164164936441135104
164,164,936,441,135,104 is an even composite number composed of three prime numbers multiplied together.
What does the number 164164936441135104 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 648 divisors.
164164936441135104 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 164164936441135104:
217 × 311 × 26592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 2659 × 2659)See below for interesting mathematical facts about the number 164164936441135104 from the Numbermatics database.
Names of 164164936441135104
- Cardinal: 164164936441135104 can be written as One hundred sixty-four quadrillion, one hundred sixty-four trillion, nine hundred thirty-six billion, four hundred forty-one million, one hundred thirty-five thousand, one hundred four.
Scientific notation
- Scientific notation: 1.64164936441135104 × 1017
Factors of 164164936441135104
Divisors of 164164936441135104
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2659 2916 3072 3456 3888 4096 4374 4608 5184 5318 5832 6144 6561 6912 7776 7977 8192 8748 9216 10368 10636 11664 12288 13122 13824 15552 15954 16384 17496 18432 19683 20736 21272 23328 23931 24576 26244 27648 31104 31908 32768 34992 36864 39366 41472 42544 46656 47862 49152 52488 55296 59049 62208 63816 65536 69984 71793 73728 78732 82944 85088 93312 95724 98304 104976 110592 118098 124416 127632 131072 139968 143586 147456 157464 165888 170176 177147 186624 191448 196608 209952 215379 221184 236196 248832 255264 279936 287172 294912 314928 331776 340352 354294 373248 382896 393216 419904 430758 442368 472392 497664 510528 559872 574344 589824 629856 646137 663552 680704 708588 746496 765792 839808 861516 884736 944784 995328 1021056 1119744 1148688 1179648 1259712 1292274 1327104 1361408 1417176 1492992 1531584 1679616 1723032 1769472 1889568 1938411 1990656 2042112 2239488 2297376 2519424 2584548 2654208 2722816 2834352 2985984 3063168 3359232 3446064 3538944 3779136 3876822 3981312 4084224 4478976 4594752 5038848 5169096 5308416 5445632 5668704 5815233 5971968 6126336 6718464 6892128 7070281 7558272 7753644 7962624 8168448 8957952 9189504 10077696 10338192 10616832 10891264 11337408 11630466 11943936 12252672 13436928 13784256 14140562 15116544 15507288 15925248 16336896 17445699 17915904 18379008 20155392 20676384 21210843 21782528 22674816 23260932 23887872 24505344 26873856 27568512 28281124 30233088 31014576 31850496 32673792 34891398 35831808 36758016 40310784 41352768 42421686 43565056 45349632 46521864 47775744 49010688 52337097 53747712 55137024 56562248 60466176 62029152 63632529 65347584 69782796 71663616 73516032 80621568 82705536 84843372 87130112 90699264 93043728 95551488 98021376 104674194 107495424 110274048 113124496 120932352 124058304 127265058 130695168 139565592 143327232 147032064 157011291 161243136 165411072 169686744 174260224 181398528 186087456 190897587 196042752 209348388 214990848 220548096 226248992 241864704 248116608 254530116 261390336 279131184 286654464 294064128 314022582 322486272 330822144 339373488 348520448 362797056 372174912 381795174 392085504 418696776 429981696 441096192 452497984 471033873 483729408 496233216 509060232 522780672 558262368 572692761 588128256 628045164 644972544 661644288 678746976 725594112 744349824 763590348 784171008 837393552 859963392 882192384 904995968 942067746 967458816 992466432 1018120464 1045561344 1116524736 1145385522 1176256512 1256090328 1289945088 1323288576 1357493952 1451188224 1488699648 1527180696 1568342016 1674787104 1718078283 1764384768 1809991936 1884135492 1934917632 1984932864 2036240928 2233049472 2290771044 2352513024 2512180656 2579890176 2646577152 2714987904 2902376448 2977399296 3054361392 3136684032 3349574208 3436156566 3528769536 3619983872 3768270984 3869835264 3969865728 4072481856 4466098944 4581542088 4705026048 5024361312 5154234849 5293154304 5429975808 5804752896 5954798592 6108722784 6699148416 6872313132 7057539072 7239967744 7536541968 7739670528 7939731456 8144963712 8932197888 9163084176 9410052096 10048722624 10308469698 10586308608 10859951616 11609505792 11909597184 12217445568 13398296832 13744626264 14115078144 14479935488 15073083936 15462704547 15879462912 16289927424 17864395776 18326168352 20097445248 20616939396 21172617216 21719903232 23219011584 23819194368 24434891136 26796593664 27489252528 28230156288 28959870976 30146167872 30925409094 31758925824 32579854848 35728791552 36652336704 40194890496 41233878792 42345234432 43439806464 46388113641 47638388736 48869782272 53593187328 54978505056 57919741952 60292335744 61850818188 63517851648 65159709696 71457583104 73304673408 80389780992 82467757584 84690468864 86879612928 92776227282 95276777472 97739564544 107186374656 109957010112 115839483904 120584671488 123701636376 127035703296 130319419392 139164340923 142915166208 146609346816 160779561984 164935515168 173759225856 185552454564 190553554944 195479129088 214372749312 219914020224 231678967808 241169342976 247403272752 254071406592 260638838784 278328681846 285830332416 293218693632 321559123968 329871030336 347518451712 371104909128 381107109888 390958258176 417493022769 428745498624 439828040448 463357935616 482338685952 494806545504 521277677568 556657363692 571660664832 586437387264 643118247936 659742060672 695036903424 742209818256 762214219776 781916516352 834986045538 857490997248 879656080896 926715871232 964677371904 989613091008 1042555355136 1113314727384 1143321329664 1172874774528 1252479068307 1286236495872 1319484121344 1390073806848 1484419636512 1563833032704 1669972091076 1714981994496 1759312161792 1929354743808 1979226182016 2085110710272 2226629454768 2286642659328 2345749549056 2504958136614 2572472991744 2638968242688 2780147613696 2968839273024 3127666065408 3339944182152 3429963988992 3518624323584 3858709487616 3958452364032 4170221420544 4453258909536 4691499098112 5009916273228 5144945983488 5277936485376 5937678546048 6255332130816 6679888364304 6859927977984 7037248647168 7717418975232 7916904728064 8340442841088 8906517819072 9382998196224 10019832546456 10289891966976 10555872970752 11875357092096 12510664261632 13359776728608 14074497294336 15434837950464 15833809456128 17813035638144 18765996392448 20039665092912 20579783933952 21111745941504 23750714184192 25021328523264 26719553457216 28148994588672 30869675900928 31667618912256 35626071276288 37531992784896 40079330185824 42223491883008 47501428368384 53439106914432 56297989177344 61739351801856 63335237824512 71252142552576 75063985569792 80158660371648 84446983766016 95002856736768 106878213828864 112595978354688 126670475649024 142504285105152 160317320743296 168893967532032 190005713473536 213756427657728 225191956709376 253340951298048 285008570210304 320634641486592 337787935064064 380011426947072 427512855315456 506681902596096 570017140420608 641269282973184 675575870128128 760022853894144 855025710630912 1013363805192192 1140034280841216 1282538565946368 1520045707788288 1710051421261824 2026727610384384 2280068561682432 2565077131892736 3040091415576576 3420102842523648 4560137123364864 5130154263785472 6080182831153152 6840205685047296 9120274246729728 10260308527570944 13680411370094592 18240548493459456 20520617055141888 27360822740189184 41041234110283776 54721645480378368 82082468220567552 164164936441135104
- Sum of all divisors σ(n): 492677290549440360
- Sum of proper divisors (its aliquot sum) s(n): 328512354108305256
- 164164936441135104 is an abundant number, because the sum of its proper divisors (328512354108305256) is greater than itself. Its abundance is 164347417667170152
Bases of 164164936441135104
- Binary: 10010001110011101100100011110100010010011000000000000000002
- Hexadecimal: 0x2473B23D1260000
- Base-36: 18WFM2O00000
Squares and roots of 164164936441135104
- 164164936441135104 squared (1641649364411351042) is 26950126356721928425626867981090816
- 164164936441135104 cubed (1641649364411351043) is 4424265780431815342975284537115687690860543149604864
-
The
square root of 164164936441135104 is 405172724.2067697527 -
The
cube root of 164164936441135104 is 547553.8046174133
Scales and comparisons
How big is 164164936441135104?- 164,164,936,441,135,104 seconds is equal to 5,219,937,183 years, 17 weeks, 4 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 164,164,936,441,135,104 would take you about fifteen billion, six hundred fifty-nine million, eight hundred eleven thousand, five hundred fifty 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 164164936441135104 cubic inches would be around 45629.5 feet tall.
Recreational maths with 164164936441135104
- 164164936441135104 backwards is 401531144639461461
- The number of decimal digits it has is: 18
- The sum of 164164936441135104's digits is 63
- More coming soon!
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The information we have on file for 164164936441135104 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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