164436680438016
164,436,680,438,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 164436680438016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
164436680438016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 164436680438016:
28 × 3 × 72 × 277 × 643 × 24533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 277 × 643 × 24533)See below for interesting mathematical facts about the number 164436680438016 from the Numbermatics database.
Names of 164436680438016
- Cardinal: 164436680438016 can be written as One hundred sixty-four trillion, four hundred thirty-six billion, six hundred eighty million, four hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.64436680438016 × 1014
Factors of 164436680438016
Divisors of 164436680438016
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 277 294 336 384 392 448 554 588 643 672 768 784 831 896 1108 1176 1286 1344 1568 1662 1792 1929 1939 2216 2352 2572 2688 3136 3324 3858 3878 4432 4501 4704 5144 5376 5817 6272 6648 7716 7756 8864 9002 9408 10288 11634 12544 13296 13503 13573 15432 15512 17728 18004 18816 20576 23268 24533 26592 27006 27146 30864 31024 31507 35456 36008 37632 40719 41152 46536 49066 53184 54012 54292 61728 62048 63014 70912 72016 73599 81438 82304 93072 94521 98132 106368 108024 108584 123456 124096 126028 144032 147198 162876 164608 171731 178111 186144 189042 196264 212736 216048 217168 246912 248192 252056 288064 294396 325752 343462 356222 372288 378084 392528 432096 434336 493824 496384 504112 515193 534333 576128 588792 651504 686924 712444 744576 756168 785056 864192 868672 1008224 1030386 1068666 1152256 1177584 1202117 1246777 1303008 1373848 1424888 1489152 1512336 1570112 1728384 1737344 2016448 2060772 2137332 2355168 2404234 2493554 2606016 2747696 2849776 3024672 3140224 3456768 3474688 3606351 3740331 4032896 4121544 4274664 4710336 4808468 4987108 5212032 5495392 5699552 6049344 6280448 6795641 7212702 7480662 8065792 8243088 8549328 8727439 9420672 9616936 9974216 10424064 10990784 11399104 12098688 13591282 14425404 14961324 15774719 16486176 17098656 17454878 18841344 19233872 19948432 20386923 21981568 22798208 24197376 26182317 27182564 28850808 29922648 31549438 32972352 34197312 34909756 38467744 39896864 40773846 43963136 45596416 47324157 47569487 52364634 54365128 57701616 59845296 63098876 65944704 68394624 69819512 76935488 79793728 81547692 94648314 95138974 104729268 108730256 110423033 115403232 119690592 126197752 131889408 136789248 139639024 142708461 153870976 159587456 163095384 189296628 190277948 209458536 217460512 220846066 230806464 239381184 252395504 279278048 285416922 307741952 319174912 326190768 331269099 332986409 378593256 380555896 418917072 434921024 441692132 461612928 478762368 504791008 558556096 570833844 652381536 662538198 665972818 757186512 761111792 772961231 837834144 869842048 883384264 923225856 957524736 998959227 1009582016 1117112192 1141667688 1304763072 1325076396 1331945636 1514373024 1522223584 1545922462 1675668288 1739684096 1766768528 1997918454 2019164032 2234224384 2283335376 2318883693 2609526144 2650152792 2663891272 3028746048 3044447168 3091844924 3351336576 3533537056 3995836908 4038328064 4369597163 4566670752 4637767386 5219052288 5300305584 5327782544 6057492096 6088894336 6183689848 6702673152 7067074112 7991673816 8739194326 9133341504 9275534772 10600611168 10655565088 12114984192 12177788672 12367379696 13108791489 14134148224 15983347632 17478388652 18266683008 18551069544 21201222336 21311130176 24734759392 26217582978 28268296448 30587180141 31966695264 34956777304 36533366016 37102139088 42402444672 42622260352 49469518784 52435165956 61174360282 63933390528 69913554608 74204278176 84804889344 85244520704 91761540423 98939037568 104870331912 122348720564 127866781056 139827109216 148408556352 183523080846 197878075136 209740663824 214110260987 244697441128 255733562112 279654218432 296817112704 367046161692 419481327648 428220521974 489394882256 559308436864 593634225408 642330782961 734092323384 838962655296 856441043948 978789764512 1118616873728 1284661565922 1468184646768 1677925310592 1712882087896 1957579529024 2569323131844 2936369293536 3355850621184 3425764175792 3915159058048 5138646263688 5872738587072 6851528351584 7830318116096 10277292527376 11745477174144 13703056703168 20554585054752 23490954348288 27406113406336 41109170109504 54812226812672 82218340219008 164436680438016
- Sum of all divisors σ(n): 511746370720704
- Sum of proper divisors (its aliquot sum) s(n): 347309690282688
- 164436680438016 is an abundant number, because the sum of its proper divisors (347309690282688) is greater than itself. Its abundance is 182873009844672
Bases of 164436680438016
- Binary: 1001010110001101111001011110110011110001000000002
- Hexadecimal: 0x958DE5ECF100
- Base-36: 1MAD61WIYO
Squares and roots of 164436680438016
- 164436680438016 squared (1644366804380162) is 27039421873474193845618016256
- 164436680438016 cubed (1644366804380163) is 4446272773837175912981531632804891088388096
-
The
square root of 164436680438016 is 12823286.6472685543 -
The
cube root of 164436680438016 is 54785.5761981463
Scales and comparisons
How big is 164436680438016?- 164,436,680,438,016 seconds is equal to 5,228,577 years, 41 weeks, 4 days, 21 hours, 13 minutes, 36 seconds.
-
To count from 1 to 164,436,680,438,016 would take you about thirteen million, seventy-one thousand, four hundred forty-four 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 164436680438016 cubic inches would be around 4565.5 feet tall.
Recreational maths with 164436680438016
- 164436680438016 backwards is 610834086634461
- The number of decimal digits it has is: 15
- The sum of 164436680438016's digits is 60
- More coming soon!
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