164164979904513280
164,164,979,904,513,280 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164164979904513280 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
164164979904513280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 164164979904513280:
28 × 5 × 7 × 112 × 23 × 412 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 23 × 41 × 41 × 1979 × 1979)See below for interesting mathematical facts about the number 164164979904513280 from the Numbermatics database.
Names of 164164979904513280
- Cardinal: 164164979904513280 can be written as One hundred sixty-four quadrillion, one hundred sixty-four trillion, nine hundred seventy-nine billion, nine hundred four million, five hundred thirteen thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.6416497990451328 × 1017
Factors of 164164979904513280
Divisors of 164164979904513280
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 28 32 35 40 41 44 46 55 56 64 70 77 80 82 88 92 110 112 115 121 128 140 154 160 161 164 176 184 205 220 224 230 242 253 256 280 287 308 320 322 328 352 368 385 410 440 448 451 460 484 506 560 574 605 616 640 644 656 704 736 770 805 820 847 880 896 902 920 943 968 1012 1120 1148 1210 1232 1265 1280 1288 1312 1408 1435 1472 1540 1610 1640 1681 1694 1760 1771 1792 1804 1840 1886 1936 1979 2024 2240 2255 2296 2420 2464 2530 2576 2624 2783 2816 2870 2944 3080 3157 3220 3280 3362 3388 3520 3542 3608 3680 3772 3872 3958 4048 4235 4480 4510 4592 4715 4840 4928 4961 5060 5152 5248 5566 5740 5888 6160 6314 6440 6560 6601 6724 6776 7040 7084 7216 7360 7544 7744 7916 8096 8405 8470 8855 8960 9020 9184 9430 9680 9856 9895 9922 10120 10304 10373 10496 11132 11480 11767 12320 12628 12880 13120 13202 13448 13552 13853 13915 14080 14168 14432 14720 15088 15488 15785 15832 16192 16810 16940 17710 18040 18368 18491 18860 19360 19481 19712 19790 19844 20240 20608 20746 21769 22264 22960 23534 24640 24805 25256 25760 26240 26404 26896 27104 27706 27830 28336 28864 29440 30176 30976 31570 31664 32384 33005 33620 33880 34727 35420 36080 36736 36982 37720 38663 38720 38962 39580 39688 40480 41216 41492 43538 44528 45517 45920 47068 49280 49610 50512 51520 51865 52480 52808 53792 54208 55412 55660 56672 57728 58835 60352 63140 63328 64768 66010 67240 67760 69265 69454 70840 72160 72611 73472 73964 75440 77326 77440 77924 79160 79376 80960 81139 82984 87076 89056 91034 91840 92455 94136 97405 98560 99220 101024 103040 103730 105616 107584 108416 108845 110824 111320 113344 114103 115456 117670 120704 126280 126656 129437 132020 134480 135520 138530 138908 141680 144320 145222 147928 150880 152383 154652 154880 155848 158320 158752 161920 162278 165968 173635 174152 178112 182068 183680 184910 188272 193315 194810 198440 202048 203401 206080 207460 211232 215168 216832 217690 221648 222640 226688 227585 228206 235340 239459 241408 252560 253312 258874 264040 268960 270641 271040 277060 277816 283360 288640 290444 295856 301760 304766 309304 311696 316640 317504 318619 323840 324556 331936 347270 348304 356224 363055 364136 367360 369820 376544 386630 389620 396880 404096 405695 406802 414920 422464 425293 430336 435380 443296 445280 453376 455170 456412 470680 478918 500687 505120 506624 517748 528080 537920 541282 542080 554120 555632 566720 567973 570515 577280 580888 591712 603520 609532 618608 623392 633280 635008 637238 647185 649112 663872 694540 696608 712448 726110 728272 739640 753088 761915 773260 779240 793760 798721 808192 811390 813604 829840 844928 850586 870760 886592 890560 892529 910340 912824 941360 957836 1001374 1010240 1017005 1035496 1056160 1075840 1082564 1084160 1108240 1111264 1133440 1135946 1141030 1161776 1183424 1197295 1207040 1219064 1237216 1246784 1266560 1270016 1274476 1294370 1298224 1327744 1353205 1389080 1393216 1423807 1452220 1456544 1479280 1506176 1523830 1546520 1558480 1587520 1593095 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91000543184320 91609921821715 92696205479680 93275556763928 96909669365120 97659119514880 100100597502752 101965826027648 106600636301632 111525122217740 114400682860288 116594445954910 125125746878440 127457282534560 128253890550401 129774687671552 133250795377040 135673537111168 143000853575360 146575874914744 162218359589440 169591921388960 174087995656960 178440195548384 182001086368640 183219843643430 186551113527856 193819338730240 200201195005504 203931652055296 213201272603264 223050244435480 233188891909820 250251493756880 254914565069120 256507781100802 266501590754080 271347074222336 286001707150720 293151749829488 324436719178880 339183842777920 356880391096768 364002172737280 366439687286860 373102227055712 400402390011008 426402545206528 446100488870960 466377783819640 500502987513760 509829130138240 513015562201604 533003181508160 572003414301440 586303499658976 641269452752005 648873438357760 678367685555840 713760782193536 732879374573720 746204454111424 800804780022016 892200977741920 932755567639280 1001005975027520 1019658260276480 1026031124403208 1066006363016320 1172606999317952 1282538905504010 1356735371111680 1427521564387072 1465758749147440 1492408908222848 1784401955483840 1865511135278560 2002011950055040 2052062248806416 2132012726032640 2345213998635904 2565077811008020 2931517498294880 2984817816445696 3568803910967680 3731022270557120 4004023900110080 4104124497612832 4690427997271808 5130155622016040 5863034996589760 7137607821935360 7462044541114240 8208248995225664 10260311244032080 11726069993179520 14924089082228480 16416497990451328 20520622488064160 23452139986359040 32832995980902656 41041244976128320 82082489952256640 164164979904513280
- Sum of all divisors σ(n): 528592982154427008
- Sum of proper divisors (its aliquot sum) s(n): 364428002249913728
- 164164979904513280 is an abundant number, because the sum of its proper divisors (364428002249913728) is greater than itself. Its abundance is 200263022345400448
Bases of 164164979904513280
- Binary: 10010001110011101100101101111011111100010010000101000000002
- Hexadecimal: 0x2473B2DEFC48500
- Base-36: 18WFMMMSZ18G
Squares and roots of 164164979904513280
- 164164979904513280 squared (1641649799045132802) is 26950140627049249050986513696358400
- 164164979904513280 cubed (1641649799045132803) is 4424269294463346897454543930890587851731660439552000
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The
square root of 164164979904513280 is 405172777.8423832857 -
The
cube root of 164164979904513280 is 547553.8529398231
Scales and comparisons
How big is 164164979904513280?- 164,164,979,904,513,280 seconds is equal to 5,219,938,565 years, 17 weeks, 4 days, 17 hours, 14 minutes, 40 seconds.
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To count from 1 to 164,164,979,904,513,280 would take you about fifteen billion, six hundred fifty-nine million, eight hundred fifteen thousand, six 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 164164979904513280 cubic inches would be around 45629.5 feet tall.
Recreational maths with 164164979904513280
- 164164979904513280 backwards is 082315409979461461
- The number of decimal digits it has is: 18
- The sum of 164164979904513280's digits is 79
- More coming soon!
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The information we have on file for 164164979904513280 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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