138113293618440
138,113,293,618,440 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138113293618440 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138113293618440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138113293618440:
23 × 32 × 5 × 7 × 172 × 19 × 732 × 1873
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 17 × 17 × 19 × 73 × 73 × 1873)See below for interesting mathematical facts about the number 138113293618440 from the Numbermatics database.
Names of 138113293618440
- Cardinal: 138113293618440 can be written as One hundred thirty-eight trillion, one hundred thirteen billion, two hundred ninety-three million, six hundred eighteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3811329361844 × 1014
Factors of 138113293618440
Divisors of 138113293618440
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 17 18 19 20 21 24 28 30 34 35 36 38 40 42 45 51 56 57 60 63 68 70 72 73 76 84 85 90 95 102 105 114 119 120 126 133 136 140 146 152 153 168 170 171 180 190 204 210 219 228 238 252 255 266 280 285 289 292 306 315 323 340 342 357 360 365 380 399 408 420 438 456 476 504 510 511 532 570 578 584 595 612 630 646 657 665 680 684 714 730 760 765 798 840 855 867 876 952 969 1020 1022 1064 1071 1095 1140 1156 1190 1197 1224 1241 1260 1292 1314 1330 1368 1387 1428 1445 1460 1530 1533 1596 1615 1710 1734 1752 1785 1873 1938 1995 2023 2040 2044 2142 2190 2261 2280 2312 2380 2394 2482 2520 2555 2584 2601 2628 2660 2774 2856 2890 2907 2920 3060 3066 3192 3230 3285 3420 3468 3570 3723 3746 3876 3990 4046 4088 4161 4284 4335 4380 4522 4599 4760 4788 4845 4964 5110 5202 5256 5320 5329 5355 5491 5548 5619 5780 5814 5985 6069 6120 6132 6205 6460 6570 6783 6840 6935 6936 7140 7446 7492 7665 7752 7980 8092 8322 8568 8670 8687 8760 9044 9198 9365 9576 9690 9709 9928 10115 10220 10404 10658 10710 10982 11096 11169 11238 11305 11560 11628 11970 12138 12264 12410 12483 12920 13005 13111 13140 13566 13870 14280 14535 14892 14984 15330 15960 15987 16184 16473 16644 16857 17340 17374 18088 18207 18396 18615 18730 19380 19418 20230 20349 20440 20805 20808 21097 21316 21420 21964 22338 22476 22610 22995 23256 23579 23940 24276 24820 24966 26010 26061 26222 26280 26645 27132 27455 27740 28095 29070 29127 29784 30345 30660 31841 31974 32946 33288 33714 33915 34680 34748 35587 36414 36792 37230 37303 37460 38437 38760 38836 39333 40460 40698 41610 42194 42632 42840 43435 43928 44676 44952 45220 45990 47158 47880 47961 48545 48552 49419 49640 49932 52020 52122 52444 53290 54264 54910 55480 55845 56190 58140 58254 60690 61320 62415 63291 63682 63948 65555 65892 67428 67830 69496 70737 71174 72828 74460 74606 74920 76874 77672 78183 78666 79935 80920 81396 82365 83220 84285 84388 86870 87381 89352 90440 90593 91035 91980 94316 95523 95922 97090 98838 99864 101251 101745 104040 104244 104888 105485 106580 106761 109820 111690 111909 112380 115311 116280 116508 117895 117999 121380 124830 126582 127364 127896 130305 131110 131784 134856 135660 136729 141474 142348 145635 145656 147679 148920 149212 153748 156366 157332 159205 159870 162792 164730 165053 166440 168570 168776 173740 174762 177935 181186 182070 183960 186515 188632 189873 191046 191844 192185 194180 196665 197676 202502 203490 208488 210970 212211 213160 213522 219640 222887 223380 223818 224760 230622 233016 235790 235998 239805 242760 247095 249109 249660 253164 254728 260610 262220 271320 271779 273458 282948 284696 286569 291270 295358 298424 303753 307496 312732 314664 316455 318410 319740 320283 329460 330106 335727 337140 345933 347480 349524 353685 355870 362372 364140 373030 379746 382092 383688 384370 388360 390915 393330 395352 400843 405004 406980 410187 421940 424422 427044 436905 443037 445774 446760 447636 452965 461244 471580 471996 477615 479610 494190 495159 498218 499320 506255 506328 521220 524440 533805 541297 543558 546916 559545 565896 573138 576555 582540 589995 590716 604979 607506 625464 632910 634151 636820 639480 640566 658920 660212 668661 671454 674280 683645 691866 699048 707370 708757 711740 724744 728280 738395 746060 747327 759492 764184 768740 781830 786660 801686 810008 813960 815337 820374 825265 843880 848844 854088 873810 886074 891548 895272 905930 911259 922488 943160 943992 949365 955230 957103 959220 988380 990318 996436 1012510 1042440 1061055 1067610 1082594 1087116 1093832 1114435 1119090 1146276 1153110 1165080 1179990 1181432 1202529 1209958 1215012 1230561 1245545 1265820 1268302 1273640 1281132 1320424 1329111 1337322 1342908 1358895 1367290 1383732 1414740 1417514 1423480 1432845 1476790 1485477 1492120 1494654 1518765 1518984 1537480 1540081 1563660 1573320 1601415 1603372 1623891 1630674 1640748 1650530 1678635 1697688 1721267 1729665 1747620 1772148 1783096 1811860 1814937 1822518 1898730 1902453 1910460 1914206 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80768007964 85519067256 86537151390 90093472680 90270126548 94598146314 95580133992 96717992730 99576996120 100960009955 103844581668 105109051460 106898834070 109613725094 111291936840 112837658185 115382868520 116061591276 119475167490 121152011946 126130861752 128957323640 129805727085 135140209020 135405189822 142531778760 145076989095 157663577190 159300223320 161536015928 164420587641 173074302780 180540253096 181728017919 189196292628 193435985460 201920019910 203107784733 207689163336 210218102920 213797668140 219227450188 225675316370 232123182552 236495365785 238950334980 242304023892 259611454170 270280418040 270810379644 274034312735 290153978190 302880029865 315327154380 328841175282 338512974555 346148605560 363456035838 378392585256 383648037829 386871970920 403840039820 406215569466 427595336280 438454900376 451350632740 472990731570 477900669960 484608047784 493261762923 519222908340 541620759288 548068625470 580307956380 605760059730 630654308760 657682350564 677025949110 726912071676 767296075658 807680079640 812431138932 822102938205 902701265480 908640089595 945981463140 986523525846 1015538923665 1038445816680 1096137250940 1150944113487 1160615912760 1211520119460 1315364701128 1354051898220 1453824143352 1534592151316 1624862277864 1644205876410 1817280179190 1891962926280 1918240189145 1973047051692 2031077847330 2192274501880 2301888226974 2423040238920 2466308814615 2708103796440 3069184302632 3288411752820 3452832340461 3634560358380 3836480378290 3946094103384 4062155694660 4603776453948 4932617629230 5754720567435 6576823505640 6905664680922 7269120716760 7672960756580 8124311389320 9207552907896 9865235258460 11509441134870 13811329361844 15345921513160 17264161702305 19730470516920 23018882269740 27622658723688 34528323404610 46037764539480 69056646809220 138113293618440
- Sum of all divisors σ(n): 581900558428800
- Sum of proper divisors (its aliquot sum) s(n): 443787264810360
- 138113293618440 is an abundant number, because the sum of its proper divisors (443787264810360) is greater than itself. Its abundance is 305673971191920
Bases of 138113293618440
- Binary: 111110110011101000000011100111000001101000010002
- Hexadecimal: 0x7D9D01CE0D08
- Base-36: 1CYGDD1GY0
Squares and roots of 138113293618440
- 138113293618440 squared (1381132936184402) is 19075281874133419228308033600
- 138113293618440 cubed (1381132936184403) is 2634550006336695373210213126405465099584000
-
The
square root of 138113293618440 is 11752161.2318092369 -
The
cube root of 138113293618440 is 51690.6302420061
Scales and comparisons
How big is 138113293618440?- 138,113,293,618,440 seconds is equal to 4,391,575 years, 27 weeks, 1 day, 22 hours, 54 minutes.
-
To count from 1 to 138,113,293,618,440 would take you about ten million, nine hundred seventy-eight thousand, nine hundred thirty-eight 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 138113293618440 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138113293618440
- 138113293618440 backwards is 044816392311831
- The number of decimal digits it has is: 15
- The sum of 138113293618440's digits is 54
- More coming soon!
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"Number 138113293618440 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138113293618440 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138113293618440/
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The information we have on file for 138113293618440 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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