768438231171072
768,438,231,171,072 is an even composite number composed of six prime numbers multiplied together.
768438231171072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 768438231171072:
216 × 3 × 7 × 112 × 17 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 521 × 521)See below for interesting mathematical facts about the number 768438231171072 from the Numbermatics database.
Names of 768438231171072
- Cardinal: 768438231171072 can be written as Seven hundred sixty-eight trillion, four hundred thirty-eight billion, two hundred thirty-one million, one hundred seventy-one thousand and seventy-two.
Scientific notation
- Scientific notation: 7.68438231171072 × 1014
Factors of 768438231171072
Divisors of 768438231171072
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 51 56 64 66 68 77 84 88 96 102 112 119 121 128 132 136 154 168 176 187 192 204 224 231 238 242 256 264 272 308 336 352 357 363 374 384 408 448 462 476 484 512 521 528 544 561 616 672 704 714 726 748 768 816 847 896 924 952 968 1024 1042 1056 1088 1122 1232 1309 1344 1408 1428 1452 1496 1536 1563 1632 1694 1792 1848 1904 1936 2048 2057 2084 2112 2176 2244 2464 2541 2618 2688 2816 2856 2904 2992 3072 3126 3264 3388 3584 3647 3696 3808 3872 3927 4096 4114 4168 4224 4352 4488 4928 5082 5236 5376 5632 5712 5731 5808 5984 6144 6171 6252 6528 6776 7168 7294 7392 7616 7744 7854 8192 8228 8336 8448 8704 8857 8976 9856 10164 10472 10752 10941 11264 11424 11462 11616 11968 12288 12342 12504 13056 13552 14336 14399 14588 14784 15232 15488 15708 16384 16456 16672 16896 17193 17408 17714 17952 19712 20328 20944 21504 21882 22528 22848 22924 23232 23936 24576 24684 25008 26112 26571 27104 28672 28798 29176 29568 30464 30976 31416 32768 32912 33344 33792 34386 34816 35428 35904 39424 40117 40656 41888 43008 43197 43764 45056 45696 45848 46464 47872 49152 49368 50016 52224 53142 54208 57344 57596 58352 59136 60928 61952 61999 62832 63041 65536 65824 66688 67584 68772 69632 70856 71808 78848 80234 81312 83776 86016 86394 87528 90112 91392 91696 92928 95744 97427 98304 98736 100032 104448 106284 108416 114688 115192 116704 118272 120351 121856 123904 123998 125664 126082 131648 133376 135168 137544 139264 141712 143616 157696 160468 162624 167552 172032 172788 175056 180224 182784 183392 185856 185997 189123 191488 194854 196608 197472 200064 208896 212568 216832 229376 230384 233408 236544 240702 243712 247808 247996 251328 252164 263296 266752 270336 271441 275088 278528 283424 287232 292281 315392 320936 325248 335104 344064 345576 350112 360448 365568 366784 371712 371994 378246 382976 389708 394944 400128 417792 425136 433664 441287 458752 460768 466816 473088 481404 487424 495616 495992 502656 504328 526592 533504 540672 542882 550176 557056 566848 574464 584562 630784 641872 650496 670208 681989 688128 691152 700224 720896 731136 733568 743424 743988 756492 765952 779416 789888 800256 814323 835584 850272 867328 882574 921536 933632 946176 962808 974848 991232 991984 1005312 1008656 1053184 1067008 1071697 1081344 1085764 1100352 1114112 1133696 1148928 1169124 1261568 1283744 1300992 1323861 1340416 1363978 1376256 1382304 1400448 1462272 1467136 1486848 1487976 1512984 1531904 1558832 1579776 1600512 1628646 1671168 1700544 1734656 1765148 1843072 1867264 1892352 1900087 1925616 1949696 1982464 1983968 2010624 2017312 2045967 2106368 2134016 2143394 2162688 2171528 2200704 2267392 2297856 2338248 2523136 2567488 2601984 2647722 2680832 2727956 2764608 2800896 2924544 2934272 2973696 2975952 2985851 3025968 3063808 3117664 3159552 3201024 3215091 3257292 3342336 3401088 3469312 3530296 3686144 3734528 3784704 3800174 3851232 3899392 3964928 3967936 4021248 4034624 4091934 4212736 4268032 4286788 4343056 4401408 4534784 4595712 4614497 4676496 5046272 5134976 5203968 5295444 5361664 5455912 5529216 5601792 5700261 5849088 5868544 5947392 5951904 5971702 6051936 6127616 6235328 6319104 6402048 6430182 6514584 6802176 6938624 7060592 7372288 7469056 7501879 7569408 7600348 7702464 7798784 7929856 7935872 8042496 8069248 8183868 8425472 8536064 8573576 8686112 8802816 8957553 9069568 9191424 9228994 9352992 10269952 10407936 10590888 10723328 10911824 11058432 11203584 11400522 11698176 11737088 11894784 11903808 11943404 12103872 12255232 12470656 12638208 12804096 12860364 13029168 13604352 13843491 13877248 14121184 14744576 14938112 15003758 15138816 15200696 15404928 15871744 16084992 16138496 16367736 16850944 17072128 17147152 17372224 17605632 17915106 18139136 18382848 18457988 18705984 20539904 20815872 20900957 21181776 21446656 21823648 22116864 22407168 22505637 22801044 23396352 23474176 23789568 23807616 23886808 24207744 24941312 25276416 25608192 25720728 26058336 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138977792 140845056 143320848 145113088 147663904 149647872 152278401 164319232 166526976 167207656 169454208 174589184 176934912 179257344 180045096 182408352 187793408 190460928 191094464 193661952 193808874 197066166 199530496 202211328 203037868 205765824 208466688 217669632 221495856 225938944 229910527 235913216 239009792 240060128 243211136 246478848 250811484 253947904 257359872 258215936 258411832 261883776 262754888 274354432 277955584 281690112 286641696 290226176 295327808 299295744 304556802 328638464 334415312 338908416 349178368 353869824 355316269 358514688 360090192 364816704 375586816 380921856 382188928 387323904 387617748 394132332 399060992 404422656 406075736 411531648 416933376 435339264 442991712 451877888 459821054 471826432 480120256 486422272 492957696 501622968 507895808 516431872 516823664 523767552 525509776 548708864 555911168 558354137 563380224 573283392 580452352 590655616 598591488 609113604 657276928 668830624 677816832 689731581 698356736 707739648 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117714189824 122910785536 124524101632 125071326688 128415479808 132306857984 134084493312 134530502656 136441447296 142938659072 146760548352 151207837696 155933082624 171220639744 176571284736 181921929728 184366178304 186786152448 187606990032 195680731136 198460286976 201795753984 207910776832 210704203776 214407988608 226811756544 235428379648 245821571072 250142653376 256830959616 264613715968 269061005312 272882894592 285877318144 293521096704 302415675392 311866165248 342441279488 353142569472 363843859456 368732356608 373572304896 375213980064 396920573952 403591507968 415821553664 428815977216 453623513088 470856759296 491643142144 500285306752 513661919232 529227431936 538122010624 545765789184 571754636288 587042193408 623732330496 684882558976 706285138944 727687718912 737464713216 750427960128 793841147904 807183015936 831643107328 857631954432 907247026176 941713518592 1000570613504 1027323838464 1058454863872 1076244021248 1091531578368 1143509272576 1247464660992 1369765117952 1412570277888 1455375437824 1474929426432 1500855920256 1587682295808 1614366031872 1663286214656 1715263908864 1883427037184 2001141227008 2054647676928 2116909727744 2152488042496 2183063156736 2287018545152 2494929321984 2825140555776 2910750875648 3001711840512 3175364591616 3228732063744 3326572429312 3430527817728 3766854074368 4002282454016 4109295353856 4366126313472 4574037090304 4989858643968 5650281111552 5821501751296 6003423681024 6350729183232 6457464127488 6861055635456 7533708148736 8004564908032 8732252626944 9148074180608 9979717287936 11300562223104 11643003502592 12006847362048 13722111270912 15067416297472 16009129816064 17464505253888 18296148361216 22601124446208 23286007005184 24013694724096 27444222541824 32018259632128 34929010507776 36592296722432 45202248892416 48027389448192 54888445083648 64036519264256 69858021015552 96054778896384 109776890167296 128073038528512 192109557792768 256146077057024 384219115585536 768438231171072
- Sum of all divisors σ(n): 2730804189470784
- Sum of proper divisors (its aliquot sum) s(n): 1962365958299712
- 768438231171072 is an abundant number, because the sum of its proper divisors (1962365958299712) is greater than itself. Its abundance is 1193927727128640
Bases of 768438231171072
- Binary: 101011101011100011111101111100110100000000000000002
- Hexadecimal: 0x2BAE3F7CD0000
- Base-36: 7KDZNECOAO
Squares and roots of 768438231171072
- 768438231171072 squared (7684382311710722) is 590497315125325891136529629184
- 768438231171072 cubed (7684382311710723) is 453760712346172527776573158577747330227765248
-
The
square root of 768438231171072 is 27720718.4461563333 -
The
cube root of 768438231171072 is 91594.5544763951
Scales and comparisons
How big is 768438231171072?- 768,438,231,171,072 seconds is equal to 24,433,958 years, 42 weeks, 2 days, 22 hours, 11 minutes, 12 seconds.
-
To count from 1 to 768,438,231,171,072 would take you about sixty-one million, eighty-four thousand, eight hundred ninety-seven 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 768438231171072 cubic inches would be around 7632.9 feet tall.
Recreational maths with 768438231171072
- 768438231171072 backwards is 270171132834867
- The number of decimal digits it has is: 15
- The sum of 768438231171072's digits is 60
- More coming soon!
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"Number 768438231171072 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 768438231171072 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/768438231171072/
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The information we have on file for 768438231171072 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 768438231171072, math, Factors of 768438231171072, curriculum, school, college, exams, university, Prime factorization of 768438231171072, STEM, science, technology, engineering, physics, economics, calculator, seven hundred sixty-eight trillion, four hundred thirty-eight billion, two hundred thirty-one million, one hundred seventy-one thousand and seventy-two.