164415888017216

Names of 164415888017216

• Cardinal: 164415888017216 can be written as One hundred sixty-four trillion, four hundred fifteen billion, eight hundred eighty-eight million, seventeen thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.64415888017216 × 10¹⁴

Factors of 164415888017216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 187

Divisors of 164415888017216

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 4 8 11 16 22 29 31 32 41 44 58 62 64 73 82 88 116 124 146 164 176 232 248 292 319 328 341 352 451 464 496 584 638 656 682 704 803 841 899 902 928 992 1168 1189 1271 1276 1312 1364 1606 1681 1682 1798 1804 1856 1984 2117 2263 2336 2378 2542 2552 2624 2728 2993 3212 3362 3364 3596 3608 4234 4526 4672 4756 5084 5104 5329 5456 5986 6424 6724 6728 7192 7216 8468 9052 9251 9512 9889 10168 10208 10658 10912 11972 12848 13079 13448 13456 13981 14384 14432 16936 18104 18491 18502 19024 19778 20336 20416 21316 21824 23287 23944 24893 25696 26071 26158 26896 26912 27962 28768 28864 32923 33872 34481 36208 36859 36982 37004 38048 39556 40672 42632 46574 47888 48749 49786 51392 52111 52142 52316 53792 53824 55924 57536 58619 61393 65627 65846 67744 68962 72416 73718 73964 74008 76096 79112 81344 85264 86797 92783 93148 95776 97498 99572 104222 104284 104632 107584 111848 117238 122713 122786 131254 131692 135488 137924 144832 147436 147928 148016 154541 158224 165199 170528 173594 185566 186296 191552 194996 199144 208444 208568 209264 218489 223696 234476 245426 245572 262508 263384 275848 286781 294872 295856 296032 309082 316448 330398 341056 347188 371132 372592 379291 389992 398288 405449 416888 417136 418528 436978 447392 468952 490852 491144 525016 526768 536239 551696 573221 573562 589744 591712 592064 618164 632896 660796 675323 694376 721897 742264 745184 758582 779984 796576 810898 833776 834272 837056 873956 894784 937904 954767 981704 982288 1020613 1050032 1053536 1068911 1072478 1103392 1146442 1147124 1179488 1183424 1236328 1321592 1349843 1350646 1388752 1413721 1443794 1484528 1490368 1511219 1517164 1559968 1593152 1621796 1667552 1668544 1699951 1747912 1817189 1875808 1903183 1909534 1963408 1964576 2041226 2100064 2107072 2137822 2144956 2206784 2292884 2294248 2358976 2403379 2472656 2517113 2643184 2690707 2699686 2701292 2777504 2827442 2887588 2969056 3022438 3034328 3119936 3243592 3335104 3399902 3495824 3558677 3634378 3751616 3804103 3806366 3819068 3926816 3929152 4082452 4200128 4275644 4289912 4481689 4585768 4588496 4790771 4806758 4945312 5034226 5286368 5381414 5399372 5402584 5555008 5654884 5775176 5938112 6044876 6068656 6336181 6487184 6773159 6799804 6991648 7117354 7268756 7608206 7612732 7638136 7853632 8164904 8551288 8579824 8958049 8963378 9171536 9176992 9581542 9613516 9890624 10068452 10572736 10762828 10798744 10805168 11309768 11550352 11758021 12089752 12137312 12672362 12974368 13546318 13599608 13983296 14234708 14537512 15216412 15225464 15276272 15550931 16329808 16623409 17102576 17159648 17916098 17926756 18343072 18353984 19163084 19227032 20136904 20935013 21525656 21597488 21610336 22619536 23100704 23516042 24179504 24274624 25344724 25948736 27092636 27199216 27688243 28469416 29075024 29597777 30432824 30450928 30552544 31101862 32659616 33246818 34205152 34319296 35832196 35853512 36686144 38326168 38454064 39145447 40273808 41845133 41870026 43051312 43194976 43220672 43825351 45239072 46201408 47032084 48359008 49298579 50689448 52698481 54185272 54398432 55376486 56938832 58150048 59195554 60865648 60901856 61105088 62203724 65319232 66493636 68410304 69697991 71664392 71707024 74504749 76652336 76908128 78030503 78290894 80547616 83690266 83740052 86102624 86389952 87650702 90478144 94064168 96718016 98538539 98597158 101378896 103201633 105396962 108370544 108796864 110318987 110752972 113877664 116300096 118391108 121731296 121803712 124407448 132987272 138932359 139395982 143328784 143414048 149009498 153304672 153816256 156061006 156581788 161095232 167380532 167480104 172205248 175301404 183749249 188128336 196421611 197077078 197194316 202757792 206403266 210793924 216741088 220637974 221505944 227755328 236782216 243462592 248814896 259783421 265974544 277699519 277864718 278791964 286657568 286828096 298018996 306609344 312122012 313163576 334761064 334960208 350602808 367498498 376256672 392843222 394154156 394388632 405515584 412806532 421587848 433482176 441275948 443011888 473564432 482078861 497629792 519566842 531949088 555399038 555729436 557583928 573315136 596037992 624244024 626327152 669522128 669920416 701205616 734996996 752513344 785686444 788308312 788777264 825613064 843175696 858335533 882551896 886023776 947128864 964157722 995259584 1039133684 1063898176 1110798076 1111458872 1115167856 1135217963 1192075984 1213508857 1248488048 1252654304 1339044256 1339840832 1402411232 1469993992 1528255949 1571372888 1576616624 1577554528 1651226128 1686351392 1716671066 1765103792 1772047552 1894257728 1928315444 2021241739 2078267368 2160637721 2221596152 2222917744 2230335712 2270435926 2384151968 2427017714 2496976096 2505308608 2678088512 2804822464 2857617631 2939987984 3054694709 3056511898 3142745776 3153233248 3155109056 3199250623 3302452256 3372702784 3433342132 3530207584 3856630888 4042483478 4156534736 4321275442 4443192304 4445835488 4460671424 4540871852 4768303936 4854035428 4993952192 5696226719 5715235262 5879975968 6109389418 6113023796 6285491552 6306466496 6398501246 6604904512 6866684264 7060415168 7533719209 7713261776 8053286051 8084966956 8313069472 8642550884 8886384608 8891670976 9081743704 9708070856 11392453438 11430470524 11759951936 12218778836 12226047592 12570983104 12797002492 13733368528 15067438418 15426523552 16106572102 16169933912 16626138944 17285101768 17772769216 18163487408 19416141712 22784906876 22860941048 24437557672 24452095184 25594004984 27466737056 30134876836 30853047104 32213144204 32339867824 34570203536 35191756853 36326974816 38832283424 45569813752 45721882096 48875115344 48904190368 51188009968 54933474112 60269753672 62658493909 64426288408 64679735648 69140407072 70383513706 72653949632 77664566848 82870911299 88586146561 91139627504 91443764192 97750230688 97808380736 102376019936 120539507344 125316987818 128852576816 129359471296 138280814144 140767027412 165741822598 177172293122 182279255008 182887528384 195500461376 204752039872 233545295479 241079014688 250633975636 257705153632 281534054824 331483645196 354344586244 364558510016 467090590958 482158029376 501267951272 515410307264 563068109648 662967290392 708689172488 934181181916 1002535902544 1126136219296 1325934580784 1417378344976 1868362363832 2005071805088 2252272438592 2568998250269 2651869161568 2834756689952 3736724727664 4010143610176 5137996500538 5303738323136 5669513379904 7473449455328 10275993001076 14946898910656 20551986002152 41103972004304 82207944008608 164415888017216
• Sum of all divisors σ(n): 395433396738432
• Sum of proper divisors (its aliquot sum) s(n): 231017508721216
• 164415888017216 is an abundant number, because the sum of its proper divisors (231017508721216) is greater than itself. Its abundance is 66601620704000

Bases of 164415888017216

• Binary: 100101011000100100001110100110011100011101000000₂
• Hexadecimal: 0x95890E99C740
• Base-36: 1MA3M6MSE8

Squares and roots of 164415888017216

• 164415888017216 squared (164415888017216²) is 27032584232489711855912390656
• 164415888017216 cubed (164415888017216³) is 4444586341984987395800506639220530245533696
• The square root of 164415888017216 is 12822475.8926354001
• The cube root of 164415888017216 is 54783.2669551253

Scales and comparisons

• 164,415,888,017,216 seconds is equal to 5,227,916 years, 34 weeks, 4 days, 20 hours, 46 minutes, 56 seconds.
• To count from 1 to 164,415,888,017,216 would take you about thirteen million, sixty-nine thousand, seven hundred ninety-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 164415888017216 cubic inches would be around 4565.3 feet tall.

Recreational maths with 164415888017216

• 164415888017216 backwards is 612710888514461
• 164415888017216 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 164415888017216's digits is 62
• More coming soon!