968290427072745216
968,290,427,072,745,216 is an even composite number composed of five prime numbers multiplied together.
968290427072745216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 968290427072745216:
28 × 32 × 112 × 109 × 31864807211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 109 × 31864807211)See below for interesting mathematical facts about the number 968290427072745216 from the Numbermatics database.
Names of 968290427072745216
- Cardinal: 968290427072745216 can be written as Nine hundred sixty-eight quadrillion, two hundred ninety trillion, four hundred twenty-seven billion, seventy-two million, seven hundred forty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 9.68290427072745216 × 1017
Factors of 968290427072745216
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 31864807336
Divisors of 968290427072745216
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 109 121 128 132 144 176 192 198 218 242 256 264 288 327 352 363 384 396 436 484 528 576 654 704 726 768 792 872 968 981 1056 1089 1152 1199 1308 1408 1452 1584 1744 1936 1962 2112 2178 2304 2398 2616 2816 2904 3168 3488 3597 3872 3924 4224 4356 4796 5232 5808 6336 6976 7194 7744 7848 8448 8712 9592 10464 10791 11616 12672 13189 13952 14388 15488 15696 17424 19184 20928 21582 23232 25344 26378 27904 28776 30976 31392 34848 38368 39567 41856 43164 46464 52756 57552 62784 69696 76736 79134 83712 86328 92928 105512 115104 118701 125568 139392 153472 158268 172656 211024 230208 237402 251136 278784 306944 316536 345312 422048 460416 474804 633072 690624 844096 920832 949608 1266144 1381248 1688192 1899216 2532288 2762496 3376384 3798432 5064576 7596864 10129152 15193728 30387456 31864807211 63729614422 95594421633 127459228844 191188843266 254918457688 286783264899 350512879321 382377686532 509836915376 573566529798 701025758642 764755373064 1019673830752 1051538637963 1147133059596 1402051517284 1529510746128 2039347661504 2103077275926 2294266119192 2804103034568 3059021492256 3154615913889 3473263985999 3855641672531 4078695323008 4206154551852 4588532238384 5608206069136 6118042984512 6309231827778 6946527971998 7711283345062 8157390646016 8412309103704 9177064476768 10419791957997 11216412138272 11566925017593 12236085969024 12618463655556 13893055943996 15422566690124 16824618207408 18354128953536 20839583915994 22432824276544 23133850035186 24472171938048 25236927311112 27786111887992 30845133380248 31259375873991 33649236414816 34700775052779 36708257907072 38205903845989 41679167831988 44865648553088 46267700070372 50473854622224 55572223775984 61690266760496 62518751747982 67298472829632 69401550105558 73416515814144 76411807691978 83358335663976 89731297106176 92535400140744 100947709244448 111144447551968 114617711537967 123380533520992 125037503495964 134596945659264 138803100211116 152823615383956 166716671327952 185070800281488 201895418488896 222288895103936 229235423075934 246761067041984 250075006991928 269193891318528 277606200422232 305647230767912 333433342655904 343853134613901 370141600562976 403790836977792 420264942305879 444577790207872 458470846151868 493522134083968 500150013983856 555212400844464 611294461535824 666866685311808 687706269227802 740283201125952 807581673955584 840529884611758 889155580415744 916941692303736 987044268167936 1000300027967712 1110424801688928 1222588923071648 1260794826917637 1333733370623616 1375412538455604 1480566402251904 1681059769223516 1833883384607472 2000600055935424 2220849603377856 2445177846143296 2521589653835274 2667466741247232 2750825076911208 2961132804503808 3362119538447032 3667766769214944 3782384480752911 4001200111870848 4441699206755712 4890355692286592 5043179307670548 5501650153822416 6724239076894064 7335533538429888 7564768961505822 8002400223741696 8883398413511424 9780711384573184 10086358615341096 11003300307644832 13448478153788128 14671067076859776 15129537923011644 20172717230682192 22006600615289664 26896956307576256 29342134153719552 30259075846023288 40345434461364384 44013201230579328 53793912615152512 60518151692046576 80690868922728768 88026402461158656 107587825230305024 121036303384093152 161381737845457536 242072606768186304 322763475690915072 484145213536372608 968290427072745216
- Sum of all divisors σ(n): 3096847886345293080
- Sum of proper divisors (its aliquot sum) s(n): 2128557459272547864
- 968290427072745216 is an abundant number, because the sum of its proper divisors (2128557459272547864) is greater than itself. Its abundance is 1160267032199802648
Bases of 968290427072745216
- Binary: 1101011100000000111100000011011000010001010100001111000000002
- Hexadecimal: 0xD700F0361150F00
- Base-36: 7CU6B5AP5FK0
Squares and roots of 968290427072745216
- 968290427072745216 squared (9682904270727452162) is 937586351160719321530986330450886656
- 968290427072745216 cubed (9682904270727452163) is 907855888382989779106227425403597193968539239182237696
-
The
square root of 968290427072745216 is 984017493.2757777025 -
The
cube root of 968290427072745216 is 989316.4097282847
Scales and comparisons
How big is 968290427072745216?- 968,290,427,072,745,216 seconds is equal to 30,788,640,461 years, 50 weeks, 2 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 968,290,427,072,745,216 would take you about ninety-two billion, three hundred sixty-five million, nine hundred twenty-one thousand, three hundred eighty-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 968290427072745216 cubic inches would be around 82443 feet tall.
Recreational maths with 968290427072745216
- 968290427072745216 backwards is 612547270724092869
- The number of decimal digits it has is: 18
- The sum of 968290427072745216's digits is 81
- More coming soon!
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