138984031888416
138,984,031,888,416 is an even composite number composed of six prime numbers multiplied together.
What does the number 138984031888416 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
138984031888416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138984031888416:
25 × 312 × 11 × 13 × 67 × 853
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 67 × 853)See below for interesting mathematical facts about the number 138984031888416 from the Numbermatics database.
Names of 138984031888416
- Cardinal: 138984031888416 can be written as One hundred thirty-eight trillion, nine hundred eighty-four billion, thirty-one million, eight hundred eighty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38984031888416 × 1014
Factors of 138984031888416
Divisors of 138984031888416
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 67 72 78 81 88 96 99 104 108 117 132 134 143 144 156 162 176 198 201 208 216 234 243 264 268 286 288 297 312 324 351 352 396 402 416 429 432 468 486 528 536 572 594 603 624 648 702 729 737 792 804 853 858 864 871 891 936 972 1053 1056 1072 1144 1188 1206 1248 1287 1296 1404 1458 1474 1584 1608 1706 1716 1742 1782 1809 1872 1944 2106 2144 2187 2211 2288 2376 2412 2559 2574 2592 2613 2673 2808 2916 2948 3159 3168 3216 3412 3432 3484 3564 3618 3744 3861 3888 4212 4374 4422 4576 4752 4824 5118 5148 5226 5346 5427 5616 5832 5896 6318 6432 6561 6633 6824 6864 6968 7128 7236 7677 7722 7776 7839 8019 8424 8748 8844 9383 9477 9504 9581 9648 10236 10296 10452 10692 10854 11089 11232 11583 11664 11792 12636 13122 13266 13648 13728 13936 14256 14472 15354 15444 15678 16038 16281 16848 17496 17688 18766 18954 19162 19296 19683 19899 20472 20592 20904 21384 21708 22178 23031 23166 23328 23517 23584 24057 25272 26244 26532 27296 27872 28149 28431 28512 28743 28944 30708 30888 31356 32076 32562 33267 33696 34749 34992 35376 37532 37908 38324 39366 39798 40944 41184 41808 42768 43416 44356 46062 46332 47034 48114 48843 50544 52488 53064 56298 56862 57151 57486 57888 59049 59697 61416 61776 62712 64152 65124 66534 69093 69498 69984 70551 70752 72171 75064 75816 76648 78732 79596 81888 83616 84447 85293 85536 86229 86832 88712 92124 92664 94068 96228 97686 99801 101088 104247 104976 106128 112596 113724 114302 114972 118098 119394 121979 122832 123552 125424 128304 130248 133068 138186 138996 141102 144342 146529 150128 151632 153296 157464 159192 168894 170586 171453 172458 173664 177147 177424 179091 184248 185328 188136 192456 195372 199602 207279 208494 209952 211653 212256 216513 225192 227448 228604 229944 236196 238788 243958 245664 250848 253341 255879 256608 258687 260496 266136 276372 277992 282204 288684 293058 299403 300256 303264 306592 312741 314928 318384 337788 341172 342906 344916 354294 354848 358182 365937 368496 370656 376272 384912 390744 399204 414558 416988 423306 433026 439587 450384 454896 457208 459888 472392 477576 487916 506682 511758 514359 517374 520992 531441 532272 537273 552744 555984 564408 577368 586116 598806 621837 625482 628661 629856 634959 636768 649539 675576 682344 685812 689832 708588 716364 731874 736992 742963 752544 760023 767637 769824 776061 781488 798408 829116 833976 846612 866052 879174 898209 900768 909792 914416 919776 938223 944784 955152 975832 1013364 1023516 1028718 1034748 1062882 1064544 1074546 1097811 1105488 1111968 1128816 1154736 1172232 1197612 1243674 1250964 1257322 1269918 1299078 1318761 1351152 1364688 1371624 1379664 1417176 1432728 1463748 1485926 1520046 1535274 1543077 1552122 1562976 1596816 1611819 1658232 1667952 1693224 1732104 1758348 1796418 1828832 1865511 1876446 1885983 1889568 1904877 1910304 1948617 1951664 2026728 2047032 2057436 2069496 2125764 2149092 2195622 2210976 2228889 2257632 2280069 2302911 2309472 2328183 2344464 2395224 2487348 2501928 2514644 2539836 2598156 2637522 2694627 2702304 2729376 2743248 2759328 2814669 2834352 2865456 2927496 2971852 3040092 3070548 3086154 3104244 3193632 3223638 3293433 3316464 3335904 3386448 3464208 3516696 3592836 3731022 3752892 3771966 3809754 3897234 3903328 3956283 4053456 4094064 4114872 4138992 4251528 4298184 4391244 4457778 4560138 4605822 4629231 4656366 4688928 4790448 4835457 4974696 5003856 5029288 5079672 5196312 5275044 5389254 5486496 5596533 5629338 5657949 5668704 5714631 5730912 5845851 5854992 5943704 6080184 6141096 6172308 6208488 6447276 6586866 6632928 6686667 6772896 6840207 6908733 6928416 6984549 7033392 7185672 7462044 7505784 7543932 7619508 7794468 7912566 8083881 8106912 8172593 8188128 8229744 8277984 8444007 8503056 8596368 8782488 8915556 9120276 9211644 9258462 9312732 9580896 9670914 9880299 9949392 10007712 10058576 10159344 10392624 10550088 10778508 11193066 11258676 11315898 11429262 11691702 11709984 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962880048 984989808 999913896 1005775056 1044458712 1067072292 1083240054 1108113534 1124903133 1131496938 1139409504 1164078864 1176853392 1208851128 1215937008 1222116984 1234360296 1309588722 1323960066 1333218528 1374881607 1392611616 1422763056 1444320072 1477484712 1499870844 1508662584 1566688068 1600608438 1611801504 1624860081 1629489312 1645813728 1662170301 1697245407 1746118296 1765280088 1813276692 1833175476 1851540444 1925760096 1964383083 1969979616 1985940099 1999827792 2011550112 2088917424 2134144584 2166480108 2216227068 2249806266 2262993876 2328157728 2353706784 2400912657 2417702256 2431874016 2444233968 2468720592 2619177444 2647920132 2749763214 2845526112 2888640144 2954969424 2999741688 3017325168 3133376136 3201216876 3249720162 3324340602 3374709399 3394490814 3492236592 3530560176 3626553384 3666350952 3703080888 3928766166 3971880198 3999655584 4124644821 4177834848 4268289168 4332960216 4432454136 4499612532 4525987752 4801825314 4835404512 4874580243 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32997158568 35746921782 35996900256 37121803389 38414602512 38996641944 39892087224 40496512788 40733889768 43216427826 43871222187 43996211424 47145193992 47662562376 49495737852 51995522592 53189449632 53620382673 53995350384 54311853024 57621903768 58494962916 60744769182 62860258656 63550083168 64824641739 65994317136 71493843564 74243606778 76829205024 77993283888 79784174448 80993025576 81467779536 86432855652 87742444374 94290387984 95325124752 98991475704 107240765346 107990700768 111365410167 115243807536 116989925832 121489538364 129649283478 131613666561 131988634272 142987687128 148487213556 155986567776 159568348896 160861148019 161986051152 162935559072 172865711304 175484888748 188580775968 190650249504 197982951408 214481530692 222730820334 230487615072 233979851664 242979076728 259298566956 263227333122 285975374256 296974427112 321722296038 323972102304 334096230501 345731422608 350969777496 394840999683 395965902816 428963061384 445461640668 467959703328 482583444057 485958153456 518597133912 526454666244 571950748512 593948854224 643444592076 668192461002 691462845216 701939554992 789681999366 857926122768 890923281336 965166888114 971916306912 1037194267824 1052909332488 1187897708448 1286889184152 1336384922004 1403879109984 1447750332171 1579363998732 1715852245536 1781846562672 1930333776228 2074388535648 2105818664976 2573778368304 2672769844008 2895500664342 3158727997464 3563693125344 3860667552456 4211637329952 4343250996513 5147556736608 5345539688016 5791001328684 6317455994928 7721335104912 8686501993026 10691079376032 11582002657368 12634911989856 15442670209824 17373003986052 23164005314736 34746007972104 46328010629472 69492015944208 138984031888416
- Sum of all divisors σ(n): 489962292337728
- Sum of proper divisors (its aliquot sum) s(n): 350978260449312
- 138984031888416 is an abundant number, because the sum of its proper divisors (350978260449312) is greater than itself. Its abundance is 211994228560896
Bases of 138984031888416
- Binary: 111111001100111101111011101100110100100001000002
- Hexadecimal: 0x7E67BDD9A420
- Base-36: 1D9KDS4I00
Squares and roots of 138984031888416
- 138984031888416 squared (1389840318884162) is 19316561119960235559074989056
- 138984031888416 cubed (1389840318884163) is 2684693546671090061660373244734930213175296
-
The
square root of 138984031888416 is 11789148.9043279117 -
The
cube root of 138984031888416 is 51799.0309902083
Scales and comparisons
How big is 138984031888416?- 138,984,031,888,416 seconds is equal to 4,419,262 years, 16 weeks, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,984,031,888,416 would take you about eleven million, forty-eight thousand, one hundred fifty-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 138984031888416 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138984031888416
- 138984031888416 backwards is 614888130489831
- 138984031888416 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138984031888416's digits is 72
- More coming soon!
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"Number 138984031888416 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138984031888416 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138984031888416/
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The information we have on file for 138984031888416 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 138984031888416, math, Factors of 138984031888416, curriculum, school, college, exams, university, Prime factorization of 138984031888416, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred eighty-four billion, thirty-one million, eight hundred eighty-eight thousand, four hundred sixteen.