164456861038922400

Names of 164456861038922400

• Cardinal: 164456861038922400 can be written as One hundred sixty-four quadrillion, four hundred fifty-six trillion, eight hundred sixty-one billion, thirty-eight million, nine hundred twenty-two thousand, four hundred.

Scientific notation

• Scientific notation: 1.644568610389224 × 10¹⁷

Factors of 164456861038922400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 180013

Divisors of 164456861038922400

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 163 195 200 208 240 260 300 312 325 326 390 400 416 480 489 520 600 624 650 652 780 800 815 975 978 1040 1200 1248 1300 1304 1560 1630 1950 1956 2080 2119 2400 2445 2600 2608 3120 3260 3900 3912 4075 4238 4890 5200 5216 6240 6357 6520 7800 7824 8150 8476 9780 10400 10595 12225 12714 13040 15600 15648 16300 16952 19560 21190 24450 25428 26080 31200 31785 32600 33904 39120 42380 48900 50856 52975 63570 65200 67808 78240 84760 97800 101712 105950 127140 130400 158925 169520 179827 195600 203424 211900 254280 317850 339040 359654 391200 423800 508560 539481 635700 719308 847600 899135 1017120 1078962 1271400 1438616 1695200 1798270 2157924 2337751 2542800 2697405 2877232 3596540 4315848 4495675 4675502 5085600 5394810 5754464 7013253 7193080 8631696 8991350 9351004 10789620 11688755 13487025 14026506 14386160 17263392 17982700 18702008 21579240 23377510 26974050 28053012 28772320 29311801 35066265 35965400 37404016 43158480 46755020 53948100 56106024 58443775 58623602 70132530 71930800 74808032 86316960 87935403 93510040 107896200 112212048 116887550 117247204 140265060 143861600 146559005 175331325 175870806 187020080 215792400 224424096 233775100 234494408 280530120 293118010 350662650 351741612 374040160 381053413 431584800 439677015 467550200 468988816 561060240 586236020 701325300 703483224 732795025 762106826 879354030 935100400 937977632 1122120480 1143160239 1172472040 1402650600 1406966448 1465590050 1524213652 1758708060 1870200800 1905267065 2198385075 2286320478 2344944080 2805301200 2813932896 2931180100 3048427304 3517416120 3810534130 4396770150 4572640956 4689888160 5610602400 5715801195 5862360200 6096854608 7034832240 7621068260 8793540300 9145281912 9526335325 11431602390 11724720400 12193709216 14069664480 15242136520 17587080600 18290563824 19052670650 22863204780 23449440800 28579005975 30484273040 32337749929 35174161200 36581127648 38105341300 45726409560 57158011950 60968546080 64675499858 70348322400 76210682600 91452819120 97013249787 114316023900 129350999716 152421365200 161688749645 182905638240 194026499574 228632047800 258701999432 304842730400 323377499290 388052999148 420390749077 457264095600 485066248935 517403998864 646754998580 776105998296 808443748225 840781498154 914528191200 970132497870 1034807997728 1261172247231 1293509997160 1552211996592 1616887496450 1681562996308 1940264995740 2101953745385 2425331244675 2522344494462 2587019994320 3104423993184 3233774992900 3363125992616 3880529991480 4203907490770 4850662489350 5044688988924 5174039988640 5271053238427 6305861236155 6467549985800 6726251985232 7761059982960 8407814981540 9701324978700 10089377977848 10509768726925 10542106476854 12611722472310 12935099971600 13452503970464 15522119965920 15813159715281 16815629963080 19402649957400 20178755955696 21019537453850 21084212953708 25223444944620 25870199943200 26355266192135 31529306180775 31626319430562 33631259926160 38805299914800 40357511911392 42039074907700 42168425907416 50446889889240 52710532384270 63058612361550 63252638861124 67262519852320 68523692099551 77610599829600 79065798576405 84078149815400 84336851814832 100893779778480 105421064768540 126117224723100 126505277722248 131776330960675 137047384199102 158131597152810 168156299630800 168673703629664 201787559556960 205571076298653 210842129537080 252234449446200 253010555444496 263552661921350 274094768398204 316263194305620 336312599261600 342618460497755 395328992882025 411142152597306 421684259074160 504468898892400 506021110888992 527105323842700 548189536796408 632526388611240 685236920995510 790657985764050 822284305194612 843368518148320 1008937797784800 1027855381493265 1054210647685400 1096379073592816 1265052777222480 1370473841991020 1581315971528100 1644568610389224 1713092302488775 2055710762986530 2108421295370800 2192758147185632 2530105554444960 2740947683982040 3162631943056200 3289137220778448 3426184604977550 4111421525973060 4216842590741600 5139276907466325 5481895367964080 6325263886112400 6578274441556896 6852369209955100 8222843051946120 10278553814932650 10963790735928160 12650527772224800 13704738419910200 16445686103892240 20557107629865300 27409476839820400 32891372207784480 41114215259730600 54818953679640800 82228430519461200 164456861038922400
• Sum of all divisors σ(n): 580024491072826464
• Sum of proper divisors (its aliquot sum) s(n): 415567630033904064
• 164456861038922400 is an abundant number, because the sum of its proper divisors (415567630033904064) is greater than itself. Its abundance is 251110768994981664

Bases of 164456861038922400

• Binary: 1001001000010001001010010011001111000110011100101010100000₂
• Hexadecimal: 0x24844A4CF19CAA0
• Base-36: 18ZB3AZ493MO

Squares and roots of 164456861038922400

• 164456861038922400 squared (164456861038922400²) is 27046059142775432454687753221760000
• 164456861038922400 cubed (164456861038922400³) is 4447909990093895981794235122167625101358631424000000
• The square root of 164456861038922400 is 405532811.2975846495
• The cube root of 164456861038922400 is 547878.1730521989

Scales and comparisons

• 164,456,861,038,922,400 seconds is equal to 5,229,219,482 years, 29 weeks, 3 days, 4 hours, 40 minutes.
• To count from 1 to 164,456,861,038,922,400 would take you about fifteen billion, six hundred eighty-seven million, six hundred fifty-eight thousand, four hundred forty-seven 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 164456861038922400 cubic inches would be around 45656.5 feet tall.

Recreational maths with 164456861038922400

• 164456861038922400 backwards is 004229830168654461
• The number of decimal digits it has is: 18
• The sum of 164456861038922400's digits is 69
• More coming soon!