401985212968128000
401,985,212,968,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 401985212968128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
401985212968128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 401985212968128000:
29 × 3 × 53 × 232 × 532 × 11872
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 23 × 53 × 53 × 1187 × 1187)See below for interesting mathematical facts about the number 401985212968128000 from the Numbermatics database.
Names of 401985212968128000
- Cardinal: 401985212968128000 can be written as Four hundred one quadrillion, nine hundred eighty-five trillion, two hundred twelve billion, nine hundred sixty-eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.01985212968128 × 1017
Factors of 401985212968128000
Divisors of 401985212968128000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 53 60 64 69 75 80 92 96 100 106 115 120 125 128 138 150 159 160 184 192 200 212 230 240 250 256 265 276 300 318 320 345 368 375 384 400 424 460 480 500 512 529 530 552 575 600 636 640 690 736 750 768 795 800 848 920 960 1000 1058 1060 1104 1150 1187 1200 1219 1272 1280 1325 1380 1472 1500 1536 1587 1590 1600 1696 1725 1840 1920 2000 2116 2120 2208 2300 2374 2400 2438 2544 2560 2645 2650 2760 2809 2875 2944 3000 3174 3180 3200 3392 3450 3561 3657 3680 3840 3975 4000 4232 4240 4416 4600 4748 4800 4876 5088 5290 5300 5520 5618 5750 5888 5935 6000 6095 6348 6360 6400 6625 6784 6900 7122 7314 7360 7680 7935 7950 8000 8427 8464 8480 8625 8832 9200 9496 9600 9752 10176 10580 10600 11040 11236 11500 11776 11870 12000 12190 12696 12720 12800 13225 13250 13568 13800 14045 14244 14628 14720 15870 15900 16000 16854 16928 16960 17250 17664 17805 18285 18400 18992 19200 19504 19875 20352 21160 21200 22080 22472 23000 23740 24000 24380 25392 25440 26450 26500 27136 27301 27600 28037 28090 28488 29256 29440 29675 30475 31740 31800 32000 33708 33856 33920 34500 35328 35610 36570 36800 37984 38400 39008 39675 39750 40704 42135 42320 42400 44160 44944 46000 47480 48000 48760 50784 50880 52900 53000 54602 55200 56074 56180 56976 58512 58880 59350 60950 62911 63480 63600 64000 64607 66125 67416 67712 67840 69000 70225 71220 73140 73600 75968 78016 79350 79500 81408 81903 84111 84270 84640 84800 88320 89025 89888 91425 92000 94960 96000 97520 101568 101760 105800 106000 109204 110400 112148 112360 113952 117024 118700 121900 125822 126960 127200 129214 132250 134832 135424 135680 136505 138000 140185 140450 142440 146280 147200 148375 151936 152375 156032 158700 159000 163806 168222 168540 169280 169600 176640 178050 179776 182850 184000 188733 189920 192000 193821 195040 198375 203136 203520 210675 211600 212000 218408 220800 224296 224720 227904 234048 237400 243800 251644 253920 254400 258428 264500 269664 270848 273010 276000 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69910471820544 71553081696000 72823408146400 75846266597760 75989643283200 79006527706000 82441594128000 83746919368360 84664113936000 87388089775680 91029260183000 94807833247200 94987054104000 100496303242032 101128355463680 104683649210450 109235112219600 109922125504000 112885485248000 116517453034240 118509791559000 125620379052540 126410444329600 126649405472000 133995070989376 136543890274500 139820943641088 143106163392000 145646816292800 151692533195520 151979286566400 157025473815675 158013055412000 164883188256000 167493838736720 169328227872000 174776179551360 182058520366000 189615666494400 189974108208000 200992606484064 209367298420900 218470224439200 233034906068480 237019583118000 251240758105080 252820888659200 253298810944000 261709123026125 267990141978752 273087780549000 291293632585600 303385066391040 314050947631350 316026110824000 329766376512000 334987677473440 338656455744000 349552359102720 364117040732000 379231332988800 379948216416000 401985212968128 418734596841800 436940448878400 474039166236000 502481516210160 505641777318400 523418246052250 535980283957504 546175561098000 582587265171200 628101895262700 632052221648000 669975354946880 699104718205440 728234081464000 758462665977600 759896432832000 785127369078375 803970425936256 837469193683600 873880897756800 948078332472000 1004963032420320 1046836492104500 1071960567915008 1092351122196000 1165174530342400 1256203790525400 1264104443296000 1339950709893760 1456468162928000 1516925331955200 1570254738156750 1607940851872512 1674938387367200 1747761795513600 1896156664944000 2009926064840640 2093672984209000 2184702244392000 2512407581050800 2528208886592000 2679901419787520 2912936325856000 3140509476313500 3215881703745024 3349876774734400 3495523591027200 3792313329888000 4019852129681280 4187345968418000 4369404488784000 5024815162101600 5359802839575040 5825872651712000 6281018952627000 6699753549468800 7584626659776000 8039704259362560 8374691936836000 8738808977568000 10049630324203200 12562037905254000 13399507098937600 16079408518725120 16749383873672000 17477617955136000 20099260648406400 25124075810508000 26799014197875200 33498767747344000 40198521296812800 50248151621016000 66997535494688000 80397042593625600 100496303242032000 133995070989376000 200992606484064000 401985212968128000
- Sum of all divisors σ(n): 1425194607014274096
- Sum of proper divisors (its aliquot sum) s(n): 1023209394046146096
- 401985212968128000 is an abundant number, because the sum of its proper divisors (1023209394046146096) is greater than itself. Its abundance is 621224181078018096
Bases of 401985212968128000
- Binary: 101100101000010001101101011110111111110110011001110000000002
- Hexadecimal: 0x594236BDFECCE00
- Base-36: 31Y3V5G2LEDC
Squares and roots of 401985212968128000
- 401985212968128000 squared (4019852129681280002) is 161592111445031223583543824384000000
- 401985212968128000 cubed (4019852129681280003) is 64957639333200350427905452381782125021233152000000000
-
The
square root of 401985212968128000 is 634023038.1998180987 -
The
cube root of 401985212968128000 is 738023.2199224965
Scales and comparisons
How big is 401985212968128000?- 401,985,212,968,128,000 seconds is equal to 12,781,886,350 years, 25 weeks, 13 hours, 20 minutes.
-
To count from 1 to 401,985,212,968,128,000 would take you about thirty-eight billion, three hundred forty-five million, six hundred fifty-nine thousand and fifty-one 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 401985212968128000 cubic inches would be around 61501.9 feet tall.
Recreational maths with 401985212968128000
- 401985212968128000 backwards is 000821869212589104
- The number of decimal digits it has is: 18
- The sum of 401985212968128000's digits is 66
- More coming soon!
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"Number 401985212968128000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 401985212968128000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/401985212968128000/
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The information we have on file for 401985212968128000 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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