168138226278400
168,138,226,278,400 is an even composite number composed of six prime numbers multiplied together.
168138226278400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 168138226278400:
213 × 52 × 7 × 432 × 137 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 43 × 43 × 137 × 463)See below for interesting mathematical facts about the number 168138226278400 from the Numbermatics database.
Names of 168138226278400
- Cardinal: 168138226278400 can be written as One hundred sixty-eight trillion, one hundred thirty-eight billion, two hundred twenty-six million, two hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.681382262784 × 1014
Factors of 168138226278400
Divisors of 168138226278400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 64 70 80 86 100 112 128 137 140 160 172 175 200 215 224 256 274 280 301 320 344 350 400 430 448 463 512 548 560 602 640 685 688 700 800 860 896 926 959 1024 1075 1096 1120 1204 1280 1370 1376 1400 1505 1600 1720 1792 1849 1852 1918 2048 2150 2192 2240 2315 2408 2560 2740 2752 2800 3010 3200 3241 3425 3440 3584 3698 3704 3836 4096 4300 4384 4480 4630 4795 4816 5120 5480 5504 5600 5891 6020 6400 6482 6850 6880 7168 7396 7408 7525 7672 8192 8600 8768 8960 9245 9260 9590 9632 10240 10960 11008 11200 11575 11782 12040 12800 12943 12964 13700 13760 14336 14792 14816 15050 15344 16205 17200 17536 17920 18490 18520 19180 19264 19909 20480 21920 22016 22400 23150 23564 23975 24080 25600 25886 25928 27400 27520 28672 29455 29584 29632 30100 30688 32410 34400 35072 35840 36980 37040 38360 38528 39818 40960 41237 43840 44032 44800 46225 46300 47128 47950 48160 51200 51772 51856 54800 55040 57344 58910 59168 59264 60200 61376 63431 64715 64820 68800 70144 71680 73960 74080 76720 77056 79636 81025 82474 87680 88064 89600 92450 92600 94256 95900 96320 99545 102400 103544 103712 109600 110080 117820 118336 118528 120400 122752 126862 129430 129640 137600 139363 140288 143360 147275 147920 148160 153440 154112 159272 162050 164948 175360 176128 179200 184900 185200 188512 191800 192640 199090 204800 206185 207088 207424 219200 220160 235640 236672 237056 240800 245504 253313 253724 258860 259280 275200 278726 280576 286720 294550 295840 296320 306880 308224 317155 318544 323575 324100 329896 350720 352256 358400 369800 370400 377024 383600 385280 398180 412370 414176 414848 438400 440320 444017 471280 473344 474112 481600 491008 497725 506626 507448 517720 518560 550400 557452 561152 589100 591680 592640 613760 616448 634310 637088 647150 648200 659792 696815 701440 716800 739600 740800 754048 767200 770560 796360 824740 828352 829696 856087 876800 880640 888034 942560 946688 948224 963200 982016 995450 1013252 1014896 1030925 1035440 1037120 1100800 1114904 1122304 1178200 1183360 1185280 1227520 1232896 1266565 1268620 1274176 1294300 1296400 1319584 1393630 1402880 1433600 1479200 1481600 1508096 1534400 1541120 1585775 1592720 1649480 1656704 1659392 1712174 1753600 1761280 1773191 1776068 1885120 1893376 1896448 1926400 1964032 1990900 2026504 2029792 2061850 2070880 2074240 2201600 2220085 2229808 2356400 2366720 2370560 2455040 2465792 2533130 2537240 2548352 2588600 2592800 2639168 2727533 2787260 2805760 2958400 2963200 3016192 3068800 3082240 3171550 3185440 3298960 3313408 3318784 3424348 3484075 3507200 3546382 3552136 3770240 3786752 3792896 3852800 3928064 3981800 4053008 4059584 4123700 4141760 4148480 4280435 4403200 4440170 4459616 4712800 4733440 4741120 4910080 5066260 5074480 5096704 5177200 5185600 5278336 5455066 5574520 5611520 5916800 5926400 5992609 6032384 6137600 6164480 6332825 6343100 6370880 6597920 6626816 6637568 6848696 6968150 7014400 7092764 7104272 7540480 7573504 7705600 7856128 7963600 8106016 8119168 8247400 8283520 8296960 8560870 8806400 8865955 8880340 8919232 9425600 9466880 9482240 9820160 10132520 10148960 10193408 10354400 10371200 10556672 10910132 11100425 11149040 11833600 11852800 11985218 12064768 12275200 12328960 12665650 12686200 12741760 13195840 13253632 13275136 13637665 13697392 13936300 14028800 14185528 14208544 15080960 15147008 15411200 15927200 16212032 16238336 16494800 16567040 16593920 17121740 17731910 17760680 17838464 18851200 18933760 18964480 19092731 19640320 20265040 20297920 20386816 20708800 20742400 21113344 21402175 21820264 22200850 22298080 23667200 23705600 23970436 24129536 24550400 25331300 25372400 25483520 26391680 26507264 26550272 27275330 27394784 27872600 28057600 28371056 28417088 29963045 30161920 30822400 31854400 32424064 32476672 32989600 33134080 33187840 34243480 35463820 35521360 35676928 37702400 37867520 38185462 39280640 40530080 40595840 40773632 41417600 41484800 42226688 42804350 43640528 44329775 44401700 44596160 47334400 47411200 47940872 48259072 49100800 50662600 50744800 50967040 52783360 53014528 54550660 54789568 55745200 56742112 56834176 59926090 60323840 61644800 63708800 64848128 64953344 65979200 66268160 66375680 68188325 68486960 70927640 71042720 71353856 75404800 75735040 76370924 81060160 81191680 81547264 82835200 82969600 84453376 85608700 87281056 88659550 88803400 89192320 94668800 94822400 95463655 95881744 98201600 101325200 101489600 101934080 105566720 106029056 109101320 109579136 111490400 113484224 113668352 117283919 119852180 120647680 127417600 129696256 129906688 131958400 132536320 132751360 136376650 136973920 141855280 142085440 142707712 149815225 150809600 152741848 162120320 162383360 163094528 165670400 165939200 168906752 171217400 174562112 177319100 177606800 178384640 189337600 190927310 191763488 196403200 202650400 202979200 203868160 211133440 218202640 219158272 222980800 226968448 227336704 234567838 239704360 241295360 254835200 259392512 259813376 263916800 265072640 272753300 273947840 283710560 284170880 285415424 299630450 301619200 305483696 324240640 324766720 331340800 331878400 337813504 342434800 349124224 354638200 355213600 356769280 378675200 381854620 383526976 405300800 405958400 407736320 422266880 436405280 438316544 445961600 453936896 454673408 469135676 477318275 479408720 509670400 518785024 519626752 527833600 530145280 545506600 547895680 567421120 568341760 570830848 586419595 599260900 603238400 610967392 648481280 649533440 662681600 663756800 684869600 698248448 709276400 710427200 713538560 763709240 767053952 810601600 811916800 815472640 820987433 844533760 872810560 876633088 891923200 907873792 909346816 938271352 954636550 958817440 1019340800 1037570048 1055667200 1091013200 1095791360 1134842240 1136683520 1141661696 1172839190 1198521800 1206476800 1221934784 1296962560 1299066880 1325363200 1369739200 1396496896 1418552800 1420854400 1427077120 1527418480 1534107904 1621203200 1623833600 1641974866 1689067520 1745621120 1753266176 1783846400 1815747584 1818693632 1876542704 1909273100 1917634880 2038681600 2075140096 2111334400 2182026400 2191582720 2269684480 2273367040 2345678380 2397043600 2443869568 2593925120 2598133760 2650726400 2739478400 2792993792 2837105600 2841708800 2854154240 2932097975 3054836960 3068215808 3242406400 3247667200 3283949732 3491242240 3506532352 3567692800 3631495168 3637387264 3753085408 3818546200 3835269760 4077363200 4104937165 4222668800 4364052800 4383165440 4539368960 4546734080 4691356760 4794087200 4887739136 5187850240 5478956800 5585987584 5674211200 5683417600 5708308480 5864195950 6109673920 6136431616 6484812800 6495334400 6567899464 6982484480 7013064704 7135385600 7262990336 7506170816 7637092400 7670539520 8209874330 8445337600 8728105600 8766330880 9078737920 9093468160 9382713520 9588174400 9775478272 10375700480 10957913600 11171975168 11348422400 11366835200 11728391900 12219347840 12272863232 12969625600 12990668800 13135798928 13964968960 14270771200 14525980672 15012341632 15274184800 15341079040 16419748660 17456211200 17532661760 18157475840 18186936320 18765427040 19176348800 19550956544 20524685825 21915827200 22343950336 22696844800 22733670400 23456783800 24438695680 24545726464 25939251200 26271597856 27929937920 28541542400 30024683264 30548369600 30682158080 32839497320 34912422400 35065323520 36314951680 37530854080 38352697600 39101913088 41049371650 43831654400 45393689600 45467340800 46913567600 48877391360 49091452928 51878502400 52543195712 55859875840 60049366528 61096739200 61364316160 65678994640 69824844800 72629903360 75061708160 76705395200 78203826176 82098743300 87663308800 90787379200 90934681600 93827135200 97754782720 105086391424 111719751680 120098733056 122193478400 122728632320 131357989280 139649689600 150123416320 153410790400 156407652352 164197486600 175326617600 181574758400 187654270400 195509565440 210172782848 240197466112 244386956800 245457264640 262715978560 279299379200 300246832640 306821580800 328394973200 363149516800 375308540800 391019130880 420345565696 480394932224 488773913600 525431957120 558598758400 600493665280 613643161600 656789946400 750617081600 782038261760 840691131392 960789864448 977547827200 1050863914240 1200987330560 1227286323200 1313579892800 1501234163200 1681382262784 1955095654400 2101727828480 2401974661120 2627159785600 3002468326400 3362764525568 3910191308800 4203455656960 4803949322240 5254319571200 6004936652800 6725529051136 8406911313920 10508639142400 12009873305600 16813822627840 21017278284800 24019746611200 33627645255680 42034556569600 84069113139200 168138226278400
- Sum of all divisors σ(n): 492484756886784
- Sum of proper divisors (its aliquot sum) s(n): 324346530608384
- 168138226278400 is an abundant number, because the sum of its proper divisors (324346530608384) is greater than itself. Its abundance is 156208304329984
Bases of 168138226278400
- Binary: 1001100011101011101110110100000000100000000000002
- Hexadecimal: 0x98EBBB402000
- Base-36: 1NLLMUQ4N4
Squares and roots of 168138226278400
- 168138226278400 squared (1681382262784002) is 28270463136046440314306560000
- 168138226278400 cubed (1681382262784003) is 4753345527763742065137716402065506304000000
-
The
square root of 168138226278400 is 12966812.4949194819 -
The
cube root of 168138226278400 is 55193.6125466303
Scales and comparisons
How big is 168138226278400?- 168,138,226,278,400 seconds is equal to 5,346,275 years, 26 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 168,138,226,278,400 would take you about thirteen million, three hundred sixty-five thousand, six hundred eighty-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 168138226278400 cubic inches would be around 4599.5 feet tall.
Recreational maths with 168138226278400
- 168138226278400 backwards is 004872622831861
- The number of decimal digits it has is: 15
- The sum of 168138226278400's digits is 58
- More coming soon!
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The information we have on file for 168138226278400 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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