90423472128000
90,423,472,128,000 is an even composite number composed of seven prime numbers multiplied together.
90423472128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 90423472128000:
215 × 3 × 53 × 11 × 19 × 137 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 19 × 137 × 257)See below for interesting mathematical facts about the number 90423472128000 from the Numbermatics database.
Names of 90423472128000
- Cardinal: 90423472128000 can be written as Ninety trillion, four hundred twenty-three billion, four hundred seventy-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.0423472128 × 1013
Factors of 90423472128000
Divisors of 90423472128000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 95 96 100 110 114 120 125 128 132 137 150 152 160 165 176 190 192 200 209 220 228 240 250 256 257 264 274 275 285 300 304 320 330 352 375 380 384 400 411 418 440 456 475 480 500 512 514 528 548 550 570 600 608 627 640 660 685 704 750 760 768 771 800 822 825 836 880 912 950 960 1000 1024 1028 1045 1056 1096 1100 1140 1200 1216 1254 1280 1285 1320 1370 1375 1408 1425 1500 1507 1520 1536 1542 1600 1644 1650 1672 1760 1824 1900 1920 2000 2048 2055 2056 2090 2112 2192 2200 2280 2375 2400 2432 2508 2560 2570 2603 2640 2740 2750 2816 2827 2850 3000 3014 3040 3072 3084 3135 3200 3288 3300 3344 3425 3520 3648 3800 3840 3855 4000 4096 4110 4112 4125 4180 4224 4384 4400 4521 4560 4750 4800 4864 4883 5016 5120 5140 5206 5225 5280 5480 5500 5632 5654 5700 6000 6028 6080 6144 6168 6270 6400 6425 6576 6600 6688 6850 7040 7125 7296 7535 7600 7680 7710 7809 8000 8192 8220 8224 8250 8360 8448 8481 8768 8800 9042 9120 9500 9600 9728 9766 10032 10240 10275 10280 10412 10450 10560 10960 11000 11264 11308 11400 12000 12056 12160 12288 12336 12540 12800 12850 13015 13152 13200 13376 13700 14080 14135 14250 14592 14649 15070 15200 15360 15420 15618 15675 16000 16384 16440 16448 16500 16720 16896 16962 17125 17536 17600 18084 18240 19000 19200 19275 19456 19532 20064 20480 20550 20560 20824 20900 21120 21920 22000 22528 22605 22616 22800 24000 24112 24320 24415 24576 24672 25080 25600 25700 26030 26125 26304 26400 26752 27400 28160 28270 28500 28633 29184 29298 30140 30400 30720 30840 31236 31350 32000 32125 32768 32880 32896 33000 33440 33792 33924 34250 35072 35200 35209 36168 36480 37675 38000 38400 38550 38912 39045 39064 40128 40960 41100 41120 41648 41800 42240 42405 43840 44000 45056 45210 45232 45600 48000 48224 48640 48830 49152 49344 50160 51200 51375 51400 52060 52250 52608 52800 53504 53713 54800 56320 56540 57000 57266 58368 58596 60280 60800 61440 61680 62472 62700 64000 64250 65075 65760 65792 66000 66880 67584 67848 68500 70144 70400 70418 70675 72336 72960 73245 75350 76000 76800 77100 77824 78090 78128 78375 80256 81920 82200 82240 83296 83600 84480 84810 85899 87680 88000 90112 90420 90464 91200 96000 96375 96448 97280 97660 98304 98688 100320 102400 102750 102800 104120 104500 105216 105600 105627 107008 107426 109600 112640 113025 113080 114000 114532 116736 117192 120560 121600 122075 122880 123360 124944 125400 128000 128500 130150 131520 131584 132000 133760 135168 135696 137000 140288 140800 140836 141350 143165 144672 145920 146490 150700 152000 153600 154200 155648 156180 156256 156750 160512 161139 163840 164400 164480 166592 167200 168960 169620 171798 175360 176000 176045 180224 180840 180928 182400 188375 192000 192750 192896 194560 195225 195320 197376 200640 204800 205500 205600 208240 209000 210432 211200 211254 212025 214016 214852 219200 225280 226050 226160 228000 229064 233472 234384 241120 243200 244150 245760 246720 249888 250800 256000 257000 260300 263040 263168 264000 267520 268565 270336 271392 274000 280576 281600 281672 282700 286330 289344 291840 292980 301400 304000 307200 308400 311296 312360 312512 313500 321024 322278 325375 328800 328960 333184 334400 337920 339240 343596 350720 352000 352090 353375 360448 361680 361856 364800 366225 376750 384000 385500 385792 387299 389120 390450 390640 394752 401280 409600 411000 411200 416480 418000 420864 422400 422508 424050 428032 429495 429704 438400 450560 452100 452320 456000 458128 466944 468768 482240 486400 488300 491520 493440 499776 501600 512000 514000 520600 526080 526336 528000 528135 535040 537130 540672 542784 548000 561152 563200 563344 565125 565400 572660 578688 583680 585960 602800 608000 610375 614400 616800 622592 624720 625024 627000 642048 644556 650750 657600 657920 666368 668800 668971 675840 678480 687192 701440 704000 704180 706750 715825 723360 723712 729600 732450 753500 768000 771000 771584 774598 778240 780900 781280 789504 802560 805695 819200 822000 822400 832960 836000 841728 844800 845016 848100 856064 858990 859408 876800 880225 901120 904200 904640 912000 916256 933888 937536 964480 972800 976125 976600 986880 999552 1003200 1024000 1028000 1041200 1052160 1052672 1056000 1056270 1060125 1070080 1074260 1081344 1085568 1096000 1122304 1126400 1126688 1130250 1130800 1145320 1157376 1161897 1167360 1171920 1205600 1216000 1220750 1228800 1233600 1249440 1250048 1254000 1284096 1289112 1301500 1315200 1315840 1332736 1337600 1337942 1342825 1351680 1356960 1374384 1402880 1408000 1408360 1413500 1431650 1446720 1447424 1459200 1464900 1507000 1536000 1542000 1543168 1549196 1556480 1561800 1562560 1579008 1605120 1611390 1644000 1644800 1665920 1672000 1683456 1689600 1690032 1696200 1712128 1717980 1718816 1753600 1760450 1802240 1808400 1809280 1824000 1831125 1832512 1867776 1875072 1928960 1936495 1945600 1952250 1953200 1973760 1999104 2006400 2006913 2048000 2056000 2082400 2104320 2105344 2112000 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1982970880 1999104000 2000076800 2006913000 2055078912 2062579200 2132377600 2140707200 2163240960 2171136000 2199014400 2200084480 2207604300 2253376000 2314752000 2315878400 2323794000 2345615360 2354777920 2379565056 2400092160 2478713600 2500096000 2568192000 2568848640 2578224000 2640101376 2665472000 2675884000 2704051200 2740105216 2748768000 2750105600 2759505375 2814738432 2825733504 2884321280 2894848000 2932019200 2943472400 2974456320 3000115200 3086336000 3098392000 3158016000 3172753408 3198566400 3211060800 3300126720 3380064000 3425131520 3437632000 3461185536 3473817600 3518423040 3532166880 3605401600 3665024000 3679340500 3703603200 3718070400 3750144000 3767644672 3965941760 3998208000 4000153600 4013826000 4110157824 4125158400 4281414400 4326481920 4342272000 4398028800 4400168960 4415208600 4506752000 4629504000 4647588000 4691230720 4709555840 4759130112 4957427200 5000192000 5137697280 5156448000 5280202752 5330944000 5351768000 5408102400 5480210432 5497536000 5500211200 5519010750 5651467008 5768642560 5789696000 5864038400 5886944800 5948912640 6000230400 6172672000 6196784000 6345506816 6397132800 6422121600 6600253440 6760128000 6850263040 6875264000 6947635200 7036846080 7064333760 7210803200 7330048000 7358681000 7436140800 7500288000 7535289344 7931883520 7996416000 8027652000 8220315648 8250316800 8562828800 8652963840 8684544000 8796057600 8800337920 8830417200 9013504000 9259008000 9295176000 9419111680 9518260224 9914854400 10000384000 10275394560 10312896000 10661888000 10703536000 10816204800 10960420864 10995072000 11000422400 11038021500 11302934016 11579392000 11728076800 11773889600 11897825280 12000460800 12393568000 12691013632 12844243200 13200506880 13520256000 13700526080 13750528000 14073692160 14128667520 14421606400 14660096000 14717362000 14872281600 15000576000 15070578688 15863767040 15992832000 16055304000 16440631296 16500633600 17125657600 17305927680 17369088000 17592115200 17660834400 18027008000 18518016000 18590352000 18838223360 19036520448 19829708800 20000768000 20550789120 20625792000 21407072000 21632409600 21920841728 21990144000 22000844800 22076043000 22605868032 23456153600 23547779200 23795650560 24787136000 25688486400 26401013760 27040512000 27401052160 27501056000 28257335040 28843212800 29320192000 29434724000 29744563200 30001152000 30141157376 31727534080 31985664000 32110608000 32881262592 33001267200 34251315200 34738176000 35184230400 35321668800 36054016000 37180704000 37676446720 38073040896 39659417600 41101578240 41251584000 42814144000 43264819200 43980288000 44001689600 44152086000 45211736064 47095558400 47591301120 49574272000 51376972800 54081024000 54802104320 55002112000 56514670080 58640384000 58869448000 59489126400 60002304000 60282314752 63455068160 64221216000 65762525184 66002534400 68502630400 70368460800 70643337600 72108032000 74361408000 75352893440 79318835200 82203156480 82503168000 85628288000 86529638400 87960576000 88304172000 90423472128 94191116800 95182602240 99148544000 102753945600 108162048000 109604208640 110004224000 113029340160 117280768000 117738896000 118978252800 120564629504 128442432000 132005068800 137005260800 141286675200 144216064000 148722816000 150705786880 158637670400 164406312960 165006336000 171256576000 175921152000 176608344000 180846944256 188382233600 190365204480 198297088000 205507891200 216324096000 220008448000 226058680320 235477792000 237956505600 241129259008 256884864000 274010521600 282573350400 297445632000 301411573760 317275340800 328812625920 330012672000 342513152000 351842304000 353216688000 361693888512 376764467200 396594176000 411015782400 432648192000 452117360640 470955584000 475913011200 513769728000 548021043200 565146700800 594891264000 602823147520 660025344000 685026304000 706433376000 723387777024 753528934400 793188352000 822031564800 904234721280 941911168000 951826022400 1027539456000 1130293401600 1189782528000 1205646295040 1370052608000 1412866752000 1507057868800 1586376704000 1644063129600 1808469442560 1883822336000 2055078912000 2260586803200 2379565056000 2740105216000 2825733504000 3014115737600 3616938885120 3767644672000 4110157824000 4521173606400 4759130112000 5651467008000 6028231475200 7535289344000 8220315648000 9042347212800 11302934016000 15070578688000 18084694425600 22605868032000 30141157376000 45211736064000 90423472128000
- Sum of all divisors σ(n): 349436227046400
- Sum of proper divisors (its aliquot sum) s(n): 259012754918400
- 90423472128000 is an abundant number, because the sum of its proper divisors (259012754918400) is greater than itself. Its abundance is 168589282790400
Bases of 90423472128000
- Binary: 101001000111101010110101110111110000000000000002
- Hexadecimal: 0x523D5AEF8000
- Base-36: W1VYWN1MO
Squares and roots of 90423472128000
- 90423472128000 squared (904234721280002) is 8176404311683192848384000000
- 90423472128000 cubed (904234721280003) is 739338867384744213291899553841152000000000
-
The
square root of 90423472128000 is 9509125.7288985301 -
The
cube root of 90423472128000 is 44884.2245507773
Scales and comparisons
How big is 90423472128000?- 90,423,472,128,000 seconds is equal to 2,875,186 years, 37 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 90,423,472,128,000 would take you about seven million, one hundred eighty-seven thousand, nine hundred sixty-six 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 90423472128000 cubic inches would be around 3740.4 feet tall.
Recreational maths with 90423472128000
- 90423472128000 backwards is 00082127432409
- The number of decimal digits it has is: 14
- The sum of 90423472128000's digits is 42
- More coming soon!
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Cite this page
MLA style:
"Number 90423472128000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 90423472128000 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/90423472128000/
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The information we have on file for 90423472128000 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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