138901231632384
138,901,231,632,384 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138901231632384 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138901231632384 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138901231632384:
217 × 32 × 13 × 29 × 53 × 71 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 53 × 71 × 83)See below for interesting mathematical facts about the number 138901231632384 from the Numbermatics database.
Names of 138901231632384
- Cardinal: 138901231632384 can be written as One hundred thirty-eight trillion, nine hundred one billion, two hundred thirty-one million, six hundred thirty-two thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38901231632384 × 1014
Factors of 138901231632384
Divisors of 138901231632384
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 53 58 64 71 72 78 83 87 96 104 106 116 117 128 142 144 156 159 166 174 192 208 212 213 232 234 249 256 261 284 288 312 318 332 348 377 384 416 424 426 464 468 477 498 512 522 568 576 624 636 639 664 689 696 747 754 768 832 848 852 923 928 936 954 996 1024 1044 1079 1131 1136 1152 1248 1272 1278 1328 1378 1392 1494 1508 1536 1537 1664 1696 1704 1846 1856 1872 1908 1992 2048 2059 2067 2088 2158 2262 2272 2304 2407 2496 2544 2556 2656 2756 2769 2784 2988 3016 3072 3074 3237 3328 3392 3393 3408 3692 3712 3744 3763 3816 3984 4096 4118 4134 4176 4316 4399 4524 4544 4608 4611 4814 4992 5088 5112 5312 5512 5538 5568 5893 5976 6032 6144 6148 6177 6201 6474 6656 6784 6786 6816 7221 7384 7424 7488 7526 7632 7968 8192 8236 8268 8307 8352 8632 8798 9048 9088 9216 9222 9628 9711 9984 10176 10224 10624 11024 11076 11136 11289 11786 11952 12064 12288 12296 12354 12402 12948 13197 13312 13568 13572 13632 13833 14442 14768 14848 14976 15052 15264 15936 16384 16472 16536 16614 16704 17264 17596 17679 18096 18176 18432 18444 18531 19256 19422 19968 19981 20352 20448 21248 21663 22048 22152 22272 22578 23572 23904 24128 24576 24592 24708 24804 25896 26394 26624 26767 27136 27144 27264 27666 28884 29536 29696 29952 30104 30528 31291 31872 32768 32944 33072 33228 33408 33867 34528 35192 35358 36192 36352 36864 36888 37062 38512 38844 39591 39936 39962 40704 40896 42496 43326 44096 44304 44544 45156 47144 47808 48256 48919 49152 49184 49416 49608 51792 52788 53037 53248 53534 54272 54288 54528 55332 57187 57768 59072 59392 59904 59943 60208 61056 62582 63744 65536 65888 66144 66456 66816 67734 69056 70384 70716 72384 72704 73728 73776 74124 76609 77024 77688 79182 79872 79924 80301 81408 81792 84992 86652 88192 88608 89088 90312 93873 94288 95616 96512 97838 98304 98368 98832 99216 103584 105576 106074 106496 107068 108544 108576 109056 109127 110664 114374 115536 118144 118784 119808 119886 120416 122112 125164 127488 127571 131072 131776 132288 132912 133632 135468 138112 140768 141432 144768 145408 146757 147456 147552 148248 153218 154048 155376 158364 159744 159848 160602 162816 163584 169984 170897 171561 173304 176384 177216 178176 179829 180624 187746 188576 191232 193024 195676 196608 196736 197664 198432 207168 211152 212148 212992 214136 217088 217152 218112 218254 221328 228748 229827 231072 236288 237568 239616 239772 240832 240903 244224 250328 254976 255142 263552 264576 265824 267264 270936 276224 281536 281619 282864 289536 290816 293514 294912 295104 296496 306436 308096 310752 312329 316728 319488 319696 321204 325632 327168 327381 339968 341794 343122 346608 352768 354432 356352 359658 361248 375492 377152 382464 382713 386048 391352 393216 393472 395328 396864 414336 422304 424296 425984 428272 434176 434304 436224 436508 440271 442656 457496 459654 462144 472576 475136 479232 479544 481664 481806 488448 500656 509952 510284 512691 514683 527104 529152 531648 534528 541872 552448 563072 563238 565728 579072 581632 587028 589824 590208 592992 612872 616192 621504 624658 633456 638976 639392 642408 651264 654336 654762 679936 683588 686244 689481 693216 705536 708864 712704 719316 722496 750984 754304 764928 765426 772096 782704 786944 790656 793728 828672 844608 848592 851968 856544 868352 868608 872448 873016 880542 885312 914992 919308 924288 936987 945152 950272 958464 959088 963328 963612 976896 982143 1001312 1019904 1020568 1025382 1029366 1054208 1058304 1063296 1069056 1083744 1104896 1126144 1126476 1131456 1148139 1158144 1163264 1174056 1179648 1180416 1185984 1225744 1232384 1243008 1249316 1266912 1277952 1278784 1284816 1302528 1308672 1309524 1359872 1367176 1372488 1378962 1386432 1411072 1417728 1418651 1425408 1438632 1444992 1501968 1508608 1529856 1530852 1538073 1544192 1565408 1573888 1581312 1587456 1657344 1658423 1689216 1697184 1703936 1713088 1736704 1737216 1744896 1746032 1761084 1770624 1829984 1838616 1848576 1873974 1890304 1900544 1916928 1918176 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109637632 111181824 111746048 112709376 113319936 117118976 117671424 117748033 118308864 119406456 119934336 120979456 122763264 123305984 123342336 125714304 128167936 129928864 130632704 131248896 131758848 134938624 135462912 136101888 136190496 138719232 141426688 142186304 144146432 144188928 144826368 144920656 146169972 146961792 148242432 150279168 151093248 151805952 156895232 157745152 159105024 159208608 159912448 159959592 162164736 163035738 163684352 164456448 167619072 174998528 175678464 176507136 177463296 179901504 181469184 181587328 184144896 184958976 192251904 193101824 194893296 195949056 196873344 200372224 201457664 202407936 203194368 204285744 212140032 212278144 213279456 216219648 217239552 217380984 219275264 222363648 223492096 225418752 226639872 234237952 235342848 235496066 236617728 238812912 239868672 245526528 246611968 246684672 251428608 256335872 259857728 261265408 262497792 263517696 269877248 270925824 272203776 272380992 277438464 284372608 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783796224 787493376 801488896 809631744 812777472 817142976 849112576 853117824 864878592 868958208 869523936 877101056 893968384 901675008 906559488 936951808 941371392 941984264 946470912 955251648 959474688 982106112 986738688 1005714432 1025343488 1039430912 1045061632 1049991168 1054070784 1059732297 1088815104 1089523968 1109753856 1137490432 1153511424 1158610944 1159365248 1169359776 1175694336 1202233344 1214447616 1255161856 1272840192 1273668864 1279299584 1279676736 1297317888 1304285904 1309474816 1315651584 1340952576 1399988224 1405427712 1412057088 1412976396 1419706368 1439212032 1452698624 1473159168 1479671808 1538015232 1559146368 1567592448 1574986752 1602977792 1634285952 1698225152 1706235648 1729757184 1737916416 1739047872 1754202112 1787936768 1803350016 1813118976 1873903616 1882742784 1883968528 1910503296 1918949376 1964212224 1973477376 2011428864 2050686976 2078861824 2090123264 2099982336 2108141568 2119464594 2179047936 2219507712 2274980864 2307022848 2317221888 2318730496 2338719552 2351388672 2404466688 2428895232 2510323712 2547337728 2558599168 2559353472 2594635776 2608571808 2618949632 2631303168 2681905152 2799976448 2810855424 2824114176 2825952792 2839412736 2878424064 2905397248 2946318336 3076030464 3118292736 3135184896 3149973504 3205955584 3268571904 3396450304 3412471296 3475832832 3478095744 3508404224 3575873536 3606700032 3747807232 3765485568 3767937056 3821006592 3837898752 3928424448 3946954752 4022857728 4101373952 4157723648 4180246528 4199964672 4216283136 4238929188 4358095872 4439015424 4549961728 4614045696 4637460992 4677439104 4702777344 4808933376 5020647424 5094675456 5117198336 5118706944 5189271552 5217143616 5262606336 5363810304 5599952896 5621710848 5648228352 5651905584 5756848128 5810794496 5892636672 6152060928 6236585472 6270369792 6299947008 6411911168 6537143808 6792900608 6824942592 6951665664 6956191488 7151747072 7213400064 7495614464 7530971136 7535874112 7642013184 7675797504 7856848896 7893909504 8045715456 8315447296 8360493056 8399929344 8432566272 8477858376 8716191744 9099923456 9228091392 9274921984 9354878208 9405554688 9617866752 10041294848 10189350912 10234396672 10237413888 10434287232 10525212672 10727620608 11199905792 11243421696 11296456704 11303811168 11513696256 11621588992 11785273344 12304121856 12473170944 12540739584 12599894016 13074287616 13585801216 13649885184 13912382976 14303494144 14426800128 15061942272 15071748224 15284026368 15351595008 15787819008 16091430912 16630894592 16720986112 16799858688 16865132544 16955716752 17432383488 18199846912 18456182784 18549843968 18709756416 18811109376 19235733504 20378701824 20468793344 20474827776 20868574464 21455241216 22399811584 22486843392 22592913408 22607622336 23027392512 23243177984 23570546688 24946341888 25081479168 25199788032 26148575232 27171602432 27299770368 27824765952 28853600256 30123884544 30143496448 30568052736 30703190016 31575638016 32182861824 33261789184 33599717376 33730265088 33911433504 34864766976 36399693824 36912365568 37099687936 37419512832 37622218752 40757403648 40937586688 40949655552 41737148928 42910482432 45185826816 45215244672 46054785024 46486355968 49892683776 50162958336 50399576064 52297150464 54343204864 54599540736 55649531904 57707200512 60286992896 61136105472 61406380032 64365723648 66523578368 67199434752 67460530176 67822867008 69729533952 72799387648 74199375872 74839025664 75244437504 81514807296 81899311104 83474297856 90371653632 90430489344 92109570048 92972711936 99785367552 100799152128 104594300928 108686409728 109199081472 111299063808 120573985792 122272210944 122812760064 128731447296 133047156736 135645734016 139459067904 145598775296 148398751744 149678051328 150488875008 163029614592 163798622208 166948595712 180860978688 184219140096 185945423872 199570735104 201598304256 209188601856 217372819456 218398162944 222598127616 241147971584 244544421888 266094313472 271291468032 278918135808 291197550592 296797503488 299356102656 326059229184 327597244416 333897191424 361721957376 368438280192 399141470208 418377203712 436796325888 445196255232 482295943168 489088843776 532188626944 542582936064 557836271616 593595006976 598712205312 652118458368 655194488832 667794382848 723443914752 798282940416 836754407424 873592651776 890392510464 964591886336 978177687552 1085165872128 1187190013952 1197424410624 1310388977664 1335588765696 1446887829504 1596565880832 1673508814848 1780785020928 1929183772672 1956355375104 2170331744256 2394848821248 2620777955328 2671177531392 2893775659008 3561570041856 3858367545344 4340663488512 4789697642496 5342355062784 5787551318016 7716735090688 8681326977024 10684710125568 11575102636032 15433470181376 17362653954048 23150205272064 34725307908096 46300410544128 69450615816192 138901231632384
- Sum of all divisors σ(n): 467451384341760
- Sum of proper divisors (its aliquot sum) s(n): 328550152709376
- 138901231632384 is an abundant number, because the sum of its proper divisors (328550152709376) is greater than itself. Its abundance is 189648921076992
Bases of 138901231632384
- Binary: 111111001010100011101101001001000000000000000002
- Hexadecimal: 0x7E5476920000
- Base-36: 1D8ICEZNK0
Squares and roots of 138901231632384
- 138901231632384 squared (1389012316323842) is 19293552148993193529317523456
- 138901231632384 cubed (1389012316323843) is 2679898156058783674032350294753707089199104
-
The
square root of 138901231632384 is 11785636.6663996561 -
The
cube root of 138901231632384 is 51788.7424580757
Scales and comparisons
How big is 138901231632384?- 138,901,231,632,384 seconds is equal to 4,416,629 years, 26 weeks, 5 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,901,231,632,384 would take you about eleven million, forty-one thousand, five hundred seventy-three 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 138901231632384 cubic inches would be around 4315.7 feet tall.
Recreational maths with 138901231632384
- 138901231632384 backwards is 483236132109831
- The number of decimal digits it has is: 15
- The sum of 138901231632384's digits is 54
- More coming soon!
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"Number 138901231632384 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 138901231632384 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138901231632384/
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The information we have on file for 138901231632384 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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