146968935424000
146,968,935,424,000 is an even composite number composed of six prime numbers multiplied together.
146968935424000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 146968935424000:
213 × 53 × 73 × 113 × 127 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 73 × 113 × 127 × 137)See below for interesting mathematical facts about the number 146968935424000 from the Numbermatics database.
Names of 146968935424000
- Cardinal: 146968935424000 can be written as One hundred forty-six trillion, nine hundred sixty-eight billion, nine hundred thirty-five million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.46968935424 × 1014
Factors of 146968935424000
Divisors of 146968935424000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 113 125 127 128 137 146 160 200 226 250 254 256 274 292 320 365 400 452 500 508 512 548 565 584 635 640 685 730 800 904 1000 1016 1024 1096 1130 1168 1270 1280 1370 1460 1600 1808 1825 2000 2032 2048 2192 2260 2336 2540 2560 2740 2825 2920 3175 3200 3425 3616 3650 4000 4064 4096 4384 4520 4672 5080 5120 5480 5650 5840 6350 6400 6850 7232 7300 8000 8128 8192 8249 8768 9040 9125 9271 9344 10001 10160 10240 10960 11300 11680 12700 12800 13700 14125 14351 14464 14600 15481 15875 16000 16256 16498 17125 17399 17536 18080 18250 18542 18688 20002 20320 20480 21920 22600 23360 25400 25600 27400 28250 28702 28928 29200 30962 31750 32000 32512 32996 34250 34798 35072 36160 36500 37084 37376 40004 40640 40960 41245 43840 45200 46355 46720 50005 50800 51200 54800 56500 57404 57856 58400 61924 63500 64000 65024 65992 68500 69596 70144 71755 72320 73000 74168 74752 77405 80008 81280 82490 86995 87680 90400 92710 93440 100010 101600 102400 109600 113000 114808 115712 116800 123848 127000 128000 130048 131984 137000 139192 140288 143510 144640 146000 148336 149504 154810 160016 162560 164980 173990 175360 180800 185420 186880 200020 203200 204800 206225 219200 226000 229616 231424 231775 233600 247696 250025 254000 256000 260096 263968 274000 278384 280576 287020 289280 292000 296672 299008 309620 320032 325120 329960 347980 350720 358775 361600 370840 373760 387025 400040 406400 412450 434975 438400 452000 459232 462848 463550 467200 495392 500050 508000 512000 520192 527936 548000 556768 561152 574040 578560 584000 593344 598016 619240 640064 650240 659920 695960 701440 717550 723200 741680 747520 774050 800080 812800 824900 869950 876800 904000 918464 925696 927100 934400 990784 1000100 1016000 1024000 1031125 1040384 1047623 1055872 1096000 1113536 1122304 1130113 1148080 1157120 1158875 1168000 1186688 1238480 1250125 1270127 1280128 1300480 1319840 1391920 1402880 1435100 1446400 1483360 1495040 1548100 1600160 1625600 1649800 1739900 1753600 1793875 1808000 1836928 1854200 1868800 1935125 1966087 1981568 2000200 2032000 2062250 2095246 2111744 2174875 2192000 2227072 2260226 2296160 2314240 2317750 2336000 2373376 2476960 2500250 2540254 2560256 2600960 2639680 2783840 2805760 2870200 2892800 2966720 2990080 3096200 3200320 3251200 3299600 3479800 3507200 3587750 3616000 3673856 3708400 3737600 3870250 3932174 3963136 4000400 4064000 4124500 4190492 4223488 4349750 4384000 4454144 4520452 4592320 4628480 4635500 4672000 4746752 4953920 5000500 5080508 5120512 5201920 5238115 5279360 5567680 5611520 5650565 5740400 5785600 5933440 6192400 6350635 6400640 6502400 6599200 6959600 7014400 7175500 7232000 7347712 7416800 7475200 7740500 7864348 7926272 8000800 8128000 8249000 8380984 8446976 8699500 8768000 8908288 9040904 9184640 9271000 9344000 9493504 9830435 9907840 10001000 10161016 10241024 10476230 10558720 11135360 11301130 11480800 11571200 11866880 12384800 12701270 12801280 13004800 13198400 13919200 14028800 14351000 14464000 14695424 14833600 14950400 15481000 15728696 15852544 16001600 16256000 16498000 16761968 16893952 17399000 17536000 17816576 18081808 18369280 18542000 18688000 18987008 19660870 19815680 20002000 20322032 20482048 20952460 21117440 22270720 22602260 22961600 23142400 23733760 24769600 25402540 25602560 26009600 26190575 26396800 27838400 28057600 28252825 28702000 28928000 29390848 29667200 30962000 31457392 31705088 31753175 32003200 32512000 32996000 33523936 33787904 34798000 35072000 35633152 36163616 36738560 37084000 37376000 37974016 39321740 39631360 40004000 40644064 40964096 41904920 42234880 44541440 45204520 45923200 47467520 49152175 49539200 50805080 51205120 52381150 52793600 55676800 56505650 57404000 57856000 58781696 59334400 61924000 62914784 63410176 63506350 64006400 65024000 65992000 67047872 67575808 69596000 70144000 71266304 72327232 73477120 74168000 74752000 75948032 78643480 79262720 80008000 81288128 81928192 83809840 84469760 89082880 90409040 91846400 94935040 98304350 99078400 101610160 102410240 104762300 105587200 111353600 113011300 114808000 115712000 117563392 118668800 123848000 125829568 126820352 127012700 128012800 130048000 130952875 131984000 134095744 139192000 140288000 141264125 142532608 143524351 144654464 146954240 148336000 157286960 158525440 158765875 160016000 162576256 167619680 168939520 178165760 180818080 183692800 189870080 196608700 198156800 203220320 204820480 209524600 211174400 222707200 226022600 229616000 237337600 245760875 247696000 251659136 254025400 256025600 261905750 263968000 268191488 278384000 282528250 287048702 289308928 293908480 296672000 314573920 317050880 317531750 320032000 325152512 335239360 337879040 356331520 361636160 367385600 379740160 393217400 396313600 406440640 409640960 419049200 422348800 445414400 452045200 459232000 474675200 491521750 495392000 503318272 508050800 512051200 523811500 527936000 536382976 556768000 565056500 574097404 578617856 587816960 593344000 629147840 634101760 635063500 640064000 650305024 670478720 712663040 717621755 723272320 734771200 786434800 792627200 812881280 838098400 844697600 890828800 904090400 918464000 949350400 983043500 990784000 1006636544 1016101600 1024102400 1047623000 1055872000 1072765952 1113536000 1130113000 1148194808 1157235712 1186688000 1258295680 1270127000 1280128000 1300610048 1340957440 1435243510 1446544640 1469542400 1572869600 1585254400 1625762560 1676196800 1689395200 1781657600 1808180800 1836928000 1898700800 1966087000 1981568000 2013273088 2032203200 2048204800 2095246000 2111744000 2145531904 2227072000 2260226000 2296389616 2314471424 2373376000 2516591360 2540254000 2560256000 2601220096 2681914880 2870487020 2893089280 2939084800 3145739200 3170508800 3251525120 3352393600 3563315200 3588108775 3616361600 3673856000 3932174000 3963136000 4026546176 4064406400 4190492000 4223488000 4291063808 4454144000 4520452000 4592779232 4628942848 4746752000 5033182720 5080508000 5120512000 5202440192 5363829760 5740974040 5786178560 6291478400 6503050240 6704787200 7176217550 7232723200 7347712000 7864348000 7926272000 8053092352 8128812800 8380984000 8446976000 8582127616 8908288000 9040904000 9185558464 9257885696 9493504000 10066365440 10161016000 10241024000 10404880384 10727659520 11481948080 11572357120 12582956800 13006100480 13409574400 14352435100 14465446400 14695424000 15728696000 15852544000 16106184704 16257625600 16761968000 17816576000 17940543875 18081808000 18371116928 20132730880 20322032000 21455319040 22963896160 23144714240 25165913600 26012200960 26819148800 28704870200 28930892800 31457392000 32515251200 33523936000 35881087750 36163616000 36742233856 40265461760 40644064000 42910638080 45927792320 46289428480 50331827200 52024401920 53638297600 57409740400 57861785600 62914784000 65030502400 67047872000 71762175500 72327232000 73484467712 80530923520 81288128000 91855584640 100663654400 107276595200 114819480800 115723571200 125829568000 130061004800 134095744000 143524351000 144654464000 146968935424 162576256000 183711169280 201327308800 214553190400 229638961600 231447142400 251659136000 260122009600 268191488000 287048702000 289308928000 293937870848 325152512000 367422338560 402654617600 459277923200 503318272000 536382976000 574097404000 578617856000 587875741696 650305024000 734844677120 918555846400 1006636544000 1072765952000 1148194808000 1157235712000 1175751483392 1300610048000 1469689354240 1837111692800 2013273088000 2296389616000 2939378708480 3674223385600 4592779232000 5878757416960 7348446771200 9185558464000 14696893542400 18371116928000 29393787084800 36742233856000 73484467712000 146968935424000
- Sum of all divisors σ(n): 380840964820992
- Sum of proper divisors (its aliquot sum) s(n): 233872029396992
- 146968935424000 is an abundant number, because the sum of its proper divisors (233872029396992) is greater than itself. Its abundance is 86903093972992
Bases of 146968935424000
- Binary: 1000010110101010110111110011000001100000000000002
- Hexadecimal: 0x85AADF306000
- Base-36: 1G3GLHIXOG
Squares and roots of 146968935424000
- 146968935424000 squared (1469689354240002) is 21599867979663882059776000000
- 146968935424000 cubed (1469689354240003) is 3174509602270146427668371051905024000000000
-
The
square root of 146968935424000 is 12123074.5037717227 -
The
cube root of 146968935424000 is 52772.6029889477
Scales and comparisons
How big is 146968935424000?- 146,968,935,424,000 seconds is equal to 4,673,157 years, 28 weeks, 1 day, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 146,968,935,424,000 would take you about eleven million, six hundred eighty-two thousand, eight 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 146968935424000 cubic inches would be around 4397.7 feet tall.
Recreational maths with 146968935424000
- 146968935424000 backwards is 000424539869641
- The number of decimal digits it has is: 15
- The sum of 146968935424000's digits is 61
- More coming soon!
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The information we have on file for 146968935424000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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