164084417487936000
164,084,417,487,936,000 is an even composite number composed of five prime numbers multiplied together.
164084417487936000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 164084417487936000:
29 × 32 × 53 × 116 × 4012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 401 × 401)See below for interesting mathematical facts about the number 164084417487936000 from the Numbermatics database.
Names of 164084417487936000
- Cardinal: 164084417487936000 can be written as One hundred sixty-four quadrillion, eighty-four trillion, four hundred seventeen billion, four hundred eighty-seven million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.64084417487936 × 1017
Factors of 164084417487936000
Divisors of 164084417487936000
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 121 125 128 132 144 150 160 165 176 180 192 198 200 220 225 240 242 250 256 264 275 288 300 320 330 352 360 363 375 384 396 400 401 440 450 480 484 495 500 512 528 550 576 600 605 640 660 704 720 726 750 768 792 800 802 825 880 900 960 968 990 1000 1056 1089 1100 1125 1152 1200 1203 1210 1280 1320 1331 1375 1408 1440 1452 1500 1536 1584 1600 1604 1650 1760 1800 1815 1920 1936 1980 2000 2005 2112 2178 2200 2250 2304 2400 2406 2420 2475 2560 2640 2662 2750 2816 2880 2904 3000 3025 3168 3200 3208 3300 3520 3600 3609 3630 3840 3872 3960 3993 4000 4010 4125 4224 4356 4400 4411 4500 4608 4800 4812 4840 4950 5280 5324 5445 5500 5632 5760 5808 6000 6015 6050 6336 6400 6416 6600 6655 7040 7200 7218 7260 7680 7744 7920 7986 8000 8020 8250 8448 8712 8800 8822 9000 9075 9600 9624 9680 9900 10025 10560 10648 10890 11000 11520 11616 11979 12000 12030 12100 12375 12672 12800 12832 13200 13233 13310 14080 14400 14436 14520 14641 15125 15488 15840 15972 16000 16040 16500 16896 17424 17600 17644 18000 18045 18150 19200 19248 19360 19800 19965 20050 21120 21296 21780 22000 22055 23040 23232 23958 24000 24060 24200 24750 25344 25664 26400 26466 26620 27225 28160 28800 28872 29040 29282 30075 30250 30976 31680 31944 32000 32080 33000 33275 34848 35200 35288 36000 36090 36300 38400 38496 38720 39600 39699 39930 40100 42240 42592 43560 43923 44000 44110 45375 46464 47916 48000 48120 48400 48521 49500 50125 50688 51328 52800 52932 53240 54450 57600 57744 58080 58564 59895 60150 60500 61952 63360 63888 64000 64160 66000 66165 66550 69696 70400 70576 72000 72180 72600 73205 76992 77440 79200 79398 79860 80200 84480 85184 87120 87846 88000 88220 90225 90750 92928 95832 96000 96240 96800 97042 99000 99825 100250 102656 105600 105864 106480 108900 110275 115200 115488 116160 117128 119790 120300 121000 126720 127776 128320 131769 132000 132330 133100 136125 139392 140800 141152 144000 144360 145200 145563 146410 150375 153984 154880 158400 158796 159720 160400 160801 161051 166375 170368 174240 175692 176000 176440 180450 181500 185856 191664 192000 192480 193600 194084 198000 198495 199650 200500 205312 211200 211728 212960 217800 219615 220550 230976 232320 234256 239580 240600 242000 242605 253440 255552 256640 263538 264000 264660 266200 272250 278784 282304 288000 288720 290400 291126 292820 299475 300750 307968 309760 316800 317592 319440 320800 321602 322102 330825 332750 340736 348480 351384 352000 352880 360900 363000 366025 383328 384960 387200 388168 396000 396990 399300 401000 422400 423456 425920 435600 436689 439230 441100 451125 461952 464640 468512 479160 481200 482403 483153 484000 485210 499125 511104 513280 527076 528000 529320 532400 533731 544500 551375 557568 564608 576000 577440 580800 582252 585640 598950 601500 615936 633600 635184 638880 641600 643204 644204 658845 661650 665500 681472 696960 702768 704000 705760 721800 726000 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1643720686080 1657418358464 1690859808000 1695086957520 1704950306400 1709212682166 1712209048000 1765715580750 1808092754688 1818613660160 1859945788800 1864595653272 1867864416000 1883429952800 1926235179000 1942287138825 2045940367680 2054650857600 2066606432000 2071772948080 2118858696900 2131187883000 2241437299200 2260115943360 2273267075200 2278950242888 2324932236000 2330744566590 2354287441000 2465581029120 2479927718400 2486127537696 2557425459600 2563819023249 2568313572000 2589716185100 2648573371125 2712139132032 2727920490240 2739534476800 2801796624000 2825144929200 2841583844000 2848687803610 3013487924480 3081976286400 3099909648000 3107659422120 3196781824500 3237145231375 3273504588288 3314836716928 3381719616000 3390173915040 3409900612800 3418425364332 3424418096000 3531431161500 3616185509376 3719891577600 3729191306544 3735728832000 3766859905600 3852470358000 3884574277650 4091880735360 4109301715200 4133212864000 4143545896160 4237717393800 4262375766000 4273031705415 4520231886720 4546534150400 4557900485776 4649864472000 4661489133180 4708574882000 4931162058240 4972255075392 5114850919200 5127638046498 5136627144000 5179432370200 5297146742250 5424278264064 5455840980480 5603593248000 5650289858400 5683167688000 5697375607220 5826861416475 6026975848960 6163952572800 6199819296000 6215318844240 6393563649000 6474290462750 6629673433856 6780347830080 6819801225600 6836850728664 6848836192000 7062862323000 7121719509025 7439783155200 7458382613088 7533719811200 7704940716000 7769148555300 8183761470720 8218603430400 8287091792320 8475434787600 8524751532000 8546063410830 9040463773440 9093068300800 9115800971552 9299728944000 9322978266360 9417149764000 9711435694125 9944510150784 10229701838400 10255276092996 10273254288000 10358864740400 10594293484500 10848556528128 11207186496000 11300579716800 11366335376000 11394751214440 11653722832950 12327905145600 12399638592000 12430637688480 12787127298000 12819095116245 12948580925500 13259346867712 13560695660160 13639602451200 13673701457328 13697672384000 14125724646000 14243439018050 14916765226176 15067439622400 15409881432000 15538297110600 16367522941440 16574183584640 16950869575200 17049503064000 17092126821660 18080927546880 18231601943104 18599457888000 18645956532720 18834299528000 19422871388250 19889020301568 20459403676800 20510552185992 20546508576000 20717729480800 21188586969000 21365158527075 22601159433600 22732670752000 22789502428880 23307445665900 24655810291200 24861275376960 25574254596000 25638190232490 25897161851000 27121391320320 27279204902400 27347402914656 28251449292000 28486878036100 29134307082375 29833530452352 30134879244800 30819762864000 31076594221200 33148367169280 33901739150400 34099006128000 34184253643320 35608597545125 36463203886208 37198915776000 37291913065440 37668599056000 38845742776500 39778040603136 40918807353600 41021104371984 41093017152000 41435458961600 42377173938000 42730317054150 45202318867200 45465341504000 45579004857760 46614891331800 49722550753920 51148509192000 51276380464980 51794323702000 54242782640640 54694805829312 56502898584000 56973756072200 58268614164750 59667060904704 61639525728000 62153188442400 64095475581225 66296734338560 67803478300800 68198012256000 68368507286640 71217195090250 72926407772416 74583826130880 75337198112000 77691485553000 81837614707200 82042208743968 82870917923200 84754347876000 85460634108300 90404637734400 91158009715520 93229782663600 99445101507840 102297018384000 102552760929960 103588647404000 106825792635375 109389611658624 113005797168000 113947512144400 116537228329500 119334121809408 123279051456000 124306376884800 128190951162450 135606956601600 136396024512000 136737014573280 142434390180500 145852815544832 149167652261760 150674396224000 155382971106000 164084417487936 165741835846400 169508695752000 170921268216600 182316019431040 186459565327200 198890203015680 204594036768000 205105521859920 207177294808000 213651585270750 218779223317248 226011594336000 227895024288800 233074456659000 248612753769600 256381902324900 271213913203200 273474029146560 284868780361000 298335304523520 310765942212000 320477377906125 328168834975872 331483671692800 339017391504000 341842536433200 364632038862080 372919130654400 409188073536000 410211043719840 414354589616000 427303170541500 437558446634496 452023188672000 455790048577600 466148913318000 497225507539200 512763804649800 546948058293120 569737560722000 596670609047040 621531884424000 640954755812250 656337669951744 678034783008000 683685072866400 729264077724160 745838261308800 820422087439680 828709179232000 854606341083000 911580097155200 932297826636000 994451015078400 1025527609299600 1093896116586240 1139475121444000 1243063768848000 1281909511624500 1312675339903488 1356069566016000 1367370145732800 1491676522617600 1640844174879360 1657418358464000 1709212682166000 1823160194310400 1864595653272000 2051055218599200 2187792233172480 2278950242888000 2486127537696000 2563819023249000 2734740291465600 2983353045235200 3281688349758720 3418425364332000 3646320388620800 3729191306544000 4102110437198400 4557900485776000 4972255075392000 5127638046498000 5469480582931200 6563376699517440 6836850728664000 7458382613088000 8204220874396800 9115800971552000 10255276092996000 10938961165862400 13673701457328000 14916765226176000 16408441748793600 18231601943104000 20510552185992000 27347402914656000 32816883497587200 41021104371984000 54694805829312000 82042208743968000 164084417487936000
- Sum of all divisors σ(n): 651726646599872844
- Sum of proper divisors (its aliquot sum) s(n): 487642229111936844
- 164084417487936000 is an abundant number, because the sum of its proper divisors (487642229111936844) is greater than itself. Its abundance is 323557811624000844
Bases of 164084417487936000
- Binary: 10010001101111000111101000100010011000101110011010000000002
- Hexadecimal: 0x246F1E8898B9A00
- Base-36: 18VN2KRQ7B40
Squares and roots of 164084417487936000
- 164084417487936000 squared (1640844174879360002) is 26923696062355277424705540096000000
- 164084417487936000 cubed (1640844174879360003) is 4417758985013801904987454588823406444281856000000000
-
The
square root of 164084417487936000 is 405073348.2814390247 -
The
cube root of 164084417487936000 is 547464.2693199695
Scales and comparisons
How big is 164084417487936000?- 164,084,417,487,936,000 seconds is equal to 5,217,376,929 years, 35 weeks, 5 days, 16 hours.
-
To count from 1 to 164,084,417,487,936,000 would take you about fifteen billion, six hundred fifty-two million, one hundred thirty thousand, seven hundred eighty-nine 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 164084417487936000 cubic inches would be around 45622 feet tall.
Recreational maths with 164084417487936000
- 164084417487936000 backwards is 000639784714480461
- 164084417487936000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 164084417487936000's digits is 72
- More coming soon!
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MLA style:
"Number 164084417487936000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 164084417487936000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/164084417487936000/
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Numbermatics. 2024. "Number 164084417487936000 - Facts about the integer". https://numbermatics.com/n/164084417487936000/
The information we have on file for 164084417487936000 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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