138061589760495360
138,061,589,760,495,360 is an even composite number composed of five prime numbers multiplied together.
138061589760495360 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138061589760495360:
28 × 33 × 5 × 292 × 416
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 29 × 29 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138061589760495360 from the Numbermatics database.
Names of 138061589760495360
- Cardinal: 138061589760495360 can be written as One hundred thirty-eight quadrillion, sixty-one trillion, five hundred eighty-nine billion, seven hundred sixty million, four hundred ninety-five thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3806158976049536 × 1017
Factors of 138061589760495360
Divisors of 138061589760495360
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 41 45 48 54 58 60 64 72 80 82 87 90 96 108 116 120 123 128 135 144 145 160 164 174 180 192 205 216 232 240 246 256 261 270 288 290 320 328 348 360 369 384 410 432 435 464 480 492 522 540 576 580 615 640 656 696 720 738 768 783 820 841 864 870 928 960 984 1044 1080 1107 1152 1160 1189 1230 1280 1305 1312 1392 1440 1476 1566 1640 1681 1682 1728 1740 1845 1856 1920 1968 2088 2160 2214 2304 2320 2378 2460 2523 2610 2624 2784 2880 2952 3132 3280 3362 3364 3456 3480 3567 3690 3712 3840 3915 3936 4176 4205 4320 4428 4640 4756 4920 5043 5046 5220 5248 5535 5568 5760 5904 5945 6264 6560 6724 6728 6912 6960 7134 7380 7424 7569 7830 7872 8352 8405 8410 8640 8856 9280 9512 9840 10086 10092 10440 10496 10701 11070 11136 11520 11808 11890 12528 12615 13120 13448 13456 13920 14268 14760 15129 15138 15660 15744 16704 16810 16820 17280 17712 17835 18560 19024 19680 20172 20184 20880 21402 22140 22272 22707 23616 23780 25056 25215 25230 26240 26896 26912 27840 28536 29520 30258 30276 31320 31488 32103 33408 33620 33640 34481 34560 35424 35670 37120 37845 38048 39360 40344 40368 41760 42804 44280 45387 45414 47232 47560 48749 50112 50430 50460 52480 53505 53792 53824 55680 57072 59040 60516 60552 62640 64206 66816 67240 67280 68921 68962 70848 71340 75645 75690 76096 78720 80688 80736 83520 85608 88560 90774 90828 94464 95120 97498 100224 100860 100920 103443 107010 107584 107648 111360 113535 114144 118080 121032 121104 125280 128412 134480 134560 137842 137924 141696 142680 146247 151290 151380 152192 157440 160515 161376 161472 167040 171216 172405 177120 181548 181656 190240 194996 200448 201720 201840 206763 206886 214020 215168 215296 226935 227070 228288 236160 242064 242208 243745 250560 256824 268960 269120 275684 275848 283392 285360 292494 302580 302760 304384 310329 321030 322752 322944 334080 342432 344605 344810 354240 363096 363312 380480 389992 403440 403680 413526 413772 428040 430336 438741 453870 454140 456576 472320 484128 484416 487490 501120 513648 517215 537920 538240 551368 551696 570720 584988 605160 605520 620289 620658 642060 645504 645888 684864 689210 689620 708480 726192 726624 731235 760960 779984 806880 807360 827052 827544 856080 877482 907740 908280 913152 930987 968256 968832 974980 1002240 1027296 1033815 1034430 1075840 1076480 1102736 1103392 1141440 1169976 1210320 1211040 1240578 1241316 1284120 1291008 1316223 1369728 1378420 1379240 1413721 1416960 1452384 1453248 1462470 1521920 1551645 1559968 1613760 1614720 1654104 1655088 1712160 1754964 1815480 1816560 1860867 1861974 1936512 1937664 1949960 1998709 2054592 2067630 2068860 2151680 2193705 2205472 2206784 2282880 2339952 2420640 2422080 2481156 2482632 2568240 2632446 2739456 2756840 2758480 2825761 2827442 2904768 2906496 2924940 3101445 3103290 3119936 3227520 3229440 3308208 3310176 3424320 3509928 3630960 3633120 3721734 3723948 3873024 3899920 3997418 4109184 4135260 4137720 4241163 4387410 4410944 4413568 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33101760 33909132 33929304 35099280 35976762 37217340 37239480 37439232 38170467 39698496 39722112 39974180 41091840 42119136 42386415 42411630 44109440 44135680 45212176 45239072 46799040 47969016 49623120 49652640 50863698 50893956 52648920 52931328 53965143 56158848 56515220 56548840 57962561 58095360 59547744 59583168 59961270 62398720 63617445 63958688 66164160 66203520 67818264 67858608 70198560 71953524 74434680 74478960 76295547 76340934 79396992 79444224 79948360 81947069 84238272 84772830 84823260 88218880 89941905 90424352 90478144 93598080 95938032 99246240 99305280 101727396 101787912 105297840 107930286 112317696 113030440 113097680 115856201 115925122 119095488 119166336 119922540 127159245 127234890 127917376 132328320 132407040 135636528 135717216 140397120 143907048 148869360 148957920 152591094 152681868 158793984 159896720 163894138 168476544 169545660 169646520 173887683 179883810 180848704 180956288 187196160 190852335 191876064 198492480 198610560 203454792 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1461525975615 1520033357120 1520937600640 1558961040656 1612718317920 1653036275868 1710037526760 1711054800720 1753831170738 1814308107660 1824040028544 1825125120768 1935261981504 1948701300820 2001995153280 2003186108160 2052045032112 2053265760864 2066295344835 2150291090560 2204048367824 2280050035680 2281406400960 2338441560984 2419077476880 2479554413802 2565056290140 2566582201080 2580349308672 2630746756107 2736060042816 2737687681152 2755060459780 2832090704640 2902892972256 2923051951230 3040066714240 3041875201280 3117922081312 3225436635840 3306072551736 3420075053520 3422109601440 3507662341476 3628616215320 3648080057088 3719331620703 3870523963008 3897402601640 3994837666681 4003990306560 4104090064224 4106531521728 4132590689670 4300582181120 4384577926845 4408096735648 4560100071360 4562812801920 4676883121968 4838154953760 4959108827604 5130112580280 5133164402160 5261493512214 5472120085632 5475375362304 5510120919560 5805785944512 5846103902460 6080133428480 6198886034505 6235844162624 6450873271680 6612145103472 6840150107040 6844219202880 7015324682952 7257232430640 7438663241406 7741047926016 7794805203280 7989675333362 8208180128448 8213063043456 8265181379340 8769155853690 8816193471296 9120200142720 9125625603840 9353766243936 9676309907520 9918217655208 10260225160560 10266328804320 10522987024428 10944240171264 11020241839120 11611571889024 11692207804920 11984513000043 12397772069010 12471688325248 12901746543360 13153733780535 13224290206944 13680300214080 13688438405760 14030649365904 14514464861280 14877326482812 15589610406560 15979350666724 16416360256896 16426126086912 16530362758680 17538311707380 17632386942592 18240400285440 18596658103515 18707532487872 19352619815040 19836435310416 19974188333405 20520450321120 20532657608640 21045974048856 22040483678240 23223143778048 23384415609840 23969026000086 24795544138020 24943376650496 26307467561070 26448580413888 27360600428160 27376876811520 28061298731808 29028929722560 29754652965624 31179220813120 31958701333448 32832720513792 33060725517360 35076623414760 35264773885184 35953539000129 37193316207030 37415064975744 38705239630080 39672870620832 39948376666810 41040900642240 41065315217280 42091948097712 44080967356480 46768831219680 47938052000172 49591088276040 52614935122140 52897160827776 54721200856320 56122597463616 58057859445120 59509305931248 59922565000215 62358441626240 63917402666896 66121451034720 70153246829520 71907078000258 74386632414060 74830129951488 79345741241664 79896753333620 82081801284480 82130630434560 84183896195424 88161934712960 93537662439360 95876104000344 99182176552080 105229870244280 105794321655552 107860617000387 112245194927232 116115718890240 119018611862496 119845130000430 124716883252480 127834805333792 132242902069440 140306493659040 143814156000516 148773264828120 158691482483328 159793506667240 164163602568960 168367792390848 176323869425920 179767695000645 187075324878720 191752208000688 198364353104160 210459740488560 215721234000774 224490389854464 238037223724992 239690260000860 255669610667584 264485804138880 280612987318080 287628312001032 297546529656240 317382964966656 319587013334480 336735584781696 359535390001290 374150649757440 383504416001376 396728706208320 420919480977120 431442468001548 476074447449984 479380520001720 511339221335168 528971608277760 539303085001935 561225974636160 575256624002064 595093059312480 639174026668960 673471169563392 719070780002580 767008832002752 793457412416640 841838961954240 862884936003096 952148894899968 958761040003440 1022678442670336 1078606170003870 1122451949272320 1150513248004128 1190186118624960 1278348053337920 1438141560005160 1534017664005504 1586914824833280 1683677923908480 1725769872006192 1917522080006880 2157212340007740 2301026496008256 2380372237249920 2556696106675840 2876283120010320 3068035328011008 3367355847816960 3451539744012384 3835044160013760 4314424680015480 4602052992016512 4760744474499840 5113392213351680 5752566240020640 6903079488024768 7670088320027520 8628849360030960 9204105984033024 11505132480041280 13806158976049536 15340176640055040 17257698720061920 23010264960082560 27612317952099072 34515397440123840 46020529920165120 69030794880247680 138061589760495360
- Sum of all divisors σ(n): 520088561836705680
- Sum of proper divisors (its aliquot sum) s(n): 382026972076210320
- 138061589760495360 is an abundant number, because the sum of its proper divisors (382026972076210320) is greater than itself. Its abundance is 243965382315714960
Bases of 138061589760495360
- Binary: 1111010100111111001001000110011101100110011001111000000002
- Hexadecimal: 0x1EA7E48CECCCF00
- Base-36: 11REQYQYSAO0
Squares and roots of 138061589760495360
- 138061589760495360 squared (1380615897604953602) is 19061002567195317235807272581529600
- 138061589760495360 cubed (1380615897604953603) is 2631592316855868780234766721921565279042882502656000
-
The
square root of 138061589760495360 is 371566400.2039142395 -
The
cube root of 138061589760495360 is 516841.7916476263 - Being both a perfect square and a perfect cube, 138061589760495360 is also a
perfect sixth number .
Scales and comparisons
How big is 138061589760495360?- 138,061,589,760,495,360 seconds is equal to 4,389,931,501 years, 44 weeks, 9 hours, 36 minutes.
-
To count from 1 to 138,061,589,760,495,360 would take you about thirteen billion, one hundred sixty-nine million, seven hundred ninety-four thousand, five hundred five 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 138061589760495360 cubic inches would be around 43070.1 feet tall.
Recreational maths with 138061589760495360
- 138061589760495360 backwards is 063594067985160831
- The number of decimal digits it has is: 18
- The sum of 138061589760495360's digits is 81
- More coming soon!
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"Number 138061589760495360 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138061589760495360 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138061589760495360/
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The information we have on file for 138061589760495360 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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