46468055128473600

Names of 46468055128473600

• Cardinal: 46468055128473600 can be written as Forty-six quadrillion, four hundred sixty-eight trillion, fifty-five billion, one hundred twenty-eight million, four hundred seventy-three thousand, six hundred.

Scientific notation

• Scientific notation: 4.64680551284736 × 10¹⁶

Factors of 46468055128473600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 556

Divisors of 46468055128473600

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 197 200 240 256 300 320 349 384 394 400 480 512 591 600 640 698 768 788 800 960 985 1024 1047 1182 1200 1280 1396 1536 1576 1600 1745 1920 1970 2048 2094 2364 2400 2560 2792 2955 3072 3152 3200 3490 3840 3940 4096 4188 4728 4800 4925 5120 5235 5584 5910 6144 6304 6400 6980 7680 7880 8192 8376 8725 9456 9600 9850 10240 10470 11168 11820 12288 12608 12800 13960 14775 15360 15760 16384 16752 17450 18912 19200 19700 20480 20940 22336 23640 24576 25216 25600 26175 27920 29550 30720 31520 32768 33504 34900 37824 38400 38809 39400 40960 41880 44672 47280 49152 50432 51200 52350 55840 59100 61440 63040 65536 67008 68753 69800 75648 76800 77618 78800 81920 83760 89344 94560 98304 100864 102400 104700 111680 116427 118200 121801 122880 126080 131072 134016 137506 139600 151296 153600 155236 157600 163840 167520 178688 189120 194045 196608 201728 204800 206259 209400 223360 232854 236400 243602 245760 252160 268032 275012 279200 302592 307200 310472 315200 327680 335040 343765 357376 365403 378240 388090 393216 403456 409600 412518 418800 446720 465708 472800 487204 491520 504320 536064 550024 558400 582135 605184 609005 614400 620944 630400 655360 670080 687530 714752 730806 756480 776180 806912 819200 825036 837600 893440 931416 945600 970225 974408 983040 1008640 1031295 1072128 1100048 1116800 1164270 1210368 1218010 1228800 1241888 1260800 1340160 1375060 1429504 1461612 1512960 1552360 1613824 1638400 1650072 1675200 1718825 1786880 1827015 1862832 1891200 1940450 1948816 1966080 2017280 2062590 2144256 2200096 2233600 2328540 2420736 2436020 2457600 2483776 2521600 2680320 2750120 2859008 2910675 2923224 3025920 3045025 3104720 3227648 3276800 3300144 3350400 3437650 3573760 3654030 3725664 3782400 3880900 3897632 4034560 4125180 4288512 4400192 4467200 4657080 4841472 4872040 4915200 4967552 5043200 5156475 5360640 5500240 5718016 5821350 5846448 6051840 6090050 6209440 6455296 6600288 6700800 6875300 7147520 7308060 7451328 7564800 7761800 7795264 8069120 8250360 8577024 8800384 8934400 9135075 9314160 9682944 9744080 9830400 9935104 10086400 10312950 10721280 11000480 11436032 11642700 11692896 12103680 12180100 12418880 12910592 13200576 13401600 13544341 13750600 14295040 14616120 14902656 15129600 15523600 15590528 16138240 16500720 17154048 17600768 17868800 18270150 18628320 19365888 19488160 19870208 20172800 20625900 21442560 22000960 22872064 23285400 23385792 23994797 24207360 24360200 24837760 25821184 26401152 26803200 27088682 27501200 28590080 29232240 29805312 30259200 31047200 31181056 32276480 33001440 34308096 35201536 35737600 36540300 37256640 38731776 38976320 39740416 40345600 40633023 41251800 42885120 44001920 45744128 46570800 46771584 47989594 48414720 48720400 49675520 52802304 53606400 54177364 55002400 57180160 58464480 59610624 60518400 62094400 62362112 64552960 66002880 67721705 68616192 70403072 71475200 71984391 73080600 74513280 77463552 77952640 79480832 80691200 81266046 82503600 85770240 88003840 93141600 93543168 95979188 96829440 97440800 99351040 105604608 107212800 108354728 110004800 114360320 116928960 119221248 119973985 121036800 124188800 124724224 129105920 132005760 135443410 137232384 140806144 142950400 143968782 146161200 149026560 155905280 158961664 161382400 162532092 165007200 171540480 176007680 186283200 187086336 191958376 193658880 194881600 198702080 203165115 211209216 214425600 216709456 220009600 228720640 233857920 238442496 239947970 242073600 248377600 249448448 264011520 270886820 281612288 285900800 287937564 292322400 298053120 311810560 317923328 322764800 325064184 330014400 338608525 343080960 352015360 359921955 372566400 374172672 383916752 387317760 389763200 397404160 406330230 422418432 428851200 433418912 440019200 467715840 476884992 479895940 484147200 496755200 498896896 528023040 541773640 563224576 571801600 575875128 584644800 596106240 599869925 623621120 635846656 645529600 650128368 660028800 677217050 686161920 704030720 719843910 745132800 748345344 767833504 779526400 794808320 812660460 844836864 857702400 866837824 880038400 935431680 953769984 959791880 968294400 993510400 997793792 1015825575 1056046080 1083547280 1126449152 1143603200 1151750256 1169289600 1192212480 1199739850 1247242240 1271693312 1300256736 1320057600 1354434100 1408061440 1439687820 1490265600 1496690688 1535667008 1559052800 1589616640 1625320920 1689673728 1715404800 1733675648 1760076800 1799609775 1870863360 1907539968 1919583760 1936588800 1987020800 1995587584 2031651150 2112092160 2167094560 2252898304 2303500512 2338579200 2384424960 2399479700 2494484480 2543386624 2600513472 2640115200 2708868200 2816122880 2879375640 2980531200 2993381376 3071334016 3118105600 3179233280 3250641840 3379347456 3430809600 3467351296 3520153600 3599219550 3741726720 3815079936 3839167520 3974041600 3991175168 4063302300 4224184320 4334189120 4505796608 4607001024 4677158400 4726975009 4768849920 4798959400 4988968960 5086773248 5201026944 5280230400 5417736400 5632245760 5758751280 5961062400 5986762752 6142668032 6236211200 6358466560 6501283680 6758694912 6934702592 7040307200 7198439100 7483453440 7630159872 7678335040 7948083200 7982350336 8126604600 8448368640 8668378240 9011593216 9214002048 9354316800 9453950018 9537699840 9597918800 9977937920 10402053888 10560460800 10835472800 11264491520 11517502560 11922124800 11973525504 12285336064 12472422400 12716933120 13002567360 13517389824 13869405184 14080614400 14180925027 14396878200 14966906880 15260319744 15356670080 15896166400 15964700672 16253209200 16896737280 17336756480 18428004096 18708633600 18907900036 19075399680 19195837600 19955875840 20804107776 21120921600 21670945600 22528983040 23035005120 23634875045 23844249600 23947051008 24570672128 24944844800 25433866240 26005134720 27034779648 27738810368 28161228800 28361850054 28793756400 29933813760 30713340160 31792332800 32506418400 33793474560 34673512960 36856008192 37417267200 37815800072 38150799360 38391675200 39911751680 41608215552 42241843200 43341891200 45057966080 46070010240 47269750090 47688499200 47894102016 49141344256 49889689600 52010269440 55477620736 56322457600 56723700108 57587512800 59867627520 61426680320 63584665600 65012836800 67586949120 69347025920 70904625135 73712016384 74834534400 75631600144 76301598720 76783350400 79823503360 83216431104 84483686400 86683782400 92140020480 94539500180 95376998400 98282688512 99779379200 104020538880 110955241472 112644915200 113447400216 115175025600 118174375225 119735255040 122853360640 127169331200 130025673600 135173898240 138694051840 141809250270 147424032768 149669068800 151263200288 153566700800 166432862208 168967372800 173367564800 184280040960 189079000360 190753996800 196565377024 199558758400 208041077760 221910482944 225289830400 226894800432 230350051200 236348750450 239470510080 245706721280 260051347200 277388103680 283618500540 294848065536 299338137600 302526400576 307133401600 332865724416 337934745600 346735129600 354523125675 368560081920 378158000720 381507993600 393130754048 399117516800 416082155520 443820965888 453789600864 460700102400 472697500900 491413442560 520102694400 554776207360 567237001080 589696131072 598676275200 605052801152 614266803200 665731448832 675869491200 693470259200 709046251350 737120163840 756316001440 786261508096 832164311040 887641931776 907579201728 921400204800 945395001800 982826885120 1040205388800 1109552414720 1134474002160 1179392262144 1197352550400 1210105602304 1228533606400 1331462897664 1386940518400 1418092502700 1474240327680 1512632002880 1572523016192 1664328622080 1775283863552 1815158403456 1842800409600 1890790003600 1965653770240 2080410777600 2219104829440 2268948004320 2358784524288 2420211204608 2457067212800 2662925795328 2773881036800 2836185005400 2948480655360 3025264005760 3145046032384 3328657244160 3630316806912 3685600819200 3781580007200 3931307540480 4160821555200 4438209658880 4537896008640 4717569048576 4840422409216 4914134425600 5325851590656 5547762073600 5672370010800 5896961310720 6050528011520 6657314488320 7260633613824 7371201638400 7563160014400 7862615080960 8321643110400 8876419317760 9075792017280 9435138097152 9680844818432 9828268851200 11095524147200 11344740021600 11793922621440 12101056023040 13314628976640 14521267227648 14742403276800 15126320028800 15725230161920 16643286220800 18151584034560 19361689636864 19656537702400 22191048294400 22689480043200 23587845242880 24202112046080 26629257953280 29042534455296 29484806553600 30252640057600 33286572441600 36303168069120 38723379273728 39313075404800 44382096588800 45378960086400 47175690485760 48404224092160 58085068910592 58969613107200 60505280115200 66573144883200 72606336138240 77446758547456 78626150809600 90757920172800 96808448184320 116170137821184 117939226214400 121010560230400 133146289766400 145212672276480 154893517094912 181515840345600 193616896368640 232340275642368 235878452428800 242021120460800 290425344552960 309787034189824 363031680691200 387233792737280 464680551284736 484042240921600 580850689105920 619574068379648 726063361382400 774467585474560 929361102569472 968084481843200 1161701378211840 1452126722764800 1548935170949120 1858722205138944 1936168963686400 2323402756423680 2904253445529600 3097870341898240 3872337927372800 4646805512847360 5808506891059200 7744675854745600 9293611025694720 11617013782118400 15489351709491200 23234027564236800 46468055128473600
• Sum of all divisors σ(n): 154881493365434724
• Sum of proper divisors (its aliquot sum) s(n): 108413438236961124
• 46468055128473600 is an abundant number, because the sum of its proper divisors (108413438236961124) is greater than itself. Its abundance is 61945383108487524

Bases of 46468055128473600

• Binary: 10100101000101100111001100101111010101100000000000000000₂
• Hexadecimal: 0xA516732F560000
• Base-36: CPJJTTPV3EO

Squares and roots of 46468055128473600

• 46468055128473600 squared (46468055128473600²) is 2159280147422861638201465896960000
• 46468055128473600 cubed (46468055128473600³) is 100337548928264136809281575342201461859680256000000
• The square root of 46468055128473600 is 215564503.4055319601
• The cube root of 46468055128473600 is 359515.9521486083

Scales and comparisons

• 46,468,055,128,473,600 seconds is equal to 1,477,540,417 years, 49 weeks, 4 days, 2 hours, 40 minutes.
• To count from 1 to 46,468,055,128,473,600 would take you about four billion, four hundred thirty-two million, six hundred twenty-one thousand, two hundred fifty-three 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 46468055128473600 cubic inches would be around 29959.7 feet tall.

Recreational maths with 46468055128473600

• 46468055128473600 backwards is 00637482155086464
• The number of decimal digits it has is: 17
• The sum of 46468055128473600's digits is 69
• More coming soon!