164107450459724800

Names of 164107450459724800

• Cardinal: 164107450459724800 can be written as One hundred sixty-four quadrillion, one hundred seven trillion, four hundred fifty billion, four hundred fifty-nine million, seven hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.641074504597248 × 10¹⁷

Factors of 164107450459724800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 136723

Divisors of 164107450459724800

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 343 350 392 400 448 490 512 560 640 686 700 784 800 896 980 1024 1120 1225 1280 1372 1400 1568 1600 1715 1792 1960 2240 2450 2560 2744 2800 3136 3200 3430 3584 3920 4480 4900 5120 5488 5600 6272 6400 6860 7168 7840 8575 8960 9800 10976 11200 12544 12800 13720 15680 17150 17920 19600 21952 22400 25088 25600 27440 31360 34300 35840 39200 43904 44800 50176 54880 62720 68600 78400 87808 89600 109760 125440 136709 137200 156800 175616 179200 219520 250880 273418 274400 313600 351232 439040 546836 548800 627200 683545 878080 956963 1093672 1097600 1254400 1367090 1756160 1913926 2187344 2195200 2734180 3417725 3827852 4374688 4390400 4784815 5468360 6698741 6835450 7655704 8749376 8780800 9569630 10936720 13397482 13670900 15311408 17498752 19139260 21873440 23924075 26794964 27341800 30622816 33493705 34997504 38278520 43746880 46891187 47848150 53589928 54683600 61245632 66987410 69995008 76557040 87493760 93782374 95696300 107179856 109367200 122491264 133974820 139990016 153114080 167468525 174987520 187564748 191392600 214359712 218734400 234455935 244982528 267949640 306228160 334937050 349975040 375129496 382785200 428719424 437468800 468911870 489965056 535899280 612456320 669874100 699950080 750258992 765570400 857438848 874937600 937823740 979930112 1071798560 1172279675 1224912640 1339748200 1500517984 1531140800 1714877696 1749875200 1875647480 2143597120 2344559350 2449825280 2679496400 3001035968 3062281600 3429755392 3499750400 3751294960 4287194240 4689118700 4899650560 5358992800 6002071936 6124563200 6859510784 7502589920 8574388480 9378237400 10717985600 12004143872 12249126400 15005179840 17148776960 18689350681 18756474800 21435971200 24008287744 24498252800 30010359680 34297553920 37378701362 37512949600 42871942400 48016575488 60020719360 74757402724 75025899200 85743884800 93446753405 120041438720 130825454767 149514805448 150051798400 171487769600 186893506810 240082877440 261650909534 299029610896 300103596800 373787013620 467233767025 523301819068 598059221792 600207193600 654127273835 747574027240 915778183369 934467534050 1046603638136 1196118443584 1200414387200 1308254547670 1495148054480 1831556366738 1868935068100 2093207276272 2392236887168 2616509095340 2990296108960 3270636369175 3663112733476 3737870136200 4186414552544 4578890916845 4784473774336 5233018190680 5980592217920 6410447283583 6541272738350 7326225466952 7475740272400 8372829105088 9157781833690 9568947548672 10466036381360 11961184435840 12820894567166 13082545476700 14652450933904 14951480544800 16745658210176 18315563667380 19137895097344 20932072762720 22894454584225 23922368871680 25641789134332 26165090953400 29304901867808 29902961089600 32052236417915 33491316420352 36631127334760 41864145525440 45788909168450 47844737743360 51283578268664 52330181906800 58609803735616 59805922179200 64104472835830 66982632840704 73262254669520 83728291050880 91577818336900 95689475486720 102567156537328 104660363813600 117219607471232 119611844358400 128208945671660 133965265681408 146524509339040 160261182089575 167456582101760 183155636673800 205134313074656 209320727627200 234439214942464 239223688716800 256417891343320 293049018678080 320522364179150 334913164203520 366311273347600 410268626149312 418641455254400 468878429884928 478447377433600 512835782686640 586098037356160 641044728358300 669826328407040 732622546695200 820537252298624 837282910508800 937756859769856 1025671565373280 1172196074712320 1282089456716600 1465245093390400 1641074504597248 1674565821017600 2051343130746560 2344392149424640 2564178913433200 2930490186780800 3282149009194496 3349131642035200 4102686261493120 4688784298849280 5128357826866400 5860980373561600 6564298018388992 8205372522986240 10256715653732800 11721960747123200 16410745045972480 20513431307465600 23443921494246400 32821490091944960 41026862614931200 82053725229862400 164107450459724800
• Sum of all divisors σ(n): 474391520548274800
• Sum of proper divisors (its aliquot sum) s(n): 310284070088550000
• 164107450459724800 is an abundant number, because the sum of its proper divisors (310284070088550000) is greater than itself. Its abundance is 146176619628825200

Bases of 164107450459724800

• Binary: 1001000111000001101101101101010001101001011001110000000000₂
• Hexadecimal: 0x24706DB51A59C00
• Base-36: 18VV8HYYWUF4

Squares and roots of 164107450459724800

• 164107450459724800 squared (164107450459724800²) is 26931255296391029470866891735040000
• 164107450459724800 cubed (164107450459724800³) is 4419619644370692004221121637351877677512916992000000
• The square root of 164107450459724800 is 405101777.9024486089
• The cube root of 164107450459724800 is 547489.8844663051

Scales and comparisons

• 164,107,450,459,724,800 seconds is equal to 5,218,109,306 years, 49 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 164,107,450,459,724,800 would take you about fifteen billion, six hundred fifty-four million, three hundred twenty-seven thousand, nine hundred twenty 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 164107450459724800 cubic inches would be around 45624.2 feet tall.

Recreational maths with 164107450459724800

• 164107450459724800 backwards is 008427954054701461
• The number of decimal digits it has is: 18
• The sum of 164107450459724800's digits is 67
• More coming soon!