40493945343359200

Names of 40493945343359200

• Cardinal: 40493945343359200 can be written as Forty quadrillion, four hundred ninety-three trillion, nine hundred forty-five billion, three hundred forty-three million, three hundred fifty-nine thousand, two hundred.

Scientific notation

• Scientific notation: 4.04939453433592 × 10¹⁶

Factors of 40493945343359200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1360818

Divisors of 40493945343359200

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 79 80 88 100 110 112 140 154 158 160 175 176 200 220 224 275 280 308 316 350 352 385 395 400 440 550 553 560 616 632 700 770 790 800 869 880 1100 1106 1120 1232 1264 1400 1540 1580 1738 1760 1925 1975 2200 2212 2464 2528 2765 2800 3080 3160 3476 3850 3950 4345 4400 4424 5530 5600 6083 6143 6160 6320 6952 7700 7900 8690 8800 8848 11060 12166 12286 12320 12640 13825 13904 15400 15800 17380 17696 21725 22120 24332 24572 27650 27808 30415 30715 30800 31600 34760 43001 43450 44240 48664 49144 55300 60830 61430 61600 63200 67573 69520 86002 86900 88480 97328 98288 110600 121660 122860 135146 139040 152075 153575 172004 173800 194656 196576 215005 221200 243320 245720 270292 304150 307150 337865 344008 347600 430010 442400 473011 485297 486640 491440 540584 608300 614300 675730 688016 695200 860020 946022 970594 973280 982880 1075025 1081168 1216600 1228600 1351460 1354571 1376032 1689325 1720040 1892044 1941188 2150050 2162336 2365055 2426485 2433200 2457200 2702920 2709142 3378650 3397079 3440080 3784088 3882376 4300100 4730110 4852970 4866400 4914400 5338267 5405840 5418284 6757300 6772855 6794158 6880160 7568176 7764752 8600200 9460220 9481997 9705940 10676534 10811680 10836568 11825275 12132425 13514600 13545710 13588316 14900281 15136352 15529504 16985395 17200400 18920440 18963994 19411880 21353068 21673136 23650550 24264850 26691335 27029200 27091420 27176632 29800562 33864275 33970790 34400800 37367869 37840880 37927988 38823760 42706136 43346272 47301100 47409985 48529700 53382670 54058400 54182840 54353264 59601124 67728550 67941580 74501405 74735738 75681760 75855976 77647520 84926975 85412272 94602200 94819970 97059400 104301967 106765340 107011109 108365680 108706528 119202248 133456675 135457100 135883160 149002810 149471476 151711952 169853950 170824544 186839345 189204400 189639940 194118800 208603934 213530680 214022218 216731360 237049925 238404496 266913350 270914200 271766320 298005620 298942952 303423904 339707900 372507025 373678690 378408800 379279880 388237600 417207868 427061360 428044436 474099850 476808992 521509835 533826700 535055545 541828400 543532640 596011240 597885904 679415800 745014050 747357380 749077763 758559760 834415736 854122720 856088872 934196725 948199700 1043019670 1067653400 1070111090 1083656800 1177122199 1192022480 1195771808 1358831600 1490028100 1494714760 1498155526 1517119520 1668831472 1712177744 1868393450 1896399400 2086039340 2135306800 2140222180 2354244398 2384044960 2607549175 2675277725 2717663200 2980056200 2989429520 2996311052 3337662944 3424355488 3736786900 3745388815 3792798800 4172078680 4270613600 4280444360 4708488796 5215098350 5350555450 5885610995 5960112400 5978859040 5992622104 7473573800 7490777630 7585597600 8239855393 8321129653 8344157360 8560888720 9416977592 10430196700 10701110900 11771221990 11920224800 11985244208 14947147600 14981555260 16479710786 16642259306 16688314720 17121777440 18726944075 18833955184 20860393400 21402221800 23542443980 23970488416 29428054975 29894295200 29963110520 32959421572 33284518612 37453888150 37667910368 41199276965 41605648265 41720786800 42804443600 47084887960 58247907571 58856109950 59926221040 65918843144 66569037224 74907776300 82398553930 83211296530 83441573600 85608887200 91532426183 94169775920 116495815142 117712219900 119852442080 131837686288 133138074448 149815552600 164797107860 166422593060 183064852366 188339551840 205996384825 208028241325 232991630284 235424439800 263675372576 266276148896 291239537855 299631105200 329594215720 332845186120 366129704732 411992769650 416056482650 457662130915 465983260568 470848879600 582479075710 599262210400 640726983281 657369242587 659188431440 665690372240 732259409464 823985539300 832112965300 915324261830 931966521136 941697759200 1164958151420 1281453966562 1314738485174 1318376862880 1331380744480 1456197689275 1464518818928 1647971078600 1664225930600 1830648523660 1863933042272 2288310654575 2329916302840 2562907933124 2629476970348 2912395378550 2929037637856 3203634916405 3286846212935 3295942157200 3328451861200 3661297047320 4576621309150 4601584698109 4659832605680 5125815866248 5258953940696 5824790757100 6407269832810 6573692425870 6591884314400 6656903722400 7231061668457 7322594094640 9153242618300 9203169396218 9319665211360 10251631732496 10517907881392 11649581514200 12814539665620 13147384851740 14462123336914 14645188189280 16018174582025 16434231064675 18306485236600 18406338792436 20503263464992 21035815762784 23007923490545 23299163028400 25629079331240 26294769703480 28924246673828 32036349164050 32868462129350 36155308342285 36612970473200 36812677584872 46015846981090 46598326056800 50617431679199 51258158662480 52589539406960 57848493347656 64072698328100 65736924258700 72310616684570 73225940946400 73625355169744 92031693962180 101234863358398 102516317324960 105179078813920 115039617452725 115696986695312 128145396656200 131473848517400 144621233369140 147250710339488 180776541711425 184063387924360 202469726716796 230079234905450 231393973390624 253087158395995 256290793312400 262947697034800 289242466738280 361553083422850 368126775848720 404939453433592 460158469810900 506174316791990 512581586624800 525895394069600 578484933476560 723106166845700 736253551697440 809878906867184 920316939621800 1012348633583980 1156969866953120 1265435791979975 1446212333691400 1619757813734368 1840633879243600 2024697267167960 2530871583959950 2892424667382800 3681267758487200 4049394534335920 5061743167919900 5784849334765600 8098789068671840 10123486335839800 20246972671679600 40493945343359200
• Sum of all divisors σ(n): 124829365929246720
• Sum of proper divisors (its aliquot sum) s(n): 84335420585887520
• 40493945343359200 is an abundant number, because the sum of its proper divisors (84335420585887520) is greater than itself. Its abundance is 43841475242528320

Bases of 40493945343359200

• Binary: 10001111110111010000011101011011101111101011100011100000₂
• Hexadecimal: 0x8FDD075BBEB8E0
• Base-36: B2PWLOER0F4

Squares and roots of 40493945343359200

• 40493945343359200 squared (40493945343359200²) is 1639759609470962237983540224640000
• 40493945343359200 cubed (40493945343359200³) is 66400336002165171662244406026097789500210688000000
• The square root of 40493945343359200 is 201231074.4973529181
• The cube root of 40493945343359200 is 343397.1586990829

Scales and comparisons

• 40,493,945,343,359,200 seconds is equal to 1,287,582,205 years, 47 weeks, 6 days, 13 hours, 6 minutes, 40 seconds.
• To count from 1 to 40,493,945,343,359,200 would take you about three billion, eight hundred sixty-two million, seven hundred forty-six thousand, six hundred seventeen 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 40493945343359200 cubic inches would be around 28616.4 feet tall.

Recreational maths with 40493945343359200

• 40493945343359200 backwards is 00295334354939404
• The number of decimal digits it has is: 17
• The sum of 40493945343359200's digits is 67
• More coming soon!