138334505400
138,334,505,400 is an even composite number composed of seven prime numbers multiplied together.
138334505400 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 138334505400:
23 × 35 × 52 × 7 × 13 × 31 × 1009
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 1009)See below for interesting mathematical facts about the number 138334505400 from the Numbermatics database.
Names of 138334505400
- Cardinal: 138334505400 can be written as One hundred thirty-eight billion, three hundred thirty-four million, five hundred five thousand, four hundred.
Scientific notation
- Scientific notation: 1.383345054 × 1011
Factors of 138334505400
Divisors of 138334505400
- Number of divisors d(n): 1152
-
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 31 35 36 39 40 42 45 50 52 54 56 60 62 63 65 70 72 75 78 81 84 90 91 93 100 104 105 108 117 120 124 126 130 135 140 150 155 156 162 168 175 180 182 186 189 195 200 210 216 217 225 234 243 248 252 260 270 273 279 280 300 310 312 315 324 325 350 351 360 364 372 378 390 403 405 420 434 450 455 465 468 486 504 520 525 540 546 558 567 585 600 620 630 648 650 651 675 700 702 728 744 756 775 780 806 810 819 837 840 868 900 910 930 936 945 972 975 1009 1050 1053 1080 1085 1092 1116 1134 1170 1209 1215 1240 1260 1300 1302 1350 1365 1395 1400 1404 1512 1550 1560 1575 1612 1620 1638 1674 1701 1736 1755 1800 1820 1860 1890 1944 1950 1953 2015 2018 2025 2100 2106 2170 2184 2232 2268 2275 2325 2340 2418 2430 2457 2511 2520 2600 2604 2700 2730 2790 2808 2821 2835 2925 3027 3100 3150 3159 3224 3240 3255 3276 3348 3402 3510 3627 3640 3720 3780 3900 3906 4030 4036 4050 4095 4185 4200 4212 4340 4536 4550 4650 4680 4725 4836 4860 4914 5022 5045 5208 5265 5400 5425 5460 5580 5642 5670 5850 5859 6045 6054 6075 6200 6300 6318 6510 6552 6696 6804 6825 6975 7020 7063 7254 7371 7533 7560 7800 7812 8060 8072 8100 8190 8370 8424 8463 8505 8680 8775 9081 9100 9300 9450 9672 9720 9765 9828 10044 10075 10090 10530 10850 10881 10920 11160 11284 11340 11700 11718 12090 12108 12150 12285 12555 12600 12636 13020 13117 13608 13650 13950 14040 14105 14126 14175 14508 14742 15066 15135 15624 15795 16120 16200 16275 16380 16740 16926 17010 17550 17577 18135 18162 18200 18600 18900 19530 19656 20088 20150 20180 20475 20925 21060 21189 21700 21762 22113 22568 22680 23400 23436 24180 24216 24300 24570 25110 25225 25272 25389 26040 26234 26325 27243 27300 27900 28210 28252 28350 29016 29295 29484 30132 30225 30270 31279 31590 32550 32643 32760 33480 33852 34020 35100 35154 35315 36270 36324 36855 37665 37800 39060 39351 40300 40360 40950 41850 42120 42315 42378 42525 43400 43524 44226 45405 46872 48360 48600 48825 49140 50220 50450 50778 52468 52650 52731 54405 54486 54600 55800 56420 56504 56700 58590 58968 60264 60450 60540 61425 62558 62775 63180 63567 65100 65286 65585 67704 68040 70200 70308 70525 70630 72540 72648 73710 75330 75675 76167 78120 78702 78975 80600 81729 81900 83700 84630 84756 85050 87048 87885 88452 90675 90810 91819 93837 97650 97929 98280 100440 100900 101556 104936 105300 105462 105945 108810 108972 110565 112840 113400 117180 118053 120900 121080 122850 125116 125550 126360 126945 127134 130200 130572 131170 136215 140616 141050 141260 145080 146475 147420 150660 151350 152334 156395 157404 157950 163215 163458 163800 167400 169260 169512 170100 175770 176575 176904 181350 181620 183638 184275 187674 188325 190701 195300 195858 196755 201800 203112 210600 210924 211575 211890 217620 217944 218953 221130 227025 228501 234360 236106 241800 245187 245700 250232 251100 253890 254268 261144 262340 263655 272025 272430 275457 281511 282100 282520 292950 294840 301320 302700 304668 312790 314808 315900 317835 326430 326916 327925 338520 340200 351540 353150 354159 362700 363240 367276 368550 375348 376650 380835 381402 390600 391716 393510 406627 408645 421848 423150 423780 435240 437906 439425 442260 454050 457002 459095 469185 472212 489645 490374 491400 502200 507780 508536 524680 527310 529725 544050 544860 550914 552825 563022 564200 572103 585900 590265 605400 609336 625580 631800 634725 635670 652860 653832 655850 656859 681075 685503 703080 706300 708318 725400 734552 737100 750696 753300 761670 762804 781975 783432 787020 813254 816075 817290 826371 844533 846300 847560 875812 878850 884520 908100 914004 918190 938370 944424 953505 979290 980748 983775 1015560 1054620 1059450 1062477 1088100 1089720 1094765 1101828 1105650 1126044 1142505 1144206 1171800 1180530 1219881 1225935 1251160 1269450 1271340 1305720 1311700 1313718 1318275 1362150 1371006 1377285 1407555 1412600 1416636 1474200 1506600 1523340 1525608 1563950 1574040 1589175 1626508 1632150 1634580 1652742 1689066 1692600 1716309 1751624 1757700 1770795 1816200 1828008 1836380 1876740 1904175 1907010 1958580 1961496 1967550 1970577 2033135 2043225 2109240 2118900 2124954 2176200 2189530 2203656 2211300 2252088 2285010 2288412 2295475 2345925 2361060 2439762 2448225 2451870 2479113 2533599 2538900 2542680 2623400 2627436 2636550 2724300 2742012 2754570 2815110 2833272 2846389 2860515 2951325 3046680 3127900 3178350 3187431 3253016 3264300 3269160 3284295 3305484 3378132 3427515 3432618 3515400 3541590 3659643 3672760 3753480 3808350 3814020 3917160 3935100 3941154 4066270 4086450 4131855 4222665 4237800 4249908 4379060 4422600 4570020 4576824 4590950 4691850 4722120 4767525 4879524 4896450 4903740 4958226 5067198 5077800 5254872 5273100 5312385 5448600 5473825 5484024 5509140 5630220 5692778 5712525 5721030 5902650 5911731 6099405 6129675 6255800 6356700 6374862 6528600 6568590 6610968 6756264 6855030 6865236 6886425 7037775 7083180 7319286 7437339 7600797 7616700 7628040 7870200 7882308 8132540 8172900 8263710 8445330 8499816 8539167 8581545 8758120 8853975 9140040 9181900 9383700 9535050 9759048 9792900 9807480 9852885 9916452 10134396 10165675 10546200 10624770 10947650 10978929 11018280 11260440 11385556 11425050 11442060 11805300 11823462 12198810 12259350 12395565 12667995 12713400 12749724 13137180 13710060 13730472 13772850 14075550 14166360 14231945 14302575 14638572 14874678 15201594 15233400 15764616 15937155 16265080 16345800 16421475 16527420 16890660 17078334 17137575 17163090 17707950 17735193 18298215 18363800 18767400 19070100 19585800 19705770 19832904 20268792 20331350 20659275 21113325 21249540 21895300 21957858 22312017 22771112 22850100 22884120 23610600 23646924 24397620 24518700 24791130 25335990 25499448 25617501 26274360 26561925 27420120 27545700 28151100 28463890 28605150 29277144 29558655 29749356 30403188 30497025 31874310 32842950 32936787 33054840 33781320 34156668 34275150 34326180 35415900 35470386 36596430 37186695 38003985 38140200 39411540 40662700 41318550 42226650 42499080 42695835 42907725 43790600 43915716 44624034 45700200 47293848 48795240 49037400 49264425 49582260 50671980 51235002 53123850 53205579 54894645 55091400 56302200 56927780 57210300 59117310 59498712 60806376 60994050 61977825 63339975 63748620 65685900 65873574 68313336 68550300 68652360 70831800 70940772 71159725 73192860 74373390 76007970 76852503 78823080 79685775 81325400 82637100 84453300 85391670 85815450 87831432 88675965 89248068 91491075 98528850 98810361 99164520 101343960 102470004 106247700 106411158 109789290 111560085 113855560 114420600 118234620 121988100 123955650 126679950 127497240 128087505 131371800 131747148 137100600 141881544 142319450 146385720 147793275 148746780 152015940 153705006 159371550 164683935 165274200 168906600 170783340 171630900 177351930 178496136 182982150 185933475 190019925 197057700 197620722 204940008 212495400 212822316 213479175 219578580 223120170 230557509 236469240 243976200 247911300 253359900 256175010 263494296 266027895 274473225 284638900 295586550 297493560 304031880 307410012 318743100 329367870 341566680 343261800 354703860 365964300 371866950 380039850 384262515 394115400 395241444 425644632 426958350 439157160 443379825 446240340 461115018 494051805 495822600 506719800 512350020 532055790 548946450 557800425 569277800 591173100 614820024 637486200 640437525 658735740 691672527 709407720 731928600 743733900 760079700 768525030 790482888 823419675 853916700 886759650 892480680 922230036 988103610 1024700040 1064111580 1097892900 1115600850 1152787545 1182346200 1280875050 1317471480 1330139475 1383345054 1487467800 1520159400 1537050060 1646839350 1707833400 1773519300 1844460072 1921312575 1976207220 2128223160 2195785800 2231201700 2305575090 2470259025 2561750100 2660278950 2766690108 3074100120 3293678700 3458362635 3547038600 3842625150 3952414440 4462403400 4611150180 4940518050 5123500200 5320557900 5533380216 5763937725 6587357400 6916725270 7685250300 9222300360 9881036100 10641115800 11527875450 13833450540 15370500600 17291813175 19762072200 23055750900 27666901080 34583626350 46111501800 69167252700 138334505400
- Sum of all divisors σ(n): 612694118400
- Sum of proper divisors (its aliquot sum) s(n): 474359613000
- 138334505400 is an abundant number, because the sum of its proper divisors (474359613000) is greater than itself. Its abundance is 336025107600
Bases of 138334505400
- Binary: 100000001101010110000100001001101110002
- Hexadecimal: 0x20356109B8
- Base-36: 1RJSSJI0
Squares and roots of 138334505400
- 138334505400 squared (1383345054002) is 19136435384262629160000
- 138334505400 cubed (1383345054003) is 2647229324001029748552217464000000
-
The
square root of 138334505400 is 371933.4690505817 -
The
cube root of 138334505400 is 5171.8212614735
Scales and comparisons
How big is 138334505400?- 138,334,505,400 seconds is equal to 4,398 years, 31 weeks, 4 days, 19 hours, 30 minutes.
-
To count from 1 to 138,334,505,400 would take you about eight thousand, seven hundred ninety-seven 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 138334505400 cubic inches would be around 431 feet tall.
Recreational maths with 138334505400
- 138334505400 backwards is 004505433831
- 138334505400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138334505400's digits is 36
- More coming soon!
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The information we have on file for 138334505400 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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