146428627968
146,428,627,968 is an even composite number composed of seven prime numbers multiplied together.
146428627968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 146428627968:
210 × 32 × 7 × 17 × 31 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 31 × 59 × 73)See below for interesting mathematical facts about the number 146428627968 from the Numbermatics database.
Names of 146428627968
- Cardinal: 146428627968 can be written as One hundred forty-six billion, four hundred twenty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46428627968 × 1011
Factors of 146428627968
Divisors of 146428627968
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 42 48 51 56 59 62 63 64 68 72 73 84 93 96 102 112 118 119 124 126 128 136 144 146 153 168 177 186 192 204 217 219 224 236 238 248 252 256 272 279 288 292 306 336 354 357 372 384 408 413 434 438 448 472 476 496 504 511 512 527 531 544 558 576 584 612 651 657 672 708 714 744 768 816 826 868 876 896 944 952 992 1003 1008 1022 1024 1054 1062 1071 1088 1116 1152 1168 1224 1239 1241 1302 1314 1344 1416 1428 1488 1533 1536 1581 1632 1652 1736 1752 1792 1829 1888 1904 1953 1984 2006 2016 2044 2108 2124 2142 2176 2232 2263 2304 2336 2448 2478 2482 2604 2628 2688 2832 2856 2976 3009 3066 3072 3162 3264 3304 3472 3504 3584 3658 3689 3717 3723 3776 3808 3906 3968 4012 4032 4088 4216 4248 4284 4307 4352 4464 4526 4599 4608 4672 4743 4896 4956 4964 5208 5256 5376 5487 5664 5712 5952 6018 6132 6324 6528 6608 6789 6944 7008 7021 7168 7316 7378 7434 7446 7552 7616 7812 7936 8024 8064 8176 8432 8496 8568 8614 8687 8704 8928 9027 9052 9198 9216 9344 9486 9792 9912 9928 10416 10512 10752 10974 11067 11169 11328 11424 11904 12036 12264 12648 12803 12921 13056 13216 13578 13888 14016 14042 14632 14756 14868 14892 15104 15232 15624 15841 15872 16048 16128 16352 16461 16864 16992 17136 17228 17374 17408 17856 18054 18104 18396 18688 18972 19584 19824 19856 20367 20832 21024 21063 21504 21948 22134 22338 22656 22848 23808 24072 24528 25296 25606 25842 26061 26112 26432 27156 27776 28032 28084 29264 29512 29736 29784 30149 30208 30464 31093 31248 31682 31744 32096 32256 32704 32922 33201 33728 33984 34272 34456 34748 35712 36108 36208 36792 37376 37944 38409 38471 38763 39168 39648 39712 40734 41664 42048 42126 43896 44268 44676 45312 45696 47523 47616 48144 49056 50592 51212 51684 52122 52224 52864 54312 55552 56064 56168 58528 59024 59472 59568 60298 60416 60928 62186 62496 63189 63364 64192 64512 65408 65844 66402 67456 67968 68544 68912 69496 71424 72216 72416 73219 73584 74752 75888 76818 76942 77526 78183 78336 79296 79424 81468 83328 84096 84252 87792 88536 89352 90447 90624 91392 93279 95046 95232 96288 98112 101184 102424 103368 104244 105728 108624 111104 112128 112336 115227 115413 117056 118048 118944 119136 120596 121856 124372 124992 126378 126728 128384 130816 131688 132804 133517 134912 135936 137088 137824 138992 142569 142848 144432 144832 146438 147168 151776 153636 153884 155052 156366 156672 158592 158848 162936 166656 168192 168504 175584 177072 178704 180894 181248 182784 186558 190092 192576 196224 202368 204848 206736 208488 211456 217248 217651 219657 222208 224256 224672 230454 230826 234112 236096 237888 238272 241192 248744 249984 252756 253456 256768 261632 263376 265608 267034 269297 269824 271341 271872 274176 275648 277984 279837 285138 285696 288864 289664 292876 294336 303552 307272 307768 310104 312732 317184 317696 325872 333312 336384 337008 346239 351168 354144 357408 361788 365568 373116 380184 385152 392448 400551 404736 409696 413472 416976 422912 434496 435302 439314 449344 460908 461652 468224 472192 475776 476544 482384 497488 499968 505512 506912 512533 513536 523264 526752 531216 534068 538594 539648 542682 543744 548352 551296 555968 559674 570276 577728 579328 585752 588672 607104 614544 615536 620208 625464 634368 635392 651744 652953 658971 666624 672768 674016 692478 702336 708288 714816 723576 746232 760368 770304 784896 801102 807891 809472 819392 826944 833952 868992 870604 878628 898688 921816 923304 934619 936448 944384 951552 953088 964768 994976 999936 1011024 1013824 1025066 1027072 1053504 1062432 1068136 1077188 1085364 1096704 1102592 1111936 1119348 1140552 1155456 1158656 1171504 1177344 1201653 1214208 1229088 1231072 1240416 1250928 1268736 1270784 1303488 1305906 1317942 1348032 1384956 1404672 1416576 1429632 1447152 1492464 1520736 1537599 1540608 1569792 1602204 1615782 1618944 1638784 1653888 1667904 1737984 1741208 1757256 1797376 1843632 1846608 1869238 1872896 1888768 1903104 1906176 1929536 1958859 1989952 1999872 2022048 2027648 2050132 2107008 2124864 2136272 2154376 2170728 2205184 2223872 2238696 2269789 2281104 2310912 2317312 2343008 2354688 2403306 2423673 2428416 2458176 2462144 2480832 2501856 2606976 2611812 2635884 2696064 2769912 2803857 2809344 2833152 2859264 2894304 2984928 3041472 3075198 3081216 3204408 3231564 3277568 3307776 3335808 3475968 3482416 3514512 3594752 3687264 3693216 3738476 3777536 3806208 3812352 3859072 3917718 3979904 4044096 4055296 4100264 4214016 4249728 4272544 4308752 4341456 4410368 4447744 4477392 4539578 4562208 4612797 4621824 4686016 4709376 4806612 4847346 4856832 4916352 4924288 4961664 5003712 5213952 5223624 5271768 5392128 5539824 5607714 5618688 5666304 5718528 5788608 5969856 6082944 6150396 6408816 6463128 6555136 6615552 6671616 6809367 6951936 6964832 7029024 7189504 7374528 7386432 7476952 7718144 7835436 7959808 8088192 8110592 8200528 8411571 8428032 8499456 8545088 8617504 8682912 8895488 8954784 9079156 9124416 9225594 9243648 9372032 9613224 9694692 9832704 9848576 9923328 10007424 10427904 10447248 10543536 10784256 11079648 11215428 11332608 11437056 11577216 11939712 12165888 12300792 12817632 12926256 13110272 13231104 13343232 13618734 13929664 14058048 14749056 14772864 14953904 15436288 15670872 15888523 15919616 16176384 16221184 16401056 16823142 16856064 16998912 17090176 17235008 17365824 17909568 18158312 18248832 18451188 18744064 19226448 19389384 19665408 19697152 19846656 20014848 20428101 20855808 20894496 21087072 21568512 22159296 22430856 23154432 23879424 24331776 24601584 25635264 25852512 26686464 27237468 27859328 28116096 29498112 29545728 29907808 30872576 31341744 31777046 31839232 32352768 32802112 33646284 33997824 34180352 34470016 34731648 35819136 36316624 36497664 36902376 37488128 38452896 38778768 39330816 39394304 39693312 40029696 40856202 41788992 42174144 44318592 44861712 46308864 47665569 47758848 48663552 49203168 51270528 51705024 54474936 55718656 56232192 58996224 59091456 59815616 62683488 63554092 64705536 65604224 67292568 68360704 68940032 69463296 71638272 72633248 72995328 73804752 74976256 76905792 77557536 80059392 81712404 83577984 84348288 88637184 89723424 92617728 95331138 95517696 98406336 102541056 103410048 108949872 111437312 112464384 117992448 118182912 119631232 125366976 127108184 131208448 134585136 136721408 137880064 138926592 142996707 143276544 145266496 145990656 147609504 153811584 155115072 163424808 167155968 168696576 177274368 179446848 190662276 196812672 205082112 206820096 217899744 222874624 224928768 239262464 250733952 254216368 262416896 269170272 275760128 277853184 285993414 286553088 290532992 295219008 307623168 310230144 326849616 334311936 337393152 354548736 358893696 381324552 393625344 410164224 413640192 435799488 478524928 501467904 508432736 524833792 538340544 571986828 581065984 590438016 615246336 620460288 653699232 668623872 674786304 717787392 762649104 787250688 827280384 871598976 957049856 1002935808 1016865472 1076681088 1143973656 1162131968 1180876032 1230492672 1240920576 1307398464 1435574784 1525298208 1574501376 1743197952 2005871616 2033730944 2153362176 2287947312 2324263936 2361752064 2481841152 2614796928 2871149568 3050596416 3486395904 4067461888 4306724352 4575894624 4723504128 5229593856 6101192832 6972791808 8134923776 8613448704 9151789248 10459187712 12202385664 16269847552 18303578496 20918375424 24404771328 36607156992 48809542656 73214313984 146428627968
- Sum of all divisors σ(n): 544448286720
- Sum of proper divisors (its aliquot sum) s(n): 398019658752
- 146428627968 is an abundant number, because the sum of its proper divisors (398019658752) is greater than itself. Its abundance is 251591030784
Bases of 146428627968
- Binary: 100010000101111101001110001100000000002
- Hexadecimal: 0x2217D38C00
- Base-36: 1V9NTOG0
Squares and roots of 146428627968
- 146428627968 squared (1464286279682) is 21441343088590951809024
- 146428627968 cubed (1464286279683) is 3139626450253532547774591881183232
-
The
square root of 146428627968 is 382659.9377619769 -
The
cube root of 146428627968 is 5270.7853605019
Scales and comparisons
How big is 146428627968?- 146,428,627,968 seconds is equal to 4,655 years, 50 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 146,428,627,968 would take you about nine thousand, three hundred eleven 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 146428627968 cubic inches would be around 439.2 feet tall.
Recreational maths with 146428627968
- 146428627968 backwards is 869726824641
- 146428627968 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146428627968's digits is 63
- 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 146428627968 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 146428627968 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/146428627968/
Chicago style:
Numbermatics. 2024. "Number 146428627968 - Facts about the integer". https://numbermatics.com/n/146428627968/
The information we have on file for 146428627968 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 146428627968, math, Factors of 146428627968, curriculum, school, college, exams, university, Prime factorization of 146428627968, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-six billion, four hundred twenty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight.