138269607440328
138,269,607,440,328 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138269607440328 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
138269607440328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138269607440328:
23 × 33 × 72 × 13 × 67 × 3169 × 4733
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 67 × 3169 × 4733)See below for interesting mathematical facts about the number 138269607440328 from the Numbermatics database.
Names of 138269607440328
- Cardinal: 138269607440328 can be written as One hundred thirty-eight trillion, two hundred sixty-nine billion, six hundred seven million, four hundred forty thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38269607440328 × 1014
Factors of 138269607440328
Divisors of 138269607440328
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 67 72 78 84 91 98 104 108 117 126 134 147 156 168 182 189 196 201 216 234 252 268 273 294 312 351 364 378 392 402 441 468 469 504 536 546 588 603 637 702 728 756 804 819 871 882 936 938 1092 1176 1206 1274 1323 1404 1407 1512 1608 1638 1742 1764 1809 1876 1911 2184 2412 2457 2548 2613 2646 2808 2814 3169 3276 3283 3484 3528 3618 3752 3822 4221 4733 4824 4914 5096 5226 5292 5628 5733 6097 6338 6552 6566 6968 7236 7644 7839 8442 9466 9507 9828 9849 10452 10584 11256 11466 12194 12663 12676 13132 14199 14472 15288 15678 16884 17199 18291 18932 19014 19656 19698 20904 22183 22932 23517 24388 25326 25352 26264 28398 28521 29547 31356 33131 33768 34398 36582 37864 38028 39396 41197 42597 42679 44366 45864 47034 48776 50652 54873 56796 57042 59094 61529 62712 66262 66549 68796 73164 76056 78792 82394 85194 85358 85563 88641 88732 94068 99393 101304 109746 113592 114084 118188 123058 123591 127791 128037 132524 133098 137592 146328 155281 164619 164788 170388 170716 171126 177282 177464 184587 188136 198786 199647 212323 219492 228168 231917 236376 246116 247182 255582 256074 265048 266196 288379 298179 310562 317111 329238 329576 340776 341432 342252 354564 369174 370773 384111 397572 399294 424646 430703 438984 463834 465843 492232 494364 511164 512148 532392 553761 576758 596358 598941 621124 634222 636969 658476 684504 695751 709128 738348 741546 768222 795144 798588 849292 861406 865137 894537 927668 931686 951333 988728 1022328 1024296 1107522 1112319 1152333 1153516 1192716 1197882 1242248 1268444 1273938 1292109 1316952 1391502 1397529 1476696 1483092 1486261 1536444 1597176 1661283 1698584 1722812 1730274 1789074 1855336 1863372 1902666 1910907 2018653 2087253 2215044 2219777 2224638 2304666 2307032 2385432 2395764 2536888 2547876 2584218 2595411 2760199 2783004 2795058 2853999 2966184 2972522 3014921 3072888 3322566 3445624 3460548 3578148 3726744 3805332 3821814 3876327 4037306 4122443 4174506 4192587 4430088 4439554 4449276 4458783 4609332 4791528 5095752 5168436 5190822 5520398 5566008 5590116 5707998 5732721 5945044 6029842 6055959 6261759 6645132 6659331 6921096 7156296 7610664 7643628 7752654 7786233 8074612 8244886 8280597 8349012 8385174 8561997 8879108 8898552 8917566 9044763 9218664 10336872 10381644 10403827 11040796 11180232 11415996 11465442 11628981 11890088 12059684 12111918 12367329 12523518 13290264 13318662 13376349 14998877 15287256 15505308 15538439 15572466 16149224 16489772 16561194 16698024 16770348 17123994 17758216 17835132 18089526 18167877 19321393 19977993 20763288 20807654 22081592 22831992 22930884 23257962 24119368 24223836 24734658 24841791 25047036 26637324 26752698 27134289 28857101 29997754 31010616 31076878 31144932 31211481 32979544 33122388 33540696 34247988 35670264 36179052 36335754 37101987 38642786 39955986 40129047 41615308 44996631 45861768 46515924 46615317 48447672 49469316 49683582 50094072 53274648 53505396 54268578 54503631 57714202 57964179 59933979 59995508 62153756 62289864 62422962 66244776 68495976 72358104 72671508 74203974 74525373 77285572 79911972 80258094 81402867 83230616 86571303 89993262 93031848 93230634 93634443 98938632 99367164 104992139 107010792 108537156 109007262 111305961 115428404 115928358 119867958 119991016 124307512 124845924 134989893 135249751 139845951 145343016 148407948 149050746 154571144 159823944 160516188 162805734 173142606 173892537 179986524 186461268 187268886 194985401 198734328 201999707 209984278 217074312 218014524 222611922 230856808 231856716 239735916 249691848 259713909 269979786 270499502 279691902 280903329 296815896 298101492 314976417 321032376 325611468 346285212 347785074 359973048 372922536 374537772 389970802 403999414 404969679 405749253 419537853 419968556 436029048 445223844 463713432 479471832 519427818 521677611 539959572 540999004 559383804 561806658 584956203 596202984 605999121 629952834 651222936 692570424 695570148 734944973 749075544 779141727 779941604 807998828 809939358 811498506 839075706 839937112 890447688 944929251 1004924759 1038855636 1043355222 1079919144 1081998008 1118767608 1123613316 1169912406 1211998242 1217247759 1259905668 1364897807 1391140296 1469889946 1558283454 1559883208 1615997656 1619878716 1622997012 1678151412 1754868609 1817997363 1889858502 2009849518 2077711272 2086710444 2204834919 2247226632 2339824812 2423996484 2434495518 2519811336 2729795614 2834787753 2939779892 3014774277 3116566908 3239757432 3245994024 3356302824 3509737218 3635994726 3651743277 3779717004 4019699036 4094693421 4173420888 4409669838 4679649624 4847992968 4868991036 5264605827 5453992089 5459591228 5669575506 5879559784 6029548554 6233133816 6614504757 7019474436 7034473313 7271989452 7303486554 7559434008 8039398072 8189386842 8819339676 9044322831 9554284649 9737982072 10529211654 10907984178 10919182456 11339151012 12059097108 12284080263 13064021867 13229009514 14038948872 14068946626 14543978904 14606973108 16378773684 17638679352 18088645662 19108569298 19843514271 21058423308 21103419939 21815968356 22678302024 24118194216 24568160526 26128043734 26458019028 27132968493 28137893252 28662853947 29213946216 32757547368 36177291324 36852240789 38217138596 39192065601 39687028542 42116846616 42206839878 43631936712 49136321052 49241313191 52256087468 52916038056 54265936986 56275786504 57325707894 63310259817 72354582648 73704481578 76434277192 78384131202 79374057084 84413679756 85988561841 91448153069 98272642104 98482626382 104512174936 108531873972 114651415788 117576196803 126620519634 147408963156 147723939573 156768262404 158748114168 168827359512 171977123682 182896306138 189930779451 196965252764 217063747944 229302831576 235152393606 253241039268 257965685523 274344459207 294817926312 295447879146 313536524808 343954247364 352728590409 365792612276 379861558902 393930505528 443171818719 470304787212 506482078536 515931371046 548688918414 590895758292 640137071483 687908494728 705457180818 731585224552 759723117804 823033377621 886343637438 940609574424 1031862742092 1097377836828 1181791516584 1280274142966 1329515456157 1410914361636 1519446235608 1646066755242 1772687274876 1920411214449 2063725484184 2194755673656 2469100132863 2560548285932 2659030912314 2821828723272 3292133510484 3545374549752 3840822428898 4938200265726 5121096571864 5318061824628 5761233643347 6584267020968 7681644857796 9876400531452 10636123649256 11522467286694 15363289715592 17283700930041 19752801062904 23044934573388 34567401860082 46089869146776 69134803720164 138269607440328
- Sum of all divisors σ(n): 488596745952000
- Sum of proper divisors (its aliquot sum) s(n): 350327138511672
- 138269607440328 is an abundant number, because the sum of its proper divisors (350327138511672) is greater than itself. Its abundance is 212057531071344
Bases of 138269607440328
- Binary: 111110111000001011001101101010110101111110010002
- Hexadecimal: 0x7DC166D5AFC8
- Base-36: 1D0G6I95U0
Squares and roots of 138269607440328
- 138269607440328 squared (1382696074403282) is 19118484341702408216080747584
- 138269607440328 cubed (1382696074403283) is 2643505324781249668204194053676282910167552
-
The
square root of 138269607440328 is 11758809.7799193945 -
The
cube root of 138269607440328 is 51710.1236917375
Scales and comparisons
How big is 138269607440328?- 138,269,607,440,328 seconds is equal to 4,396,545 years, 42 weeks, 4 days, 16 hours, 58 minutes, 48 seconds.
-
To count from 1 to 138,269,607,440,328 would take you about ten million, nine hundred ninety-one thousand, three hundred sixty-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 138269607440328 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138269607440328
- 138269607440328 backwards is 823044706962831
- 138269607440328 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138269607440328's digits is 63
- More coming soon!
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The information we have on file for 138269607440328 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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