138431440457388
138,431,440,457,388 is an even composite number composed of six prime numbers multiplied together.
What does the number 138431440457388 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
138431440457388 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138431440457388:
22 × 32 × 133 × 23 × 73 × 10212
(2 × 2 × 3 × 3 × 13 × 13 × 13 × 23 × 73 × 1021 × 1021)See below for interesting mathematical facts about the number 138431440457388 from the Numbermatics database.
Names of 138431440457388
- Cardinal: 138431440457388 can be written as One hundred thirty-eight trillion, four hundred thirty-one billion, four hundred forty million, four hundred fifty-seven thousand, three hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38431440457388 × 1014
Factors of 138431440457388
Divisors of 138431440457388
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 73 78 92 117 138 146 156 169 207 219 234 276 292 299 338 414 438 468 507 598 657 676 828 876 897 949 1014 1021 1196 1314 1521 1679 1794 1898 2028 2042 2197 2628 2691 2847 3042 3063 3358 3588 3796 3887 4084 4394 5037 5382 5694 6084 6126 6591 6716 7774 8541 8788 9189 10074 10764 11388 11661 12252 12337 13182 13273 15111 15548 17082 18378 19773 20148 21827 23322 23483 24674 26364 26546 30222 34164 34983 36756 37011 39546 39819 43654 46644 46966 49348 50531 53092 60444 65481 69966 70449 74022 74533 79092 79638 87308 93932 101062 111033 119457 130962 139932 140898 148044 149066 151593 159276 160381 172549 196443 202124 211347 222066 223599 238914 261924 281796 283751 298132 303186 305279 320762 345098 392886 422694 444132 447198 454779 477828 481143 517647 567502 606372 610558 641524 670797 690196 785772 845388 851253 894396 909558 915837 962286 968929 1035294 1042441 1135004 1221116 1341594 1443429 1552941 1702506 1714259 1819116 1831674 1924572 1937858 2070588 2084882 2243137 2553759 2683188 2747511 2886858 2906787 3105882 3127323 3405012 3428518 3663348 3688763 3875716 3968627 4169764 4486274 5107518 5142777 5495022 5773716 5813574 6211764 6254646 6729411 6857036 7377526 7937254 8720361 8972548 9381969 10215036 10285554 10990044 11066289 11627148 11905881 12509292 12596077 13458822 13551733 14755052 15428331 15874508 17440722 18763938 20188233 20571108 22132578 22285367 23811762 23976143 25192154 26917644 27103466 30856662 33198867 34881444 35717643 37527876 37788231 40376466 40655199 44265156 44570734 47623524 47952286 50384308 51592151 54206932 61713324 66397734 66856101 71435286 71928429 75576462 76098193 80752932 81310398 89141468 95904572 103184302 113364693 121965597 132795468 133712202 142870572 143856858 151152924 152196386 154776453 162620796 163749001 176172529 200568303 206368604 215785287 226729386 228294579 243931194 267424404 287713716 289709771 304392772 309552906 311689859 327498002 352345058 401136606 431570574 453458772 456589158 464329359 487862388 491247003 528517587 579419542 619105812 623379718 654996004 684883737 704690116 802273212 863141148 869129313 913178316 928658718 935069577 982494006 989276509 1057035174 1158839084 1246759436 1369767474 1473741009 1585552761 1738258626 1750258439 1857317436 1870139154 1964988012 1978553018 2114070348 2290242877 2607387939 2739534948 2805208731 2947482018 2967829527 3171105522 3476517252 3500516878 3740278308 3766227023 3957106036 4051968167 4580485754 5214775878 5250775317 5610417462 5894964036 5935659054 6342211044 6870728631 7001033756 7532454046 8103936334 8903488581 9160971508 10429551756 10501550634 11220834924 11298681069 11871318108 12155904501 12860594617 13741457262 15064908092 15752325951 16207872668 17806977162 20612185893 21003101268 22597362138 22753359707 24311809002 25721189234 27482914524 31504651902 33896043207 35613954324 36467713503 38581783851 41224371786 45194724276 45506719414 48623618004 51442378468 52675586171 63009303804 67792086414 68260079121 72935427006 77163567702 82448743572 91013438828 105351172342 115745351553 135584172828 136520158242 145870854012 154327135404 158026758513 167187730021 204780237363 210702344684 231490703106 273040316484 295793676191 316053517026 334375460042 409560474726 462981406212 474080275539 501563190063 591587352382 632107034052 668750920084 819120949452 887381028573 948160551078 1003126380126 1183174704764 1504689570189 1774762057146 1896321102156 2006252760252 2662143085719 3009379140378 3549524114292 3845317790483 5324286171438 6018758280756 7690635580966 10648572342876 11535953371449 15381271161932 23071906742898 34607860114347 46143813485796 69215720228694 138431440457388
- Sum of all divisors σ(n): 401363952575040
- Sum of proper divisors (its aliquot sum) s(n): 262932512117652
- 138431440457388 is an abundant number, because the sum of its proper divisors (262932512117652) is greater than itself. Its abundance is 124501071660264
Bases of 138431440457388
- Binary: 111110111100111000101001101010110001110101011002
- Hexadecimal: 0x7DE714D58EAC
- Base-36: 1D2IIXGCZ0
Squares and roots of 138431440457388
- 138431440457388 squared (1384314404573882) is 19163263707107359166643782544
- 138431440457388 cubed (1384314404573883) is 2652798198839656824502119579125649770235072
-
The
square root of 138431440457388 is 11765689.1195283585 -
The
cube root of 138431440457388 is 51730.2899518581
Scales and comparisons
How big is 138431440457388?- 138,431,440,457,388 seconds is equal to 4,401,691 years, 31 weeks, 5 days, 49 minutes, 48 seconds.
-
To count from 1 to 138,431,440,457,388 would take you about eleven million, four thousand, two hundred twenty-nine 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 138431440457388 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138431440457388
- 138431440457388 backwards is 883754044134831
- The number of decimal digits it has is: 15
- The sum of 138431440457388's digits is 63
- More coming soon!
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