1006423216128
1,006,423,216,128 is an even composite number composed of six prime numbers multiplied together.
1006423216128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 1006423216128:
212 × 32 × 11 × 23 × 29 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 23 × 29 × 61 × 61)See below for interesting mathematical facts about the number 1006423216128 from the Numbermatics database.
Names of 1006423216128
- Cardinal: 1006423216128 can be written as One trillion, six billion, four hundred twenty-three million, two hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.006423216128 × 1012
Factors of 1006423216128
Divisors of 1006423216128
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 29 32 33 36 44 46 48 58 61 64 66 69 72 87 88 92 96 99 116 122 128 132 138 144 174 176 183 184 192 198 207 232 244 253 256 261 264 276 288 319 348 352 366 368 384 396 414 464 488 506 512 522 528 549 552 576 638 667 671 696 704 732 736 759 768 792 828 928 957 976 1012 1024 1044 1056 1098 1104 1152 1276 1334 1342 1392 1403 1408 1464 1472 1518 1536 1584 1656 1769 1856 1914 1952 2001 2013 2024 2048 2088 2112 2196 2208 2277 2304 2552 2668 2684 2784 2806 2816 2871 2928 2944 3036 3072 3168 3312 3538 3712 3721 3828 3904 4002 4026 4048 4096 4176 4209 4224 4392 4416 4554 4608 5104 5307 5336 5368 5568 5612 5632 5742 5856 5888 6003 6039 6072 6144 6336 6624 7076 7337 7424 7442 7656 7808 8004 8052 8096 8352 8418 8448 8784 8832 9108 9216 10208 10614 10672 10736 11136 11163 11224 11264 11484 11712 11776 12006 12078 12144 12288 12627 12672 13248 14152 14674 14848 14884 15312 15433 15616 15921 16008 16104 16192 16704 16836 16896 17568 17664 18216 18432 19459 20416 21228 21344 21472 22011 22272 22326 22448 22528 22968 23424 23552 24012 24156 24288 25254 25344 26496 28304 29348 29696 29768 30624 30866 31232 31842 32016 32208 32384 33408 33489 33672 33792 35136 35328 36432 36864 38918 40687 40832 40931 42456 42688 42944 44022 44544 44652 44896 45056 45936 46299 46848 47104 48024 48312 48576 50508 50688 52992 56608 58377 58696 59392 59536 61248 61732 62464 63684 64032 64416 64768 66033 66816 66978 67344 67584 70272 70656 72864 77836 81374 81664 81862 84912 85376 85583 85888 88044 89088 89304 89792 91872 92598 93696 94208 96048 96624 97152 101016 101376 105984 107909 113216 116754 117392 118784 119072 122061 122496 122793 123464 124928 127368 128064 128832 129536 132066 133632 133956 134688 135168 138897 140544 141312 145728 155672 162748 163328 163724 169824 170752 171166 171776 175131 176088 178176 178608 179584 183744 185196 187392 192096 193248 194304 202032 202752 211968 215818 226432 233508 234784 238144 244122 244992 245586 246928 249856 254736 256128 256749 257664 259072 264132 267264 267912 269376 277794 281088 282624 291456 311344 323727 325496 326656 327448 339648 341504 342332 343552 350262 352176 356352 357216 359168 366183 367488 368379 370392 374784 384192 386496 388608 404064 405504 423936 431636 447557 452864 467016 469568 476288 488244 489984 491172 493856 509472 512256 513498 515328 518144 528264 534528 535824 538752 555588 562176 582912 622688 647454 650992 653312 654896 679296 683008 684664 687104 700524 704352 714432 718336 732366 734976 736758 740784 749568 768384 770247 772992 777216 808128 847872 863272 895114 905728 934032 939136 941413 952576 971181 976488 979968 982344 987712 1018944 1024512 1026996 1030656 1036288 1056528 1069056 1071648 1077504 1111176 1124352 1165824 1186999 1245376 1294908 1301984 1306624 1309792 1342671 1358592 1366016 1369328 1374208 1401048 1408704 1428864 1436672 1464732 1469952 1473516 1481568 1536768 1540494 1545984 1554432 1616256 1726544 1790228 1811456 1868064 1878272 1882826 1905152 1942362 1952976 1959936 1964688 1975424 2037888 2049024 2053992 2061312 2113056 2143296 2155008 2222352 2248704 2331648 2373998 2481907 2490752 2589816 2603968 2619584 2685342 2717184 2732032 2738656 2748416 2802096 2817408 2824239 2857728 2873344 2929464 2939904 2947032 2963136 3073536 3080988 3091968 3108864 3232512 3453088 3560997 3580456 3622912 3736128 3756544 3765652 3810304 3884724 3905952 3919872 3929376 3950848 4028013 4075776 4098048 4107984 4122624 4226112 4286592 4310016 4444704 4663296 4747996 4963814 4981504 5179632 5207936 5239168 5370684 5434368 5477312 5604192 5634816 5648478 5715456 5746688 5858928 5879808 5894064 5926272 6147072 6161976 6183936 6465024 6906176 7121994 7160912 7245824 7445721 7472256 7513088 7531304 7620608 7769448 7811904 7858752 7901696 8056026 8151552 8196096 8215968 8245248 8452224 8472717 8573184 8620032 8889408 9326592 9495992 9927628 9963008 10359264 10415872 10478336 10682991 10741368 10868736 10954624 11208384 11269632 11296956 11430912 11717856 11759616 11788128 11852544 12294144 12323952 12367872 12930048 13812352 14243988 14321824 14891442 14944512 15026176 15062608 15241216 15538896 15623808 15717504 15803392 16112052 16303104 16431936 16904448 16945434 17146368 17240064 17778816 18991984 19855256 19926016 20718528 20831744 20956672 21365982 21482736 21737472 21909248 22337163 22416768 22539264 22593912 22861824 23435712 23576256 23705088 24588288 24647904 24735744 25860096 27300977 27624704 28487976 28643648 29782884 29889024 30052352 30125216 31077792 31247616 31435008 31606784 32224104 32606208 32863872 33808896 33890868 34292736 35557632 37983968 39710512 39852032 41437056 41663488 41913344 42731964 42965472 43818496 44674326 44833536 45078528 45187824 45723648 46871424 47152512 47410176 49295808 51720192 54601954 55249408 56975952 57287296 59565768 59778048 60250432 62155584 62495232 62870016 63213568 64448208 65212416 65727744 67617792 67781736 68585472 71115264 75967936 79421024 79704064 81902931 82874112 83326976 83826688 85463928 85930944 87636992 89348652 89667072 90157056 90375648 93742848 94305024 94820352 98591616 109203908 110498816 113951904 114574592 119131536 119556096 120500864 124311168 124990464 125740032 128896416 131455488 135235584 135563472 137170944 142230528 151935872 158842048 163805862 165748224 166653952 167653376 170927856 171861888 175273984 178697304 179334144 180751296 187485696 188610048 189640704 197183232 218407816 220997632 227903808 229149184 238263072 239112192 241001728 245708793 248622336 249980928 251480064 257792832 262910976 270471168 271126944 284461056 303871744 317684096 327611724 331496448 341855712 343723776 350547968 357394608 358668288 361502592 374971392 377220096 394366464 436815632 441995264 455807616 458298368 476526144 482003456 491417586 497244672 499961856 502960128 515585664 525821952 542253888 568922112 607743488 635368192 655223448 662992896 683711424 687447552 714789216 717336576 723005184 749942784 754440192 788732928 873631264 911615232 916596736 953052288 964006912 982835172 994489344 1031171328 1051643904 1084507776 1215486976 1270736384 1310446896 1325985792 1367422848 1374895104 1429578432 1446010368 1499885568 1508880384 1577465856 1747262528 1823230464 1833193472 1906104576 1928013824 1965670344 1988978688 2062342656 2169015552 2430973952 2541472768 2620893792 2734845696 2749790208 2859156864 2892020736 3154931712 3494525056 3646460928 3812209152 3856027648 3931340688 3977957376 4124685312 4338031104 4861947904 5082945536 5241787584 5469691392 5499580416 5718313728 5784041472 6989050112 7292921856 7624418304 7862681376 8249370624 8676062208 10165891072 10483575168 10939382784 11436627456 11568082944 13978100224 14585843712 15248836608 15725362752 16498741248 17352124416 20967150336 21878765568 22873254912 27956200448 30497673216 31450725504 34704248832 41934300672 43757531136 45746509824 55912400896 62901451008 83868601344 91493019648 111824801792 125802902016 167737202688 251605804032 335474405376 503211608064 1006423216128
- Sum of all divisors σ(n): 3480409632960
- Sum of proper divisors (its aliquot sum) s(n): 2473986416832
- 1006423216128 is an abundant number, because the sum of its proper divisors (2473986416832) is greater than itself. Its abundance is 1467563200704
Bases of 1006423216128
- Binary: 11101010010100110111111110010000000000002
- Hexadecimal: 0xEA537F9000
- Base-36: CUCEEBK0
Squares and roots of 1006423216128
- 1006423216128 squared (10064232161282) is 1012887689961426999312384
- 1006423216128 cubed (10064232161283) is 1019393686507439900912261949818929152
-
The
square root of 1006423216128 is 1003206.4673475745 -
The
cube root of 1006423216128 is 10021.3650414193
Scales and comparisons
How big is 1006423216128?- 1,006,423,216,128 seconds is equal to 32,001 years, 7 weeks, 3 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 1,006,423,216,128 would take you about eighty thousand and two 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 1006423216128 cubic inches would be around 835.1 feet tall.
Recreational maths with 1006423216128
- 1006423216128 backwards is 8216123246001
- 1006423216128 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1006423216128's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1006423216128 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 1006423216128 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/1006423216128/
Chicago style:
Numbermatics. 2024. "Number 1006423216128 - Facts about the integer". https://numbermatics.com/n/1006423216128/
The information we have on file for 1006423216128 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 1006423216128, math, Factors of 1006423216128, curriculum, school, college, exams, university, Prime factorization of 1006423216128, STEM, science, technology, engineering, physics, economics, calculator, one trillion, six billion, four hundred twenty-three million, two hundred sixteen thousand, one hundred twenty-eight.