45364801466400

Names of 45364801466400

• Cardinal: 45364801466400 can be written as Forty-five trillion, three hundred sixty-four billion, eight hundred one million, four hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.53648014664 × 10¹³

Factors of 45364801466400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 786

Divisors of 45364801466400

• Number of divisors d(n): 864
• 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 96 100 104 120 130 131 150 156 160 193 195 200 208 240 260 262 300 312 325 386 390 393 400 416 439 480 520 524 579 600 624 650 655 772 780 786 800 878 965 975 1040 1048 1158 1200 1248 1300 1310 1317 1544 1560 1572 1703 1756 1930 1950 1965 2080 2096 2195 2316 2400 2509 2600 2620 2634 2895 3088 3120 3144 3275 3406 3512 3860 3900 3930 4192 4390 4632 4825 5018 5109 5200 5240 5268 5707 5790 6176 6240 6288 6550 6585 6812 7024 7527 7720 7800 7860 8515 8780 9264 9650 9825 10036 10218 10400 10480 10536 10975 11414 11580 12545 12576 13100 13170 13624 14048 14475 15054 15440 15600 15720 17030 17121 17161 17560 18528 19300 19650 20072 20436 20960 21072 21950 22828 23160 25090 25283 25545 26200 26340 27248 28535 28950 30108 30880 31200 31440 32925 34060 34242 34322 35120 37635 38600 39300 40144 40872 42144 42575 43900 45656 46320 50180 50566 51090 51483 52400 52680 54496 57070 57509 57900 60216 62725 62880 65850 68120 68484 68644 70240 75270 75849 77200 78600 80288 81744 84727 85150 85605 85805 87800 91312 92640 100360 101132 102180 102966 104800 105360 114140 115018 115800 120432 125450 126415 127725 131700 136240 136968 137288 142675 150540 151698 154400 157200 163488 169454 170300 171210 171610 172527 175600 182624 188175 200720 202264 204360 205932 210720 223093 228280 230036 231600 240864 250900 252830 254181 255450 257415 263400 272480 273936 274576 285350 287545 301080 303396 314400 328679 338908 340600 342420 343220 345054 351200 376350 379245 401440 404528 408720 411864 423635 428025 429025 446186 456560 460072 463200 501800 505660 508362 510900 514830 526800 547872 549152 570700 575090 602160 606792 632075 657358 669279 677816 681200 684840 686440 690108 747617 752700 758490 809056 817440 823728 847270 856050 858050 862635 892372 913120 920144 986037 1003600 1011320 1016724 1021800 1029660 1053600 1101451 1115465 1141400 1150180 1204320 1213584 1264150 1270905 1287075 1314716 1338558 1355632 1362400 1369680 1372880 1380216 1437725 1495234 1505400 1516980 1643395 1647456 1694540 1712100 1716100 1725270 1784744 1840288 1896225 1972074 2007200 2022640 2033448 2043600 2059320 2118175 2202902 2230930 2242851 2282800 2300360 2427168 2528300 2541810 2574150 2629432 2677116 2711264 2739360 2745760 2760432 2875450 2990468 3010800 3033960 3286790 3304353 3312073 3346395 3389080 3424200 3432200 3450540 3569488 3738085 3792450 3944148 4045280 4066896 4087200 4118640 4236350 4313175 4405804 4461860 4485702 4565600 4600720 4930185 5056600 5083620 5148300 5258864 5354232 5507255 5520864 5577325 5750900 5980936 6021600 6067920 6354525 6573580 6608706 6624146 6692790 6778160 6848400 6864400 6901080 7138976 7476170 7533679 7584900 7888296 8133792 8216975 8237280 8472700 8626350 8811608 8923720 8971404 9201440 9860370 9936219 10113200 10167240 10296600 10517728 10708464 11014510 11099237 11154650 11214255 11501800 11961872 12135840 12709050 13147160 13217412 13248292 13385580 13556320 13696800 13728800 13802160 14952340 15067358 15169800 15776592 16433950 16521765 16560365 16731975 16945400 17252700 17623216 17847440 17942808 18690425 19720740 19872438 20226400 20334480 20593200 21416928 22029020 22198474 22309300 22428510 22601037 23003600 23923744 24650925 25418100 26294320 26434824 26496584 26771160 27536275 27604320 29904680 30134716 30339600 31553184 32867900 33043530 33120730 33297711 33463950 33890800 34505400 35246432 35694880 35885616 37380850 37668395 39441480 39744876 40668960 41186400 43056949 44058040 44396948 44618600 44857020 45202074 46007200 49301850 49681095 50836200 52588640 52869648 52993168 53542320 55072550 55496185 56071275 59809360 60269432 60679200 65735800 66087060 66241460 66595422 66927900 67781600 69010800 71771232 74761700 75336790 78882960 79489752 82608825 82801825 86113898 88116080 88793896 89237200 89714040 90404148 97937827 98603700 99362190 101672400 105739296 105986336 107084640 110145100 110992370 112142550 113005185 119618720 120538864 129170847 131471600 132174120 132482920 133190844 133855800 138021600 144290081 149523400 150673580 157765920 158979504 165217650 165603650 166488555 172227796 176232160 177587792 178474400 179428080 180808296 188341975 195875654 197207400 198724380 203344800 215284745 220290200 221984740 224285100 226010370 241077728 248405475 258341694 262943200 264348240 264965840 266381688 267711600 277480925 288580162 293813481 299046800 301347160 317959008 330435300 331207300 332977110 344455592 355175584 358856160 361616592 376683950 391751308 394414800 397448760 430569490 432870243 440580400 443969480 448570200 452020740 489689135 496810950 516683388 528696480 529931680 532763376 535423200 554961850 565025925 577160324 587626962 598093600 602694320 645854235 660870600 662414600 665954220 688911184 721450405 723233184 753367900 783502616 788829600 794897520 832442775 861138980 865740486 881160800 887938960 897140400 904041480 979378270 993621900 1033366776 1065526752 1076423725 1109923700 1130051850 1154320648 1175253924 1205388640 1291708470 1321741200 1324829200 1331908440 1377822368 1442900810 1454000047 1469067405 1506735800 1567005232 1589795040 1664885550 1722277960 1731480972 1775877920 1794280800 1808082960 1958756540 1987243800 2066733552 2152847450 2164351215 2219847400 2260103700 2308641296 2350507848 2448445675 2583416940 2643482400 2649658400 2663816880 2885801620 2908000094 2938134810 3013471600 3134010464 3229271175 3329771100 3444555920 3462961944 3607252025 3616165920 3917513080 3974487600 4133467104 4305694900 4328702430 4362000141 4439694800 4520207400 4617282592 4701015696 4896891350 5166833880 5327633760 5771603240 5816000188 5876269620 6026943200 6458542350 6659542200 6889111840 6925923888 7214504050 7270000235 7345337025 7835026160 7948975200 8611389800 8657404860 8724000282 8879389600 9040414800 9402031392 9793782700 10333667760 10821756075 11543206480 11632000376 11752539240 12917084700 13319084400 13851847776 14429008100 14540000470 14690674050 15670052320 17222779600 17314809720 17448000564 18080829600 18902000611 19587565400 20667335520 21643512150 21810000705 23086412960 23264000752 23505078480 25834169400 26638168800 28858016200 29080000940 29381348100 34445559200 34629619440 34896001128 36350001175 37804001222 39175130800 43287024300 43620001410 46528001504 47010156960 51668338800 56706001833 57716032400 58160001880 58762696200 69259238880 69792002256 72700002350 75608002444 78350261600 86574048600 87240002820 94510003055 103336677600 109050003525 113412003666 115432064800 116320003760 117525392400 139584004512 145400004700 151216004888 173148097200 174480005640 189020006110 218100007050 226824007332 232640007520 235050784800 283530009165 290800009400 302432009776 346296194400 348960011280 378040012220 436200014100 453648014664 472550015275 567060018330 581600018800 604864019552 697920022560 756080024440 872400028200 907296029328 945100030550 1134120036660 1163200037600 1417650045825 1512160048880 1744800056400 1814592058656 1890200061100 2268240073320 2835300091650 3024320097760 3489600112800 3780400122200 4536480146640 5670600183300 7560800244400 9072960293280 11341200366600 15121600488800 22682400733200 45364801466400
• Sum of all divisors σ(n): 161441438336640
• Sum of proper divisors (its aliquot sum) s(n): 116076636870240
• 45364801466400 is an abundant number, because the sum of its proper divisors (116076636870240) is greater than itself. Its abundance is 70711835403840

Bases of 45364801466400

• Binary: 1010010100001001010000111000000111000000100000₂
• Hexadecimal: 0x294250E07020
• Base-36: G2WAVIB6O

Squares and roots of 45364801466400

• 45364801466400 squared (45364801466400²) is 2057965212085887590328960000
• 45364801466400 cubed (45364801466400³) is 93359183271034060360500767066386944000000
• The square root of 45364801466400 is 6735339.7439475909
• The cube root of 45364801466400 is 35664.7900293921

Scales and comparisons

• 45,364,801,466,400 seconds is equal to 1,442,460 years, 18 weeks, 6 days, 12 hours, 40 minutes.
• To count from 1 to 45,364,801,466,400 would take you about three million, six hundred six thousand, one hundred fifty 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 45364801466400 cubic inches would be around 2972.1 feet tall.

Recreational maths with 45364801466400

• 45364801466400 backwards is 00466410846354
• The number of decimal digits it has is: 14
• The sum of 45364801466400's digits is 51
• More coming soon!