138864879439104
138,864,879,439,104 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138864879439104 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138864879439104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138864879439104:
28 × 3 × 7 × 13 × 193 × 127 × 2281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 19 × 19 × 127 × 2281)See below for interesting mathematical facts about the number 138864879439104 from the Numbermatics database.
Names of 138864879439104
- Cardinal: 138864879439104 can be written as One hundred thirty-eight trillion, eight hundred sixty-four billion, eight hundred seventy-nine million, four hundred thirty-nine thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38864879439104 × 1014
Factors of 138864879439104
Divisors of 138864879439104
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 32 38 39 42 48 52 56 57 64 76 78 84 91 96 104 112 114 127 128 133 152 156 168 182 192 208 224 228 247 254 256 266 273 304 312 336 361 364 381 384 399 416 448 456 494 508 532 546 608 624 672 722 728 741 762 768 798 832 889 896 912 988 1016 1064 1083 1092 1216 1248 1344 1444 1456 1482 1524 1596 1651 1664 1729 1778 1792 1824 1976 2032 2128 2166 2184 2281 2413 2432 2496 2527 2667 2688 2888 2912 2964 3048 3192 3302 3328 3458 3556 3648 3952 4064 4256 4332 4368 4562 4693 4826 4864 4953 4992 5054 5187 5334 5376 5776 5824 5928 6096 6384 6604 6843 6859 6916 7112 7239 7296 7581 7904 8128 8512 8664 8736 9124 9386 9652 9906 9984 10108 10374 10668 11552 11557 11648 11856 12192 12768 13208 13686 13718 13832 14079 14224 14478 14592 15162 15808 15967 16256 16891 17024 17328 17472 18248 18772 19304 19812 20216 20577 20748 21336 23104 23114 23296 23712 24384 25536 26416 27372 27436 27664 28158 28448 28956 29653 30324 31369 31616 31934 32512 32851 33782 34048 34656 34671 34944 36496 37544 38608 39624 40432 41154 41496 42672 43339 45847 46208 46228 47424 47901 48013 48768 50673 51072 52832 54744 54872 55328 56316 56896 57912 59306 60648 62738 63232 63868 65702 67564 69312 69342 69888 72992 75088 77216 79248 80864 82308 82992 85344 86678 88959 89167 91694 92416 92456 94107 94848 95802 96026 97536 98553 101346 102144 105664 109488 109744 110656 112632 113792 115824 118612 121296 125476 127736 130017 131404 135128 137541 138624 138684 144039 145984 150176 154432 158496 161728 164616 165984 170688 173356 177918 178334 183388 184912 188214 189696 191604 192052 197106 202692 207571 211328 218976 219488 219583 221312 225264 227584 231648 237224 242592 250952 255472 260034 262808 267501 270256 275082 277248 277368 288078 289687 291968 300352 303373 308864 316992 320929 323456 329232 331968 341376 346712 355836 356668 366776 369824 376428 383208 384104 394212 405384 415142 422656 437952 438976 439166 442624 450528 463296 474448 485184 501904 510944 520068 525616 535002 540512 550164 554736 563407 576156 579374 583936 596011 600704 606746 617728 622713 624169 633984 641858 646912 658464 658749 663936 682752 693424 711672 713336 733552 739648 752856 766416 768208 788424 810768 823441 830284 869061 871093 875904 877952 878332 901056 910119 926592 948896 962787 970368 1003808 1021888 1040136 1051232 1070004 1081024 1100328 1109472 1126814 1152312 1158748 1192022 1201408 1213492 1245426 1248338 1267968 1283716 1316928 1317498 1327872 1386848 1423344 1426672 1467104 1479296 1505712 1532832 1536416 1576848 1621536 1646882 1660568 1690221 1738122 1742186 1751808 1755904 1756664 1788033 1802112 1820238 1853184 1872507 1897792 1925574 1940736 2007616 2027809 2043776 2080272 2102464 2140008 2162048 2200656 2218944 2253628 2304624 2317496 2384044 2426984 2470323 2490852 2496676 2567432 2613279 2633856 2634996 2773696 2846688 2853344 2934208 2958592 3011424 3065664 3072832 3153696 3243072 3293764 3321136 3380442 3476244 3484372 3513328 3576066 3604224 3640476 3745014 3765931 3795584 3851148 3943849 4015232 4055618 4087552 4160544 4172077 4204928 4280016 4324096 4401312 4437888 4507256 4609248 4634992 4768088 4853968 4940646 4981704 4993352 5134864 5226558 5267712 5269992 5504053 5547392 5693376 5706688 5764087 5868416 6022848 6083427 6097651 6131328 6145664 6307392 6486144 6587528 6642272 6760884 6952488 6968744 7026656 7152132 7280952 7490028 7531862 7591168 7702296 7887698 8030464 8111236 8321088 8344154 8409856 8560032 8802624 8875776 9014512 9218496 9269984 9536176 9707936 9881292 9963408 9986704 10269728 10453116 10539984 10704733 11008106 11094784 11297793 11324209 11386752 11413376 11528174 11736832 11831547 12045696 12166854 12195302 12262656 12291328 12516231 12614784 12972288 13175056 13284544 13521768 13904976 13937488 14053312 14304264 14561904 14980056 15063724 15404592 15645379 15775396 16222472 16512159 16642176 16688308 17120064 17292261 17605248 18029024 18292953 18436992 18539968 19072352 19415872 19762584 19926816 19973408 20539456 20906232 21079968 21409466 22016212 22595586 22648418 22773504 22826752 23056348 23663094 24091392 24333708 24390604 25032462 25229568 26350112 26361517 26569088 27043536 27809952 27874976 28106624 28608528 29123808 29960112 30127448 30809184 31290758 31550792 32114199 32444944 33024318 33284352 33376616 33972627 34240128 34584522 35210496 36058048 36585906 36873984 37079936 38144704 38528371 38831744 39525168 39853632 39946816 41078912 41812464 42159936 42818932 44032424 45191172 45296836 46112696 46936137 47326188 48667416 48781208 50064924 52700224 52723034 53138176 54087072 55619904 55749952 56213248 57217056 58247616 59920224 60254896 61618368 62581516 63101584 64228398 64889888 66048636 66753232 67945254 68480256 69169044 71552689 72116096 73171812 74159872 74933131 76289408 77056742 77663488 79050336 79084551 79269463 79707264 79893632 82157824 83624928 84319872 85637864 88064848 90382344 90593672 92225392 93872274 94652376 97334832 97562416 100129848 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17568937176 18317488384 19033015274 19182881536 19525432992 20078785344 20245645056 20292982528 21027389376 21752017456 22779671824 23425249568 23843557596 24041703504 25830520729 26033910656 26771713792 27476232576 27817483862 28036519168 28549522911 28774322304 29589788928 30439473792 31791410128 32055604672 32628026184 34169507736 35137874352 38066030548 39050865984 40157570688 41726225793 42054778752 43504034912 45559343648 46850499136 47687115192 48083407008 51661041458 52067821312 54952465152 55634967724 57099045822 57548644608 60878947584 63582820256 64111209344 65256052368 68339015472 70275748704 76132061096 77491562187 78101731968 80315141376 83452451586 84109557504 87008069824 91118687296 93700998272 95374230384 96166814016 103322082916 111269935448 114198091644 127165640512 128222418688 130512104736 136678030944 140551497408 152264122192 154983124374 156203463936 166904903172 174016139648 180813645103 182237374592 187401996544 190748460768 192333628032 206644165832 222539870896 228396183288 254331281024 261024209472 273356061888 281102994816 304528244384 309966248748 333809806344 348032279296 361627290206 364474749184 381496921536 384667256064 413288331664 445079741792 456792366576 508662562048 522048418944 542440935309 546712123776 562205989632 609056488768 619932497496 667619612688 723254580412 762993843072 826576663328 890159483584 913584733152 1044096837888 1084881870618 1093424247552 1218112977536 1239864994992 1335239225376 1446509160824 1525987686144 1653153326656 1780318967168 1827169466304 2169763741236 2436225955072 2479729989984 2670478450752 2893018321648 3306306653312 3560637934336 3654338932608 4339527482472 4959459979968 5340956901504 5786036643296 6612613306624 7308677865216 8679054964944 9918919959936 10681913803008 11572073286592 17358109929888 19837839919872 23144146573184 34716219859776 46288293146368 69432439719552 138864879439104
- Sum of all divisors σ(n): 484131220357120
- Sum of proper divisors (its aliquot sum) s(n): 345266340918016
- 138864879439104 is an abundant number, because the sum of its proper divisors (345266340918016) is greater than itself. Its abundance is 206401461478912
Bases of 138864879439104
- Binary: 111111001001011111111111100111110001101000000002
- Hexadecimal: 0x7E4BFFCF8D00
- Base-36: 1D81N7TZPC
Squares and roots of 138864879439104
- 138864879439104 squared (1388648794391042) is 19283454741636888849644322816
- 138864879439104 cubed (1388648794391043) is 2677794617866824942914032522314999989796864
-
The
square root of 138864879439104 is 11784094.3410643145 -
The
cube root of 138864879439104 is 51784.2241428821
Scales and comparisons
How big is 138864879439104?- 138,864,879,439,104 seconds is equal to 4,415,473 years, 32 weeks, 4 days, 21 hours, 58 minutes, 24 seconds.
-
To count from 1 to 138,864,879,439,104 would take you about eleven million, thirty-eight thousand, six hundred eighty-four 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 138864879439104 cubic inches would be around 4315.4 feet tall.
Recreational maths with 138864879439104
- 138864879439104 backwards is 401934978468831
- The number of decimal digits it has is: 15
- The sum of 138864879439104's digits is 75
- More coming soon!
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The information we have on file for 138864879439104 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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