138348075783960
138,348,075,783,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138348075783960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138348075783960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138348075783960:
23 × 32 × 5 × 73 × 19 × 61 × 571 × 1693
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 19 × 61 × 571 × 1693)See below for interesting mathematical facts about the number 138348075783960 from the Numbermatics database.
Names of 138348075783960
- Cardinal: 138348075783960 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, seventy-five million, seven hundred eighty-three thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3834807578396 × 1014
Factors of 138348075783960
Divisors of 138348075783960
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 28 30 35 36 38 40 42 45 49 56 57 60 61 63 70 72 76 84 90 95 98 105 114 120 122 126 133 140 147 152 168 171 180 183 190 196 210 228 244 245 252 266 280 285 294 305 315 342 343 360 366 380 392 399 420 427 441 456 488 490 504 532 549 570 571 588 610 630 665 684 686 732 735 760 798 840 854 855 882 915 931 980 1029 1064 1098 1140 1142 1159 1176 1197 1220 1260 1281 1330 1368 1372 1464 1470 1596 1693 1708 1710 1713 1715 1764 1830 1862 1960 1995 2058 2135 2196 2205 2280 2284 2318 2394 2440 2520 2562 2660 2744 2745 2793 2855 2940 2989 3087 3192 3386 3416 3420 3426 3430 3477 3528 3660 3724 3843 3990 3997 4116 4270 4392 4410 4568 4636 4655 4788 5079 5124 5139 5145 5320 5490 5586 5710 5795 5880 5978 5985 6174 6405 6517 6772 6840 6852 6860 6954 7320 7448 7686 7980 7994 8113 8232 8379 8465 8540 8565 8820 8967 9272 9310 9576 10158 10248 10278 10290 10431 10849 10980 11172 11420 11590 11851 11956 11970 11991 12348 12810 13034 13544 13704 13720 13908 13965 14945 15237 15372 15435 15960 15988 16226 16758 16930 17080 17130 17385 17640 17934 18620 19215 19551 19985 20316 20556 20580 20862 20923 21698 21960 22344 22840 23180 23702 23912 23940 23982 24339 24696 25395 25620 25695 26068 26901 27816 27930 27979 29890 30474 30744 30870 31976 32167 32452 32547 32585 33516 33860 34260 34770 34831 35553 35868 35973 37240 38430 39102 39970 40565 40632 41112 41160 41724 41846 41895 43396 44835 46360 47404 47880 47964 48678 50790 51240 51390 52136 52155 53802 54245 55860 55958 56791 58653 59255 59780 59955 60948 61740 62769 64334 64904 65094 65170 67032 67720 68520 69540 69662 71106 71736 71946 73017 75943 76185 76860 78204 79940 81130 82957 83448 83692 83790 83937 86792 89670 94808 95928 96501 97356 97641 97755 101580 102780 103273 104310 104493 104615 106659 107604 108490 111720 111916 113582 117306 118510 119560 119910 121695 121896 123480 125538 128668 130188 130340 134505 139080 139324 139895 142212 143892 146034 151886 152370 153720 156408 159880 160835 162260 162735 165914 167384 167580 167874 170373 174155 177765 179340 179865 188307 193002 194712 195282 195510 195853 203160 205560 206546 208620 208986 209230 213318 215208 216980 223832 225169 227164 227829 234612 237020 239820 243390 243817 248871 251076 251811 257336 260376 260680 269010 278648 279790 283955 284424 287784 289503 292068 293265 303772 304740 309819 313479 313845 321670 324520 325470 331828 335160 335748 340746 348310 355530 358680 359730 365085 376614 379715 386004 390564 391020 391706 397537 413092 414785 417240 417972 418460 419685 426636 433960 450338 454328 455658 469224 474040 479640 482505 486780 487634 488205 497742 502152 503622 511119 516365 522465 531601 533295 538020 559580 567910 579006 580699 584136 586530 587559 607544 609480 619638 626958 627690 643340 650940 661789 663656 671496 675507 681492 683487 696620 711060 719460 722911 730170 731451 746613 753228 759430 772008 781128 782040 783412 795074 826184 829570 835944 836920 839370 851865 853272 900676 911316 929457 941535 965010 966703 973560 975268 976410 979265 995484 1007244 1022238 1032730 1044930 1063202 1066590 1076040 1119160 1125845 1135820 1139145 1158012 1161398 1173060 1175118 1192611 1219085 1239276 1244355 1253916 1255380 1259055 1286680 1301880 1323578 1351014 1362984 1366974 1393240 1422120 1438920 1445822 1447515 1460340 1462902 1493226 1506456 1518860 1549095 1566824 1567395 1576183 1590148 1594803 1659140 1678740 1703730 1706719 1742097 1762677 1801352 1822632 1858914 1883070 1930020 1933406 1950536 1952820 1958530 1962187 1985367 1987685 1990968 2014488 2026521 2044476 2065460 2089860 2126404 2133180 2168733 2194353 2251690 2271640 2278290 2316024 2322796 2346120 2350236 2385222 2438170 2478552 2488710 2507832 2510760 2518110 2555595 2647156 2658005 2702028 2733948 2891644 2895030 2900109 2903495 2920680 2925804 2937795 2986452 3037720 3098190 3134790 3152366 3180296 3189606 3308945 3318280 3357480 3377535 3407460 3413438 3417435 3484194 3525354 3577833 3614555 3657255 3717828 3721207 3733065 3766140 3860040 3866812 3905640 3917060 3924374 3970734 3975370 4053042 4088952 4130920 4179720 4252808 4266360 4337466 4388706 4503380 4556580 4632523 4645592 4647285 4700472 4728549 4770444 4784409 4833515 4876340 4977420 5036220 5060377 5111190 5120157 5226291 5294312 5316010 5404056 5467896 5783288 5790060 5800218 5806990 5851608 5875590 5886561 5956101 5963055 5972904 6196380 6269580 6304732 6379212 6506199 6617890 6755070 6766921 6814920 6826876 6834870 6968388 7050708 7155666 7229110 7314510 7435656 7442414 7466130 7532280 7733624 7834120 7848748 7880915 7941468 7950740 7974015 8106084 8533595 8674932 8700327 8710485 8777412 8813385 9006760 9113160 9265046 9294570 9457098 9540888 9568818 9667030 9752680 9810935 9926835 9954840 10072440 10120754 10132605 10222380 10240314 10452582 10632020 10843665 10971765 11033281 11163621 11580120 11600436 11613980 11751180 11773122 11912202 11926110 11947033 12392760 12539160 12609464 12758424 13012398 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41205927 41692707 41810328 43374660 43501635 43887060 44133124 44654484 45543393 46325230 47092488 47285490 47368447 47648808 47704440 47788132 47844090 50603770 51201570 52049592 52262910 54135368 54941236 55102071 55166405 55590276 55818105 56742588 58002180 58865610 58968883 59561010 59735165 60724524 60902289 61441884 63047320 63792120 64855322 65061990 66199686 66981726 67669210 68268760 68676545 69487845 69602616 69683880 70507080 70638732 70845278 70928235 71556660 71682198 73469428 74424140 75905655 76802355 78487480 79414680 81060840 81203052 82411854 83385414 86749320 87003270 87774120 88266248 88298415 89308968 91086786 91836785 92650460 94570980 94736894 95576264 95688180 96147163 97282983 99299529 101207540 101503815 102403140 104525820 106267917 107523297 109882472 110204142 110332810 111180552 111636210 113485176 116004360 117731220 117937766 119122020 119470330 121449048 121804578 122883768 123617781 128571499 129710644 130123980 132399372 133963452 135338420 137353090 138975690 141277464 141690556 141856470 142105341 143113320 143364396 146938856 148848280 151811310 153604710 162138305 162406104 164823708 165306213 165499215 166770828 167454315 174006540 176596830 176906649 177113195 179205495 182173572 183673570 185300920 189141960 189473788 191376360 192294326 194565966 198599058 202415080 203007630 204806280 206029635 208463535 209051640 212535834 215046594 220408284 220665620 223272420 226993627 227716965 235462440 235875532 236842235 238244040 238940660 243609156 247235562 257142998 259421288 260247960 264798744 267926904 270676840 274706180 275510355 277951380 283381112 283712940 284210682 286728792 288441489 291848949 294844415 303622620 304511445 307209420 318803751 324276610 329647416 330612426 330998430 331579129 333541656 334908630 348013080 353193660 353813298 354226390 358410990 364347144 367347140 378947576 384588652 385714497 389131932 397198116 406015260 412059270 412782181 416927070 425071668 426316023 430093188 440816568 441331240 446544840 453987254 455433930 471751064 473684470 477881320 480735815 486414915 487218312 494471124 496497645 514285996 530719947 531339585 537616485 549412360 551020710 555902760 567425880 568421364 576882978 583697898 589688830 607245240 609022890 614418840 618088905 637607502 642857495 648553220 661224852 661996860 663158258 669817260 673030141 680980881 706387320 707626596 708452780 710526705 716821980 734694280 769177304 771428994 778263864 794396232 812030520 824118540 825564362 826531065 833854140 850143336 852632046 860186376 865324467 884533245 900000493 907974508 910867860 947368940 961471630 972829830 988942248 992995290 994737387 1028571992 1061439894 1062679170 1075232970 1102041420 1120408777 1134968135 1136842728 1153765956 1157143491 1167395796 1179377660 1218045780 1236177810 1238346543 1275215004 1285714990 1297106440 1322449704 1323993720 1326316516 1339634520 1346060282 1361961762 1415253192 1416905560 1421053410 1433643960 1442207445 1459244745 1542857988 1594018755 1648237080 1651128724 1653062130 1657895645 1667708280 1705264092 1730648934 1769066490 1800000986 1815949016 1821735720 1894737880 1922943260 1928572485 1945659660 1985990580 1989474774 2019090423 2042942643 2063910905 2122879788 2125358340 2131580115 2150465940 2204082840 2240817554 2269936270 2307531912 2314286982 2334791592 2358755320 2436091560 2472355620 2476693086 2550430008 2571429980 2652633032 2653599735 2692120564 2700001479 2723923524 2842106820 2884414890 2889475267 2918489490 2984212161 3085715976 3188037510 3302257448 3306124260 3315791290 3361226331 3365150705 3404904405 3410528184 3461297868 3538132980 3600001972 3715039629 3845886520 3857144970 3891319320 3971981160 3978949548 4038180846 4085885286 4127821810 4245759576 4250716680 4263160230 4300931880 4326622335 4481635108 4500002465 4539872540 4628573964 4944711240 4953386172 4973686935 5142859960 5307199470 5384241128 5400002958 5447847048 5602043885 5684213640 5768829780 5778950534 5785717455 5836978980 5968424322 6057271269 6191732715 6300003451 6376075020 6612248520 6631582580 6722452662 6730301410 6809808810 6922595736 7076265960 7200003944 7430079258 7714289940 7842861439 7957899096 8076361692 8100004437 8171770572 8255643620 8526320460 8653244670 8668425801 8963270216 9000004930 9079745080 9257147928 9906772344 9947373870 10083678993 10095452115 10214713215 10614398940 10800005916 11204087770 11537659560 11557901068 11571434910 11673957960 11936848644 12114542538 12383465430 12600006902 12752150040 13263165160 13444905324 13460602820 13500007395 13619617620 14447376335 14860158516 14921060805 15428579880 15685722878 16152723384 16200008874 16343541144 16511287240 16806131655 17052640920 17306489340 17336851602 18000009860 18575198145 18900010353 19894747740 20167357986 20190904230 20226326869 20429426430 21228797880 21600011832 22408175540 23115802136 23142869820 23528584317 23873697288 24229085076 24766930860 25200013804 26005277403 26889810648 26921205640 27000014790 27239235240 28894752670 29720317032 29842121610 30286356345 31371445756 31500017255 32400017748 33612263310 34612978680 34673703204 36000019720 37150396290 37800020706 39214307195 39789495480 40334715972 40381808460 40452653738 40500022185 40858852860 43342129005 44816351080 46285739640 47057168634 48458170152 49533861720 50400027608 50418394965 52010554806 54000029580 54900030073 56700031059 57789505340 59684243220 60572712690 60678980607 62742891512 63000034510 64800035496 67224526620 69347406408 70585752951 74300792580 75600041412 78428614390 80669431944 80763616920 80905307476 81000044370 81717705720 86684258010 94114337268 94500051765 100836789930 101131634345 104021109612 108000059160 109800060146 113400062118 115579010680 117642921585 119368486440 121145425380 121357961214 126000069020 130026387015 134449053240 141171505902 148601585160 151200082824 156857228780 161810614952 162000088740 164700090219 173368516020 182036941821 188228674536 189000103530 201673579860 202263268690 208042219224 219600120292 226800124236 235285843170 242290850760 242715922428 252000138040 260052774030 274500150365 282343011804 283500155295 303394903035 313714457560 324000177480 329400180438 346737032040 352928764755 364073883642 378000207060 384300210511 403347159720 404526537380 439200240584 453600248472 470571686340 485431844856 494100270657 520105548060 549000300730 564686023608 567000310590 606789806070 658800360876 705857529510 728147767284 756000414120 768600421022 809053074760 823500451095 910184709105 941143372680 988200541314 1040211096120 1098000601460 1134000621180 1152900631533 1213579612140 1317600721752 1411715059020 1456295534568 1537200842044 1647000902190 1820369418210 1921501052555 1976401082628 2196001202920 2268001242360 2305801263066 2427159224280 2470501353285 2823430118040 3074401684088 3294001804380 3458701894599 3640738836420 3843002105110 3952802165256 4611602526132 4941002706570 5764503157665 6588003608760 6917403789198 7281477672840 7686004210220 9223205052264 9882005413140 11529006315330 13834807578396 15372008420440 17293509472995 19764010826280 23058012630660 27669615156792 34587018945990 46116025261320 69174037891980 138348075783960
- Sum of all divisors σ(n): 562311509760000
- Sum of proper divisors (its aliquot sum) s(n): 423963433976040
- 138348075783960 is an abundant number, because the sum of its proper divisors (423963433976040) is greater than itself. Its abundance is 285615358192080
Bases of 138348075783960
- Binary: 111110111010011101010111110100110010111000110002
- Hexadecimal: 0x7DD3ABE99718
- Base-36: 1D1G88A3A0
Squares and roots of 138348075783960
- 138348075783960 squared (1383480757839602) is 19140190073124339368593281600
- 138348075783960 cubed (1383480757839603) is 2648008466756004997018153058695309043136000
-
The
square root of 138348075783960 is 11762145.8834670131 -
The
cube root of 138348075783960 is 51719.9037162001
Scales and comparisons
How big is 138348075783960?- 138,348,075,783,960 seconds is equal to 4,399,040 years, 45 weeks, 2 days, 3 hours, 6 minutes.
-
To count from 1 to 138,348,075,783,960 would take you about ten million, nine hundred ninety-seven thousand, six hundred two 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 138348075783960 cubic inches would be around 4310 feet tall.
Recreational maths with 138348075783960
- 138348075783960 backwards is 069387570843831
- 138348075783960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138348075783960's digits is 72
- More coming soon!
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"Number 138348075783960 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138348075783960 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138348075783960/
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The information we have on file for 138348075783960 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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