146125589888200832

Names of 146125589888200832

• Cardinal: 146125589888200832 can be written as One hundred forty-six quadrillion, one hundred twenty-five trillion, five hundred eighty-nine billion, eight hundred eighty-eight million, two hundred thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 1.46125589888200832 × 10¹⁷

Factors of 146125589888200832

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 22

Divisors of 146125589888200832

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 338 364 392 416 448 637 676 728 784 832 896 1183 1274 1352 1456 1568 1664 2197 2366 2548 2704 2912 3136 4394 4732 5096 5408 5824 6272 8281 8788 9464 10192 10816 11648 15379 16562 17576 18928 20384 21632 28561 30758 33124 35152 37856 40768 57122 61516 66248 70304 75712 81536 107653 114244 123032 132496 140608 151424 199927 215306 228488 246064 264992 281216 371293 399854 430612 456976 492128 529984 742586 799708 861224 913952 984256 1059968 1399489 1485172 1599416 1722448 1827904 1968512 2599051 2798978 2970344 3198832 3444896 3655808 4826809 5198102 5597956 5940688 6397664 6889792 9653618 10396204 11195912 11881376 12795328 13779584 18193357 19307236 20792408 22391824 23762752 25590656 33787663 36386714 38614472 41584816 44783648 47525504 62748517 67575326 72773428 77228944 83169632 89567296 125497034 135150652 145546856 154457888 166339264 179134592 236513641 250994068 270301304 291093712 308915776 332678528 439239619 473027282 501988136 540602608 582187424 617831552 815730721 878479238 946054564 1003976272 1081205216 1164374848 1631461442 1756958476 1892109128 2007952544 2162410432 2328749696 3074677333 3262922884 3513916952 3784218256 4015905088 4324820864 5710115047 6149354666 6525845768 7027833904 7568436512 8031810176 10604499373 11420230094 12298709332 13051691536 14055667808 15136873024 21208998746 22840460188 24597418664 26103383072 28111335616 30273746048 39970805329 42417997492 45680920376 49194837328 52206766144 56222671232 74231495611 79941610658 84835994984 91361840752 98389674656 104413532288 137858491849 148462991222 159883221316 169671989968 182723681504 196779349312 275716983698 296925982444 319766442632 339343979936 365447363008 393558698624 519620469277 551433967396 593851964888 639532885264 678687959872 730894726016 965009442943 1039240938554 1102867934792 1187703929776 1279065770528 1357375919744 1792160394037 1930018885886 2078481877108 2205735869584 2375407859552 2558131541056 3584320788074 3860037771772 4156963754216 4411471739168 4750815719104 5116263082112 6755066100601 7168641576148 7720075543544 8313927508432 8822943478336 9501631438208 12545122758259 13510132201202 14337283152296 15440151087088 16627855016864 17645886956672 23298085122481 25090245516518 27020264402404 28674566304592 30880302174176 33255710033728 46596170244962 50180491033036 54040528804808 57349132609184 61760604348352 66511420067456 87815859307813 93192340489924 100360982066072 108081057609616 114698265218368 123521208696704 163086595857367 175631718615626 186384680979848 200721964132144 216162115219232 229396530436736 326173191714734 351263437231252 372769361959696 401443928264288 432324230438464 652346383429468 702526874462504 745538723919392 802887856528576 864648460876928 1141606171001569 1304692766858936 1405053748925008 1491077447838784 1605775713057152 2283212342003138 2609385533717872 2810107497850016 2982154895677568 4566424684006276 5218771067435744 5620214995700032 9132849368012552 10437542134871488 11240429991400064 18265698736025104 20875084269742976 36531397472050208 73062794944100416 146125589888200832
• Sum of all divisors σ(n): 366857472859865235
• Sum of proper divisors (its aliquot sum) s(n): 220731882971664403
• 146125589888200832 is an abundant number, because the sum of its proper divisors (220731882971664403) is greater than itself. Its abundance is 74606293083463571

Bases of 146125589888200832

• Binary: 1000000111001001000111001100100101111000010111000010000000₂
• Hexadecimal: 0x207247325E17080
• Base-36: 13YT759KIB28

Squares and roots of 146125589888200832

• 146125589888200832 squared (146125589888200832²) is 21352688020174661241480813965492224
• 146125589888200832 cubed (146125589888200832³) is 3120174132646741521742422072908388783107348646330368
• The square root of 146125589888200832 is 382263770.0439329263
• The cube root of 146125589888200832 is 526714.6837499251

Scales and comparisons

• 146,125,589,888,200,832 seconds is equal to 4,646,341,762 years, 16 weeks, 3 days, 19 hours, 20 minutes, 32 seconds.
• To count from 1 to 146,125,589,888,200,832 would take you about thirteen billion, nine hundred thirty-nine million, twenty-five thousand, two hundred eighty-six 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 146125589888200832 cubic inches would be around 43892.9 feet tall.

Recreational maths with 146125589888200832

• 146125589888200832 backwards is 238002888985521641
• The number of decimal digits it has is: 18
• The sum of 146125589888200832's digits is 80
• More coming soon!