122968137014190125
122,968,137,014,190,125 is an odd composite number composed of five prime numbers multiplied together.
122968137014190125 is an odd 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 122968137014190125:
53 × 72 × 172 × 532 × 49732
(5 × 5 × 5 × 7 × 7 × 17 × 17 × 53 × 53 × 4973 × 4973)See below for interesting mathematical facts about the number 122968137014190125 from the Numbermatics database.
Names of 122968137014190125
- Cardinal: 122968137014190125 can be written as One hundred twenty-two quadrillion, nine hundred sixty-eight trillion, one hundred thirty-seven billion, fourteen million, one hundred ninety thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.22968137014190125 × 1017
Factors of 122968137014190125
Divisors of 122968137014190125
- Number of divisors d(n): 324
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Complete list of divisors:
1 5 7 17 25 35 49 53 85 119 125 175 245 265 289 371 425 595 833 875 901 1225 1325 1445 1855 2023 2125 2597 2809 2975 4165 4505 4973 6125 6307 6625 7225 9275 10115 12985 14045 14161 14875 15317 19663 20825 22525 24865 31535 34811 36125 44149 46375 47753 50575 64925 70225 70805 76585 84541 98315 104125 107219 112625 124325 137641 157675 174055 220745 238765 243677 252875 263569 324625 334271 351125 354025 382925 422705 491575 536095 591787 621625 688205 750533 788375 811801 870275 1103725 1193825 1218385 1317845 1437197 1671355 1770125 1844983 1914625 2113525 2339897 2457875 2680475 2958935 3441025 3752665 4059005 4142509 4351375 4480673 5518625 5682607 5969125 6091925 6589225 7185985 8356775 9224915 10060379 10567625 11699485 12914881 13402375 13969157 14794675 17205125 18763325 20295025 20712545 22403365 24730729 28413035 30459625 31364711 32946125 35929925 39778249 41783875 46124575 50301895 58497425 64574405 69845785 70422653 73973375 76171441 93816625 97784099 101475125 103562725 112016825 123653645 142065175 156823555 173115103 179649625 198891245 219552977 230622875 237475669 251509475 292487125 322872025 349228925 352113265 380857205 420422393 488920495 517813625 533200087 560084125 618268225 684488693 710325875 784117775 865575515 994456225 1097764885 1187378345 1211805721 1257547375 1310728637 1614360125 1662329683 1746144625 1760566325 1904286025 2102111965 2444602475 2666000435 2942956751 3091341125 3422443465 3732400609 3920588875 4037086373 4327877575 4972281125 5488824425 5936891725 6059028605 6553643185 7147180681 8311648415 8802831625 9175100459 9521430125 10510559825 11636307781 12223012375 13330002175 14714783755 17112217325 18662003045 20185431865 20600697257 21639387875 22282386829 27444122125 28259604611 29684458625 30295143025 32768215925 35735903405 41558242075 45875502295 50030264767 52552799125 58181538905 64225703213 66650010875 69468617761 73573918775 85561086625 93310015225 100927159325 103003486285 111411934145 141298023055 151475715125 155976707803 163841079625 178679517025 197817232277 207791210375 229377511475 250151323835 290907694525 321128516065 347343088805 350211853369 367869593875 378800576093 466550076125 486280324327 504635796625 515017431425 557059670725 706490115275 779883539015 893397585125 989086161385 1091836954621 1146887557375 1180966501937 1250756619175 1454538472625 1605642580325 1736715444025 1751059266845 1894002880465 2431401621635 2575087157125 2651604032651 2785298353625 3403962270289 3532450576375 3899417695075 4945430806925 5459184773105 5904832509685 6253783095875 8028212901625 8266765513559 8683577220125 8755296334225 9470014402325 12157008108175 13258020163255 17019811351445 18561228228557 19497088475375 20076430532929 24727154034625 27295923865525 29524162548425 41333827567795 43776481671125 47350072011625 57867358594913 60785040540875 66290100816275 85099056757225 92806141142785 100382152664645 136479619327625 140535013730503 147620812742125 206669137838975 289336792974565 331450504081375 425495283786125 464030705713925 501910763323225 702675068652515 983745096113521 1033345689194875 1446683964872825 2320153528569625 2509553816616125 3513375343262575 4918725480567605 7233419824364125 17566876716312875 24593627402838025 122968137014190125
- Sum of all divisors σ(n): 193322959633410516
- Sum of proper divisors (its aliquot sum) s(n): 70354822619220391
- 122968137014190125 is a deficient number, because the sum of its proper divisors (70354822619220391) is less than itself. Its deficiency is 52613314394969734
Bases of 122968137014190125
- Binary: 1101101001101111011011110011111010110110000100000001011012
- Hexadecimal: 0x1B4DEDE7D6C202D
- Base-36: XMSKEA31CFH
Squares and roots of 122968137014190125
- 122968137014190125 squared (1229681370141901252) is 15121162720740635470295609647515625
- 122968137014190125 cubed (1229681370141901253) is 1859421209257898393131019667537151572490077658203125
-
The
square root of 122968137014190125 is 350668129.4531770319 -
The
cube root of 122968137014190125 is 497276.0363452695
Scales and comparisons
How big is 122968137014190125?- 122,968,137,014,190,125 seconds is equal to 3,910,006,391 years, 32 weeks, 5 days, 3 hours, 2 minutes, 5 seconds.
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To count from 1 to 122,968,137,014,190,125 would take you about eleven billion, seven hundred thirty million, nineteen thousand, one hundred seventy-four 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 122968137014190125 cubic inches would be around 41439.7 feet tall.
Recreational maths with 122968137014190125
- 122968137014190125 backwards is 521091410731869221
- The number of decimal digits it has is: 18
- The sum of 122968137014190125's digits is 62
- More coming soon!
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