138123342249984
138,123,342,249,984 is an even composite number composed of five prime numbers multiplied together.
138123342249984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred four divisors.
Prime factorization of 138123342249984:
222 × 33 × 7 × 132 × 1031
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 1031)See below for interesting mathematical facts about the number 138123342249984 from the Numbermatics database.
Names of 138123342249984
- Cardinal: 138123342249984 can be written as One hundred thirty-eight trillion, one hundred twenty-three billion, three hundred forty-two million, two hundred forty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38123342249984 × 1014
Factors of 138123342249984
Divisors of 138123342249984
- Number of divisors d(n): 1104
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 169 182 189 192 208 216 224 234 252 256 273 288 312 336 338 351 364 378 384 416 432 448 468 504 507 512 546 576 624 672 676 702 728 756 768 819 832 864 896 936 1008 1014 1024 1031 1092 1152 1183 1248 1344 1352 1404 1456 1512 1521 1536 1638 1664 1728 1792 1872 2016 2028 2048 2062 2184 2304 2366 2457 2496 2688 2704 2808 2912 3024 3042 3072 3093 3276 3328 3456 3549 3584 3744 4032 4056 4096 4124 4368 4563 4608 4732 4914 4992 5376 5408 5616 5824 6048 6084 6144 6186 6552 6656 6912 7098 7168 7217 7488 8064 8112 8192 8248 8736 9126 9216 9279 9464 9828 9984 10647 10752 10816 11232 11648 12096 12168 12288 12372 13104 13312 13403 13824 14196 14336 14434 14976 16128 16224 16384 16496 17472 18252 18432 18558 18928 19656 19968 21294 21504 21632 21651 22464 23296 24192 24336 24576 24744 26208 26624 26806 27648 27837 28392 28672 28868 29952 31941 32256 32448 32768 32992 34944 36504 36864 37116 37856 39312 39936 40209 42588 43008 43264 43302 44928 46592 48384 48672 49152 49488 52416 53248 53612 55296 55674 56784 57344 57736 59904 63882 64512 64896 64953 65536 65984 69888 73008 73728 74232 75712 78624 79872 80418 85176 86016 86528 86604 89856 93184 93821 96768 97344 98304 98976 104832 106496 107224 110592 111348 113568 114688 115472 119808 120627 127764 129024 129792 129906 131072 131968 139776 146016 147456 148464 151424 157248 159744 160836 170352 172032 173056 173208 174239 179712 186368 187642 193536 194688 194859 196608 197952 209664 212992 214448 221184 222696 227136 229376 230944 239616 241254 255528 258048 259584 259812 262144 263936 279552 281463 292032 294912 296928 302848 314496 319488 321672 340704 344064 346112 346416 348478 359424 361881 372736 375284 387072 389376 389718 393216 395904 419328 425984 428896 442368 445392 454272 458752 461888 479232 482508 511056 516096 519168 519624 522717 524288 527872 559104 562926 584064 589824 593856 605696 628992 638976 643344 681408 688128 692224 692832 696956 718848 723762 745472 750568 774144 778752 779436 786432 791808 838656 844389 851968 857792 884736 890784 908544 917504 923776 958464 965016 1022112 1032192 1038336 1039248 1045434 1048576 1055744 1118208 1125852 1168128 1179648 1187712 1211392 1219673 1257984 1277952 1286688 1362816 1376256 1384448 1385664 1393912 1437696 1447524 1490944 1501136 1548288 1557504 1558872 1568151 1572864 1583616 1677312 1688778 1703936 1715584 1769472 1781568 1817088 1835008 1847552 1916928 1930032 2044224 2064384 2076672 2078496 2090868 2097152 2111488 2236416 2251704 2336256 2359296 2375424 2422784 2439346 2515968 2533167 2555904 2573376 2725632 2752512 2768896 2771328 2787824 2875392 2895048 2981888 3002272 3096576 3115008 3117744 3136302 3145728 3167232 3354624 3377556 3407872 3431168 3538944 3563136 3634176 3659019 3670016 3695104 3833856 3860064 4088448 4128768 4153344 4156992 4181736 4194304 4222976 4472832 4503408 4672512 4704453 4718592 4750848 4845568 4878692 5031936 5066334 5111808 5146752 5451264 5505024 5537792 5542656 5575648 5750784 5790096 5963776 6004544 6193152 6230016 6235488 6272604 6291456 6334464 6709248 6755112 6815744 6862336 7077888 7126272 7268352 7318038 7340032 7390208 7667712 7720128 8176896 8257536 8306688 8313984 8363472 8445952 8945664 9006816 9345024 9408906 9437184 9501696 9691136 9757384 10063872 10132668 10223616 10293504 10902528 10977057 11010048 11075584 11085312 11151296 11501568 11580192 11927552 12009088 12386304 12460032 12470976 12545208 12582912 12668928 13418496 13510224 13631488 13724672 14155776 14252544 14536704 14636076 14680064 14780416 15335424 15440256 16353792 16515072 16613376 16627968 16726944 16891904 17891328 18013632 18690048 18817812 18874368 19003392 19382272 19514768 20127744 20265336 20447232 20587008 21805056 21954114 22020096 22151168 22170624 22302592 23003136 23160384 23855104 24018176 24772608 24920064 24941952 25090416 25337856 26836992 27020448 27262976 27449344 28311552 28505088 29073408 29272152 29360128 29560832 30670848 30880512 32707584 32931171 33030144 33226752 33255936 33453888 33783808 35782656 36027264 37380096 37635624 37748736 38006784 38764544 39029536 40255488 40530672 40894464 41174016 43610112 43908228 44040192 44302336 44341248 44605184 46006272 46320768 47710208 48036352 49545216 49840128 49883904 50180832 50675712 53673984 54040896 54525952 54898688 56623104 57010176 58146816 58544304 59121664 61341696 61761024 65415168 65862342 66060288 66453504 66511872 66907776 67567616 71565312 72054528 74760192 75271248 76013568 77529088 78059072 80510976 81061344 81788928 82348032 87220224 87816456 88080384 88604672 88682496 89210368 92012544 92641536 95420416 96072704 99090432 99680256 99767808 100361664 101351424 107347968 108081792 109797376 113246208 114020352 116293632 117088608 118243328 122683392 123522048 130830336 131724684 132120576 132907008 133023744 133815552 135135232 143130624 144109056 149520384 150542496 152027136 155058176 156118144 161021952 162122688 163577856 164696064 174440448 175632912 177209344 177364992 178420736 184025088 185283072 190840832 192145408 198180864 199360512 199535616 200723328 202702848 214695936 216163584 219594752 228040704 232587264 234177216 236486656 245366784 247044096 261660672 263449368 264241152 265814016 266047488 267631104 270270464 286261248 288218112 299040768 301084992 304054272 310116352 312236288 322043904 324245376 329392128 348880896 351265824 354418688 354729984 356841472 368050176 370566144 381681664 384290816 396361728 398721024 399071232 401446656 405405696 429391872 432327168 439189504 456081408 465174528 468354432 472973312 490733568 494088192 523321344 526898736 531628032 532094976 535262208 540540928 572522496 576436224 598081536 602169984 608108544 620232704 624472576 644087808 648490752 658784256 697761792 702531648 708837376 709459968 713682944 736100352 741132288 768581632 792723456 797442048 798142464 802893312 810811392 858783744 864654336 878379008 912162816 930349056 936708864 945946624 988176384 1046642688 1053797472 1063256064 1064189952 1070524416 1081081856 1145044992 1152872448 1196163072 1204339968 1216217088 1240465408 1248945152 1288175616 1296981504 1317568512 1395523584 1405063296 1418919936 1427365888 1472200704 1482264576 1537163264 1594884096 1596284928 1605786624 1621622784 1717567488 1729308672 1756758016 1824325632 1860698112 1873417728 1891893248 1976352768 2093285376 2107594944 2126512128 2128379904 2141048832 2162163712 2305744896 2392326144 2408679936 2432434176 2480930816 2497890304 2576351232 2593963008 2635137024 2791047168 2810126592 2837839872 2854731776 2964529152 3074326528 3189768192 3192569856 3211573248 3243245568 3435134976 3458617344 3513516032 3648651264 3721396224 3746835456 3783786496 3952705536 4186570752 4215189888 4256759808 4282097664 4324327424 4611489792 4784652288 4817359872 4864868352 4961861632 4995780608 5152702464 5187926016 5270274048 5582094336 5620253184 5675679744 5709463552 5929058304 6148653056 6379536384 6385139712 6423146496 6486491136 6917234688 7027032064 7297302528 7442792448 7493670912 7567572992 7905411072 8373141504 8430379776 8513519616 8564195328 9222979584 9569304576 9634719744 9729736704 9991561216 10305404928 10375852032 10540548096 11164188672 11240506368 11351359488 11418927104 11858116608 12297306112 12770279424 12846292992 12972982272 13834469376 14054064128 14594605056 14885584896 14987341824 15135145984 15810822144 16746283008 16860759552 17027039232 17128390656 18445959168 19138609152 19269439488 19459473408 19983122432 20751704064 21081096192 22328377344 22481012736 22702718976 22837854208 23716233216 24594612224 25540558848 25692585984 27668938752 28108128256 29189210112 29974683648 30270291968 31621644288 33492566016 33721519104 34054078464 34256781312 36891918336 38538878976 38918946816 39966244864 41503408128 42162192384 44656754688 44962025472 45405437952 45675708416 47432466432 49189224448 51081117696 51385171968 55337877504 56216256512 58378420224 59949367296 63243288576 66985132032 67443038208 68108156928 68513562624 73783836672 77077757952 79932489728 83006816256 84324384768 89924050944 90810875904 91351416832 94864932864 98378448896 102162235392 102770343936 110675755008 116756840448 119898734592 126486577152 133970264064 134886076416 136216313856 137027125248 147567673344 154155515904 159864979456 166013632512 168648769536 179848101888 182702833664 189729865728 196756897792 204324470784 205540687872 221351510016 239797469184 252973154304 269772152832 272432627712 274054250496 295135346688 308311031808 319729958912 332027265024 359696203776 365405667328 379459731456 393513795584 408648941568 411081375744 442703020032 479594938368 505946308608 539544305664 548108500992 590270693376 616622063616 639459917824 664054530048 719392407552 730811334656 758919462912 817297883136 822162751488 885406040064 959189876736 1079088611328 1096217001984 1180541386752 1233244127232 1278919835648 1328109060096 1438784815104 1517838925824 1644325502976 1770812080128 1918379753472 2158177222656 2192434003968 2466488254464 2557839671296 2656218120192 2877569630208 3288651005952 3541624160256 3836759506944 4316354445312 4932976508928 5115679342592 5312436240384 5755139260416 6577302011904 7673519013888 8632708890624 9865953017856 10624872480768 11510278520832 15347038027776 17265417781248 19731906035712 23020557041664 34530835562496 46041114083328 69061671124992 138123342249984
- Sum of all divisors σ(n): 506956404349440
- Sum of proper divisors (its aliquot sum) s(n): 368833062099456
- 138123342249984 is an abundant number, because the sum of its proper divisors (368833062099456) is greater than itself. Its abundance is 230709719849472
Bases of 138123342249984
- Binary: 111110110011111010110001100000000000000000000002
- Hexadecimal: 0x7D9F58C00000
- Base-36: 1CYKZJQIO0
Squares and roots of 138123342249984
- 138123342249984 squared (1381233422499842) is 19078057674306215115548000256
- 138123342249984 cubed (1381233422499843) is 2635125089613131132784170836220726847995904
-
The
square root of 138123342249984 is 11752588.7467393327 -
The
cube root of 138123342249984 is 51691.8838203485
Scales and comparisons
How big is 138123342249984?- 138,123,342,249,984 seconds is equal to 4,391,895 years, 2 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,123,342,249,984 would take you about ten million, nine hundred seventy-nine thousand, seven hundred thirty-seven 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 138123342249984 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138123342249984
- 138123342249984 backwards is 489942243321831
- 138123342249984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138123342249984's digits is 63
- More coming soon!
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The information we have on file for 138123342249984 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!
Keywords: Divisors of 138123342249984, math, Factors of 138123342249984, curriculum, school, college, exams, university, Prime factorization of 138123342249984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-three billion, three hundred forty-two million, two hundred forty-nine thousand, nine hundred eighty-four.