138301232509440
138,301,232,509,440 is an even composite number composed of seven prime numbers multiplied together.
138301232509440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138301232509440:
29 × 33 × 5 × 7 × 112 × 13 × 181717
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 13 × 181717)See below for interesting mathematical facts about the number 138301232509440 from the Numbermatics database.
Names of 138301232509440
- Cardinal: 138301232509440 can be written as One hundred thirty-eight trillion, three hundred one billion, two hundred thirty-two million, five hundred nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3830123250944 × 1014
Factors of 138301232509440
Divisors of 138301232509440
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 52 54 55 56 60 63 64 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 108 110 112 117 120 121 126 128 130 132 135 140 143 144 154 156 160 165 168 176 180 182 189 192 195 198 208 210 216 220 224 231 234 240 242 252 256 260 264 270 273 280 286 288 297 308 312 315 320 330 336 351 352 360 363 364 378 384 385 390 396 416 420 429 432 440 448 455 462 468 480 484 495 504 512 520 528 540 546 560 572 576 585 594 605 616 624 630 640 660 672 693 702 704 715 720 726 728 756 768 770 780 792 819 832 840 847 858 864 880 896 910 924 936 945 960 968 990 1001 1008 1040 1056 1080 1089 1092 1120 1144 1152 1155 1170 1188 1210 1232 1248 1260 1280 1287 1320 1344 1365 1386 1404 1408 1430 1440 1452 1456 1485 1512 1536 1540 1560 1573 1584 1638 1664 1680 1694 1716 1728 1755 1760 1792 1815 1820 1848 1872 1890 1920 1936 1980 2002 2016 2079 2080 2112 2145 2160 2178 2184 2240 2288 2304 2310 2340 2376 2420 2457 2464 2496 2520 2541 2560 2574 2640 2688 2730 2772 2808 2816 2860 2880 2904 2912 2970 3003 3024 3080 3120 3146 3168 3267 3276 3328 3360 3388 3432 3456 3465 3510 3520 3584 3630 3640 3696 3744 3780 3840 3861 3872 3960 4004 4032 4095 4158 4160 4224 4235 4290 4320 4356 4368 4480 4576 4608 4620 4680 4719 4752 4840 4914 4928 4992 5005 5040 5082 5148 5280 5376 5445 5460 5544 5616 5632 5720 5760 5808 5824 5940 6006 6048 6160 6240 6292 6336 6435 6534 6552 6656 6720 6776 6864 6912 6930 7020 7040 7260 7280 7392 7488 7560 7623 7680 7722 7744 7865 7920 8008 8064 8190 8316 8320 8448 8470 8580 8640 8712 8736 8960 9009 9152 9240 9360 9438 9504 9680 9828 9856 9984 10010 10080 10164 10296 10395 10560 10752 10890 10920 11011 11088 11232 11440 11520 11616 11648 11880 12012 12096 12285 12320 12480 12584 12672 12705 12870 13068 13104 13440 13552 13728 13824 13860 14040 14080 14157 14520 14560 14784 14976 15015 15120 15246 15444 15488 15730 15840 16016 16128 16335 16380 16632 16640 16896 16940 17160 17280 17424 17472 17920 18018 18304 18480 18720 18876 19008 19305 19360 19656 19712 19968 20020 20160 20328 20592 20790 21120 21780 21840 22022 22176 22464 22869 22880 23040 23232 23296 23595 23760 24024 24192 24570 24640 24960 25168 25344 25410 25740 26136 26208 26880 27027 27104 27456 27720 28080 28160 28314 29040 29120 29568 29952 30030 30240 30492 30888 30976 31460 31680 32032 32256 32670 32760 33033 33264 33280 33880 34320 34560 34848 34944 36036 36608 36960 37440 37752 38016 38115 38610 38720 39312 39424 40040 40320 40656 41184 41580 42240 42471 43560 43680 44044 44352 44928 45045 45738 45760 46464 46592 47190 47520 48048 48384 49140 49280 49920 50336 50688 50820 51480 52272 52416 53760 54054 54208 54912 55055 55440 56160 56628 58080 58240 59136 59904 60060 60480 60984 61776 61952 62920 63360 64064 65340 65520 66066 66528 67760 68640 69120 69696 69888 70785 72072 73216 73920 74880 75504 76032 76230 77220 77440 78624 80080 80640 81312 82368 83160 84480 84942 87120 87360 88088 88704 89856 90090 91476 91520 92928 94380 95040 96096 96768 98280 98560 99099 99840 100672 101640 102960 104544 104832 108108 108416 109824 110110 110880 112320 113256 114345 116160 116480 118272 120120 120960 121968 123552 125840 126720 128128 130680 131040 132132 133056 135135 135520 137280 139392 139776 141570 144144 147840 149760 151008 152064 152460 154440 154880 157248 160160 161280 162624 164736 165165 166320 169884 174240 174720 176176 177408 179712 180180 181717 182952 183040 185856 188760 190080 192192 196560 197120 198198 201344 203280 205920 209088 209664 212355 216216 216832 219648 220220 221760 224640 226512 228690 232320 232960 240240 241920 243936 247104 251680 253440 256256 261360 262080 264264 266112 270270 271040 274560 278784 283140 288288 295680 297297 299520 302016 304920 308880 309760 314496 320320 325248 329472 330330 332640 339768 348480 349440 352352 354816 360360 363434 365904 366080 377520 380160 384384 393120 396396 402688 406560 411840 418176 419328 424710 432432 433664 440440 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3256368640 3274176906 3326147968 3358130160 3401742240 3430090092 3454076736 3508046685 3518041120 3571829352 3582005504 3628525056 3637974340 3663414720 3693943176 3741916464 3777896430 3837863040 3957796260 3968699280 4001771774 4029756192 4082090688 4155686073 4157684960 4186759680 4221649344 4233279232 4287612615 4317595920 4365569208 4396097664 4464786690 4477506880 4535656320 4573453456 4605435648 4617428970 4677395580 4749355512 4762439136 4884552960 4911265359 4925257568 4989221952 5037195240 5102613360 5117150720 5145135138 5277061680 5291599040 5373008256 5442787584 5456961510 5495122080 5540914764 5612874696 5628865792 5716816820 5756794560 5820758944 5861463552 5936694390 5953048920 6002657661 6044634288 6047541760 6156571960 6236527440 6280139520 6332474016 6349918848 6548353812 6652295936 6716260320 6803484480 6860180184 6908153472 6926143455 7016093370 7036082240 7143658704 7164011008 7275948680 7326829440 7387886352 7483832928 7555792860 7675726080 7717702707 7915592520 7937398560 8003543548 8059512384 8164181376 8185442265 8311372146 8315369920 8443298688 8466558464 8575225230 8635191840 8731138416 8792195328 8929573380 8955013760 9071312640 9146906912 9210871296 9234857940 9354791160 9498711024 9524878272 9769105920 9822530718 9850515136 9978443904 10004429435 10074390480 10205226720 10290270276 10554123360 10583198080 10746016512 10885575168 10913923020 10990244160 11081829528 11225749392 11257731584 11433633640 11513589120 11641517888 11873388780 11906097840 12005315322 12089268576 12313143920 12473054880 12560279040 12664948032 12699837696 12862837845 13096707624 13304591872 13432520640 13606968960 13720360368 13816306944 13852286910 14032186740 14072164480 14287317408 14551897360 14653658880 14775772704 14967665856 15111585720 15351452160 15435405414 15831185040 15874797120 16007087096 16119024768 16328362752 16370884530 16622744292 16630739840 16886597376 17150450460 17270383680 17462276832 17584390656 17859146760 17910027520 18007972983 18142625280 18293813824 18469715880 18709582320 18997422048 19049756544 19645061436 19701030272 19956887808 20008858870 20148780960 20410453440 20580540552 20778430365 21108246720 21166396160 21492033024 21827846040 21980488320 22163659056 22451498784 22867267280 23027178240 23283035776 23746777560 23812195680 24010630644 24178537152 24556326795 24626287840 24946109760 25329896064 25399675392 25725675690 26193415248 26865041280 27213937920 27440720736 27632613888 27704573820 28064373480 28144328960 28574634816 29103794720 29307317760 29551545408 29935331712 30013288305 30223171440 30870810828 31662370080 31749594240 32014174192 32238049536 32656725504 32741769060 33245488584 33261479680 33773194752 34300900920 34540767360 34924553664 35718293520 35820055040 36015945966 36587627648 36939431760 37419164640 37994844096 38099513088 38588513535 39290122872 39402060544 39913775616 40017717740 40297561920 40820906880 41161081104 41556860730 42216493440 42332792320 43655692080 43960976640 44327318112 44902997568 45734534560 46054356480 46566071552 47493555120 47624391360 48021261288 48357074304 49112653590 49252575680 49892219520 50659792128 51451351380 52386830496 53730082560 54023918949 54427875840 54881441472 55409147640 56128746960 56288657920 57149269632 58207589440 59103090816 59870663424 60026576610 60446342880 61741621656 63324740160 63499188480 64028348384 64476099072 65483538120 66490977168 66522959360 68601801840 69081534720 69849107328 71436587040 72031891932 73175255296 73878863520 74838329280 75989688192 76199026176 77177027070 78580245744 78804121088 80035435480 80595123840 81641813760 82322162208 83113721460 84432986880 87311384160 87921953280 88654636224 89805995136 90039864915 91469069120 93132143104 94987110240 95248782720 96042522576 96714148608 98225307180 98505151360 99784439040 101319584256 102902702760 104773660992 107460165120 108047837898 109762882944 110818295280 112257493920 114298539264 116415178880 118206181632 119741326848 120053153220 120892685760 123483243312 126649480320 126998376960 128056696768 130967076240 132981954336 137203603680 138163069440 139698214656 142873174080 144063783864 146350510592 147757727040 149676658560 151979376384 154354054140 157160491488 160070870960 161190247680 163283627520 164644324416 166227442920 168865973760 174622768320 177309272448 179611990272 180079729830 182938138240 189974220480 190497565440 192085045152 193428297216 196450614360 197010302720 199568878080 205805405520 209547321984 216095675796 219525765888 221636590560 224514987840 228597078528 232830357760 236412363264 240106306440 241785371520 246966486624 253298960640 256113393536 261934152480 265963908672 270119594745 274407207360 279396429312 285746348160 288127567728 295515454080 299353317120 303958752768 308708108280 314320982976 320141741920 322380495360 329288648832 332454885840 349245536640 354618544896 359223980544 360159459660 365876276480 379948440960 380995130880 384170090304 392901228720 394020605440 411610811040 419094643968 432191351592 439051531776 443273181120 449029975680 465660715520 480212612880 483570743040 493932973248 506597921280 512226787072 523868304960 531927817344 540239189490 548814414720 571492696320 576255135456 591030908160 598706634240 617416216560 628641965952 640283483840 658577297664 664909771680 698491073280 709237089792 720318919320 731752552960 759896881920 768340180608 785802457440 823221622080 838189287936 864382703184 886546362240 898059951360 960425225760 967141486080 987865946496 1024453574144 1047736609920 1063855634688 1080478378980 1097628829440 1142985392640 1152510270912 1182061816320 1234832433120 1257283931904 1280566967680 1317154595328 1329819543360 1396982146560 1440637838640 1519793763840 1536680361216 1571604914880 1646443244160 1728765406368 1773092724480 1796119902720 1920850451520 1975731892992 2095473219840 2127711269376 2160956757960 2195257658880 2305020541824 2469664866240 2514567863808 2561133935360 2659639086720 2881275677280 3073360722432 3143209829760 3292886488320 3457530812736 3546185448960 3841700903040 3951463785984 4190946439680 4321913515920 4610041083648 4939329732480 5122267870720 5319278173440 5762551354560 6286419659520 6585772976640 6915061625472 7683401806080 8643827031840 9220082167296 9878659464960 10638556346880 11525102709120 12572839319040 13830123250944 15366803612160 17287654063680 19757318929920 23050205418240 27660246501888 34575308127360 46100410836480 69150616254720 138301232509440
- Sum of all divisors σ(n): 664591048450560
- Sum of proper divisors (its aliquot sum) s(n): 526289815941120
- 138301232509440 is an abundant number, because the sum of its proper divisors (526289815941120) is greater than itself. Its abundance is 387988583431680
Bases of 138301232509440
- Binary: 111110111001000110000111101010111110010000000002
- Hexadecimal: 0x7DC8C3D5F200
- Base-36: 1D0UPJ05C0
Squares and roots of 138301232509440
- 138301232509440 squared (1383012325094402) is 19127230913630183519689113600
- 138301232509440 cubed (1383012325094403) is 2645319609847716489798861360138377232384000
-
The
square root of 138301232509440 is 11760154.4424144363 -
The
cube root of 138301232509440 is 51714.0657765853
Scales and comparisons
How big is 138301232509440?- 138,301,232,509,440 seconds is equal to 4,397,551 years, 20 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,301,232,509,440 would take you about ten million, nine hundred ninety-three thousand, eight hundred seventy-eight 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 138301232509440 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138301232509440
- 138301232509440 backwards is 044905232103831
- 138301232509440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138301232509440's digits is 45
- More coming soon!
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"Number 138301232509440 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138301232509440 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138301232509440/
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The information we have on file for 138301232509440 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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