1972142466215908800

Names of 1972142466215908800

• Cardinal: 1972142466215908800 can be written as One quintillion, nine hundred seventy-two quadrillion, one hundred forty-two trillion, four hundred sixty-six billion, two hundred fifteen million, nine hundred eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.9721424662159088 × 10¹⁸

Factors of 1972142466215908800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2147501061

Divisors of 1972142466215908800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 132 150 160 165 176 192 200 220 240 264 275 300 320 330 352 400 440 480 528 550 600 660 704 800 825 880 960 1056 1100 1200 1320 1600 1650 1760 2112 2200 2400 2640 3300 3520 4400 4800 5280 6600 8800 10560 13200 17393 17600 26400 34786 52179 52800 69572 86965 104358 139144 173930 191323 208716 260895 278288 347860 382646 417432 434825 521790 556576 573969 695720 765292 834864 869650 956615 1043580 1113152 1147938 1304475 1391440 1530584 1669728 1739300 1913230 2087160 2295876 2608950 2782880 2869845 3061168 3339456 3478600 3826460 4174320 4591752 4783075 5217900 5565760 5739690 6122336 6957200 7652920 8348640 9183504 9566150 10435800 11479380 12244672 13914400 14349225 15305840 16697280 18367008 19132300 20871600 22958760 27828800 28698450 30611680 36734016 38264600 41743200 45917520 57396900 61223360 76529200 83486400 91835040 114793800 153058400 183670080 229587600 306116800 459175200 918350400 2147483647 4294967294 6442450941 8589934588 10737418235 12884901882 17179869176 21474836470 23622320117 25769803764 32212254705 34359738352 42949672940 47244640234 51539607528 53687091175 64424509410 68719476704 70866960351 85899345880 94489280468 103079215056 107374182350 118111600585 128849018820 137438953408 141733920702 161061273525 171798691760 188978560936 206158430112 214748364700 236223201170 257698037640 283467841404 322122547050 343597383520 354334801755 377957121872 412316860224 429496729400 472446402340 515396075280 566935682808 590558002925 644245094100 687194767040 708669603510 755914243744 858993458800 944892804680 1030792150560 1133871365616 1181116005850 1288490188200 1417339207020 1511828487488 1717986917600 1771674008775 1889785609360 2061584301120 2267742731232 2362232011700 2576980376400 2834678414040 3435973835200 3543348017550 3779571218720 4535485462464 4724464023400 5153960752800 5669356828080 7086696035100 7559142437440 9448928046800 10307921505600 11338713656160 14173392070200 18897856093600 22677427312320 28346784140400 37351183072271 37795712187200 56693568280800 74702366144542 112053549216813 113387136561600 149404732289084 186755915361355 224107098433626 298809464578168 373511830722710 410863013794981 448214196867252 560267746084065 597618929156336 747023661445420 821726027589962 896428393734504 933779576806775 1120535492168130 1195237858312672 1232589041384943 1494047322890840 1643452055179924 1792856787469008 1867559153613550 2054315068974905 2241070984336260 2390475716625344 2465178082769886 2801338730420325 2988094645781680 3286904110359848 3585713574938016 3735118307227100 4108630137949810 4482141968672520 4930356165539772 5602677460840650 5976189291563360 6162945206924715 6573808220719696 7171427149876032 7470236614454200 8217260275899620 8964283937345040 9860712331079544 10271575344874525 11205354921681300 11952378583126720 12325890413849430 13147616441439392 14940473228908400 16434520551799240 17928567874690080 19721424662159088 20543150689749050 22410709843362600 24651780827698860 26295232882878784 29880946457816800 30814726034623575 32869041103598480 35857135749380160 39442849324318176 41086301379498100 44821419686725200 49303561655397720 59761892915633600 61629452069247150 65738082207196960 78885698648636352 82172602758996200 89642839373450400 98607123310795440 123258904138494300 131476164414393920 164345205517992400 179285678746900800 197214246621590880 246517808276988600 328690411035984800 394428493243181760 493035616553977200 657380822071969600 986071233107954400 1972142466215908800
• Sum of all divisors σ(n): 7058882998422208512
• Sum of proper divisors (its aliquot sum) s(n): 5086740532206299712
• 1972142466215908800 is an abundant number, because the sum of its proper divisors (5086740532206299712) is greater than itself. Its abundance is 3114598065990390912

Bases of 1972142466215908800

• Binary: 1101101011110011101010001111111001001010000110001010111000000₂
• Hexadecimal: 0x1B5E751FC94315C0
• Base-36: EZEI5PNBEX1C

Squares and roots of 1972142466215908800

• 1972142466215908800 squared (1972142466215908800²) is 3889345907052166982572818209917440000
• 1972142466215908800 cubed (1972142466215908800³) is 7670344229100611391231481639683203870328462569472000000
• The square root of 1972142466215908800 is 1404329899.3526801643
• The cube root of 1972142466215908800 is 1254043.9624451133

Scales and comparisons

• 1,972,142,466,215,908,800 seconds is equal to 62,708,030,188 years, 25 weeks, 3 days, 1 hour, 20 minutes.
• To count from 1 to 1,972,142,466,215,908,800 would take you about two hundred nineteen billion, four hundred seventy-eight million, one hundred five thousand, six hundred fifty-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 1972142466215908800 cubic inches would be around 104503.7 feet tall.

Recreational maths with 1972142466215908800

• 1972142466215908800 backwards is 0088095126642412791
• 1972142466215908800 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 1972142466215908800's digits is 75
• More coming soon!