40220938245167680

Names of 40220938245167680

• Cardinal: 40220938245167680 can be written as Forty quadrillion, two hundred twenty trillion, nine hundred thirty-eight billion, two hundred forty-five million, one hundred sixty-seven thousand, six hundred eighty.

Scientific notation

• Scientific notation: 4.022093824516768 × 10¹⁶

Factors of 40220938245167680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 916532052

Divisors of 40220938245167680

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 52 55 56 64 65 70 77 80 88 91 104 110 112 130 137 140 143 154 160 176 182 208 220 224 260 274 280 286 308 320 352 364 385 416 440 448 455 520 548 560 572 616 685 704 715 728 770 832 880 910 959 1001 1040 1096 1120 1144 1232 1370 1430 1456 1507 1540 1760 1781 1820 1918 2002 2080 2192 2240 2288 2464 2740 2860 2912 3014 3080 3520 3562 3640 3836 4004 4160 4384 4576 4795 4928 5005 5480 5720 5824 6028 6160 7124 7280 7535 7672 8008 8768 8905 9152 9590 10010 10549 10960 11440 12056 12320 12467 14248 14560 15070 15344 16016 17810 19180 19591 20020 21098 21920 22880 24112 24640 24934 28496 29120 30140 30688 32032 35620 38360 39182 40040 42196 43840 45760 48224 49868 52745 56992 60280 61376 62335 64064 71240 76720 78364 80080 84392 96448 97955 99736 105490 113984 120560 124670 137137 142480 153440 156728 160160 168784 195910 199472 210980 241120 249340 274274 284960 306880 313456 320320 337568 391820 398944 421960 482240 498680 548548 569920 626912 675136 685685 783640 797888 843920 997360 1097096 1253824 1371370 1567280 1687840 1994720 2194192 2742740 3134560 3375680 3989440 4388384 5485480 6269120 8776768 10970960 21941920 43883840 916531877 1833063754 3666127508 4582659385 6415723139 7332255016 9165318770 10081850647 11914914401 12831446278 14664510032 18330637540 20163701294 23829828802 25662892556 29329020064 32078615695 36661275080 40327402588 47659657604 50409253235 51325785112 58658040128 59574572005 64157231390 70572954529 73322550160 80654805176 83404400807 95319315208 100818506470 102651570224 119149144010 125564867149 128314462780 131064058411 141145909058 146645100320 161309610352 166808801614 190638630416 201637012940 205303140448 238298288020 251129734298 256628925560 262128116822 282291818116 293290200640 322619220704 333617603228 352864772645 381277260832 403274025880 410606280896 417022004035 476596576040 502259468596 513257851120 524256233644 564583636232 627824335745 645238441408 655320292055 667235206456 705729545290 762554521664 806548051760 834044008070 878954070043 917448408877 953193152080 1004518937192 1026515702240 1048512467288 1129167272464 1255648671490 1310640584110 1334470412912 1381213538639 1411459090580 1613096103520 1632343272937 1668088016140 1757908140086 1834896817754 1906386304160 2009037874384 2053031404480 2097024934576 2258334544928 2511297342980 2621281168220 2668940825824 2762427077278 2822918181160 3226192207040 3264686545874 3336176032280 3515816280172 3669793635508 3812772608320 4018075748768 4194049869152 4394770350215 4516669089856 4587242044385 5022594685960 5242562336440 5337881651648 5524854154556 5645836362320 6529373091748 6672352064560 6906067693195 7031632560344 7339587271016 8036151497536 8161716364685 8388099738304 8789540700430 9174484088770 9668494770473 10045189371920 10485124672880 11049708309112 11291672724640 11426402910559 13058746183496 13344704129120 13812135386390 14063265120688 14679174542032 16323432729370 17579081400860 17955776002307 18348968177540 19336989540946 20090378743840 20970249345760 22099416618224 22583345449280 22852805821118 26117492366992 26689408258240 27624270772780 28126530241376 29358349084064 32646865458740 35158162801720 35911552004614 36697936355080 38673979081892 40180757487680 41940498691520 44198833236448 45705611642236 48342473852365 52234984733984 55248541545560 56253060482752 57132014552795 58716698168128 65293730917480 70316325603440 71823104009228 73395872710160 77347958163784 88397666472896 89778880011535 91411223284472 96684947704730 104469969467968 110497083091120 114264029105590 125690432016149 130587461834960 140632651206880 143646208018456 146791745420320 154695916327568 179557760023070 182822446568944 193369895409460 220994166182240 228528058211180 251380864032298 261174923669920 281265302413760 287292416036912 293583490840640 309391832655136 359115520046140 365644893137888 386739790818920 441988332364480 457056116422360 502761728064596 522349847339840 574584832073824 618783665310272 628452160080745 718231040092280 731289786275776 773479581637840 914112232844720 1005523456129192 1149169664147648 1256904320161490 1436462080184560 1546959163275680 1828224465689440 2011046912258384 2513808640322980 2872924160369120 3093918326551360 3656448931378880 4022093824516768 5027617280645960 5745848320738240 8044187649033536 10055234561291920 20110469122583840 40220938245167680
• Sum of all divisors σ(n): 129533142363028992
• Sum of proper divisors (its aliquot sum) s(n): 89312204117861312
• 40220938245167680 is an abundant number, because the sum of its proper divisors (89312204117861312) is greater than itself. Its abundance is 49091265872693632

Bases of 40220938245167680

• Binary: 10001110111001001011101011110000101000101101101001000000₂
• Hexadecimal: 0x8EE4BAF0A2DA40
• Base-36: B014RY5BKN4

Squares and roots of 40220938245167680

• 40220938245167680 squared (40220938245167680²) is 1617723873321592173874871316582400
• 40220938245167680 cubed (40220938245167680³) is 65066372006601221789575066157297893276252536832000
• The square root of 40220938245167680 is 200551584.9978944445
• The cube root of 40220938245167680 is 342623.6987120347

Scales and comparisons

• 40,220,938,245,167,680 seconds is equal to 1,278,901,424 years, 34 weeks, 4 days, 7 hours, 54 minutes, 40 seconds.
• To count from 1 to 40,220,938,245,167,680 would take you about three billion, eight hundred thirty-six million, seven hundred four thousand, two hundred seventy-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 40220938245167680 cubic inches would be around 28552 feet tall.

Recreational maths with 40220938245167680

• 40220938245167680 backwards is 08676154283902204
• The number of decimal digits it has is: 17
• The sum of 40220938245167680's digits is 67
• More coming soon!