972394873939853312

Names of 972394873939853312

• Cardinal: 972394873939853312 can be written as Nine hundred seventy-two quadrillion, three hundred ninety-four trillion, eight hundred seventy-three billion, nine hundred thirty-nine million, eight hundred fifty-three thousand, three hundred twelve.

Scientific notation

• Scientific notation: 9.72394873939853312 × 10¹⁷

Factors of 972394873939853312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 4590

Divisors of 972394873939853312

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 193 208 256 386 416 512 772 832 1024 1544 1664 1861 2048 2509 2521 3088 3328 3722 4096 5018 5042 6176 6656 7444 8192 10036 10084 12352 13312 14888 16384 20072 20168 24193 24704 26624 29776 32768 32773 40144 40336 48386 49408 53248 59552 65546 80288 80672 96772 98816 106496 119104 131092 160576 161344 193544 197632 212992 238208 262184 321152 322688 359173 387088 395264 425984 476416 486553 524368 642304 645376 718346 774176 790528 952832 973106 1048736 1284608 1290752 1436692 1548352 1581056 1905664 1946212 2097472 2569216 2581504 2873384 3096704 3162112 3811328 3892424 4194944 4669249 4691581 5138432 5163008 5746768 6193408 6324224 6325189 6355441 7622656 7784848 8389888 9338498 9383162 10276864 10326016 11493536 12386816 12650378 12710882 15245312 15569696 16779776 18676996 18766324 20553728 20652032 22987072 24773632 25300756 25421764 30490624 31139392 33559552 37353992 37532648 41107456 41304064 45974144 49547264 50601512 50843528 60981248 60990553 62278784 67119104 74707984 75065296 82214912 82608128 82620733 91948288 99094528 101203024 101687056 121981106 124557568 134238208 149415968 150130592 165241466 183896576 198189056 202406048 203374112 243962212 249115136 268476416 298831936 300261184 330482932 367793152 396378112 404812096 406748224 487924424 498230272 536952832 597663872 600522368 660965864 735586304 792756224 809624192 813496448 905475133 975848848 996460544 1073905664 1195327744 1201044736 1226600113 1321931728 1471172608 1619248384 1626992896 1810950266 1951697696 1992921088 2390655488 2402089472 2453200226 2643863456 2942345216 3238496768 3253985792 3621900532 3903395392 3985842176 4781310976 4804178944 4906400452 5287726912 5884690432 6476993536 6507971584 7243801064 7806790784 7971684352 9562621952 9608357888 9812800904 10575453824 11769380864 11771176729 11827475701 12953987072 13015943168 14487602128 15613581568 15943368704 15945801469 19125243904 19216715776 19625601808 21150907648 23542353458 23654951402 25907974144 26031886336 28975204256 31227163136 31891602938 38250487808 38433431552 39251203616 42301815296 47084706916 47309902804 51815948288 52063772672 57950408512 62454326272 63783205876 76500975616 76866863104 78502407232 84603630592 94169413832 94619805608 103631896576 104127545344 115900817024 124908652544 127566411752 153001951232 153733726208 153757184113 157004814464 169207261184 188338827664 189239611216 207263793152 208255090688 231801634048 249817305088 255132823504 307514368226 314009628928 338414522368 376677655328 378479222432 463603268096 499634610176 510265647008 615028736452 628019257856 676829044736 753355310656 756958444864 927206536192 999269220352 1020531294016 1230057472904 1256038515712 1353658089472 1506710621312 1513916889728 1854413072384 1998538440704 2041062588032 2282702810293 2460114945808 2512077031424 2707316178944 3013421242624 3027833779456 3708826144768 4082125176064 4565405620586 4920229891616 5024154062848 6026842485248 6055667558912 7417652289536 8164250352128 9130811241172 9840459783232 10048308125696 12053684970496 12111335117824 14835304579072 16328500704256 18261622482344 19680919566464 20096616251392 24107369940992 24222670235648 29670609158144 29675136533809 32657001408512 36523244964688 39361839132928 40193232502784 48214739881984 48445340471296 59350273067618 65314002817024 73046489929376 78723678265856 96429479763968 96890680942592 118700546135236 130628005634048 146092979858752 157447356531712 192858959527936 193781361885184 237401092270472 261256011268096 292185959717504 314894713063424 385717919055872 387562723770368 474802184540944 522512022536192 584371919435008 629789426126848 949604369081888 1168743838870016 1259578852253696 1899208738163776 2337487677740032 2519157704507392 3798417476327552 4674975355480064 5038315409014784 7596834952655104 9349950710960128 15193669905310208 18699901421920256 30387339810620416 37399802843840512 60774679621240832 74799605687681024 121549359242481664 243098718484963328 486197436969926656 972394873939853312
• Sum of all divisors σ(n): 2107175665489884360
• Sum of proper divisors (its aliquot sum) s(n): 1134780791550031048
• 972394873939853312 is an abundant number, because the sum of its proper divisors (1134780791550031048) is greater than itself. Its abundance is 162385917610177736

Bases of 972394873939853312

• Binary: 110101111110101000111111110001100010100110001000000000000000₂
• Hexadecimal: 0xD7EA3FC62988000
• Base-36: 7DYL7Q5O5DKW

Squares and roots of 972394873939853312

• 972394873939853312 squared (972394873939853312²) is 945551790864503213805063000077369344
• 972394873939853312 cubed (972394873939853312³) is 919449714481291145107600771446565136424345146205667328
• The square root of 972394873939853312 is 986100843.6969584665
• The cube root of 972394873939853312 is 990712.2969420347

Scales and comparisons

• 972,394,873,939,853,312 seconds is equal to 30,919,149,176 years, 23 weeks, 4 days, 18 hours, 48 minutes, 32 seconds.
• To count from 1 to 972,394,873,939,853,312 would take you about ninety-two billion, seven hundred fifty-seven million, four hundred forty-seven 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 972394873939853312 cubic inches would be around 82559.4 feet tall.

Recreational maths with 972394873939853312

• 972394873939853312 backwards is 213358939378493279
• The number of decimal digits it has is: 18
• The sum of 972394873939853312's digits is 95
• More coming soon!