138432402102384
138,432,402,102,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 138432402102384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1260 divisors.
138432402102384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138432402102384:
24 × 36 × 13 × 232 × 107 × 1272
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 23 × 23 × 107 × 127 × 127)See below for interesting mathematical facts about the number 138432402102384 from the Numbermatics database.
Names of 138432402102384
- Cardinal: 138432402102384 can be written as One hundred thirty-eight trillion, four hundred thirty-two billion, four hundred two million, one hundred two thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38432402102384 × 1014
Factors of 138432402102384
Divisors of 138432402102384
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 69 72 78 81 92 104 107 108 117 127 138 144 156 162 184 207 208 214 216 234 243 254 276 299 312 321 324 351 368 381 414 428 432 468 486 508 529 552 598 621 624 642 648 702 729 762 828 856 897 936 963 972 1016 1053 1058 1104 1143 1196 1242 1284 1296 1391 1404 1458 1524 1587 1651 1656 1712 1794 1863 1872 1926 1944 2032 2106 2116 2286 2392 2461 2484 2568 2691 2782 2808 2889 2916 2921 3048 3159 3174 3302 3312 3429 3588 3726 3852 3888 4173 4212 4232 4572 4761 4784 4922 4953 4968 5136 5382 5564 5589 5616 5778 5832 5842 6096 6318 6348 6604 6858 6877 7176 7383 7452 7704 8073 8346 8424 8464 8667 8763 9144 9477 9522 9844 9906 9936 10287 10764 11128 11178 11556 11664 11684 12519 12636 12696 13208 13589 13716 13754 14283 14352 14766 14859 14904 15408 16129 16146 16692 16767 16848 17334 17526 18288 18954 19044 19688 19812 20574 20631 21528 22149 22256 22356 23112 23368 24219 25038 25272 25392 26001 26289 26416 27178 27432 27508 28566 29532 29718 29808 30861 31993 32258 32292 33384 33534 34668 35052 37557 37908 37973 38088 39376 39624 40767 41148 41262 42849 43056 44298 44577 44712 46224 46736 48387 48438 50076 50544 52002 52578 54356 54864 55016 56603 57132 59064 59436 61722 61893 63986 64516 64584 66447 66768 67068 67183 69336 70104 72657 75114 75816 75946 76176 78003 78867 79248 81534 82296 82524 85698 88596 89154 89424 92583 95979 96774 96876 100152 104004 105156 108712 110032 112671 113206 113919 114264 118128 118872 122301 123444 123786 127972 128547 129032 129168 132894 133731 134136 134366 138672 140208 145161 145314 150228 151632 151892 156006 157734 163068 164592 165048 169809 171396 176657 177192 178308 185166 185679 191958 193548 193752 199341 200304 201549 208008 209677 210312 217424 217971 225342 226412 227838 228528 236601 237744 244602 246888 247572 255944 257094 258064 265788 267462 268272 268732 287937 290322 290628 300456 303784 312012 312547 315468 326136 330096 338013 339618 341757 342792 353314 354384 356616 366903 370332 370967 371358 383916 385641 387096 387504 398682 401193 403098 416016 419354 420624 435483 435942 450684 452824 455676 473202 489204 493776 495144 509427 511888 514188 529971 531576 534924 537464 557037 575874 580644 581256 598023 600912 604647 607568 624024 625094 629031 630936 652272 676026 679236 683514 685584 706628 709803 713232 733806 735839 740664 741934 742716 767832 771282 774192 797364 802386 806196 838708 863811 870966 871884 873379 901368 905648 911352 937641 946404 978408 990288 1014039 1018854 1025271 1028376 1059942 1063152 1069848 1074928 1100709 1112901 1114074 1151748 1161288 1162512 1196046 1203579 1209294 1248048 1250188 1258062 1261872 1306449 1352052 1358472 1367028 1413256 1419606 1467612 1471678 1481328 1483868 1485432 1528281 1535664 1542564 1589913 1594728 1604772 1612392 1671111 1677416 1725803 1727622 1741932 1743768 1746758 1794069 1802736 1813941 1822704 1875282 1887093 1892808 1956816 2028078 2037708 2050542 2056752 2119884 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20129766192 20185535448 20961902196 21807246708 21910794888 22708727379 23696063352 23736694462 23958532728 24649644249 24768724656 24880014756 25721367912 26953349319 27864815238 27949202928 28125234072 28936538901 29076328944 30278303172 32710870062 32866192332 33173353008 35605041693 35937799092 37153086984 38582051868 40371070896 41797222857 41923804392 43614493416 43821589776 45417454758 47392126704 47473388924 47917065456 49299288498 49760029512 51442735824 53906698638 55729630476 56250468144 57873077802 60556606344 65421740124 65732384664 68126182137 71210083386 71875598184 73948932747 74306173968 77164103736 80860047957 83594445714 83847608784 87228986832 90834909516 94946777848 98598576996 99520059024 106815125079 107813397276 111459260952 115746155604 121113212688 125391668571 130843480248 131464769328 136252364274 142420166772 143751196368 147897865494 154328207472 161720095914 167188891428 181669819032 189893555696 197197153992 213630250158 215626794552 221846798241 222918521904 231492311208 250783337142 261686960496 272504728548 284840333544 295795730988 320445375237 323440191828 334377782856 363339638064 376175005713 394394307984 427260500316 431253589104 443693596482 462984622416 501566674284 545009457096 569680667088 591591461976 640890750474 646880383656 665540394723 668755565712 752350011426 854521000632 887387192964 961336125711 1003133348568 1090018914192 1183182923952 1281781500948 1293760767312 1331080789446 1504700022852 1709042001264 1774774385928 1922672251422 2006266697136 2563563001896 2662161578892 2884008377133 3009400045704 3549548771856 3845344502844 5127126003792 5324323157784 5768016754266 6018800091408 7690689005688 8652025131399 10648646315568 11536033508532 15381378011376 17304050262798 23072067017064 34608100525596 46144134034128 69216201051192 138432402102384
- Sum of all divisors σ(n): 460573752002616
- Sum of proper divisors (its aliquot sum) s(n): 322141349900232
- 138432402102384 is an abundant number, because the sum of its proper divisors (322141349900232) is greater than itself. Its abundance is 183708947797848
Bases of 138432402102384
- Binary: 111110111100111010011100010011100011000011100002
- Hexadecimal: 0x7DE74E271870
- Base-36: 1D2IYTZR00
Squares and roots of 138432402102384
- 138432402102384 squared (1384324021023842) is 19163529951836130103218483456
- 138432402102384 cubed (1384324021023843) is 2652853483993658651161832940099262522159104
-
The
square root of 138432402102384 is 11765729.9859542927 -
The
cube root of 138432402102384 is 51730.4097369279
Scales and comparisons
How big is 138432402102384?- 138,432,402,102,384 seconds is equal to 4,401,722 years, 9 weeks, 5 days, 4 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,432,402,102,384 would take you about eleven million, four thousand, three hundred 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 138432402102384 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138432402102384
- 138432402102384 backwards is 483201204234831
- The number of decimal digits it has is: 15
- The sum of 138432402102384's digits is 45
- More coming soon!
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"Number 138432402102384 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 138432402102384 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138432402102384/
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The information we have on file for 138432402102384 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 138432402102384, math, Factors of 138432402102384, curriculum, school, college, exams, university, Prime factorization of 138432402102384, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-two billion, four hundred two million, one hundred two thousand, three hundred eighty-four.