42202348650496000
42,202,348,650,496,000 is an even composite number composed of three prime numbers multiplied together.
42202348650496000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of five hundred ninety-two divisors.
Prime factorization of 42202348650496000:
236 × 53 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 17)See below for interesting mathematical facts about the number 42202348650496000 from the Numbermatics database.
Names of 42202348650496000
- Cardinal: 42202348650496000 can be written as Forty-two quadrillion, two hundred two trillion, three hundred forty-eight billion, six hundred fifty million, four hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.2202348650496 × 1016
Factors of 42202348650496000
Divisors of 42202348650496000
- Number of divisors d(n): 592
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 289 320 340 400 425 500 512 544 578 640 680 800 850 1000 1024 1088 1156 1280 1360 1445 1600 1700 2000 2048 2125 2176 2312 2560 2720 2890 3200 3400 4000 4096 4250 4352 4624 4913 5120 5440 5780 6400 6800 7225 8000 8192 8500 8704 9248 9826 10240 10880 11560 12800 13600 14450 16000 16384 17000 17408 18496 19652 20480 21760 23120 24565 25600 27200 28900 32000 32768 34000 34816 36125 36992 39304 40960 43520 46240 49130 51200 54400 57800 64000 65536 68000 69632 72250 73984 78608 81920 87040 92480 98260 102400 108800 115600 122825 128000 131072 136000 139264 144500 147968 157216 163840 174080 184960 196520 204800 217600 231200 245650 256000 262144 272000 278528 289000 295936 314432 327680 348160 369920 393040 409600 435200 462400 491300 512000 524288 544000 557056 578000 591872 614125 628864 655360 696320 739840 786080 819200 870400 924800 982600 1024000 1048576 1088000 1114112 1156000 1183744 1228250 1257728 1310720 1392640 1479680 1572160 1638400 1740800 1849600 1965200 2048000 2097152 2176000 2228224 2312000 2367488 2456500 2515456 2621440 2785280 2959360 3144320 3276800 3481600 3699200 3930400 4096000 4194304 4352000 4456448 4624000 4734976 4913000 5030912 5242880 5570560 5918720 6288640 6553600 6963200 7398400 7860800 8192000 8388608 8704000 8912896 9248000 9469952 9826000 10061824 10485760 11141120 11837440 12577280 13107200 13926400 14796800 15721600 16384000 16777216 17408000 17825792 18496000 18939904 19652000 20123648 20971520 22282240 23674880 25154560 26214400 27852800 29593600 31443200 32768000 33554432 34816000 35651584 36992000 37879808 39304000 40247296 41943040 44564480 47349760 50309120 52428800 55705600 59187200 62886400 65536000 67108864 69632000 71303168 73984000 75759616 78608000 80494592 83886080 89128960 94699520 100618240 104857600 111411200 118374400 125772800 131072000 134217728 139264000 142606336 147968000 151519232 157216000 160989184 167772160 178257920 189399040 201236480 209715200 222822400 236748800 251545600 262144000 268435456 278528000 285212672 295936000 303038464 314432000 321978368 335544320 356515840 378798080 402472960 419430400 445644800 473497600 503091200 524288000 536870912 557056000 570425344 591872000 606076928 628864000 643956736 671088640 713031680 757596160 804945920 838860800 891289600 946995200 1006182400 1048576000 1073741824 1114112000 1140850688 1183744000 1212153856 1257728000 1287913472 1342177280 1426063360 1515192320 1609891840 1677721600 1782579200 1893990400 2012364800 2097152000 2147483648 2228224000 2281701376 2367488000 2424307712 2515456000 2575826944 2684354560 2852126720 3030384640 3219783680 3355443200 3565158400 3787980800 4024729600 4194304000 4294967296 4456448000 4563402752 4734976000 4848615424 5030912000 5151653888 5368709120 5704253440 6060769280 6439567360 6710886400 7130316800 7575961600 8049459200 8388608000 8589934592 8912896000 9126805504 9469952000 9697230848 10061824000 10303307776 10737418240 11408506880 12121538560 12879134720 13421772800 14260633600 15151923200 16098918400 16777216000 17179869184 17825792000 18253611008 18939904000 19394461696 20123648000 20606615552 21474836480 22817013760 24243077120 25758269440 26843545600 28521267200 30303846400 32197836800 33554432000 34359738368 35651584000 36507222016 37879808000 38788923392 40247296000 41213231104 42949672960 45634027520 48486154240 51516538880 53687091200 57042534400 60607692800 64395673600 67108864000 68719476736 71303168000 73014444032 75759616000 77577846784 80494592000 82426462208 85899345920 91268055040 96972308480 103033077760 107374182400 114085068800 121215385600 128791347200 134217728000 142606336000 146028888064 151519232000 155155693568 160989184000 164852924416 171798691840 182536110080 193944616960 206066155520 214748364800 228170137600 242430771200 257582694400 268435456000 285212672000 292057776128 303038464000 310311387136 321978368000 329705848832 343597383680 365072220160 387889233920 412132311040 429496729600 456340275200 484861542400 515165388800 536870912000 570425344000 584115552256 606076928000 620622774272 643956736000 659411697664 730144440320 775778467840 824264622080 858993459200 912680550400 969723084800 1030330777600 1073741824000 1140850688000 1168231104512 1212153856000 1241245548544 1287913472000 1318823395328 1460288880640 1551556935680 1648529244160 1717986918400 1825361100800 1939446169600 2060661555200 2147483648000 2281701376000 2424307712000 2482491097088 2575826944000 2637646790656 2920577761280 3103113871360 3297058488320 3650722201600 3878892339200 4121323110400 4294967296000 4563402752000 4848615424000 4964982194176 5151653888000 5275293581312 5841155522560 6206227742720 6594116976640 7301444403200 7757784678400 8242646220800 8589934592000 9126805504000 9697230848000 9929964388352 10303307776000 10550587162624 12412455485440 13188233953280 14602888806400 15515569356800 16485292441600 18253611008000 19394461696000 19859928776704 20606615552000 21101174325248 24824910970880 26376467906560 29205777612800 31031138713600 32970584883200 36507222016000 38788923392000 41213231104000 42202348650496 49649821941760 52752935813120 62062277427200 65941169766400 73014444032000 77577846784000 82426462208000 84404697300992 99299643883520 105505871626240 124124554854400 131882339532800 146028888064000 155155693568000 164852924416000 168809394601984 211011743252480 248249109708800 263764679065600 310311387136000 329705848832000 337618789203968 422023486504960 496498219417600 527529358131200 620622774272000 659411697664000 844046973009920 1055058716262400 1241245548544000 1318823395328000 1688093946019840 2110117432524800 2482491097088000 2637646790656000 4220234865049600 5275293581312000 8440469730099200 10550587162624000 21101174325248000 42202348650496000
- Sum of all divisors σ(n): 111919288590504720
- Sum of proper divisors (its aliquot sum) s(n): 69716939940008720
- 42202348650496000 is an abundant number, because the sum of its proper divisors (69716939940008720) is greater than itself. Its abundance is 27514591289512720
Bases of 42202348650496000
- Binary: 100101011110111011010000000000000000000000000000000000002
- Hexadecimal: 0x95EED000000000
- Base-36: BJJHFBM5IPS
Squares and roots of 42202348650496000
- 42202348650496000 squared (422023486504960002) is 1781038231618021552361046016000000
- 42202348650496000 cubed (422023486504960003) is 75163996410606594138837633335896557223936000000000
-
The
square root of 42202348650496000 is 205432102.2880698653 -
42202348650496000 is a
perfect cube number . Itscube root is 348160
Scales and comparisons
How big is 42202348650496000?- 42,202,348,650,496,000 seconds is equal to 1,341,904,146 years, 33 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,202,348,650,496,000 would take you about four billion, twenty-five million, seven hundred twelve thousand, four hundred thirty-nine 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 42202348650496000 cubic inches would be around 29013.3 feet tall.
Recreational maths with 42202348650496000
- 42202348650496000 backwards is 00069405684320224
- The number of decimal digits it has is: 17
- The sum of 42202348650496000's digits is 55
- More coming soon!
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