146189782945975680

Names of 146189782945975680

• Cardinal: 146189782945975680 can be written as One hundred forty-six quadrillion, one hundred eighty-nine trillion, seven hundred eighty-two billion, nine hundred forty-five million, nine hundred seventy-five thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.4618978294597568 × 10¹⁷

Factors of 146189782945975680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 202154303

Divisors of 146189782945975680

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 223 240 288 320 360 384 446 480 563 576 640 669 720 892 960 1115 1126 1152 1338 1440 1689 1784 1920 2007 2230 2252 2676 2815 2880 3345 3378 3568 4014 4460 4504 5067 5352 5630 5760 6690 6756 7136 8028 8445 8920 9008 10035 10134 10704 11260 13380 13512 14272 16056 16890 17840 18016 20070 20268 21408 22520 25335 26760 27024 28544 32112 33780 35680 36032 40140 40536 42816 45040 50670 53520 54048 64224 67560 71360 72064 80280 81072 85632 90080 101340 107040 108096 125549 128448 135120 142720 160560 162144 180160 202680 214080 216192 251098 256896 270240 321120 324288 360320 376647 405360 428160 502196 540480 627745 642240 648576 753294 810720 1004392 1080960 1129941 1255490 1284480 1506588 1621440 1883235 2008784 2259882 2510980 3013176 3242880 3766470 4017568 4519764 5021960 5649705 6026352 7532940 8035136 9039528 10043920 11299410 12052704 15065880 16070272 18079056 20087840 22598820 24105408 30131760 36158112 40175680 45197640 48210816 60263520 72316224 80351360 90395280 120527040 144632448 180790560 202153507 241054080 361581120 404307014 606460521 723162240 808614028 1010767535 1212921042 1617228056 1819381563 2021535070 2425842084 3032302605 3234456112 3638763126 4043070140 4851684168 6064605210 6468912224 7277526252 8086140280 9096907815 9703368336 12129210420 12937824448 14555052504 16172280560 18193815630 19406736672 24258420840 25875648896 29110105008 32344561120 36387631260 38813473344 45080232061 48516841680 58220210016 64689122240 72775262520 77626946688 90160464122 97033683360 113812424441 116440420032 129378244480 135240696183 145550525040 180320928244 194067366720 225401160305 227624848882 232880840064 270481392366 291101050080 341437273323 360641856488 388134733440 405722088549 450802320610 455249697764 540962784732 569062122205 582202100160 676203480915 682874546646 721283712976 811444177098 901604641220 910499395528 1024311819969 1081925569464 1138124244410 1164404200320 1352406961830 1365749093292 1442567425952 1622888354196 1707186366615 1803209282440 1820998791056 2028610442745 2048623639938 2163851138928 2276248488820 2704813923660 2731498186584 2885134851904 3245776708392 3414372733230 3606418564880 3641997582112 4057220885490 4097247279876 4327702277856 4552496977640 5121559099845 5409627847320 5462996373168 5770269703808 6491553416784 6828745466460 7212837129760 7283995164224 8114441770980 8194494559752 8655404555712 9104993955280 10243118199690 10819255694640 10925992746336 12983106833568 13657490932920 14425674259520 14567990328448 16228883541960 16388989119504 17310809111424 18209987910560 20486236399380 21638511389280 21851985492672 25380170650343 25966213667136 27314981865840 28851348519040 32457767083920 32777978239008 36419975821120 40972472798760 43277022778560 43703970985344 50760341300686 51932427334272 54629963731680 64915534167840 65555956478016 72839951642240 76140511951029 81944945597520 86554045557120 101520682601372 109259927463360 126900853251715 129831068335680 131111912956032 152281023902058 163889891195040 203041365202744 218519854926720 228421535853087 253801706503430 259662136671360 304562047804116 327779782390080 380702559755145 406082730405488 456843071706174 507603413006860 609124095608232 655559564780160 761405119510290 812165460810976 913686143412348 1015206826013720 1142107679265435 1218248191216464 1522810239020580 1624330921621952 1827372286824696 2030413652027440 2284215358530870 2436496382432928 3045620478041160 3248661843243904 3654744573649392 4060827304054880 4568430717061740 4872992764865856 6091240956082320 7309489147298784 8121654608109760 9136861434123480 9745985529731712 12182481912164640 14618978294597568 16243309216219520 18273722868246960 24364963824329280 29237956589195136 36547445736493920 48729927648658560 73094891472987840 146189782945975680
• Sum of all divisors σ(n): 507975992519224320
• Sum of proper divisors (its aliquot sum) s(n): 361786209573248640
• 146189782945975680 is an abundant number, because the sum of its proper divisors (361786209573248640) is greater than itself. Its abundance is 215596426627272960

Bases of 146189782945975680

• Binary: 1000000111010111101101010101000010010010010100110110000000₂
• Hexadecimal: 0x2075ED542494D80
• Base-36: 13ZFYB5DOWW0

Squares and roots of 146189782945975680

• 146189782945975680 squared (146189782945975680²) is 21371452637791481767873507151462400
• 146189782945975680 cubed (146189782945975680³) is 3124288022358936122724993277619472318786306834432000
• The square root of 146189782945975680 is 382347725.1743178345
• The cube root of 146189782945975680 is 526791.8011488061

Scales and comparisons

• 146,189,782,945,975,680 seconds is equal to 4,648,382,902 years, 51 weeks, 4 days, 12 hours, 48 minutes.
• To count from 1 to 146,189,782,945,975,680 would take you about thirteen billion, nine hundred forty-five million, one hundred forty-eight thousand, seven hundred 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 146189782945975680 cubic inches would be around 43899.3 feet tall.

Recreational maths with 146189782945975680

• 146189782945975680 backwards is 086579549287981641
• The number of decimal digits it has is: 18
• The sum of 146189782945975680's digits is 99
• More coming soon!