164408016683008

Names of 164408016683008

• Cardinal: 164408016683008 can be written as One hundred sixty-four trillion, four hundred eight billion, sixteen million, six hundred eighty-three thousand and eight.

Scientific notation

• Scientific notation: 1.64408016683008 × 10¹⁴

Factors of 164408016683008

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 510

Divisors of 164408016683008

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 14 16 19 28 32 38 49 56 64 73 76 98 112 128 133 146 152 196 224 256 266 292 304 361 392 409 448 511 512 532 584 608 722 784 818 896 931 1022 1024 1064 1168 1216 1387 1444 1568 1636 1792 1862 2044 2048 2128 2336 2432 2527 2774 2863 2888 3136 3272 3577 3584 3724 4088 4096 4256 4672 4864 5054 5548 5726 5776 6272 6544 6859 7154 7168 7448 7771 8176 8192 8512 9344 9709 9728 10108 11096 11452 11552 12544 13088 13718 14308 14336 14896 15542 16352 16384 17024 17689 18688 19418 19456 20041 20216 22192 22904 23104 25088 26176 26353 27436 28616 28672 29792 29857 31084 32704 34048 35378 37376 38836 38912 40082 40432 44384 45808 46208 48013 50176 52352 52706 54397 54872 57232 57344 59584 59714 62168 65408 67963 68096 70756 74752 77672 77824 80164 80864 88768 91616 92416 96026 100352 104704 105412 108794 109744 114464 114688 119168 119428 124336 130816 135926 136192 141512 147649 149504 155344 155648 160328 161728 177536 183232 184471 184832 192052 200704 208999 209408 210824 217588 219488 228928 238336 238856 248672 261632 271852 272384 283024 295298 299008 310688 311296 320656 323456 336091 355072 366464 368942 369664 380779 384104 401408 417998 418816 421648 435176 438976 457856 476672 477712 497344 500707 523264 543704 544768 566048 567283 590596 598016 621376 641312 646912 672182 710144 732928 737884 739328 761558 768208 802816 835996 837632 843296 870352 877952 915712 953344 955424 994688 1001414 1033543 1046528 1087408 1089536 1132096 1134566 1181192 1196032 1242752 1282624 1291297 1293824 1344364 1420288 1462993 1465856 1475768 1478656 1523116 1536416 1671992 1675264 1686592 1740704 1755904 1831424 1906688 1910848 1989376 2002828 2067086 2093056 2174816 2179072 2264192 2269132 2362384 2485504 2565248 2582594 2587648 2688728 2805331 2840576 2925986 2931712 2951536 2957312 3046232 3072832 3343984 3350528 3373184 3481408 3504949 3511808 3662848 3813376 3821696 3970981 3978752 4005656 4134172 4186112 4349632 4528384 4538264 4724768 4971008 5130496 5165188 5175296 5377456 5610662 5681152 5851972 5863424 5903072 5914624 6092464 6145664 6687968 6701056 6746368 6962816 7009898 7023616 7234801 7325696 7626752 7643392 7941962 7957504 8011312 8268344 8372224 8699264 9056768 9076528 9449536 9942016 10260992 10330376 10350592 10754912 10778377 11221324 11362304 11703944 11726848 11806144 12184928 12291328 13375936 13492736 13925632 14019796 14047232 14469602 14651392 15253504 15286784 15883924 15915008 16022624 16536688 17398528 18113536 18153056 18899072 19637317 19884032 20521984 20660752 20701184 21509824 21556754 22442648 22724608 23407888 23453696 23612288 24369856 24534643 24582656 26751872 26985472 27796867 27851264 28039592 28094464 28939204 29302784 30573568 31767848 31830016 32045248 33073376 34797056 36227072 36306112 37798144 39274634 39768064 41043968 41321504 41402368 43019648 43113508 44885296 46815776 46907392 47224576 48739712 49069286 49165312 53503744 53970944 55593734 55702528 56079184 56188928 57878408 58605568 61147136 63535696 63660032 64090496 66146752 69594112 72454144 72612224 75448639 75596288 78549268 79536128 82087936 82643008 86039296 86227016 89770592 93631552 94449152 97479424 98138572 98330624 107007488 107941888 111187468 111405056 112158368 112377856 115756816 122294272 127071392 127320064 128180992 132293504 137461219 139188224 144908288 145224448 150897278 151192576 157098536 159072256 164175872 165286016 172078592 172454032 179541184 187263104 188898304 194958848 196277144 196661248 204789163 214014976 215883776 222374936 222810112 224316736 231513632 244588544 254142784 256361984 264587008 274922438 278376448 289816576 290448896 301794556 302385152 314197072 328351744 330572032 344157184 344908064 359082368 374526208 377796608 389917696 392554288 393322496 409578326 428029952 431767552 444749872 445620224 448633472 463027264 489177088 508285568 512723968 528140473 529174016 549844876 556752896 580897792 603589112 604770304 628394144 661144064 688314368 689816128 718164736 749052416 755593216 779835392 785108576 786644992 819156652 856059904 889499744 891240448 897266944 926054528 1016571136 1025447936 1056280946 1058348032 1099689752 1113505792 1161795584 1207178224 1209540608 1256788288 1322288128 1376628736 1379632256 1433524141 1436329472 1498104832 1511186432 1559670784 1570217152 1638313304 1712119808 1778999488 1794533888 1852109056 2033142272 2050895872 2112561892 2116696064 2199379504 2323591168 2414356448 2419081216 2513576576 2644576256 2753257472 2759264512 2867048282 2872658944 2996209664 3022372864 3119341568 3140434304 3276626608 3424239616 3557998976 3589067776 3704218112 4066284544 4101791744 4225123784 4233392128 4398759008 4647182336 4828712896 5027153152 5289152512 5506514944 5518529024 5734096564 5745317888 5992419328 6238683136 6280868608 6553253216 7115997952 7178135552 7408436224 8132569088 8203583488 8450247568 8466784256 8797518016 9294364672 9657425792 10034668987 10054306304 10578305024 11037058048 11468193128 11490635776 11984838656 12561737216 13106506432 14231995904 14356271104 14816872448 16265138176 16900495136 16933568512 17595036032 19314851584 20069337974 20108612608 21156610048 22074116096 22936386256 22981271552 23969677312 25123474432 26213012864 28463991808 28712542208 29633744896 32530276352 33800990272 35190072064 38629703168 40138675948 40217225216 44148232192 45872772512 45962543104 50246948864 52426025728 56927983616 57425084416 59267489792 65060552704 67601980544 70380144128 77259406336 80277351896 80434450432 88296464384 91745545024 100493897728 104852051456 113855967232 118534979584 135203961088 140760288256 154518812672 160554703792 160868900864 176592928768 183491090048 200987795456 209704102912 227711934464 270407922176 281520576512 309037625344 321109407584 321737801728 366982180096 401975590912 419408205824 455423868928 540815844352 563041153024 618075250688 642218815168 733964360192 838816411648 1081631688704 1126082306048 1236150501376 1284437630336 1467928720384 1677632823296 2163263377408 2252164612096 2568875260672 2935857440768 3355265646592 4326526754816 5137750521344 5871714881536 8653053509632 10275501042688 11743429763072 20551002085376 23486859526144 41102004170752 82204008341504 164408016683008
• Sum of all divisors σ(n): 410266143890400
• Sum of proper divisors (its aliquot sum) s(n): 245858127207392
• 164408016683008 is an abundant number, because the sum of its proper divisors (245858127207392) is greater than itself. Its abundance is 81450110524384

Bases of 164408016683008

• Binary: 100101011000011100111001011011101100000000000000₂
• Hexadecimal: 0x9587396EC000
• Base-36: 1MA0008S1S

Squares and roots of 164408016683008

• 164408016683008 squared (164408016683008²) is 27029995949640236850755928064
• 164408016683008 cubed (164408016683008³) is 4443948025030090727974749124202065939136512
• The square root of 164408016683008 is 12822168.9539253849
• The cube root of 164408016683008 is 54782.3927000271

Scales and comparisons

• 164,408,016,683,008 seconds is equal to 5,227,666 years, 19 weeks, 6 days, 11 hours, 3 minutes, 28 seconds.
• To count from 1 to 164,408,016,683,008 would take you about thirteen million, sixty-nine thousand, one hundred sixty-five 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 164408016683008 cubic inches would be around 4565.2 feet tall.

Recreational maths with 164408016683008

• 164408016683008 backwards is 800386610804461
• The number of decimal digits it has is: 15
• The sum of 164408016683008's digits is 55
• More coming soon!