96966173412966400

Names of 96966173412966400

• Cardinal: 96966173412966400 can be written as Ninety-six quadrillion, nine hundred sixty-six trillion, one hundred seventy-three billion, four hundred twelve million, nine hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 9.69661734129664 × 10¹⁶

Factors of 96966173412966400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2721

Divisors of 96966173412966400

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 193 200 256 320 386 400 512 640 772 800 965 1024 1280 1544 1600 1930 2048 2521 2560 3088 3200 3860 4096 4825 5042 5120 6176 6400 7720 8192 9650 10084 10240 12352 12605 12800 15440 16384 19300 20168 20480 24704 25210 25600 30880 37249 38600 40336 40960 49408 50420 51200 61760 63025 74498 77200 80672 81920 98816 100840 102400 123520 126050 148996 154400 161344 186245 197632 201680 204800 247040 252100 297992 308800 322688 372490 395264 403360 409600 486553 494080 504200 595984 617600 645376 744980 790528 806720 931225 973106 988160 1008400 1191968 1235200 1290752 1489960 1581056 1613440 1862450 1946212 1976320 2016800 2383936 2432765 2470400 2581504 2979920 3162112 3226880 3724900 3892424 3952640 4033600 4767872 4865530 4940800 5163008 5959840 6355441 6453760 7449800 7784848 7905280 8067200 9535744 9731060 9881600 10326016 11919680 12163825 12710882 12907520 14899600 15569696 15810560 16134400 19071488 19462120 19763200 20652032 23839360 24327650 25421764 25815040 29799200 31139392 31777205 32268800 38142976 38924240 39526400 41304064 47678720 48655300 50843528 51630080 59598400 62278784 63554410 64537600 76285952 77848480 79052800 93904729 95357440 97310600 101687056 103260160 119196800 124557568 127108820 129075200 152571904 155696960 158886025 187809458 190714880 194621200 203374112 206520320 238393600 249115136 254217640 258150400 305143808 311393920 317772050 375618916 381429760 389242400 406748224 469523645 476787200 498230272 508435280 516300800 610287616 622787840 635544100 751237832 762859520 778484800 813496448 939047290 953574400 996460544 1016870560 1032601600 1226600113 1245575680 1271088200 1502475664 1525719040 1556969600 1626992896 1878094580 1907148800 1992921088 2033741120 2347618225 2453200226 2491151360 2542176400 3004951328 3051438080 3113939200 3253985792 3756189160 3814297600 3985842176 4067482240 4695236450 4906400452 4982302720 5084352800 6009902656 6133000565 6227878400 6507971584 7512378320 7628595200 7971684352 8134964480 9390472900 9812800904 9964605440 10168705600 12019805312 12266001130 12455756800 13015943168 15024756640 15257190400 16269928960 18780945800 19625601808 19929210880 20337411200 24039610624 24532002260 24911513600 26031886336 30049513280 30665002825 32539857920 37561891600 39251203616 39858421760 40674822400 48079221248 49064004520 49823027200 52063772672 60099026560 61330005650 65079715840 75123783200 78502407232 81349644800 96158442496 98128009040 99646054400 104127545344 120198053120 122660011300 130159431680 150247566400 157004814464 162699289600 192316884992 196256018080 199292108800 236733821809 240396106240 245320022600 260318863360 300495132800 314009628928 325398579200 384633769984 392512036160 473467643618 480792212480 490640045200 520637726720 600990265600 628019257856 650797158400 769267539968 785024072320 946935287236 961584424960 981280090400 1183669109045 1201980531200 1256038515712 1301594316800 1538535079936 1570048144640 1893870574472 1923168849920 1962560180800 2367338218090 2403961062400 2512077031424 2603188633600 3140096289280 3787741148944 3846337699840 3925120361600 4734676436180 4807922124800 5024154062848 5918345545225 6280192578560 7575482297888 7692675399680 7850240723200 9469352872360 9615844249600 10048308125696 11836691090450 12560385157120 15150964595776 15700481446400 18938705744720 19231688499200 20096616251392 23673382180900 25120770314240 30301929191552 31400962892800 37877411489440 38463376998400 47346764361800 50241540628480 60603858383104 62801925785600 75754822978880 94693528723600 100483081256960 121207716766208 125603851571200 151509645957760 189387057447200 242415433532416 251207703142400 303019291915520 378774114894400 484830867064832 502415406284800 606038583831040 757548229788800 969661734129664 1212077167662080 1515096459577600 1939323468259328 2424154335324160 3030192919155200 3878646936518656 4848308670648320 6060385838310400 9696617341296640 12120771676620800 19393234682593280 24241543353241600 48483086706483200 96966173412966400
• Sum of all divisors σ(n): 241817100297224193
• Sum of proper divisors (its aliquot sum) s(n): 144850926884257793
• 96966173412966400 is an abundant number, because the sum of its proper divisors (144850926884257793) is greater than itself. Its abundance is 47884753471291393

Bases of 96966173412966400

• Binary: 101011000011111100011100010010001100000100100000000000000₂
• Hexadecimal: 0x1587E3891824000
• Base-36: QIRN13TO9OG

Squares and roots of 96966173412966400

• 96966173412966400 squared (96966173412966400²) is 9402438786353471941715647528960000
• 96966173412966400 cubed (96966173412966400³) is 911718509862352096271807830371478653783506944000000
• 96966173412966400 is a perfect square number. Its square root is 311393920
• The cube root of 96966173412966400 is 459416.6730282989

Scales and comparisons

• 96,966,173,412,966,400 seconds is equal to 3,083,224,378 years, 24 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 96,966,173,412,966,400 would take you about nine billion, two hundred forty-nine million, six hundred seventy-three thousand, one hundred thirty-five 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 96966173412966400 cubic inches would be around 38284.7 feet tall.

Recreational maths with 96966173412966400

• 96966173412966400 backwards is 00466921437166969
• The number of decimal digits it has is: 17
• The sum of 96966173412966400's digits is 79
• More coming soon!