138029611232520
138,029,611,232,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 138029611232520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138029611232520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138029611232520:
23 × 32 × 5 × 75 × 413 × 331
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 41 × 41 × 41 × 331)See below for interesting mathematical facts about the number 138029611232520 from the Numbermatics database.
Names of 138029611232520
- Cardinal: 138029611232520 can be written as One hundred thirty-eight trillion, twenty-nine billion, six hundred eleven million, two hundred thirty-two thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3802961123252 × 1014
Factors of 138029611232520
Divisors of 138029611232520
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 41 42 45 49 56 60 63 70 72 82 84 90 98 105 120 123 126 140 147 164 168 180 196 205 210 245 246 252 280 287 294 315 328 331 343 360 369 392 410 420 441 490 492 504 574 588 615 630 662 686 735 738 820 840 861 882 980 984 993 1029 1148 1176 1230 1260 1324 1372 1435 1470 1476 1640 1655 1681 1715 1722 1764 1845 1960 1986 2009 2058 2205 2296 2317 2401 2460 2520 2583 2648 2744 2870 2940 2952 2979 3087 3310 3362 3430 3444 3528 3690 3972 4018 4116 4305 4410 4634 4802 4920 4965 5043 5145 5166 5740 5880 5958 6027 6174 6620 6724 6860 6888 6951 7203 7380 7944 8036 8232 8405 8610 8820 9268 9604 9930 10045 10086 10290 10332 11480 11585 11767 11916 12005 12054 12348 12915 13240 13448 13571 13720 13902 14063 14406 14760 14895 15129 15435 16072 16219 16807 16810 17220 17640 18081 18536 19208 19860 20090 20172 20580 20664 20853 21609 23170 23534 23832 24010 24108 24696 25215 25830 27142 27804 28126 28812 29790 30135 30258 30870 32438 33614 33620 34440 34755 35301 36015 36162 39720 40180 40344 40713 41160 41706 42189 43218 46340 47068 48020 48216 48657 50421 50430 51660 54284 55608 56252 57624 58835 59580 60270 60516 61740 64876 67228 67240 67855 68921 69510 70315 70602 72030 72324 75645 80360 81095 81426 82369 83412 84035 84378 86436 90405 92680 94136 94997 96040 97314 98441 100842 100860 103320 104265 105903 108045 108568 112504 113533 117670 119160 120540 121032 122139 123480 126567 129752 134456 135710 137842 139020 140630 141204 144060 144648 145971 151263 151290 162190 162852 164738 166824 168070 168756 172872 176505 180810 189994 194628 196882 201684 201720 203565 206763 208530 210945 211806 216090 227066 235340 241080 243285 244278 247107 252105 253134 271420 275684 278040 281260 282408 284991 288120 291942 295323 302526 302580 324380 325704 329476 336140 337512 340599 344605 353010 361620 379988 389256 393764 403368 407130 411845 413526 417060 421890 423612 432180 454132 470680 474985 482447 486570 488556 492205 494214 504210 506268 529515 542840 551368 556411 562520 567665 569982 576583 583884 590646 605052 605160 610695 620289 632835 648760 658952 664979 672280 681198 689087 689210 706020 723240 729855 741321 756315 759976 787528 794731 814260 823690 827052 834120 843780 847224 854973 864360 885969 908264 949970 964894 973140 977112 984410 988428 1008420 1012536 1021797 1033815 1059030 1112822 1135330 1139964 1153166 1167768 1181292 1210104 1221390 1235535 1240578 1265670 1329958 1362396 1378174 1378420 1412040 1424955 1447341 1459710 1476615 1482642 1512630 1589462 1628520 1647380 1654104 1669233 1687560 1702995 1709946 1729749 1771938 1899940 1929788 1946280 1968820 1976856 1994937 2016840 2043594 2067261 2067630 2118060 2225644 2270660 2279928 2306332 2362584 2384193 2412235 2442780 2471070 2481156 2531340 2659916 2724792 2756348 2756840 2782055 2849910 2882915 2894682 2919420 2953230 2965284 3025260 3101445 3178924 3294760 3324895 3338466 3377129 3405990 3419892 3445435 3459498 3543876 3706605 3799880 3859576 3894877 3937640 3973655 3989874 4036081 4087188 4134522 4135260 4236120 4274865 4342023 4429845 4451288 4541320 4612664 4654853 4768386 4824470 4885560 4942140 4962312 5007699 5062680 5108985 5189247 5319832 5512696 5563117 5564110 5699820 5765830 5789364 5838840 5906460 5930568 5984811 6050520 6201783 6202890 6357848 6649790 6676932 6754258 6811980 6839784 6890870 6918996 7087752 7152579 7236705 7413210 7789754 7947310 7979748 8072162 8174376 8269044 8270520 8346165 8549730 8648745 8684046 8859690 9309706 9536772 9648940 9884280 9974685 10015398 10131387 10217970 10336305 10378494 11126234 11128220 11399640 11531660 11578728 11684631 11812920 11920965 11969622 12108243 12403566 12405780 13299580 13353864 13508516 13623960 13781740 13837992 13964559 14305158 14473410 14826420 15579508 15894620 15959496 16144324 16538088 16689351 16692330 16885645 17099460 17297490 17368092 17719380 18619412 19073544 19297880 19474385 19949370 20030796 20180405 20262774 20435940 20672610 20756988 21710115 22252468 22256440 22812851 23063320 23274265 23369262 23639903 23841930 23939244 24216486 24807132 24811560 25038495 25946235 26599160 27017032 27264139 27563480 27815585 27929118 28252567 28610316 28946820 29652840 29924055 30394161 31008915 31159016 31789240 32288648 32583971 33378702 33384660 33771290 34198920 34594980 34736184 35053893 35438760 35762895 36324729 37238824 38948770 39898740 40061592 40360810 40525548 40871880 41345220 41513976 41893677 43420230 44504936 45625702 46548530 46738524 47279806 47683860 47878488 48432972 49614264 50068053 50076990 50656935 51892470 54528278 55631170 55858236 56505134 57220632 57893640 58423155 59848110 60541215 60788322 62017830 65167942 66757404 66769320 67542580 68438553 69189960 69822795 70107786 70919709 71525790 72649458 77897540 79797480 80721620 81051096 81792417 82690440 83446755 83787354 84757701 86840460 91251404 93097060 93477048 94559612 95367720 96865944 97751913 100136106 100153980 101313870 103784940 109056556 111262340 111716472 113010268 114064255 116846310 118199515 119696220 121082430 121576644 124035660 130335884 133514808 135085160 136320695 136877106 139645590 140215572 141262835 141839418 143051580 145298916 151970805 155795080 159689957 161443240 162919855 163584834 165479321 166893510 167574708 169515402 173680920 175269465 181623645 182502808 186194120 189119224 190848973 195503826 200272212 200307960 202627740 205315659 207569880 209468385 212759127 218113112 222524680 226020536 228087797 228128510 233692620 236399030 239392440 242164860 243153288 245377251 248071320 250340265 254273103 260671768 272641390 273754212 279291180 280431144 282525670 283678836 286103160 290597832 293255739 303941610 319379914 325839710 327169668 330958642 333787020 335149416 339030804 342192765 350538930 354598545 363247290 381697946 391007652 400544424 405255480 408962085 410631318 418936770 423788505 425518254 456175594 456257020 467385240 472798060 479069871 484329720 488759565 490754502 496437963 500680530 508546206 545282780 547508424 558582360 565051340 567357672 572546919 586511478 607883220 638759828 651679420 654339336 661917284 667574040 678061608 684263391 684385530 701077860 709197090 726494580 763395892 782015304 798449785 817924170 821262636 827396605 837873540 847577010 851036508 912351188 912514040 945596120 954244865 958139742 977519130 981509004 992875926 1001361060 1017092412 1026578295 1063795635 1090565560 1117829699 1130102680 1140438985 1145093838 1158355247 1173022956 1215766440 1226886255 1271365515 1277519656 1303358840 1323834568 1335942811 1368526782 1368771060 1402155720 1418394180 1437209613 1452989160 1466278695 1489313889 1526791784 1596899570 1635848340 1642525272 1654793210 1675747080 1695154020 1702073016 1717640757 1824702376 1908489730 1916279484 1955038260 1963018008 1985751852 2002722120 2034184824 2052790173 2053156590 2127591270 2235659398 2280877970 2290187676 2316710494 2346045912 2395349355 2453772510 2482189815 2542731030 2671885622 2737053564 2737542120 2836788360 2862734595 2874419226 2932557390 2978627778 3193799140 3271696680 3309586420 3353489097 3390308040 3421316955 3435281514 3475065741 3816979460 3832558968 3910076520 3971503704 4007828433 4105580346 4106313180 4255182540 4471318796 4561755940 4580375352 4633420988 4790698710 4907545020 4964379630 5085462060 5343771244 5474107128 5589148495 5725469190 5748838452 5791776235 5865114780 5957255556 6387598280 6619172840 6679714055 6706978194 6842633910 6870563028 6950131482 7186048065 7446569445 7633958920 7824807893 8015656866 8211160692 8212626360 8510365080 8588203785 8942637592 9123511880 9266841976 9351599677 9581397420 9815090040 9928759260 10060467291 10170924120 10263950865 10425197223 10687542488 11178296990 11450938380 11497676904 11583552470 11730229560 11914511112 12023485299 13359428110 13413956388 13685267820 13741126056 13900262964 14372096130 14893138890 15649615786 16031313732 16422321384 16767445485 17176407570 17375328705 18703199354 19162794840 19857518520 20039142165 20120934582 20527901730 20850394446 22356593980 22901876760 23167104940 23474423679 24046970598 26718856220 26827912776 27370535640 27800525928 28054799031 28744192260 29786277780 31299231572 32062627464 33534890970 34352815140 34750657410 37406398708 39124039465 40078284330 40241869164 41055803460 41700788892 44713187960 46334209880 46757998385 46948847358 48093941196 50302336455 52125986115 53437712440 54773655251 56109598062 57488384520 59572555560 60117426495 62598463144 67069781940 68705630280 69501314820 70423271037 74812797416 78248078930 80156568660 80483738328 82111606920 83401577784 84164397093 93515996770 93897694716 96187882392 100604672910 104251972230 109547310502 112219196124 117372118395 120234852990 134139563880 139002629640 140273995155 140846542074 156496157860 160313137320 164320965753 168328794186 187031993540 187795389432 201209345820 208503944460 219094621004 224438392248 234744236790 240469705980 273868276255 280547990310 281693084148 312992315720 328641931506 336657588372 352116355185 374063987080 383415586757 402418691640 417007888920 420821985465 438189242008 469488473580 480939411960 492962897259 547736552510 561095980620 563386168296 657283863012 673315176744 704232710370 766831173514 821604828765 841643970930 938976947160 985925794518 1095473105020 1122191961240 1150246760271 1314567726024 1408465420740 1533662347028 1643209657530 1683287941860 1917077933785 1971851589036 2190946210040 2300493520542 2464814486295 2816930841480 3067324694056 3286419315060 3366575883720 3450740280813 3834155867570 3943703178072 4600987041084 4929628972590 5751233801355 6572838630120 6901480561626 7668311735140 9201974082168 9859257945180 11502467602710 13802961123252 15336623470280 17253701404065 19718515890360 23004935205420 27605922246504 34507402808130 46009870410840 69014805616260 138029611232520
- Sum of all divisors σ(n): 538062252698880
- Sum of proper divisors (its aliquot sum) s(n): 400032641466360
- 138029611232520 is an abundant number, because the sum of its proper divisors (400032641466360) is greater than itself. Its abundance is 262003030233840
Bases of 138029611232520
- Binary: 111110110001001100001011111001000101101000010002
- Hexadecimal: 0x7D8985F22D08
- Base-36: 1CXDXEPIQ0
Squares and roots of 138029611232520
- 138029611232520 squared (1380296112325202) is 19052173577000611353505550400
- 138029611232520 cubed (1380296112325203) is 2629764111967884332010736759970004979008000
-
The
square root of 138029611232520 is 11748600.3946223315 -
The
cube root of 138029611232520 is 51680.1884057655
Scales and comparisons
How big is 138029611232520?- 138,029,611,232,520 seconds is equal to 4,388,914 years, 35 weeks, 3 days, 19 hours, 42 minutes.
-
To count from 1 to 138,029,611,232,520 would take you about ten million, nine hundred seventy-two thousand, two hundred eighty-six 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 138029611232520 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138029611232520
- 138029611232520 backwards is 025232116920831
- 138029611232520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138029611232520's digits is 45
- More coming soon!
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The information we have on file for 138029611232520 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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