642442318226688
642,442,318,226,688 is an even composite number composed of five prime numbers multiplied together.
642442318226688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 642442318226688:
28 × 3 × 72 × 313 × 7572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 31 × 31 × 31 × 757 × 757)See below for interesting mathematical facts about the number 642442318226688 from the Numbermatics database.
Names of 642442318226688
- Cardinal: 642442318226688 can be written as Six hundred forty-two trillion, four hundred forty-two billion, three hundred eighteen million, two hundred twenty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 6.42442318226688 × 1014
Factors of 642442318226688
Divisors of 642442318226688
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 84 93 96 98 112 124 128 147 168 186 192 196 217 224 248 256 294 336 372 384 392 434 448 496 588 651 672 744 757 768 784 868 896 961 992 1176 1302 1344 1488 1514 1519 1568 1736 1792 1922 1984 2271 2352 2604 2688 2883 2976 3028 3038 3136 3472 3844 3968 4542 4557 4704 5208 5299 5376 5766 5952 6056 6076 6272 6727 6944 7688 7936 9084 9114 9408 10416 10598 11532 11904 12112 12152 12544 13454 13888 15376 15897 18168 18228 18816 20181 20832 21196 23064 23467 23808 24224 24304 26908 27776 29791 30752 31794 36336 36456 37093 37632 40362 41664 42392 46128 46934 47089 48448 48608 53816 55552 59582 61504 63588 70401 72672 72912 74186 80724 83328 84784 89373 92256 93868 94178 96896 97216 107632 111279 119164 123008 127176 140802 141267 145344 145824 148372 161448 164269 166656 169568 178746 184512 187736 188356 193792 194432 208537 215264 222558 238328 246016 254352 281604 282534 290688 291648 296744 322896 328538 339136 357492 369024 375472 376712 388864 417074 430528 445116 476656 492807 508704 563208 565068 573049 581376 583296 593488 625611 645792 657076 678272 714984 727477 738048 750944 753424 834148 861056 890232 953312 985614 1017408 1126416 1130136 1146098 1149883 1166592 1186976 1251222 1291584 1314152 1356544 1429968 1454954 1459759 1501888 1506848 1668296 1719147 1722112 1780464 1906624 1971228 2034816 2182431 2252832 2260272 2292196 2299766 2373952 2502444 2583168 2628304 2859936 2909908 2919518 3003776 3013696 3336592 3438294 3449649 3560928 3813248 3942456 4011343 4069632 4364862 4379277 4505664 4520544 4584392 4599532 4747904 5004888 5092339 5166336 5256608 5719872 5819816 5839036 6007552 6027392 6673184 6876588 6899298 7121856 7626496 7884912 8022686 8729724 8758554 9011328 9041088 9168784 9199064 9495808 10009776 10184678 10513216 11439744 11639632 11678072 12034029 12054784 13346368 13753176 13798596 14243712 15277017 15769824 16045372 17459448 17517108 17764519 18022656 18082176 18337568 18398128 20019552 20369356 21026432 22551787 22879488 23279264 23356144 24068058 26692736 27506352 27597192 28079401 28487424 30554034 31539648 32090744 34918896 35034216 35529038 35646373 36164352 36675136 36796256 40039104 40738712 42052864 45103574 46558528 46712288 48136116 53293557 53385472 55012704 55194384 56158802 61108068 63079296 64181488 67655361 69837792 70068432 71058076 71292746 73350272 73592512 80078208 81477424 84238203 90207148 93117056 93424576 96272232 106587114 106939119 110025408 110388768 112317604 122216136 124351633 126158592 128362976 135310722 139675584 140136864 142116152 142585492 146700544 147185024 157862509 160156416 162954848 168476406 180414296 186234112 186849152 192544464 213174228 213878238 220050816 220777536 224635208 244432272 248703266 256725952 270621444 279351168 280273728 284232304 285170984 294370048 315725018 325909696 336952812 360828592 373054899 373698304 385088928 426348456 427756476 440101632 441555072 449270416 473587527 488864544 497406532 513451904 541242888 550700089 558702336 560547456 568464608 570341968 631450036 651819392 673905624 721657184 746109798 770177856 852696912 855512952 870461431 883110144 898540832 947175054 977729088 994813064 1026903808 1082485776 1101400178 1105037563 1121094912 1136929216 1140683936 1262900072 1303638784 1347811248 1443314368 1492219596 1540355712 1652100267 1705393824 1711025904 1740922862 1797081664 1894350108 1955458176 1989626128 2164971552 2202800356 2210075126 2273858432 2281367872 2525800144 2611384293 2695622496 2886628736 2984439192 3080711424 3304200534 3315112689 3410787648 3422051808 3481845724 3594163328 3788700216 3854900623 3910916352 3979252256 4329943104 4405600712 4420150252 4547716864 4562735744 5051600288 5222768586 5391244992 5773257472 5968878384 6608401068 6630225378 6821575296 6844103616 6963691448 7188326656 7577400432 7709801246 7958504512 8659886208 8811201424 8840300504 9125471488 10103200576 10445537172 10782489984 11564701869 11937756768 13216802136 13260450756 13643150592 13688207232 13927382896 15154800864 15419602492 15917009024 17071702759 17319772416 17622402848 17680601008 20206401152 20891074344 21564979968 23129403738 23875513536 26433604272 26520901512 26984304361 27376414464 27854765792 30309601728 30839204984 31834018048 34143405518 35244805696 35361202016 40412802304 41782148688 46258807476 47751027072 51215108277 52867208544 53041803024 53968608722 55709531584 60619203456 61678409968 68286811036 70489611392 70722404032 80952913083 83564297376 92517614952 95502054144 102430216554 105734417088 106083606048 107937217444 111419063168 119501919313 121238406912 123356819936 136573622072 140979222784 141444808064 161905826166 167128594752 185035229904 204860433108 211468834176 212167212096 215874434888 222838126336 239003838626 246713639872 273147244144 282889616128 323811652332 334257189504 358505757939 370070459808 409720866216 422937668352 424334424192 431748869776 478007677252 493427279744 546294488288 647623304664 668514379008 717011515878 740140919616 819441732432 836513435191 848668848384 863497739552 956015354504 986854559488 1092588976576 1295246609328 1434023031756 1480281839232 1638883464864 1673026870382 1726995479104 1912030709008 2185177953152 2509540305573 2590493218656 2868046063512 2960563678464 3277766929728 3346053740764 3453990958208 3824061418016 4370355906304 5019080611146 5180986437312 5736092127024 6555533859456 6692107481528 6907981916416 7648122836032 10038161222292 10361972874624 11472184254048 13111067718912 13384214963056 15296245672064 20076322444584 20723945749248 22944368508096 26768429926112 30592491344128 40152644889168 45888737016192 53536859852224 80305289778336 91777474032384 107073719704448 160610579556672 214147439408896 321221159113344 642442318226688
- Sum of all divisors σ(n): 2058006013749504
- Sum of proper divisors (its aliquot sum) s(n): 1415563695522816
- 642442318226688 is an abundant number, because the sum of its proper divisors (1415563695522816) is greater than itself. Its abundance is 773121377296128
Bases of 642442318226688
- Binary: 100100100001001100010000100010101010100101000000002
- Hexadecimal: 0x2484C422AA500
- Base-36: 6BQ5XCWIDC
Squares and roots of 642442318226688
- 642442318226688 squared (6424423182266882) is 412732132248481052416955449344
- 642442318226688 cubed (6424423182266883) is 265156587848358140888972034189585736292892672
-
The
square root of 642442318226688 is 25346445.8697208275 -
The
cube root of 642442318226688 is 86286.8696017461
Scales and comparisons
How big is 642442318226688?- 642,442,318,226,688 seconds is equal to 20,427,678 years, 26 weeks, 5 days, 11 hours, 24 minutes, 48 seconds.
-
To count from 1 to 642,442,318,226,688 would take you about fifty-one million, sixty-nine thousand, one hundred ninety-six 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 642442318226688 cubic inches would be around 7190.6 feet tall.
Recreational maths with 642442318226688
- 642442318226688 backwards is 886622813244246
- The number of decimal digits it has is: 15
- The sum of 642442318226688's digits is 66
- More coming soon!
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The information we have on file for 642442318226688 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!
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