468829145825950
468,829,145,825,950 is an even composite number composed of six prime numbers multiplied together.
468829145825950 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 468829145825950:
2 × 52 × 73 × 132 × 1013 × 157
(2 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 101 × 101 × 101 × 157)See below for interesting mathematical facts about the number 468829145825950 from the Numbermatics database.
Names of 468829145825950
- Cardinal: 468829145825950 can be written as Four hundred sixty-eight trillion, eight hundred twenty-nine billion, one hundred forty-five million, eight hundred twenty-five thousand, nine hundred fifty.
Scientific notation
- Scientific notation: 4.6882914582595 × 1014
Factors of 468829145825950
Divisors of 468829145825950
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 5 7 10 13 14 25 26 35 49 50 65 70 91 98 101 130 157 169 175 182 202 245 314 325 338 343 350 455 490 505 637 650 686 707 785 845 910 1010 1099 1183 1225 1274 1313 1414 1570 1690 1715 2041 2198 2275 2366 2450 2525 2626 3185 3430 3535 3925 4082 4225 4459 4550 4949 5050 5495 5915 6370 6565 7070 7693 7850 8281 8450 8575 8918 9191 9898 10201 10205 10990 11830 13130 14287 15386 15857 15925 16562 17069 17150 17675 18382 20402 20410 22295 24745 26533 27475 28574 29575 31714 31850 32825 34138 34643 35350 38465 41405 44590 45955 49490 51005 51025 53066 53851 54950 57967 59150 64337 65650 69286 71407 71435 76930 79285 82810 85345 91910 100009 102010 102050 107702 110999 111475 115934 119483 123725 128674 132613 132665 142814 142870 158570 170690 173215 185731 192325 200018 206141 207025 221998 222950 229775 238966 247450 255025 265226 265330 269255 289835 321685 346430 357035 357175 371462 384650 396425 412282 414050 426725 450359 459550 499849 500045 510050 538510 554995 579670 597415 643370 663065 663325 700063 714070 714350 776993 792850 836381 853450 866075 900718 928291 928655 999698 1000090 1030301 1030705 1109990 1194830 1300117 1326130 1326650 1346275 1400126 1442987 1449175 1553986 1601557 1608425 1672762 1723969 1732150 1785175 1856582 1857310 2060602 2061410 2251795 2499245 2500225 2600234 2679833 2692550 2774975 2885974 2898350 2987075 3203114 3216850 3315325 3447938 3498943 3500315 3570350 3884965 4181905 4503590 4641455 4643275 4998490 5000450 5151505 5153525 5359666 5438951 5549950 5854667 5974150 6498037 6500585 6630650 6997886 7000630 7212107 7214935 7769930 8007785 8363810 8619845 9100819 9282910 9286550 10100909 10303010 10307050 10877902 11210899 11258975 11709334 12067783 12496225 12996074 13001170 13393913 13399165 14424214 14429870 16015570 17239690 17494715 17501575 18201638 18758831 19424825 20201818 20820241 20909525 22421798 22517950 23207275 24135566 24992450 25757525 26787826 26798330 27194755 29273335 32490185 32502925 34989430 35003150 36060535 36074675 37517662 38849650 40038925 41640482 41819050 43099225 45486259 45504095 46414550 50484749 50504545 51515050 54389510 56054495 58546670 60338915 64980370 65005850 66969565 66995825 70706363 72121070 72149350 78476293 80077850 84474481 86198450 87473575 90972518 91008190 93757391 93794155 100969498 101009090 104101205 112108990 120677830 131311817 133939130 133991650 135973775 141412726 145741687 146366675 156952586 161757257 162450925 168948962 174120869 174947150 180302675 187514782 187588310 208202410 227431295 227520475 252423745 252522725 262623634 270663133 271947550 280272475 291483374 292733350 301694575 323514514 324901850 334847825 348241738 353393243 353531815 360605350 392381465 422372405 454862590 455040950 468786955 468970775 504847490 505045450 520506025 541326266 549334051 560544950 591321367 603389150 656301737 656559085 669695650 706786486 707063630 728708435 784762930 808786285 844744810 870604345 919182719 937573910 937941550 1020191809 1041012050 1098668102 1132300799 1137156475 1182642734 1218846083 1262118725 1312603474 1313118170 1353315665 1457416870 1617572570 1741208690 1766966215 1767659075 1838365438 1894641931 1961907325 2040383618 2102844341 2111862025 2264601598 2274312950 2343934775 2437692166 2524237450 2706631330 2746670255 2956606835 3281508685 3282795425 3533932430 3535318150 3643542175 3789283862 3923814650 4043931425 4205688682 4223724050 4353021725 4594112159 4595913595 4687869550 5100959045 5493340510 5661503995 5913213670 6094230415 6563017370 6565590850 6766578325 7141342663 7287084350 7926105593 8087862850 8531922581 8706043450 8834831075 9188224318 9191827190 9473209655 10201918090 10514221705 11323007990 12188460830 13262493517 13533156650 13733351275 14282685326 14719910387 14783034175 15852211186 16407543425 17063845162 17669662150 18946419310 21028443410 22970560795 22979567975 25504795225 26524987034 27336976433 27466702550 28307519975 29439820774 29566068350 30471152075 32815086850 35706713315 39630527965 42659612905 45941121590 45959135950 47366048275 51009590450 52571108525 54673952866 55482739151 56615039950 59723458067 60942304150 66312467585 71413426630 73599551935 79261055930 85319225810 92837454619 94732096550 103039372709 105142217050 110965478302 114852803975 119446916134 132624935170 136684882165 147199103870 178533566575 185674909238 191358835031 198152639825 206078745418 213298064525 229705607950 273369764330 277413695755 298617290335 331562337925 357067133150 367997759675 382717670062 396305279650 426596129050 464187273095 515196863545 554827391510 597234580670 663124675850 683424410825 721275608963 735995519350 928374546190 956794175155 1030393727090 1339511845217 1366848821650 1387068478775 1442551217926 1493086451675 1913588350310 2320936365475 2575984317725 2679023690434 2774136957550 2986172903350 3606378044815 4641872730950 4783970875775 5151968635450 6697559226085 7212756089630 9376582916519 9567941751550 13395118452170 18031890224075 18753165833038 33487796130425 36063780448150 46882914582595 66975592260850 93765829165190 234414572912975 468829145825950
- Sum of all divisors σ(n): 1119274494883200
- Sum of proper divisors (its aliquot sum) s(n): 650445349057250
- 468829145825950 is an abundant number, because the sum of its proper divisors (650445349057250) is greater than itself. Its abundance is 181616203231300
Bases of 468829145825950
- Binary: 11010101001100101110010101011001010000010100111102
- Hexadecimal: 0x1AA65CAB2829E
- Base-36: 4M6P4WM4YM
Squares and roots of 468829145825950
- 468829145825950 squared (4688291458259502) is 219800767975889890307693402500
- 468829145825950 cubed (4688291458259503) is 103049006302024282196785939715855228294875000
-
The
square root of 468829145825950 is 21652462.8120209457 -
The
cube root of 468829145825950 is 77685.1843936181
Scales and comparisons
How big is 468829145825950?- 468,829,145,825,950 seconds is equal to 14,907,316 years, 33 weeks, 6 days, 20 hours, 59 minutes, 10 seconds.
-
To count from 1 to 468,829,145,825,950 would take you about thirty-seven million, two hundred sixty-eight thousand, two hundred ninety-one 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 468829145825950 cubic inches would be around 6473.8 feet tall.
Recreational maths with 468829145825950
- 468829145825950 backwards is 059528541928864
- The number of decimal digits it has is: 15
- The sum of 468829145825950's digits is 76
- More coming soon!
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