164742193124800

Names of 164742193124800

• Cardinal: 164742193124800 can be written as One hundred sixty-four trillion, seven hundred forty-two billion, one hundred ninety-three million, one hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 1.647421931248 × 10¹⁴

Factors of 164742193124800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 159

Divisors of 164742193124800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 109 160 172 200 215 218 320 344 400 430 436 545 688 800 860 872 1075 1090 1376 1600 1720 1744 1849 2150 2180 2725 2752 3440 3488 3698 4300 4360 4687 5450 6880 6976 7396 8600 8720 9245 9374 10900 11881 13760 14792 17200 17440 18490 18748 21800 23435 23762 29584 34400 34880 36980 37496 43600 46225 46870 47524 59168 59405 68800 73960 74992 79507 87200 92450 93740 95048 117175 118336 118810 147920 149984 159014 174400 184900 187480 190096 201541 234350 237620 295840 297025 299968 318028 369800 374960 380192 397535 403082 468700 475240 510883 591680 594050 636056 739600 749920 760384 795070 806164 937400 950480 1007705 1021766 1188100 1272112 1295029 1479200 1499840 1590140 1612328 1874800 1900960 1987675 2015410 2043532 2376200 2544224 2554415 2590058 2958400 3180280 3224656 3749600 3801920 3975350 4030820 4087064 4752400 5038525 5088448 5108830 5180116 6360560 6449312 6475145 7499200 7950700 8061640 8174128 8666263 9504800 10077050 10217660 10360232 12721120 12772075 12898624 12950290 15901400 16123280 16348256 17332526 19009600 20154100 20435320 20720464 21967969 25442240 25544150 25900580 31802800 32246560 32375725 32696512 34665052 40308200 40870640 41440928 43331315 43935938 51088300 51801160 55686247 63605600 64493120 64751450 69330104 80616400 81741280 82881856 86662630 87871876 102176600 103602320 109839845 111372494 127211200 129502900 138660208 161232800 163482560 173325260 175743752 204353200 207204640 216656575 219679690 222744988 259005800 277320416 278431235 322465600 346650520 351487504 408706400 414409280 433313150 439359380 445489976 518011600 549199225 554640832 556862470 693301040 702975008 817412800 866626300 878718760 890979952 944622667 1036023200 1098398450 1113724940 1386602080 1392156175 1405950016 1733252600 1757437520 1781959904 1889245334 2072046400 2196796900 2227449880 2394508621 2773204160 2784312350 3466505200 3514875040 3563919808 3778490668 4393593800 4454899760 4723113335 4789017242 5568624700 6933010400 7029750080 7556981336 8787187600 8909799520 9446226670 9578034484 11137249400 11972543105 13866020800 15113962672 17574375200 17819599040 18892453340 19156068968 22274498800 23615566675 23945086210 30227925344 35148750400 37784906680 38312137936 44548997600 47231133350 47890172420 59862715525 60455850688 75569813360 76624275872 89097995200 94462266700 95780344840 102963870703 119725431050 151139626720 153248551744 188924533400 191560689680 205927741406 239450862100 302279253440 377849066800 383121379360 411855482812 478901724200 514819353515 755698133600 766242758720 823710965624 957803448400 1029638707030 1511396267200 1647421931248 1915606896800 2059277414060 2574096767575 3294843862496 3831213793600 4118554828120 5148193535150 6589687724992 8237109656240 10296387070300 16474219312480 20592774140600 32948438624960 41185548281200 82371096562400 164742193124800
• Sum of all divisors σ(n): 418863052036000
• Sum of proper divisors (its aliquot sum) s(n): 254120858911200
• 164742193124800 is an abundant number, because the sum of its proper divisors (254120858911200) is greater than itself. Its abundance is 89378665786400

Bases of 164742193124800

• Binary: 100101011101010100000111111001101001010111000000₂
• Hexadecimal: 0x95D507E695C0
• Base-36: 1ME9IO9OSG

Squares and roots of 164742193124800

• 164742193124800 squared (164742193124800²) is 27139990195568900388375040000
• 164742193124800 cubed (164742193124800³) is 4471101506203590308986454564531924992000000
• The square root of 164742193124800 is 12835193.5367099159
• The cube root of 164742193124800 is 54819.4845560149

Scales and comparisons

• 164,742,193,124,800 seconds is equal to 5,238,292 years, 8 weeks, 2 days, 8 hours, 26 minutes, 40 seconds.
• To count from 1 to 164,742,193,124,800 would take you about thirteen million, ninety-five thousand, seven hundred thirty 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 164742193124800 cubic inches would be around 4568.3 feet tall.

Recreational maths with 164742193124800

• 164742193124800 backwards is 008421391247461
• The number of decimal digits it has is: 15
• The sum of 164742193124800's digits is 52
• More coming soon!