45388794840490800

Names of 45388794840490800

• Cardinal: 45388794840490800 can be written as Forty-five quadrillion, three hundred eighty-eight trillion, seven hundred ninety-four billion, eight hundred forty million, four hundred ninety thousand, eight hundred.

Scientific notation

• Scientific notation: 4.53887948404908 × 10¹⁶

Factors of 45388794840490800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 191968

Divisors of 45388794840490800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 36 38 40 45 48 50 57 60 72 75 76 80 90 95 100 114 120 137 144 150 152 171 180 190 200 225 228 240 274 285 300 304 342 360 380 400 411 450 456 475 548 570 600 684 685 720 760 822 855 900 912 950 1096 1140 1200 1233 1368 1370 1425 1520 1644 1710 1800 1900 2055 2192 2280 2466 2603 2736 2740 2850 3288 3420 3425 3600 3800 4110 4275 4560 4932 5206 5480 5700 6165 6576 6840 6850 7600 7809 8220 8550 9864 10275 10412 10960 11400 12330 13015 13680 13700 15618 16440 17100 19728 20550 20824 22800 23427 24660 26030 27400 29921 30825 31236 32880 34200 39045 41100 41648 46854 49320 52060 54800 59842 61650 62472 65075 68400 78090 82200 89763 93708 98640 104120 117135 119684 123300 124944 130150 149605 156180 161881 164400 179526 187416 195225 208240 234270 239368 246600 260300 269289 299210 312360 323762 359052 374832 390450 448815 468540 478736 485643 493200 520600 538578 568499 585675 598420 624720 647524 718104 748025 780900 809405 897630 937080 971286 1041200 1077156 1136998 1171350 1196840 1295048 1346445 1436208 1456929 1496050 1561800 1618810 1705497 1795260 1874160 1942572 2154312 2244075 2273996 2342700 2393680 2428215 2590096 2692890 2842495 2913858 2992100 3075739 3123600 3237620 3410994 3590520 3885144 4047025 4099177 4308624 4488150 4547992 4685400 4856430 5116491 5385780 5684990 5827716 5984200 6151478 6475240 6732225 6821988 7181040 7284645 7770288 8094050 8198354 8527485 8976300 9095984 9227217 9370800 9712860 10232982 10771560 11369980 11655432 11968400 12141075 12297531 12302956 12950480 13464450 13643976 14212475 14569290 15378695 16188100 16396708 17054970 17952600 18454434 19425720 20465964 20495885 21543120 22177697 22739960 23310864 24282150 24595062 24605912 25582455 26928900 27287952 27681651 28424950 29138580 30757390 32376200 32793416 34109940 35905200 36423225 36892593 36908868 38851440 40931928 40991770 42637425 44355394 45479920 46136085 48564300 49190124 49211824 51164910 53857800 55363302 56849900 58277160 61487655 61514780 64752400 65586832 66533091 68219880 72846450 73785186 73817736 76893475 77884363 81863856 81983540 85274850 88710788 92272170 97128600 98380248 102329820 102479425 107715600 110726604 110888485 113699800 116554320 122975310 123029560 127912275 133066182 136439760 138408255 145692900 147570372 147635472 153786950 155768726 163967080 170549700 177421576 184462965 184544340 194257200 196760496 199599273 204659640 204958850 221453208 221776970 227399600 230680425 233653089 245950620 246059120 255824550 266132364 276816510 291385800 295140744 307438275 307573900 311537452 327934160 332665455 341099400 354843152 368925930 369088680 389421815 399198546 409319280 409917700 421376243 442906416 443553940 461360850 467306178 491901240 511649100 532264728 553633020 554442425 582771600 590281488 614876550 615147800 623074904 665330910 682198800 692041275 700959267 737851860 738177360 778843630 798397092 819835400 842752486 887107880 922314825 922721700 934612356 983802480 997996365 1023298200 1064529456 1107266040 1108884850 1168265445 1229753100 1230295600 1246149808 1264128729 1330661820 1384082550 1401918534 1475703720 1557687260 1596794184 1639670800 1663327275 1685504972 1774215760 1844629650 1845443400 1869224712 1947109075 1995992730 2046596400 2106881215 2214532080 2217769700 2336530890 2459506200 2528257458 2661323640 2768165100 2803837068 2951407440 3115374520 3193588368 3326654550 3371009944 3504796335 3689259300 3690886800 3738449424 3792386187 3894218150 3991985460 4213762430 4435539400 4673061780 4843641401 4919012400 4989981825 5056514916 5322647280 5536330200 5607674136 5841327225 6230749040 6320643645 6653309100 6742019888 7009592670 7378518600 7584772374 7788436300 7983970920 8427524860 8871078800 9346123560 9687282802 9979963650 10113029832 10534406075 11072660400 11215348272 11682654450 12641287290 13306618200 14019185340 14530924203 14757037200 15169544748 15576872600 15967941840 16855049720 17523981675 18692247120 18961930935 19374565604 19959927300 20226059664 21068812150 23365308900 24218207005 25282574580 26613236400 28038370680 29061848406 30339089496 31153745200 31603218225 33710099440 35047963350 37923861870 38749131208 39919854600 42137624300 43592772609 46730617800 48436414010 50565149160 56076741360 58123696812 60678178992 63206436450 70095926700 72654621015 75847723740 77498262416 79839709200 84275248600 87185545218 92029186619 93461235600 94809654675 96872828020 101130298320 116247393624 121091035025 126412872900 140191853400 145309242030 151695447480 168550497200 174371090436 184058373238 189619309350 193745656040 217963863045 232494787248 242182070050 252825745800 276087559857 280383706800 290618484060 303390894960 348742180872 363273105075 368116746476 379238618700 387491312080 435927726090 460145933095 484364140100 505651491600 552175119714 581236968120 663578871937 697484361744 726546210150 736233492952 758477237400 828262679571 871855452180 920291866190 968728280200 1089819315225 1104350239428 1162473936240 1327157743874 1380437799285 1453092420300 1472466985904 1516954474800 1656525359142 1743710904360 1840583732380 1937456560400 1990736615811 2179638630450 2208700478856 2300729665475 2654315487748 2760875598570 2906184840600 3313050718284 3317894359685 3487421808720 3681167464760 3981473231622 4141313397855 4359277260900 4417400957712 4601459330950 5308630975496 5521751197140 5812369681200 5972209847433 6626101436568 6635788719370 6902188996425 7362334929520 7962946463244 8282626795710 8718554521800 9202918661900 9953683079055 10617261950992 11043502394280 11944419694866 12607998566803 13252202873136 13271577438740 13804377992850 15925892926488 16565253591420 16589471798425 17437109043600 18405837323800 19907366158110 20706566989275 22087004788560 23888839389732 25215997133606 26543154877480 27608755985700 29861049237165 31851785852976 33130507182840 33178943596850 36811674647600 37823995700409 39814732316220 41413133978550 47777678779464 49768415395275 50431994267212 53086309754960 55217511971400 59722098474330 63039992834015 66261014365680 66357887193700 75647991400818 79629464632440 82826267957100 95555357558928 99536830790550 100863988534424 110435023942800 113471987101227 119444196948660 126079985668030 132715774387400 149305246185825 151295982801636 159258929264880 165652535914200 189119978502045 199073661581100 201727977068848 226943974202454 238888393897320 252159971336060 265431548774800 298610492371650 302591965603272 315199964170075 331305071828400 378239957004090 398147323162200 453887948404908 477776787794640 504319942672120 567359935506135 597220984743300 605183931206544 630399928340150 756479914008180 796294646324400 907775896809816 945599892510225 1008639885344240 1134719871012270 1194441969486600 1260799856680300 1512959828016360 1815551793619632 1891199785020450 2269439742024540 2388883938973200 2521599713360600 2836799677530675 3025919656032720 3782399570040900 4538879484049080 5043199426721200 5673599355061350 7564799140081800 9077758968098160 11347198710122700 15129598280163600 22694397420245400 45388794840490800
• Sum of all divisors σ(n): 167018662680498720
• Sum of proper divisors (its aliquot sum) s(n): 121629867840007920
• 45388794840490800 is an abundant number, because the sum of its proper divisors (121629867840007920) is greater than itself. Its abundance is 76241072999517120

Bases of 45388794840490800

• Binary: 10100001010000001101111001010001010000000010001100110000₂
• Hexadecimal: 0xA140DE51402330
• Base-36: CEWZGHS2NG0

Squares and roots of 45388794840490800

• 45388794840490800 squared (45388794840490800²) is 2060142697072164266615184884640000
• 45388794840490800 cubed (45388794840490800³) is 93507394219543850607898706179648759998981312000000
• The square root of 45388794840490800 is 213046461.6943703199
• The cube root of 45388794840490800 is 356710.7660549619

Scales and comparisons

• 45,388,794,840,490,800 seconds is equal to 1,443,223,279 years, 8 weeks, 4 days, 19 hours.
• To count from 1 to 45,388,794,840,490,800 would take you about four billion, three hundred twenty-nine million, six hundred sixty-nine thousand, eight hundred thirty-seven 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 45388794840490800 cubic inches would be around 29725.9 feet tall.

Recreational maths with 45388794840490800

• 45388794840490800 backwards is 00809404849788354
• The number of decimal digits it has is: 17
• The sum of 45388794840490800's digits is 81
• More coming soon!