146742939440064

Names of 146742939440064

• Cardinal: 146742939440064 can be written as One hundred forty-six trillion, seven hundred forty-two billion, nine hundred thirty-nine million, four hundred forty thousand and sixty-four.

Scientific notation

• Scientific notation: 1.46742939440064 × 10¹⁴

Factors of 146742939440064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 492612

Divisors of 146742939440064

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 37 41 44 48 62 64 66 72 74 82 88 93 96 99 111 123 124 132 144 148 164 176 186 192 198 222 246 248 264 279 288 296 328 333 341 352 369 372 396 407 444 451 492 496 528 558 576 592 656 666 682 704 738 744 792 814 888 902 984 992 1023 1056 1116 1147 1184 1221 1271 1312 1332 1353 1364 1476 1488 1517 1584 1628 1776 1804 1968 1984 2046 2112 2232 2294 2368 2442 2542 2624 2664 2706 2728 2952 2976 3034 3069 3168 3256 3441 3552 3608 3663 3813 3936 4059 4092 4464 4551 4588 4884 5084 5328 5412 5456 5904 5952 6068 6138 6336 6512 6882 7104 7216 7326 7626 7872 8118 8184 8928 9102 9176 9768 10168 10323 10656 10824 10912 11439 11808 12136 12276 12617 13024 13653 13764 13981 14432 14652 15252 16236 16368 16687 17856 18204 18352 19536 20336 20646 21312 21648 21824 22878 23616 24272 24552 25234 26048 27306 27528 27962 28864 29304 30504 32472 32736 33374 36408 36704 37851 39072 40672 41292 41943 43296 45756 47027 48544 49104 50061 50468 54612 55056 55924 58608 61008 64944 65472 66748 72816 73408 75702 78144 81344 82584 83886 86592 91512 94054 97088 98208 100122 100936 109224 110112 111848 113553 117216 122016 125829 129888 133496 141081 145632 150183 151404 165168 167772 183024 188108 196416 200244 201872 218448 220224 223696 227106 234432 244032 251658 259776 266992 282162 291264 300366 302808 330336 335544 366048 376216 400488 403744 423243 436896 447392 454212 492487 503316 517297 533984 564324 600732 605616 660672 671088 732096 752432 800976 807488 846486 873792 894784 908424 984974 1006632 1034594 1067968 1128648 1201464 1211232 1342176 1477461 1504864 1551891 1601952 1692972 1816848 1969948 2013264 2069188 2257296 2402928 2422464 2684352 2954922 3009728 3103782 3203904 3385944 3633696 3939896 4026528 4138376 4432383 4514592 4655673 4805856 5417357 5909844 6207564 6771888 7267392 7879792 8053056 8276752 8864766 9029184 9311346 9611712 10834714 11819688 12415128 13543776 15267097 15759584 16252071 16553504 17729532 18222019 18622692 20191967 21669428 23639376 24830256 27087552 30534194 31519168 32504142 33107008 35459064 36444038 37245384 40383934 43338856 45801291 47278752 48756213 49660512 54666057 60575901 61068388 65008284 70918128 72888076 74490768 80767868 86677712 91602582 94557504 97512426 99321024 109332114 121151802 122136776 130016568 137403873 141836256 145776152 148981536 161535736 163998171 167938067 173355424 181727703 183205164 195024852 200442209 218664228 222111637 242303604 244273552 260033136 274807746 283672512 291552304 297963072 323071472 327996342 335876134 346710848 363455406 366410328 390049704 400884418 437328456 444223274 484607208 488547104 503814201 520066272 549615492 564882589 583104608 601326627 625950977 646142944 655992684 666334911 671752268 726910812 732820656 747102779 780099408 801768836 874656912 888446548 969214416 977094208 1007628402 1040132544 1099230984 1129765178 1166209216 1202653254 1251901954 1292285888 1311985368 1332669822 1343504536 1453821624 1465641312 1494205558 1511442603 1560198816 1603537672 1694647767 1749313824 1776893096 1803979881 1877852931 1938428832 1999004733 2015256804 2198461968 2241308337 2259530356 2405306508 2503803908 2623970736 2665339644 2687009072 2907643248 2931282624 2988411116 3022885206 3120397632 3207075344 3389295534 3498627648 3553786192 3607959762 3755705862 3876857664 3998009466 4030513608 4396923936 4482616674 4519060712 4810613016 5007607816 5083943301 5247941472 5330679288 5374018144 5633558793 5815286496 5976822232 6045770412 6213708479 6414150688 6723925011 6778591068 6885460747 7107572384 7215919524 7511411724 7996018932 8061027216 8218130569 8793847872 8965233348 9038121424 9621226032 10015215632 10167886602 10495882944 10661358576 10748036288 11267117586 11630572992 11953644464 12091540824 12427416958 12828301376 13447850022 13557182136 13770921494 14215144768 14431839048 15022823448 15992037864 16122054432 16436261138 17930466696 18076242848 18641125437 19242452064 20030431264 20335773204 20656382241 21322717152 22534235172 23160186149 23907288928 24183081648 24654391707 24854833916 26895700044 27114364272 27541842988 28863678096 30045646896 31984075728 32244108864 32872522276 35860933392 36152485696 37282250874 38484904128 40060862528 40671546408 41312764482 42645434304 45068470344 46320372298 47814577856 48366163296 49308783414 49709667832 53791400088 54228728544 55083685976 55923376311 57727356192 60091293792 61969146723 63968151456 65745044552 69480558447 71721866784 73963175121 74564501748 81343092816 82625528964 90136940688 92640744596 96732326592 98617566828 99419335664 107582800176 108457457088 110167371952 111846752622 115454712384 120182587584 123938293446 127936302912 131490089104 138961116894 143443733568 147926350242 149129003496 162686185632 165251057928 180273881376 185281489192 197235133656 198838671328 208441675341 215165600352 220334743904 223693505244 247876586892 254762047639 262980178208 277922233788 295852700484 298258006992 325372371264 330502115856 360547762752 370562978384 394470267312 397677342656 416883350682 430331200704 440669487808 447387010488 495753173784 509524095278 525960356416 555844467576 591705400968 596516013984 661004231712 741125956768 764286142917 788940534624 833766701364 894774020976 991506347568 1019048190556 1111688935152 1183410801936 1193032027968 1322008463424 1482251913536 1528572285834 1577881069248 1667533402728 1789548041952 1983012695136 2038096381112 2223377870304 2292858428751 2366821603872 3057144571668 3335066805456 3579096083904 3966025390272 4076192762224 4446755740608 4585716857502 4733643207744 6114289143336 6670133610912 8152385524448 9171433715004 12228578286672 13340267221824 16304771048896 18342867430008 24457156573344 36685734860016 48914313146688 73371469720032 146742939440064
• Sum of all divisors σ(n): 498318301458432
• Sum of proper divisors (its aliquot sum) s(n): 351575362018368
• 146742939440064 is an abundant number, because the sum of its proper divisors (351575362018368) is greater than itself. Its abundance is 204832422578304

Bases of 146742939440064

• Binary: 100001010111011001000000110001110101001111000000₂
• Hexadecimal: 0x857640C753C0
• Base-36: 1G0KRXCOG0

Squares and roots of 146742939440064

• 146742939440064 squared (146742939440064²) is 21533490275510290609848324096
• 146742939440064 cubed (146742939440064³) is 3159887659432413633435405949003851038982144
• The square root of 146742939440064 is 12113750.0155841089
• The cube root of 146742939440064 is 52745.5394133379

Scales and comparisons

• 146,742,939,440,064 seconds is equal to 4,665,971 years, 29 weeks, 3 days, 22 hours, 14 minutes, 24 seconds.
• To count from 1 to 146,742,939,440,064 would take you about eleven million, six hundred sixty-four thousand, nine hundred twenty-eight 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 146742939440064 cubic inches would be around 4395.5 feet tall.

Recreational maths with 146742939440064

• 146742939440064 backwards is 460044939247641
• The number of decimal digits it has is: 15
• The sum of 146742939440064's digits is 63
• More coming soon!