146693432166400

Names of 146693432166400

• Cardinal: 146693432166400 can be written as One hundred forty-six trillion, six hundred ninety-three billion, four hundred thirty-two million, one hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 1.466934321664 × 10¹⁴

Factors of 146693432166400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 85

Divisors of 146693432166400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 71 80 98 100 112 128 140 142 160 175 196 200 224 245 256 280 284 320 343 350 355 392 400 448 490 497 512 560 568 640 686 700 710 784 800 896 980 994 1024 1120 1136 1225 1280 1372 1400 1420 1568 1600 1715 1775 1792 1960 1988 2048 2240 2272 2401 2450 2485 2560 2744 2800 2840 3136 3200 3430 3479 3550 3584 3920 3976 4480 4544 4802 4900 4970 5120 5488 5600 5680 6272 6400 6860 6958 7100 7168 7840 7952 8575 8960 9088 9604 9800 9940 10240 10976 11200 11360 12005 12425 12544 12800 13720 13916 14200 14336 15680 15904 16807 17150 17395 17920 18176 19208 19600 19880 21952 22400 22720 24010 24353 24850 25088 25600 27440 27832 28400 31360 31808 33614 34300 34790 35840 36352 38416 39200 39760 43904 44800 45440 48020 48706 49700 50176 51200 54880 55664 56800 60025 62720 63616 67228 68600 69580 71680 72704 76832 78400 79520 84035 86975 87808 89600 90880 96040 97412 99400 100352 109760 111328 113600 117649 120050 121765 125440 127232 134456 137200 139160 145408 153664 156800 159040 168070 170471 173950 175616 179200 181760 192080 194824 198800 219520 222656 227200 235298 240100 243530 250880 254464 268912 274400 278320 307328 313600 318080 336140 340942 347900 351232 358400 363520 384160 389648 397600 420175 439040 445312 454400 470596 480200 487060 501760 508928 537824 548800 556640 588245 608825 614656 627200 636160 672280 681884 695800 702464 727040 768320 779296 795200 823543 840350 852355 878080 890624 908800 941192 960400 974120 1017856 1075648 1097600 1113280 1176490 1193297 1217650 1229312 1254400 1272320 1344560 1363768 1391600 1536640 1558592 1590400 1647086 1680700 1704710 1756160 1781248 1817600 1882384 1920800 1948240 2151296 2195200 2226560 2352980 2386594 2435300 2458624 2508800 2544640 2689120 2727536 2783200 2941225 3073280 3117184 3180800 3294172 3361400 3409420 3512320 3562496 3635200 3764768 3841600 3896480 4117715 4261775 4302592 4390400 4453120 4705960 4773188 4870600 4917248 5089280 5378240 5455072 5566400 5764801 5882450 5966485 6146560 6234368 6361600 6588344 6722800 6818840 7124992 7529536 7683200 7792960 8235430 8353079 8523550 8605184 8780800 8906240 9411920 9546376 9741200 10756480 10910144 11132800 11529602 11764900 11932970 12293120 12468736 12723200 13176688 13445600 13637680 15059072 15366400 15585920 16470860 16706158 17047100 17210368 17561600 17812480 18823840 19092752 19482400 20588575 21512960 21820288 22265600 23059204 23529800 23865940 24586240 24937472 25446400 26353376 26891200 27275360 28824005 29832425 30118144 30732800 31171840 32941720 33412316 34094200 34420736 35624960 37647680 38185504 38964800 40353607 41177150 41765395 43025920 43640576 44531200 46118408 47059600 47731880 49874944 52706752 53782400 54550720 57648010 58471553 59664850 60236288 61465600 62343680 65883440 66824632 68188400 75295360 76371008 77929600 80707214 82354300 83530790 86051840 87281152 89062400 92236816 94119200 95463760 105413504 107564800 109101440 115296020 116943106 119329700 120472576 122931200 124687360 131766880 133649264 136376800 144120025 150590720 152742016 155859200 161414428 164708600 167061580 172103680 174562304 178124800 184473632 188238400 190927520 201768035 208826975 210827008 215129600 218202880 230592040 233886212 238659400 240945152 249374720 263533760 267298528 272753600 288240050 292357765 301181440 305484032 311718400 322828856 329417200 334123160 349124608 368947264 376476800 381855040 403536070 409300871 417653950 421654016 430259200 436405760 461184080 467772424 477318800 527067520 534597056 545507200 576480100 584715530 602362880 610968064 623436800 645657712 658834400 668246320 737894528 752953600 763710080 807072140 818601742 835307900 843308032 860518400 872811520 922368160 935544848 954637600 1008840175 1054135040 1069194112 1091014400 1152960200 1169431060 1204725760 1221936128 1246873600 1291315424 1317668800 1336492640 1461788825 1475789056 1505907200 1527420160 1614144280 1637203484 1670615800 1686616064 1745623040 1844736320 1871089696 1909275200 2017680350 2046504355 2108270080 2138388224 2182028800 2305920400 2338862120 2443872256 2582630848 2635337600 2672985280 2865106097 2923577650 2951578112 3011814400 3054840320 3228288560 3274406968 3341231600 3689472640 3742179392 3818550400 4035360700 4093008710 4216540160 4276776448 4364057600 4611840800 4677724240 5165261696 5270675200 5345970560 5730212194 5847155300 5903156224 6023628800 6109680640 6456577120 6548813936 6682463200 7378945280 7484358784 7637100800 8070721400 8186017420 8433080320 8553552896 8728115200 9223681600 9355448480 10232521775 10330523392 10541350400 10691941120 11460424388 11694310600 11806312448 12219361280 12913154240 13097627872 13364926400 14325530485 14757890560 14968717568 15274201600 16141442800 16372034840 17107105792 18447363200 18710896960 20465043550 20661046784 21082700800 21383882240 22920848776 23388621200 25826308480 26195255744 26729852800 28651060970 29515781120 29937435136 30548403200 32282885600 32744069680 36894726400 37421793920 40930087100 41322093568 42165401600 42767764480 45841697552 46777242400 51652616960 52390511488 53459705600 57302121940 59031562240 59874870272 61096806400 64565771200 65488139360 71627652425 73789452800 74843587840 81860174200 82644187136 85535528960 91683395104 93554484800 103305233920 104781022976 106919411200 114604243880 119749740544 129131542400 130976278720 143255304850 147578905600 149687175680 163720348400 183366790208 187108969600 206610467840 209562045952 213838822400 229208487760 258263084800 261952557440 286510609700 295157811200 299374351360 327440696800 366733580416 374217939200 413220935680 419124091904 427677644800 458416975520 516526169600 523905114880 573021219400 598748702720 654881393600 733467160832 748435878400 838248183808 916833951040 1033052339200 1047810229760 1146042438800 1309762787200 1466934321664 1496871756800 1833667902080 2066104678400 2095620459520 2292084877600 2619525574400 2933868643328 2993743513600 3667335804160 4191240919040 4584169755200 5239051148800 5867737286656 7334671608320 9168339510400 10478102297600 14669343216640 18336679020800 20956204595200 29338686433280 36673358041600 73346716083200 146693432166400
• Sum of all divisors σ(n): 430305844288320
• Sum of proper divisors (its aliquot sum) s(n): 283612412121920
• 146693432166400 is an abundant number, because the sum of its proper divisors (283612412121920) is greater than itself. Its abundance is 136918979955520

Bases of 146693432166400

• Binary: 100001010110101010111001111010100100100000000000₂
• Hexadecimal: 0x856AB9EA4800
• Base-36: 1FZY15ZZLS

Squares and roots of 146693432166400

• 146693432166400 squared (146693432166400²) is 21518963040758198197288960000
• 146693432166400 cubed (146693432166400³) is 3156690545110731425678694818139602944000000
• The square root of 146693432166400 is 12111706.4101801939
• The cube root of 146693432166400 is 52739.6070857369

Scales and comparisons

• 146,693,432,166,400 seconds is equal to 4,664,397 years, 20 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 146,693,432,166,400 would take you about eleven million, six hundred sixty thousand, nine hundred ninety-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 146693432166400 cubic inches would be around 4395 feet tall.

Recreational maths with 146693432166400

• 146693432166400 backwards is 004661234396641
• The number of decimal digits it has is: 15
• The sum of 146693432166400's digits is 55
• More coming soon!