64135472742400
64,135,472,742,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 64135472742400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
64135472742400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 64135472742400:
217 × 52 × 17 × 292 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 29 × 37 × 37)See below for interesting mathematical facts about the number 64135472742400 from the Numbermatics database.
Names of 64135472742400
- Cardinal: 64135472742400 can be written as Sixty-four trillion, one hundred thirty-five billion, four hundred seventy-two million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 6.41354727424 × 1013
Factors of 64135472742400
Divisors of 64135472742400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 37 40 50 58 64 68 74 80 85 100 116 128 136 145 148 160 170 185 200 232 256 272 290 296 320 340 370 400 425 464 493 512 544 580 592 629 640 680 725 740 800 841 850 925 928 986 1024 1073 1088 1160 1184 1258 1280 1360 1369 1450 1480 1600 1682 1700 1850 1856 1972 2048 2146 2176 2320 2368 2465 2516 2560 2720 2738 2900 2960 3145 3200 3364 3400 3700 3712 3944 4096 4205 4292 4352 4640 4736 4930 5032 5120 5365 5440 5476 5800 5920 6290 6400 6728 6800 6845 7400 7424 7888 8192 8410 8584 8704 9280 9472 9860 10064 10240 10730 10880 10952 11600 11840 12325 12580 12800 13456 13600 13690 14297 14800 14848 15725 15776 16384 16820 17168 17408 18241 18560 18944 19720 20128 20480 21025 21460 21760 21904 23200 23273 23680 24650 25160 25600 26825 26912 27200 27380 28594 29600 29696 31117 31450 31552 32768 33640 34225 34336 34816 36482 37120 37888 39440 39701 40256 40960 42050 42920 43520 43808 46400 46546 47360 49300 50320 51200 53650 53824 54400 54760 57188 59200 59392 62234 62900 63104 65536 67280 68450 68672 69632 71485 72964 74240 75776 78880 79402 80512 81920 84100 85840 87040 87616 91205 92800 93092 94720 98600 100640 102400 107300 107648 108800 109520 114376 116365 118400 118784 124468 125800 126208 131072 134560 136900 137344 139264 142970 145928 148480 151552 155585 157760 158804 161024 163840 168200 171680 174080 175232 182410 185600 186184 189440 197200 198505 201280 204800 214600 215296 217600 219040 228752 232730 236800 237568 248936 251600 252416 269120 273800 274688 278528 285940 291856 296960 303104 311170 315520 317608 322048 327680 336400 343360 348160 350464 357425 364820 371200 372368 378880 394400 397010 402560 409600 429200 430592 435200 438080 456025 457504 465460 473600 475136 497872 503200 504832 528989 538240 547600 549376 557056 571880 581825 583712 593920 606208 622340 631040 635216 644096 655360 672800 674917 686720 696320 700928 714850 729640 742400 744736 757760 777925 788800 794020 805120 819200 858400 861184 870400 876160 912050 915008 930920 947200 950272 992525 995744 1006400 1009664 1057978 1076480 1095200 1098752 1114112 1143760 1151329 1163650 1167424 1187840 1212416 1244680 1262080 1270432 1288192 1345600 1349834 1373440 1392640 1401856 1429700 1459280 1484800 1489472 1515520 1555850 1577600 1588040 1610240 1638400 1716800 1722368 1740800 1752320 1824100 1830016 1861840 1894400 1900544 1985050 1991488 2012800 2019328 2115956 2152960 2190400 2197504 2228224 2287520 2302658 2327300 2334848 2375680 2424832 2489360 2524160 2540864 2576384 2644945 2691200 2699668 2746880 2785280 2803712 2859400 2918560 2969600 2978944 3031040 3111700 3155200 3176080 3220480 3276800 3374585 3433600 3444736 3481600 3504640 3648200 3660032 3723680 3788800 3801088 3970100 3982976 4025600 4038656 4231912 4305920 4380800 4395008 4575040 4605316 4654600 4669696 4751360 4849664 4978720 5048320 5081728 5152768 5289890 5382400 5399336 5493760 5570560 5607424 5718800 5756645 5837120 5939200 5957888 6062080 6223400 6310400 6352160 6440960 6749170 6867200 6889472 6963200 7009280 7296400 7320064 7447360 7577600 7940200 7965952 8051200 8077312 8463824 8611840 8761600 8790016 9150080 9210632 9309200 9339392 9502720 9957440 10096640 10163456 10305536 10579780 10764800 10798672 10987520 11141120 11214848 11437600 11513290 11674240 11878400 11915776 12124160 12446800 12620800 12704320 12881920 13224725 13498340 13734400 13778944 13926400 14018560 14592800 14640128 14894720 15155200 15880400 15931904 16102400 16154624 16872925 16927648 17223680 17523200 17580032 18300160 18421264 18618400 18678784 19005440 19572593 19914880 20193280 20326912 20611072 21159560 21529600 21597344 21975040 22429696 22875200 23026580 23348480 23756800 23831552 24248320 24893600 25241600 25408640 25763840 26449450 26996680 27468800 27557888 27852800 28037120 28783225 29185600 29280256 29789440 30310400 31760800 31863808 32204800 32309248 33745850 33855296 34447360 35046400 35160064 36600320 36842528 37236800 37357568 39145186 39829760 40386560 40653824 41222144 42319120 43059200 43194688 43950080 44859392 45750400 46053160 46696960 47513600 47663104 49787200 50483200 50817280 51527680 52898900 53993360 54937600 55115776 55705600 56074240 57566450 58371200 58560512 59578880 60620800 63521600 63727616 64409600 64618496 67491700 67710592 68894720 70092800 70320128 73200640 73685056 74473600 74715136 78290372 79659520 80773120 81307648 82444288 84638240 86118400 86389376 87900160 89718784 91500800 92106320 93393920 95027200 95326208 97862965 99574400 100966400 101634560 103055360 105797800 107986720 109875200 110231552 112148480 115132900 116742400 117121024 119157760 121241600 127043200 127455232 128819200 134983400 135421184 137789440 140185600 140640256 146401280 147370112 148947200 149430272 156580744 159319040 161546240 162615296 169276480 172236800 172778752 175800320 179437568 183001600 184212640 186787840 190652416 195725930 199148800 201932800 203269120 206110720 211595600 215973440 219750400 224296960 230265800 233484800 234242048 238315520 254086400 254910464 257638400 269966800 270842368 275578880 280371200 292802560 294740224 297894400 298860544 313161488 318638080 323092480 325230592 338552960 344473600 345557504 351600640 366003200 368425280 373575680 381304832 391451860 398297600 403865600 406538240 412221440 423191200 431946880 439500800 448593920 460531600 466969600 468484096 476631040 489314825 508172800 509820928 515276800 539933600 541684736 551157760 560742400 585605120 589480448 595788800 597721088 626322976 637276160 650461184 677105920 688947200 691115008 703201280 732006400 736850560 747151360 762609664 782903720 796595200 807731200 813076480 846382400 863893760 879001600 897187840 921063200 933939200 936968192 953262080 978629650 1016345600 1019641856 1030553600 1079867200 1083369472 1121484800 1171210240 1178960896 1191577600 1195442176 1252645952 1274552320 1300922368 1354211840 1377894400 1382230016 1464012800 1473701120 1494302720 1525219328 1565807440 1593190400 1615462400 1626152960 1692764800 1727787520 1758003200 1842126400 1867878400 1873936384 1906524160 1957259300 2032691200 2039283712 2061107200 2159734400 2166738944 2242969600 2342420480 2357921792 2383155200 2390884352 2505291904 2549104640 2601844736 2708423680 2755788800 2764460032 2928025600 2947402240 2988605440 3050438656 3131614880 3186380800 3252305920 3385529600 3455575040 3516006400 3684252800 3735756800 3813048320 3914518600 4065382400 4078567424 4319468800 4333477888 4485939200 4684840960 4715843584 4766310400 5010583808 5098209280 5203689472 5416847360 5528920064 5856051200 5894804480 5977210880 6263229760 6372761600 6504611840 6771059200 6911150080 7368505600 7471513600 7626096640 7829037200 8130764800 8638937600 8666955776 9369681920 9431687168 9532620800 10021167616 10196418560 10833694720 11057840128 11712102400 11789608960 11954421760 12526459520 12745523200 13009223680 13542118400 13822300160 14737011200 14943027200 15252193280 15658074400 16261529600 17277875200 17333911552 18863374336 19065241600 20042335232 20392837120 21667389440 22115680256 23424204800 23579217920 25052919040 25491046400 26018447360 27084236800 27644600320 29474022400 29886054400 31316148800 32523059200 34555750400 34667823104 37726748672 38130483200 40084670464 43334778880 44231360512 46848409600 47158435840 50105838080 50982092800 54168473600 55289200640 58948044800 59772108800 62632297600 65046118400 69111500800 69335646208 75453497344 76260966400 80169340928 86669557760 88462721024 94316871680 100211676160 101964185600 108336947200 110578401280 117896089600 125264595200 130092236800 138223001600 150906994688 160338681856 173339115520 188633743360 200423352320 216673894400 221156802560 235792179200 250529190400 276446003200 320677363712 346678231040 377267486720 400846704640 433347788800 442313605120 471584358400 501058380800 552892006400 641354727424 754534973440 801693409280 866695577600 943168716800 1002116761600 1105784012800 1282709454848 1603386818560 1733391155200 1886337433600 2004233523200 2211568025600 2565418909696 3206773637120 3772674867200 4008467046400 6413547274240 8016934092800 12827094548480 16033868185600 32067736371200 64135472742400
- Sum of all divisors σ(n): 179260546719618
- Sum of proper divisors (its aliquot sum) s(n): 115125073977218
- 64135472742400 is an abundant number, because the sum of its proper divisors (115125073977218) is greater than itself. Its abundance is 50989601234818
Bases of 64135472742400
- Binary: 11101001010100101101000001001000000000000000002
- Hexadecimal: 0x3A54B4120000
- Base-36: MQFFGJIF4
Squares and roots of 64135472742400
- 64135472742400 squared (641354727424002) is 4113358863891133376757760000
- 64135472742400 cubed (641354727424003) is 263812215294799216286090186167681024000000
-
The
square root of 64135472742400 is 8008462.5704563295 -
The
cube root of 64135472742400 is 40028.2035972537
Scales and comparisons
How big is 64135472742400?- 64,135,472,742,400 seconds is equal to 2,039,309 years, 33 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 64,135,472,742,400 would take you about five million, ninety-eight thousand, two hundred seventy-four 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 64135472742400 cubic inches would be around 3335.7 feet tall.
Recreational maths with 64135472742400
- 64135472742400 backwards is 00424727453146
- The number of decimal digits it has is: 14
- The sum of 64135472742400's digits is 49
- More coming soon!
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The information we have on file for 64135472742400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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