138040487200
138,040,487,200 is an even composite number composed of seven prime numbers multiplied together.
138040487200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138040487200:
25 × 52 × 73 × 11 × 19 × 29 × 83
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 11 × 19 × 29 × 83)See below for interesting mathematical facts about the number 138040487200 from the Numbermatics database.
Names of 138040487200
- Cardinal: 138040487200 can be written as One hundred thirty-eight billion, forty million, four hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.380404872 × 1011
Factors of 138040487200
Divisors of 138040487200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 29 32 35 38 40 44 49 50 55 56 58 70 76 77 80 83 88 95 98 100 110 112 116 133 140 145 152 154 160 166 175 176 190 196 200 203 209 220 224 232 245 266 275 280 290 304 308 319 332 343 350 352 380 385 392 400 406 415 418 440 464 475 490 532 539 550 551 560 580 581 608 616 638 664 665 686 700 725 760 770 784 800 812 830 836 880 913 928 931 950 980 1015 1045 1064 1078 1100 1102 1120 1160 1162 1225 1232 1276 1328 1330 1372 1400 1421 1450 1463 1520 1540 1568 1577 1595 1624 1660 1672 1715 1760 1826 1862 1900 1925 1960 2030 2075 2090 2128 2156 2200 2204 2233 2320 2324 2407 2450 2464 2552 2656 2660 2695 2744 2755 2800 2842 2900 2905 2926 3040 3080 3154 3190 3248 3320 3325 3344 3430 3652 3724 3773 3800 3850 3857 3920 4060 4067 4150 4180 4256 4312 4400 4408 4466 4565 4640 4648 4655 4814 4900 5075 5104 5225 5320 5390 5488 5510 5600 5684 5800 5810 5852 6061 6160 6308 6380 6391 6496 6517 6640 6650 6688 6860 7105 7304 7315 7448 7546 7600 7700 7714 7840 7885 7975 8120 8134 8300 8360 8575 8624 8800 8816 8932 9130 9296 9310 9628 9800 9947 10150 10208 10241 10450 10640 10780 10976 11020 11039 11165 11368 11600 11620 11704 12035 12122 12320 12616 12760 12782 13034 13280 13300 13475 13720 13775 14210 14525 14608 14630 14896 15092 15200 15400 15428 15631 15770 15950 16240 16268 16600 16720 16849 17150 17248 17347 17632 17864 18260 18592 18620 18865 19256 19285 19600 19894 20300 20335 20482 20900 21280 21560 22040 22078 22330 22736 22825 23200 23240 23275 23408 24070 24244 25232 25520 25564 26068 26477 26600 26950 26999 27440 27550 28420 28469 29050 29216 29260 29792 30184 30305 30800 30856 31262 31540 31900 31955 32480 32536 32585 33200 33440 33698 34300 34694 35525 35728 36520 36575 37240 37730 38512 38570 39200 39425 39788 40600 40670 40964 41800 42427 43120 44080 44156 44660 44737 45472 45650 45733 46480 46550 46816 48140 48488 49735 50464 51040 51128 51205 52136 52954 53200 53900 53998 54880 55100 55195 55825 56840 56938 58100 58520 60175 60368 60610 61600 61712 62524 63080 63800 63910 65072 65170 66400 67396 68600 69388 71050 71456 71687 73040 73150 74480 75460 77024 77140 77273 78155 78850 79576 81200 81340 81928 83600 84245 84854 86240 86735 88160 88312 89320 89474 91300 91466 92960 93100 94325 96280 96425 96976 99470 101675 102256 102410 104272 105908 106400 107800 107996 109417 110200 110390 111650 113680 113876 116200 117040 117943 120350 120736 121220 121429 123424 125048 126160 127600 127820 130144 130340 132385 134792 134995 137200 138776 142100 142345 143374 146080 146300 148960 150920 151525 154280 154546 156310 157700 159152 159775 162400 162680 162925 163856 167200 168490 169708 173470 176624 178640 178948 182600 182932 185339 186200 188650 188993 192560 192850 193952 198940 203350 204512 204820 208544 211816 212135 215600 215992 218834 220400 220780 223300 223685 227360 227752 228665 232400 234080 235886 240700 242440 242858 248675 250096 252320 255200 255640 256025 260680 264770 269584 269990 274400 275975 277552 284200 284690 286748 292600 296989 301840 303050 308560 309092 312620 313159 315400 318304 319550 320131 325360 325850 327712 336980 339416 346940 353248 357280 357896 358435 365200 365864 370678 372400 377300 377986 385120 385700 386365 390775 397880 406700 409640 421225 423632 424270 431200 431984 433675 437668 440800 441560 446600 447370 455504 457330 464800 471772 481400 484880 485716 497350 500192 503063 511280 512050 521360 529540 539168 539980 540911 547085 551950 555104 568400 569380 573496 585200 589715 593978 603680 606100 607145 617120 618184 625240 626318 630800 639100 640262 650720 651700 661925 673960 674975 678832 693880 711725 715792 716870 730400 731728 741356 744800 754600 755972 771400 772730 781550 795760 813400 819280 825601 842450 847264 848540 850003 863968 867350 875336 883120 893200 894740 911008 914660 926695 943544 944965 962800 969760 971432 994700 1006126 1022560 1024100 1042720 1059080 1060675 1079960 1081822 1094170 1103900 1118425 1136800 1138760 1143325 1146992 1170400 1179430 1187956 1212200 1214290 1236368 1250480 1252636 1261600 1278200 1280524 1297373 1303400 1323850 1347920 1349950 1357664 1387760 1423450 1431584 1433740 1463456 1482712 1484945 1509200 1511944 1542800 1545460 1563100 1565795 1591520 1600655 1626800 1638560 1651202 1684900 1697080 1700006 1734700 1750672 1766240 1786400 1789480 1792175 1829320 1853390 1887088 1889930 1925600 1931825 1942864 1989400 2012252 2048200 2078923 2118160 2121350 2159920 2163644 2188340 2207800 2236850 2240917 2277520 2286650 2293984 2358860 2375912 2424400 2428580 2472736 2500960 2505272 2515315 2556400 2561048 2594746 2606800 2647700 2695840 2699900 2704555 2735425 2775520 2846900 2867480 2948575 2965424 2969890 3018400 3023888 3035725 3085600 3090920 3126200 3131590 3201310 3253600 3302404 3369800 3394160 3400012 3469400 3501344 3521441 3578960 3584350 3658640 3706780 3774176 3779860 3863650 3885728 3978800 4024504 4096400 4128005 4157846 4236320 4242700 4250015 4319840 4327288 4376680 4415600 4473700 4481834 4555040 4573300 4633475 4717720 4724825 4751824 4848800 4857160 5010544 5030630 5112800 5122096 5189492 5213600 5295400 5399800 5409110 5470850 5693800 5734960 5897150 5930848 5939780 5950021 6047776 6071450 6181840 6252400 6263180 6402620 6486865 6604808 6739600 6788320 6800024 6938800 7042882 7157920 7168700 7317280 7413560 7424725 7559720 7727300 7828975 7957600 8003275 8049008 8192800 8256010 8315692 8485400 8500030 8654576 8753360 8831200 8947400 8963668 9081611 9146600 9266950 9435440 9449650 9503648 9714320 10021088 10061260 10244192 10378984 10394615 10590800 10799600 10818220 10941700 11204585 11387600 11469920 11794300 11879560 11900042 12142900 12363680 12504800 12526360 12576575 12805240 12973730 13209616 13479200 13522775 13600048 13877600 14085764 14337400 14827120 14849450 15119440 15454600 15657950 15686419 16006550 16098016 16512020 16631384 16970800 17000060 17309152 17506720 17607205 17894800 17927336 18163222 18293200 18533900 18870880 18899300 19428640 20122520 20640025 20757968 20789230 21181600 21250075 21599200 21636440 21883400 22409170 22775200 23588600 23759120 23800084 24285800 24650087 25052720 25153150 25610480 25947460 26419232 27045550 27200096 28171528 28674800 29654240 29698900 29750105 30238880 30909200 31315900 31372838 32013100 32434325 33024040 33262768 33941600 34000120 35214410 35789600 35854672 36326444 36586400 37067800 37798600 40245040 41280050 41515936 41578460 42500150 43272880 43766800 44818340 45408055 47177200 47518240 47600168 48571600 49300174 50105440 50306300 51220960 51894920 51973075 54091100 56022925 56343056 57349600 59397800 59500210 61818400 62631800 62745676 64026200 64868650 66048080 66525536 68000240 70428820 71709344 72652888 74135600 75597200 78432095 80490080 82560100 83156920 85000300 86545760 87533600 88036025 89636680 90816110 94354400 95200336 97143200 98600348 100612600 103789840 103946150 108182200 112045850 112686112 118795600 119000420 123250435 125263600 125491352 128052400 129737300 132096160 136000480 140857640 145305776 148271200 148750525 151194400 156864190 165120200 166313840 170000600 172550609 176072050 179273360 181632220 190400672 197200696 201225200 207579680 207892300 216364400 224091700 227040275 237591200 238000840 246500870 250527200 250982704 256104800 259474600 281715280 290611552 297501050 313728380 330240400 332627680 340001200 345101218 352144100 358546720 363264440 392160475 394401392 402450400 415784600 432728800 448183400 454080550 476001680 493001740 501965408 518949200 563430560 595002100 616252175 627456760 660480800 680002400 690202436 704288200 726528880 784320950 788802784 831569200 862753045 896366800 908161100 952003360 986003480 1037898400 1190004200 1232504350 1254913520 1380404872 1408576400 1453057760 1568641900 1663138400 1725506090 1792733600 1816322200 1972006960 2380008400 2465008700 2509827040 2760809744 2817152800 3137283800 3451012180 3632644400 3944013920 4313765225 4760016800 4930017400 5521619488 6274567600 6902024360 7265288800 8627530450 9860034800 12549135200 13804048720 17255060900 19720069600 27608097440 34510121800 69020243600 138040487200
- Sum of all divisors σ(n): 472469760000
- Sum of proper divisors (its aliquot sum) s(n): 334429272800
- 138040487200 is an abundant number, because the sum of its proper divisors (334429272800) is greater than itself. Its abundance is 196388785600
Bases of 138040487200
- Binary: 100000001000111101101010101101001000002
- Hexadecimal: 0x2023DAAD20
- Base-36: 1REXQPLS
Squares and roots of 138040487200
- 138040487200 squared (1380404872002) is 19055176106413363840000
- 138040487200 cubed (1380404872003) is 2630385793411099789064462848000000
-
The
square root of 138040487200 is 371538.0023631499 -
The
cube root of 138040487200 is 5168.1545740813
Scales and comparisons
How big is 138040487200?- 138,040,487,200 seconds is equal to 4,389 years, 13 weeks, 3 days, 19 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,040,487,200 would take you about eight thousand, seven hundred seventy-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 138040487200 cubic inches would be around 430.7 feet tall.
Recreational maths with 138040487200
- 138040487200 backwards is 002784040831
- The number of decimal digits it has is: 12
- The sum of 138040487200's digits is 37
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138040487200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 138040487200 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138040487200/
Chicago style:
Numbermatics. 2024. "Number 138040487200 - Facts about the integer". https://numbermatics.com/n/138040487200/
The information we have on file for 138040487200 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!
Keywords: Divisors of 138040487200, math, Factors of 138040487200, curriculum, school, college, exams, university, Prime factorization of 138040487200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, forty million, four hundred eighty-seven thousand, two hundred.