828382711954688

Names of 828382711954688

• Cardinal: 828382711954688 can be written as Eight hundred twenty-eight trillion, three hundred eighty-two billion, seven hundred eleven million, nine hundred fifty-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 8.28382711954688 × 10¹⁴

Factors of 828382711954688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 77237

Divisors of 828382711954688

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 11 16 17 22 32 34 44 64 68 88 113 121 128 136 176 181 187 226 242 256 272 352 362 374 452 484 544 704 724 748 904 968 1088 1243 1408 1448 1496 1808 1921 1936 1991 2057 2176 2486 2816 2896 2992 3077 3616 3842 3872 3982 4114 4352 4972 5792 5984 6154 7232 7684 7744 7964 8228 9944 11584 11968 12308 13673 14464 15368 15488 15928 16456 19888 20453 21131 21901 23168 23936 24616 27346 28928 30736 30976 31856 32912 33847 39776 40906 42262 43802 46336 47872 49232 54692 61472 63712 65824 67694 76913 79552 81812 84524 87604 98464 109384 122944 127424 131648 135388 153826 159104 163624 169048 175208 196928 218768 224983 232441 245888 254848 263296 270776 307652 318208 327248 338096 347701 350416 372317 393856 437536 449966 464882 491776 509696 526592 541552 615304 654496 676192 695402 700832 744634 787712 846043 875072 899932 929764 1083104 1230608 1307521 1308992 1352384 1390804 1401664 1489268 1692086 1750144 1799864 1859528 2166208 2461216 2474813 2615042 2617984 2704768 2781608 2803328 2978536 3384172 3500288 3599728 3719056 3824711 4332416 4922432 4949626 5230084 5235968 5409536 5563216 5606656 5957072 6768344 7199456 7438112 7649422 8664832 8691169 9306473 9844864 9899252 10460168 11126432 11914144 13536688 13921253 14382731 14398912 14876224 15298844 17382338 18612946 19689728 19798504 20920336 22252864 23828288 27073376 27842506 28765462 28797824 29752448 30597688 34764676 37225892 39597008 41840672 42071821 44505728 47656576 54146752 55685012 57530924 57595648 59504896 61195376 69529352 74451784 79194016 83681344 84143642 89011456 95313152 95602859 108293504 111370024 115061848 122390752 139058704 147749873 148903568 153133783 158210041 158388032 167362688 168287284 191205718 216587008 222740048 230123696 236661301 244781504 278117408 295499746 297807136 306267566 316420082 316776064 334725376 336574568 382411436 445480096 460247392 473322602 489563008 556234816 590999492 595614272 612535132 632840164 633552128 673149136 764822872 890960192 920494784 946645204 979126016 1051631449 1112469632 1181998984 1191228544 1225070264 1265680328 1346298272 1529645744 1573101589 1625248603 1684471613 1781920384 1840989568 1893290408 2103262898 2224939264 2363997968 2382457088 2450140528 2531360656 2603274311 2692596544 3059291488 3146203178 3250497206 3368943226 3563840768 3681979136 3786580816 4206525796 4727995936 4900281056 5062721312 5206548622 5385193088 6118582976 6292406356 6500994412 6737886452 7573161632 8413051592 9455991872 9800562112 10125442624 10413097244 10770386176 12237165952 12584812712 13001988824 13475772904 15146323264 16826103184 17304117479 17877734633 18911983744 19601124224 20250885248 20826194488 24474331904 25169625424 26003977648 26742727013 26951545808 28636017421 30292646528 33652206368 34608234958 35755469266 37823967488 39202248448 40501770496 41652388976 50339250848 52007955296 53485454026 53903091616 57272034842 60585293056 67304412736 69216469916 71510938532 83304777952 100678501696 104015910592 106970908052 107806183232 114544069684 134608825472 138432939832 143021877064 166609555904 190345292269 201357003392 208031821184 213941816104 215612366464 229088139368 269217650944 276865879664 286043754128 294169997143 333219111808 380690584538 402714006784 416063642368 427883632208 431224732928 458176278736 553731759328 572087508256 588339994286 666438223616 761381169076 855767264416 916352557472 1107463518656 1144175016512 1176679988572 1522762338152 1711534528832 1832705114944 2214927037312 2288350033024 2353359977144 3045524676304 3235869968573 3423069057664 3665410229888 4429854074624 4576700066048 4706719954288 6091049352608 6471739937146 6846138115328 7330820459776 9413439908576 12182098705216 12943479874292 18826879817152 24364197410432 25886959748584 37653759634304 48728394820864 51773919497168 75307519268608 103547838994336 207095677988672 414191355977344 828382711954688
• Sum of all divisors σ(n): 1952210675954448
• Sum of proper divisors (its aliquot sum) s(n): 1123827963999760
• 828382711954688 is an abundant number, because the sum of its proper divisors (1123827963999760) is greater than itself. Its abundance is 295445252045072

Bases of 828382711954688

• Binary: 10111100010110100011100001010010001011110100000000₂
• Hexadecimal: 0x2F168E148BD00
• Base-36: 85MXRIHN28

Squares and roots of 828382711954688

• 828382711954688 squared (828382711954688²) is 686217917465403589109765177344
• 828382711954688 cubed (828382711954688³) is 568451059461889285045088575861641997212188672
• The square root of 828382711954688 is 28781638.4515316989
• The cube root of 828382711954688 is 93916.8841256517

Scales and comparisons

• 828,382,711,954,688 seconds is equal to 26,340,007 years, 45 weeks, 6 days, 20 hours, 18 minutes, 8 seconds.
• To count from 1 to 828,382,711,954,688 would take you about sixty-five million, eight hundred fifty thousand and nineteen 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 828382711954688 cubic inches would be around 7826.4 feet tall.

Recreational maths with 828382711954688

• 828382711954688 backwards is 886459117283828
• The number of decimal digits it has is: 15
• The sum of 828382711954688's digits is 80
• More coming soon!