164242064290924800
164,242,064,290,924,800 is an even composite number composed of six prime numbers multiplied together.
164242064290924800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred thirty divisors.
Prime factorization of 164242064290924800:
28 × 34 × 52 × 672 × 97 × 8532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 67 × 67 × 97 × 853 × 853)See below for interesting mathematical facts about the number 164242064290924800 from the Numbermatics database.
Names of 164242064290924800
- Cardinal: 164242064290924800 can be written as One hundred sixty-four quadrillion, two hundred forty-two trillion, sixty-four billion, two hundred ninety million, nine hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.642420642909248 × 1017
Factors of 164242064290924800
Divisors of 164242064290924800
- Number of divisors d(n): 2430
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 67 72 75 80 81 90 96 97 100 108 120 128 134 135 144 150 160 162 180 192 194 200 201 216 225 240 256 268 270 288 291 300 320 324 335 360 384 388 400 402 405 432 450 480 485 536 540 576 582 600 603 640 648 670 675 720 768 776 800 804 810 853 864 873 900 960 970 1005 1072 1080 1152 1164 1200 1206 1280 1296 1340 1350 1440 1455 1552 1600 1608 1620 1675 1706 1728 1746 1800 1809 1920 1940 2010 2025 2144 2160 2304 2328 2400 2412 2425 2559 2592 2619 2680 2700 2880 2910 3015 3104 3200 3216 3240 3350 3412 3456 3492 3600 3618 3840 3880 4020 4050 4265 4288 4320 4365 4489 4656 4800 4824 4850 5025 5118 5184 5238 5360 5400 5427 5760 5820 6030 6208 6400 6432 6480 6499 6700 6824 6912 6984 7200 7236 7275 7677 7760 7857 8040 8100 8530 8576 8640 8730 8978 9045 9312 9600 9648 9700 10050 10236 10368 10476 10720 10800 10854 11520 11640 12060 12416 12795 12864 12960 12998 13095 13400 13467 13648 13968 14400 14472 14550 15075 15354 15520 15714 16080 16200 17060 17152 17280 17460 17956 18090 18624 19200 19296 19400 19497 20100 20472 20736 20952 21325 21440 21600 21708 21825 22445 23031 23280 24120 24832 25590 25728 25920 25996 26190 26800 26934 27135 27296 27936 28800 28944 29100 30150 30708 31040 31428 32160 32400 32495 34120 34560 34920 35912 36180 37248 38385 38592 38800 38994 39285 40200 40401 40944 41904 42650 42880 43200 43416 43650 44890 45225 46062 46560 48240 51180 51456 51840 51992 52380 53600 53868 54270 54592 55872 57151 57600 57888 58200 58491 60300 61416 62080 62856 63975 64320 64800 64990 65475 67335 68240 69093 69840 71824 72360 74496 76770 77184 77600 77988 78570 80400 80802 81888 82741 83808 85300 85760 86400 86832 87300 89780 90450 92124 93120 96480 97485 102360 103680 103984 104760 107200 107736 108540 109184 111744 112225 114302 115155 115776 116400 116982 120600 121203 122832 124160 125712 127950 128640 129600 129980 130950 134670 135675 136480 138186 139680 143648 144720 153540 154368 155200 155976 157140 160800 161604 162475 163776 165482 167616 170600 171453 172800 173664 174600 175473 179560 180900 184248 186240 191925 192960 194970 196425 202005 204720 207968 209520 214400 215472 217080 218368 223488 224450 228604 230310 231552 232800 233964 241200 242406 245664 248223 251424 255900 257280 259200 259960 261900 269340 271350 272960 276372 279360 285755 287296 289440 292455 307080 310400 311952 314280 321600 323208 324950 327552 330964 335232 336675 341200 342906 345465 347328 349200 350946 359120 361800 363609 368496 372480 383850 385920 389940 392850 404010 409440 413705 415936 419040 428800 430944 434160 435433 448900 457208 460620 463104 465600 467928 482400 484812 487425 491328 496446 502848 511800 514359 518400 519920 523800 526419 538680 542700 545920 552744 558720 571510 574592 575775 578880 584910 606015 614160 620800 623904 628560 643200 646416 649900 655104 661928 670464 673350 682400 685812 690930 694656 698400 701892 718240 723600 727218 727609 736992 744669 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3135587328960 3158987234400 3168249696970 3191893351425 3209106375360 3404686241520 3527535745080 3565673750400 3631665324288 3658767304320 3762704794752 3782984712800 3801899636364 3830272021710 3850927650432 3919484161200 4011382969200 4065297004800 4085623489824 4180783105280 4211982979200 4233042894096 4255857801900 4278808500480 4409419681350 4539581655360 4573459130400 4703380993440 4752374545455 4813659563040 5054379575040 5069199515152 5107029362280 5225978881600 5291303617620 5348510625600 5447497986432 5644057192128 5674477069200 5702849454546 5879226241800 6017074453800 6052775540480 6097945507200 6128435234736 6271174657920 6317974468800 6336499393940 6383786702850 6418212750720 6614129522025 6809372483040 7055071490160 7131347500800 7317534608640 7525409589504 7565969425600 7603799272728 7660544043420 7701855300864 7838968322400 7920624242425 8022765938400 8171246979648 8423965958400 8466085788192 8511715603800 8554274181819 8818839362700 9079163310720 9146918260800 9406761986880 9504749090910 9575680054275 9627319126080 10138399030304 10214058724560 10451957763200 10582607235240 10697021251200 10894995972864 11288114384256 11348954138400 11405698909092 11758452483600 12034148907600 12195891014400 12256870469472 12542349315840 12635948937600 12672998787880 12767573405700 12836425501440 13228259044050 13618744966080 14110142980320 14257123636365 15131938851200 15207598545456 15321088086840 15677936644800 15841248484850 16045531876800 16342493959296 16932171576384 17023431207600 17108548363638 17637678725400 18158326621440 18293836521600 18813523973760 19009498181820 19151360108550 19254638252160 20276798060608 20428117449120 20903915526400 21165214470480 21394042502400 22576228768512 22697908276800 22811397818184 23516904967200 23761872727275 24068297815200 24513740938944 25271897875200 25345997575760 25535146811400 25662822545457 26456518088100 27237489932160 28220285960640 28514247272730 30263877702400 30415197090912 30642176173680 31355873289600 31682496969700 32091063753600 32684987918592 33864343152768 34046862415200 34217096727276 35275357450800 36587673043200 37627047947520 38018996363640 38302720217100 38509276504320 40553596121216 40856234898240 42330428940960 42771370909095 45395816553600 45622795636368 47033809934400 47523745454550 48136595630400 49027481877888 50691995151520 51070293622800 51325645090914 52913036176200 54474979864320 56440571921280 57028494545460 60830394181824 61284352347360 62711746579200 63364993939400 64182127507200 67728686305536 68093724830400 68434193454552 70550714901600 71285618181825 76037992727280 76605440434200 81107192242432 81712469796480 84660857881920 85542741818190 90791633107200 91245591272736 94067619868800 95047490909100 96273191260800 98054963755776 101383990303040 102140587245600 102651290181828 105826072352400 112881143842560 114056989090920 121660788363648 122568704694720 126729987878800 128314112727285 136187449660800 136868386909104 141101429803200 142571236363650 152075985454560 153210880868400 163424939592960 169321715763840 171085483636380 182491182545472 188135239737600 190094981818200 192546382521600 202767980606080 204281174491200 205302580363656 211652144704800 213856854545475 228113978181840 243321576727296 245137409389440 253459975757600 256628225454570 272374899321600 273736773818208 282202859606400 285142472727300 304151970909120 306421761736800 338643431527680 342170967272760 364982365090944 380189963636400 405535961212160 408562348982400 410605160727312 423304289409600 427713709090950 456227956363680 490274818778880 506919951515200 513256450909140 547473547636416 564405719212800 570284945454600 608303941818240 612843523473600 641570563636425 684341934545520 729964730181888 760379927272800 817124697964800 821210321454624 846608578819200 855427418181900 912455912727360 1013839903030400 1026512901818280 1094947095272832 1140569890909200 1216607883636480 1225687046947200 1283141127272850 1368683869091040 1520759854545600 1642420642909248 1693217157638400 1710854836363800 1824911825454720 2027679806060800 2053025803636560 2189894190545664 2281139781818400 2451374093894400 2566282254545700 2737367738182080 3041519709091200 3284841285818496 3421709672727600 3649823650909440 4106051607273120 4562279563636800 5132564509091400 5474735476364160 6083039418182400 6569682571636992 6843419345455200 8212103214546240 9124559127273600 10265129018182800 10949470952728320 13686838690910400 16424206429092480 18249118254547200 20530258036365600 27373677381820800 32848412858184960 41060516072731200 54747354763641600 82121032145462400 164242064290924800
- Sum of all divisors σ(n): 623563328509426998
- Sum of proper divisors (its aliquot sum) s(n): 459321264218502198
- 164242064290924800 is an abundant number, because the sum of its proper divisors (459321264218502198) is greater than itself. Its abundance is 295079199927577398
Bases of 164242064290924800
- Binary: 10010001111000000101001001100010110011110011001001000000002
- Hexadecimal: 0x24781498B3CC900
- Base-36: 18X6YAPMDS00
Squares and roots of 164242064290924800
- 164242064290924800 squared (1642420642909248002) is 26975455682544275326211639255040000
- 164242064290924800 cubed (1642420642909248003) is 4430504526489429600314329722494247910504660992000000
-
The
square root of 164242064290924800 is 405267892.0059234103 -
The
cube root of 164242064290924800 is 547639.5416338721
Scales and comparisons
How big is 164242064290924800?- 164,242,064,290,924,800 seconds is equal to 5,222,389,610 years, 20 weeks, 2 days.
-
To count from 1 to 164,242,064,290,924,800 would take you about fifteen billion, six hundred sixty-seven million, one hundred sixty-eight thousand, eight hundred thirty-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 164242064290924800 cubic inches would be around 45636.6 feet tall.
Recreational maths with 164242064290924800
- 164242064290924800 backwards is 008429092460242461
- The number of decimal digits it has is: 18
- The sum of 164242064290924800's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 164242064290924800 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 164242064290924800 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/164242064290924800/
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Numbermatics. 2024. "Number 164242064290924800 - Facts about the integer". https://numbermatics.com/n/164242064290924800/
The information we have on file for 164242064290924800 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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