40146455485440
40,146,455,485,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 40146455485440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
40146455485440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 40146455485440:
210 × 33 × 5 × 103 × 127 × 1492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 103 × 127 × 149 × 149)See below for interesting mathematical facts about the number 40146455485440 from the Numbermatics database.
Names of 40146455485440
- Cardinal: 40146455485440 can be written as Forty trillion, one hundred forty-six billion, four hundred fifty-five million, four hundred eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.014645548544 × 1013
Factors of 40146455485440
Divisors of 40146455485440
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 103 108 120 127 128 135 144 149 160 180 192 206 216 240 254 256 270 288 298 309 320 360 381 384 412 432 447 480 508 512 515 540 576 596 618 635 640 720 745 762 768 824 864 894 927 960 1016 1024 1030 1080 1143 1152 1192 1236 1270 1280 1341 1440 1490 1524 1536 1545 1648 1728 1788 1854 1905 1920 2032 2060 2160 2235 2286 2304 2384 2472 2540 2560 2682 2781 2880 2980 3048 3072 3090 3296 3429 3456 3576 3708 3810 3840 4023 4064 4120 4320 4470 4572 4608 4635 4768 4944 5080 5120 5364 5562 5715 5760 5960 6096 6180 6592 6705 6858 6912 7152 7416 7620 7680 8046 8128 8240 8640 8940 9144 9216 9270 9536 9888 10160 10728 11124 11430 11520 11920 12192 12360 13081 13184 13410 13716 13824 13905 14304 14832 15240 15347 15360 16092 16256 16480 17145 17280 17880 18288 18540 18923 19072 19776 20115 20320 21456 22201 22248 22860 23040 23840 24384 24720 26162 26368 26820 27432 27648 27810 28608 29664 30480 30694 32184 32512 32960 34290 34560 35760 36576 37080 37846 38144 39243 39552 40230 40640 42912 44402 44496 45720 46041 46080 47680 48768 49440 52324 52736 53640 54864 55620 56769 57216 59328 60960 61388 64368 65024 65405 65920 66603 68580 69120 71520 73152 74160 75692 76288 76735 78486 79104 80460 81280 85824 88804 88992 91440 92082 94615 95360 97536 98880 104648 105472 107280 109728 111005 111240 113538 114432 117729 118656 121920 122776 128736 130048 130810 131840 133206 137160 138123 138240 143040 146304 148320 151384 152576 153470 156972 158208 160920 162560 170307 171648 177608 177984 182880 184164 189230 190720 195072 196215 197760 199809 209296 214560 219456 222010 222480 227076 228864 230205 235458 237312 243840 245552 257472 261620 263680 266412 274320 276246 283845 286080 292608 296640 302768 306940 313944 316416 321840 325120 333015 340614 343296 353187 355216 355968 365760 368328 378460 381440 390144 392430 395520 399618 414369 418592 429120 438912 444020 444960 454152 457728 460410 470916 474624 487680 491104 510921 514944 523240 527360 532824 548640 552492 567690 572160 585216 588645 593280 599427 605536 613880 627888 643680 650240 666030 681228 686592 690615 706374 710432 711936 731520 736656 756920 762880 784860 791040 799236 828738 837184 851535 858240 877824 888040 889920 908304 920820 941832 949248 975360 982208 999045 1021842 1029888 1046480 1065648 1097280 1104984 1135380 1144320 1170432 1177290 1186560 1198854 1211072 1227760 1255776 1287360 1332060 1362456 1373184 1381230 1412748 1420864 1423872 1463040 1473312 1513840 1569720 1582080 1598472 1657476 1674368 1703070 1716480 1755648 1765935 1776080 1779840 1816608 1841640 1883664 1949069 1950720 1964416 1998090 2043684 2059776 2071845 2092960 2131296 2194560 2209968 2270760 2286703 2288640 2354580 2373120 2397708 2422144 2455520 2511552 2554605 2574720 2664120 2724912 2762460 2819527 2825496 2841728 2847744 2926080 2946624 2997135 3027680 3139440 3196944 3314952 3348736 3406140 3432960 3511296 3531870 3552160 3559680 3633216 3683280 3767328 3898138 3928832 3996180 4087368 4119552 4143690 4185920 4262592 4389120 4419936 4541520 4573406 4709160 4746240 4795416 4844288 4911040 5023104 5109210 5149440 5328240 5449824 5524920 5639054 5650992 5683456 5847207 5852160 5893248 5994270 6055360 6278880 6393888 6629904 6697472 6812280 6860109 6865920 7063740 7104320 7119360 7266432 7366560 7534656 7796276 7857664 7992360 8174736 8287380 8371840 8458581 8525184 8778240 8839872 9083040 9146812 9418320 9590832 9688576 9745345 9822080 10046208 10218420 10298880 10656480 10899648 11049840 11278108 11301984 11366912 11433515 11694414 11786496 11988540 12110720 12557760 12787776 13259808 13394944 13624560 13720218 14097635 14127480 14208640 14238720 14532864 14733120 15069312 15592552 15715328 15984720 16349472 16574760 16743680 16917162 17050368 17541621 17556480 17679744 18166080 18293624 18836640 19181664 19377152 19490690 19644160 20092416 20436840 20580327 20597760 21312960 21799296 22099680 22556216 22603968 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124740416 126878715 127877760 130795776 132598080 135337296 137202180 140332968 141437952 145328640 146348992 150693120 152254458 153453312 155925520 163494720 164642616 169171620 170503680 174394368 175416210 176797440 180449728 180831744 182936240 187110624 191816640 200924160 203005944 204604416 205803270 210499452 212156928 217992960 219523488 225562160 226039680 233888280 235729920 246963924 249480832 253757430 255755520 261591552 263124315 265196160 270674592 274404360 280665936 290411281 290657280 292697984 301386240 304508916 306906624 308704905 311851040 326989440 329285232 338343240 341007360 350832420 353594880 360899456 361663488 365872480 374221248 380636145 383633280 406011888 411606540 420998904 424313856 435985920 439046976 451124320 452079360 467776560 493927848 498961664 507514860 511511040 523183104 526248630 530392320 541349184 548808720 561331872 580822562 585395968 602772480 609017832 613813248 617409810 623702080 653978880 658570464 676686480 701664840 707189760 721798912 731744960 748442496 761272290 767266560 812023776 823213080 841997808 871233843 871971840 878093952 902248640 904158720 935553120 987855696 997923328 1015029720 1023022080 1052497260 1060784640 1082698368 1097617440 1122663744 1161645124 1170791936 1218035664 1234819620 1247404160 1307957760 1317140928 1353372960 1403329680 1443597824 1452056405 1463489920 1496884992 1522544580 1534533120 1624047552 1646426160 1683995616 1742467686 1756187904 1804497280 1808317440 1871106240 1975711392 1995846656 2030059440 2104994520 2121569280 2165396736 2195234880 2245327488 2323290248 2341583872 2436071328 2469639240 2494808320 2613701529 2615915520 2634281856 2706745920 2806659360 2887195648 2904112810 2926979840 2993769984 3045089160 3069066240 3248095104 3292852320 3367991232 3484935372 3512375808 3608994560 3742212480 3951422784 4060118880 4209989040 4330793472 4356169215 4390469760 4490654976 4646580496 4872142656 4939278480 4989616640 5227403058 5268563712 5413491840 5613318720 5808225620 5853959680 5987539968 6090178320 6496190208 6585704640 6735982464 6969870744 7024751616 7217989120 7484424960 7841104587 7902845568 8120237760 8419978080 8661586944 8712338430 8780939520 8981309952 9293160992 9744285312 9878556960 9979233280 10454806116 10537127424 10826983680 11226637440 11616451240 11707919360 12180356640 12992380416 13068507645 13171409280 13471964928 13939741488 14435978240 14968849920 15682209174 15805691136 16240475520 16839956160 17424676860 17561879040 17962619904 18586321984 19488570624 19757113920 20909612232 21074254848 21653967360 22453274880 23232902480 24360713280 25984760832 26137015290 26342818560 26943929856 27879482976 29937699840 31364418348 31611382272 32480951040 33679912320 34849353720 35123758080 37172643968 38977141248 39205522935 39514227840 41819224464 43307934720 44906549760 46465804960 48721426560 52274030580 52685637120 53887859712 55758965952 62728836696 63222764544 64961902080 67359824640 69698707440 74345287936 77954282496 78411045870 79028455680 83638448928 89813099520 92931609920 97442853120 104548061160 105371274240 111517931904 125457673392 129923804160 134719649280 139397414880 148690575872 156822091740 158056911360 167276897856 185863219840 194885706240 209096122320 223035863808 250915346784 269439298560 278794829760 297381151744 313644183480 316113822720 334553795712 371726439680 389771412480 418192244640 446071727616 501830693568 557589659520 627288366960 669107591424 743452879360 836384489280 892143455232 1003661387136 1115179319040 1254576733920 1338215182848 1486905758720 1672768978560 2007322774272 2230358638080 2509153467840 2676430365696 3345537957120 4014645548544 4460717276160 5018306935680 6691075914240 8029291097088 10036613871360 13382151828480 20073227742720 40146455485440
- Sum of all divisors σ(n): 146173737615360
- Sum of proper divisors (its aliquot sum) s(n): 106027282129920
- 40146455485440 is an abundant number, because the sum of its proper divisors (106027282129920) is greater than itself. Its abundance is 65880826644480
Bases of 40146455485440
- Binary: 10010010000011010100110011011111011100000000002
- Hexadecimal: 0x24835337DC00
- Base-36: E8B0Z1MO0
Squares and roots of 40146455485440
- 40146455485440 squared (401464554854402) is 1611737888044415466051993600
- 40146455485440 cubed (401464554854403) is 64705563376572203881441432562967773184000
-
The
square root of 40146455485440 is 6336123.0642594057 -
The
cube root of 40146455485440 is 34241.2073219729
Scales and comparisons
How big is 40146455485440?- 40,146,455,485,440 seconds is equal to 1,276,533 years, 5 weeks, 2 days, 14 hours, 24 minutes.
-
To count from 1 to 40,146,455,485,440 would take you about three million, one hundred ninety-one thousand, three hundred thirty-two 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 40146455485440 cubic inches would be around 2853.4 feet tall.
Recreational maths with 40146455485440
- 40146455485440 backwards is 04458455464104
- 40146455485440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40146455485440's digits is 54
- More coming soon!
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The information we have on file for 40146455485440 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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