42129129454084768000
42,129,129,454,084,768,000 is an even composite number composed of five prime numbers multiplied together.
42129129454084768000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42129129454084768000:
28 × 53 × 29 × 347 × 130829304923
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 347 × 130829304923)See below for interesting mathematical facts about the number 42129129454084768000 from the Numbermatics database.
Names of 42129129454084768000
- Cardinal: 42129129454084768000 can be written as Forty-two quintillion, one hundred twenty-nine quadrillion, one hundred twenty-nine trillion, four hundred fifty-four billion, eighty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2129129454084768 × 1019
Factors of 42129129454084768000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 130829305306
Divisors of 42129129454084768000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 290 320 347 400 464 500 580 640 694 725 800 928 1000 1160 1280 1388 1450 1600 1735 1856 2000 2320 2776 2900 3200 3470 3625 3712 4000 4640 5552 5800 6400 6940 7250 7424 8000 8675 9280 10063 11104 11600 13880 14500 16000 17350 18560 20126 22208 23200 27760 29000 32000 34700 37120 40252 43375 44416 46400 50315 55520 58000 69400 80504 86750 88832 92800 100630 111040 116000 138800 161008 173500 185600 201260 222080 232000 251575 277600 322016 347000 402520 444160 464000 503150 555200 644032 694000 805040 928000 1006300 1110400 1257875 1288064 1388000 1610080 2012600 2220800 2515750 2576128 2776000 3220160 4025200 5031500 5552000 6440320 8050400 10063000 11104000 12880640 16100800 20126000 32201600 40252000 64403200 80504000 161008000 322016000 130829304923 261658609846 523317219692 654146524615 1046634439384 1308293049230 2093268878768 2616586098460 3270732623075 3794049842767 4186537757536 5233172196920 6541465246150 7588099685534 8373075515072 10466344393840 13082930492300 15176199371068 16353663115375 16746151030144 18970249213835 20932688787680 26165860984600 30352398742136 32707326230750 33492302060288 37940498427670 41865377575360 45397768808281 52331721969200 60704797484272 65414652461500 75880996855340 83730755150720 90795537616562 94851246069175 104663443938400 121409594968544 130829304923000 151761993710680 167461510301440 181591075233124 189702492138350 209326887876800 226988844041405 242819189937088 261658609846000 303523987421360 363182150466248 379404984276700 418653775753600 453977688082810 474256230345875 485638379874176 523317219692000 607047974842720 726364300932496 758809968553400 837307551507200 907955376165620 948512460691750 971276759748352 1046634439384000 1134944220207025 1214095949685440 1316535295440149 1452728601864992 1517619937106800 1815910752331240 1897024921383500 2093268878768000 2269888440414050 2428191899370880 2633070590880298 2905457203729984 3035239874213600 3631821504662480 3794049842767000 4186537757536000 4539776880828100 4856383798741760 5266141181760596 5674721101035125 5810914407459968 6070479748427200 6582676477200745 7263643009324960 7588099685534000 9079553761656200 10532282363521192 11349442202070250 11621828814919936 12140959496854400 13165352954401490 14527286018649920 15176199371068000 18159107523312400 21064564727042384 22698884404140500 24281918993708800 26330705908802980 29054572037299840 30352398742136000 32913382386003725 36318215046624800 42129129454084768 45397768808281000 52661411817605960 58109144074599680 60704797484272000 65826764772007450 72636430093249600 84258258908169536 90795537616562000 105322823635211920 121409594968544000 131653529544014900 145272860186499200 164566911930018625 168516517816339072 181591075233124000 210645647270423840 263307059088029800 290545720372998400 329133823860037250 337033035632678144 363182150466248000 421291294540847680 526614118176059600 658267647720074500 726364300932496000 842582589081695360 1053228236352119200 1316535295440149000 1452728601864992000 1685165178163390720 2106456472704238400 2633070590880298000 4212912945408476800 5266141181760596000 8425825890816953600 10532282363521192000 21064564727042384000 42129129454084768000
- Sum of all divisors σ(n): 108880731816597336960
- Sum of proper divisors (its aliquot sum) s(n): 66751602362512568960
- 42129129454084768000 is an abundant number, because the sum of its proper divisors (66751602362512568960) is greater than itself. Its abundance is 24622472908427800960
Bases of 42129129454084768000
- Binary: 1001001000101010001011110000000111010111110010101101000001000000002
- Hexadecimal: 0x248A8BC075F2B4100
- Base-36: 8W2SA0869PMV4
Squares and roots of 42129129454084768000
- 42129129454084768000 squared (421291294540847680002) is 1774863548559032742207120529613824000000
- 42129129454084768000 cubed (421291294540847680003) is 74773456200579757190752642560173245117026400632832000000000
-
The
square root of 42129129454084768000 is 6490695606.3340983021 -
The
cube root of 42129129454084768000 is 3479585.3607712339
Scales and comparisons
How big is 42129129454084768000?- 42,129,129,454,084,768,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,129,129,454,084,768,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 42129129454084768000 cubic inches would be around 289965.4 feet tall.
Recreational maths with 42129129454084768000
- 42129129454084768000 backwards is 00086748045492192124
- The number of decimal digits it has is: 20
- The sum of 42129129454084768000's digits is 76
- More coming soon!
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