 4543799382720 4652661242931 4771960249160 4955497181820 5111774305560 5285863660608 5368455280305 5726352298992 5946596618184 6203548323908 6442146336366 6607329575760 6815699074080 7157940373740 7433245772730 7635136398656 7754435404885 7928795490912 8178838888896 8589528448488 8809772767680 9305322485862 9543920498320 9663219504549 9910994363640 10223548611120 10736910560610 11452704597984 11893193236368 12407096647816 12884292672732 13214659151520 13631398148160 13957983728793 14315880747480 14866491545460 15508870809770 15857590981824 16105365840915 17179056896976 18610644971724 19087840996640 19326439009098 19821988727280 20447097222240 21473821121220 22905409195968 23263306214655 23786386472736 24814193295632 25768585345464 26429318303040 27915967457586 28631761494960 29732983090920 31017741619540 32210731681830 34358113793952 37221289943448 38175681993280 38652878018196 39643977454560 40894194444480 41873951186379 42947642242440 46526612429310 47572772945472 48316097522745 49628386591264 51537170690928 55831934915172 57263522989920 59465966181840 62035483239080 64421463363660 68716227587904 69789918643965 74442579886896 77305756036392 79287954909120 83747902372758 85895284484880 93053224858620 96632195045490 99256773182528 103074341381856 111663869830344 114527045979840 118931932363680 124070966478160 125621853559137 128842926727320 139579837287930 148885159773792 154611512072784 167495804745516 171790568969760 186106449717240 193264390090980 206148682763712 209369755931895 223327739660688 237863864727360 248141932956320 251243707118274 257685853454640 279159674575860 297770319547584 309223024145568 334991609491032 343581137939520 372212899434480 386528780181960 418739511863790 446655479321376 496283865912640 502487414236548 515371706909280 558319349151720 618446048291136 628109267795685 669983218982064 744425798868960 773057560363920 837479023727580 893310958642752 1004974828473096 1030743413818560 1116638698303440 1256218535591370 1339966437964128 1488851597737920 1546115120727840 1674958047455160 2009949656946192 2233277396606880 2512437071182740 2679932875928256 3092230241455680 3349916094910320 4019899313892384 4466554793213760 5024874142365480 6699832189820640 8039798627784768 10049748284730960 13399664379641280 20099496569461920 40198993138923840
- Sum of all divisors σ(n): 155014620667437564
- Sum of proper divisors (its aliquot sum) s(n): 114815627528513724
- 40198993138923840 is an abundant number, because the sum of its proper divisors (114815627528513724) is greater than itself. Its abundance is 74616634389589884
Bases of 40198993138923840
- Binary: 100011101101000011000101011100100101111110111001010000002
- Hexadecimal: 0x8ED0C5725FB940
- Base-36: AZTCQI7O400
Squares and roots of 40198993138923840
- 40198993138923840 squared (401989931389238402) is 1615959049383245962686073320345600
- 40198993138923840 cubed (401989931389238403) is 64959926738938995194365883402905552164760879104000
-
The
square root of 40198993138923840 is 200496865.6586028529 -
The
cube root of 40198993138923840 is 342561.3739488025
Scales and comparisons
How big is 40198993138923840?- 40,198,993,138,923,840 seconds is equal to 1,278,203,638 years, 8 weeks, 5 days, 2 hours, 24 minutes.
-
To count from 1 to 40,198,993,138,923,840 would take you about three billion, eight hundred thirty-four million, six hundred ten thousand, nine hundred fourteen 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 40198993138923840 cubic inches would be around 28546.8 feet tall.
Recreational maths with 40198993138923840
- 40198993138923840 backwards is 04832983139989104
- 40198993138923840 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40198993138923840's digits is 81
- More coming soon!
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"Number 40198993138923840 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 40198993138923840 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/40198993138923840/
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The information we have on file for 40198993138923840 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 40198993138923840, math, Factors of 40198993138923840, curriculum, school, college, exams, university, Prime factorization of 40198993138923840, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, one hundred ninety-eight trillion, nine hundred ninety-three billion, one hundred thirty-eight million, nine hundred twenty-three thousand, eight hundred forty.