138042613800
138,042,613,800 is an even composite number composed of five prime numbers multiplied together.
138042613800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138042613800:
23 × 35 × 52 × 75 × 132
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 13 × 13)See below for interesting mathematical facts about the number 138042613800 from the Numbermatics database.
Names of 138042613800
- Cardinal: 138042613800 can be written as One hundred thirty-eight billion, forty-two million, six hundred thirteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380426138 × 1011
Factors of 138042613800
Divisors of 138042613800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 49 50 52 54 56 60 63 65 70 72 75 78 81 84 90 91 98 100 104 105 108 117 120 126 130 135 140 147 150 156 162 168 169 175 180 182 189 195 196 200 210 216 225 234 243 245 252 260 270 273 280 294 300 312 315 324 325 338 343 350 351 360 364 378 390 392 405 420 441 450 455 468 486 490 504 507 520 525 540 546 567 585 588 600 630 637 648 650 675 676 686 700 702 728 735 756 780 810 819 840 845 882 900 910 936 945 972 975 980 1014 1029 1050 1053 1080 1092 1134 1170 1176 1183 1215 1225 1260 1274 1300 1323 1350 1352 1365 1372 1400 1404 1470 1512 1521 1560 1575 1620 1638 1690 1701 1715 1755 1764 1800 1820 1890 1911 1944 1950 1960 2025 2028 2058 2100 2106 2184 2205 2268 2275 2340 2366 2401 2430 2450 2457 2520 2535 2548 2600 2646 2700 2730 2744 2808 2835 2925 2940 3042 3087 3150 3159 3185 3240 3276 3380 3402 3430 3510 3528 3549 3640 3675 3780 3822 3900 3969 4050 4056 4095 4116 4200 4212 4225 4410 4459 4536 4550 4563 4680 4725 4732 4802 4860 4900 4914 5070 5096 5145 5265 5292 5400 5460 5670 5733 5850 5880 5915 6075 6084 6174 6300 6318 6370 6552 6615 6760 6804 6825 6860 7020 7098 7203 7350 7371 7560 7605 7644 7800 7938 8100 8190 8232 8281 8424 8450 8505 8575 8775 8820 8918 9100 9126 9261 9450 9464 9555 9604 9720 9800 9828 10140 10290 10530 10584 10647 10920 11025 11340 11466 11700 11830 11907 12005 12150 12168 12285 12348 12600 12636 12675 12740 13230 13377 13608 13650 13689 13720 14040 14175 14196 14406 14700 14742 15210 15288 15435 15795 15876 15925 16200 16380 16562 16807 16900 17010 17150 17199 17550 17640 17745 17836 18200 18252 18522 18900 19110 19208 19656 19845 20280 20475 20580 21060 21294 21609 22050 22113 22295 22680 22815 22932 23400 23660 23814 24010 24300 24570 24696 24843 25272 25350 25480 25725 26325 26460 26754 27300 27378 27783 28350 28392 28665 28812 29400 29484 29575 30420 30870 31213 31590 31752 31850 31941 32760 33075 33124 33614 33800 34020 34300 34398 35100 35490 35672 36015 36504 36855 37044 37800 38025 38220 39690 40131 40950 41067 41160 41405 42120 42525 42588 43218 44100 44226 44590 45630 45864 46305 47320 47628 47775 48020 48600 49140 49686 50421 50700 51450 51597 52650 52920 53235 53508 54600 54756 55566 56700 57330 57624 57967 58968 59150 59535 60025 60840 61425 61740 62426 63180 63700 63882 64827 66150 66248 66885 67228 68040 68445 68600 68796 70200 70980 72030 73710 74088 74529 76050 76440 77175 78975 79380 80262 81900 82134 82810 83349 84035 85050 85176 85995 86436 88200 88452 88725 89180 91260 92610 93639 95256 95550 95823 96040 98280 99225 99372 100842 101400 102900 103194 105300 106470 107016 108045 109512 110565 111132 111475 113400 114075 114660 115934 118300 119070 120050 120393 122850 123480 124215 124852 126360 127400 127764 129654 132300 133770 134456 136890 137592 138915 141960 143325 144060 147420 149058 151263 152100 154350 154791 156065 157950 158760 159705 160524 163800 164268 165620 166698 168070 170100 171990 172872 173901 176904 177450 178360 180075 182520 184275 185220 187278 191100 191646 194481 198450 198744 200655 201684 205335 205800 206388 207025 210600 212940 216090 218491 221130 222264 222950 223587 228150 229320 231525 231868 236600 238140 240100 240786 245700 248430 249704 252105 255528 257985 259308 264600 266175 267540 273780 277830 280917 286650 287469 288120 289835 294840 297675 298116 302526 304200 308700 309582 312130 315900 319410 321048 324135 328536 331240 333396 334425 336140 340200 342225 343980 347802 354900 360150 361179 368550 370440 372645 374556 382200 383292 388962 396900 401310 403368 405769 410670 412776 414050 416745 420175 425880 429975 432180 436982 442260 445900 447174 453789 456300 463050 463736 468195 476280 479115 480200 481572 491400 496860 504210 515970 518616 521703 532350 535080 540225 547560 552825 555660 561834 573300 574938 579670 583443 595350 596232 601965 605052 617400 619164 621075 624260 631800 638820 648270 655473 666792 668850 670761 672280 684450 687960 694575 695604 709800 720300 722358 737100 745290 749112 756315 766584 773955 777924 780325 793800 798525 802620 811538 821340 828100 833490 840350 842751 859950 864360 869505 873964 884520 891800 894348 907578 912600 926100 936390 958230 963144 972405 993720 1003275 1008420 1026675 1031940 1043406 1064700 1080450 1083537 1092455 1105650 1111320 1117935 1123668 1146600 1149876 1159340 1166886 1190700 1203930 1210104 1217307 1238328 1242150 1248520 1260525 1277640 1289925 1296540 1310946 1337700 1341522 1361367 1368900 1389150 1391208 1404585 1437345 1440600 1444716 1449175 1474200 1490580 1512630 1547910 1555848 1560650 1565109 1597050 1605240 1620675 1623076 1642680 1656200 1666980 1680700 1685502 1719900 1739010 1747928 1788696 1805895 1815156 1852200 1863225 1872780 1916460 1944810 1966419 2006550 2012283 2016840 2028845 2053350 2063880 2083725 2086812 2129400 2160900 2167074 2184910 2211300 2235870 2247336 2268945 2299752 2318680 2333772 2340975 2381400 2395575 2407860 2434614 2484300 2521050 2528253 2579850 2593080 2608515 2621892 2675400 2683044 2722734 2737800 2778300 2809170 2840383 2874690 2889432 2898350 2917215 2981160 3009825 3025260 3095820 3121300 3130218 3194100 3241350 3246152 3277365 3333960 3353805 3361400 3371004 3439800 3478020 3611790 3630312 3651921 3726450 3745560 3781575 3832920 3869775 3889620 3932838 4013100 4024566 4057690 4084101 4106700 4167450 4173624 4213755 4321800 4334148 4347525 4369820 4422600 4471740 4537890 4667544 4681950 4695327 4791150 4815720 4862025 4869228 4968600 5042100 5056506 5159700 5217030 5243784 5366088 5417685 5445468 5462275 5556600 5589675 5618340 5680766 5749380 5796700 5834430 5899257 6019650 6050520 6086535 6191640 6242600 6260436 6388200 6482700 6554730 6707610 6742008 6806835 6956040 7022925 7186725 7223580 7303842 7452900 7563150 7584759 7739550 7779240 7825545 7865676 8026200 8049132 8115380 8168202 8213400 8334900 8427510 8521149 8668296 8695050 8739640 8943480 9029475 9075780 9363900 9390654 9582300 9724050 9738456 9832095 10061415 10084200 10113012 10144225 10319400 10434060 10835370 10890936 10924550 10955763 11179350 11236680 11344725 11361532 11498760 11593400 11668860 11798514 12039300 12173070 12520872 12641265 12965400 13042575 13109460 13415220 13613670 14045850 14085981 14201915 14373450 14447160 14586075 14607684 14905800 15126300 15169518 15479100 15651090 15731352 16098264 16230760 16336404 16386825 16669800 16769025 16855020 17042298 17390100 17697771 18058950 18151560 18259605 18727800 18781308 19164600 19448100 19664190 20122830 20226024 20288450 20420505 20868120 21068775 21670740 21849100 21911526 22358700 22689450 22723064 23337720 23476635 23597028 24078600 24346140 25282530 25563447 26085150 26218920 26830440 27088425 27227340 28091700 28171962 28403830 28746900 29172150 29215368 29496285 30252600 30339036 30432675 30958200 31302180 32672808 32773650 32867289 33538050 33710040 34034175 34084596 34780200 35395542 36117900 36519210 37562616 37923795 38896200 39127725 39328380 40245660 40576900 40841010 42137550 42605745 43341480 43698200 43823052 44717400 45378900 46953270 47194056 48692280 49160475 50307075 50565060 51126894 52170300 53093313 54176850 54454680 54778815 56183400 56343924 56807660 57493800 58344300 58992570 60678072 60865350 62604360 63206325 65547300 65734578 67076100 68068350 68169192 70429905 70791084 71009575 72235800 73038420 75847590 76690341 78255450 78656760 80491320 81153800 81682020 84275100 85211490 87646104 88488855 90757800 91298025 93906540 98320950 98601867 100614150 101130120 102102525 102253788 104340600 106186626 108353700 109557630 112687848 113615320 116688600 117383175 117985140 121730700 126412650 127817235 131094600 131469156 134152200 136136700 140859810 141582168 142019150 146076840 147481425 151695180 153380682 156510900 163364040 164336445 168550200 170422980 176977710 182596050 187813080 189618975 196641900 197203734 201228300 204205050 204507576 212373252 213028725 216707400 219115260 230071023 234766350 235970280 243461400 252825300 255634470 262938312 265466565 272273400 273894075 281719620 284038300 294962850 303390360 306761364 313021800 328672890 340845960 352149525 353955420 365192100 379237950 383451705 393283800 394407468 402456600 408410100 424746504 426057450 438230520 442444275 460142046 469532700 493009335 505650600 511268940 530933130 547788150 563439240 568076600 589925700 613522728 639086175 657345780 690213069 704299050 707910840 730384200 758475900 766903410 788814936 816820200 821682225 852114900 884888550 920284092 939065400 986018670 1022537880 1061866260 1095576300 1150355115 1179851400 1278172350 1314691560 1327332825 1380426138 1408598100 1516951800 1533806820 1643364450 1704229800 1769777100 1840568184 1917258525 1972037340 2123732520 2191152600 2300710230 2465046675 2556344700 2654665650 2760852276 2817196200 3067613640 3286728900 3451065345 3539554200 3834517050 3944074680 4601420460 4930093350 5112689400 5309331300 5521704552 5751775575 6573457800 6902130690 7669034100 9202840920 9860186700 10618662600 11503551150 13804261380 15338068200 17255326725 19720373400 23007102300 27608522760 34510653450 46014204600 69021306900 138042613800
- Sum of all divisors σ(n): 607349564640
- Sum of proper divisors (its aliquot sum) s(n): 469306950840
- 138042613800 is an abundant number, because the sum of its proper divisors (469306950840) is greater than itself. Its abundance is 331264337040
Bases of 138042613800
- Binary: 100000001000111111101100100000001010002
- Hexadecimal: 0x2023FB2028
- Base-36: 1REZ0AI0
Squares and roots of 138042613800
- 138042613800 squared (1380426138002) is 19055763224735950440000
- 138042613800 cubed (1380426138003) is 2630507363496467413564860072000000
-
The
square root of 138042613800 is 371540.8642397227 -
The
cube root of 138042613800 is 5168.1811134957
Scales and comparisons
How big is 138042613800?- 138,042,613,800 seconds is equal to 4,389 years, 17 weeks, 10 hours, 30 minutes.
-
To count from 1 to 138,042,613,800 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 138042613800 cubic inches would be around 430.7 feet tall.
Recreational maths with 138042613800
- 138042613800 backwards is 008316240831
- 138042613800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138042613800's digits is 36
- More coming soon!
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The information we have on file for 138042613800 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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