138376520100
138,376,520,100 is an even composite number composed of seven prime numbers multiplied together.
138376520100 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 138376520100:
22 × 37 × 52 × 7 × 13 × 17 × 409
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 17 × 409)See below for interesting mathematical facts about the number 138376520100 from the Numbermatics database.
Names of 138376520100
- Cardinal: 138376520100 can be written as One hundred thirty-eight billion, three hundred seventy-six million, five hundred twenty thousand, one hundred.
Scientific notation
- Scientific notation: 1.383765201 × 1011
Factors of 138376520100
Divisors of 138376520100
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 25 26 27 28 30 34 35 36 39 42 45 50 51 52 54 60 63 65 68 70 75 78 81 84 85 90 91 100 102 105 108 117 119 126 130 135 140 150 153 156 162 170 175 180 182 189 195 204 210 221 225 234 238 243 252 255 260 270 273 300 306 315 324 325 340 350 351 357 364 378 390 405 409 420 425 442 450 455 459 468 476 486 510 525 540 546 567 585 595 612 630 650 663 675 700 702 714 729 756 765 780 810 818 819 850 884 900 910 918 945 972 975 1020 1050 1053 1071 1092 1105 1134 1170 1190 1215 1227 1260 1275 1300 1326 1350 1365 1377 1404 1428 1458 1530 1547 1575 1620 1636 1638 1700 1701 1755 1785 1820 1836 1890 1950 1989 2025 2045 2100 2106 2142 2187 2210 2268 2275 2295 2340 2380 2430 2454 2457 2550 2652 2700 2730 2754 2835 2863 2916 2925 2975 3060 3094 3150 3159 3213 3276 3315 3402 3510 3570 3645 3681 3780 3825 3900 3978 4050 4090 4095 4131 4212 4284 4374 4420 4550 4590 4641 4725 4860 4908 4914 5100 5103 5265 5317 5355 5460 5508 5525 5670 5726 5850 5950 5967 6075 6135 6188 6300 6318 6426 6630 6804 6825 6885 6953 7020 7140 7290 7362 7371 7650 7735 7956 8100 8180 8190 8262 8505 8589 8748 8775 8925 9100 9180 9282 9450 9477 9639 9828 9945 10206 10225 10530 10634 10710 10935 11043 11050 11340 11452 11475 11700 11900 11934 12150 12270 12285 12393 12636 12852 13260 13650 13770 13906 13923 14175 14315 14580 14724 14742 15300 15309 15470 15795 15951 16065 16380 16524 16575 17010 17178 17550 17850 17901 18225 18405 18564 18900 18954 19278 19890 20412 20450 20475 20655 20859 21060 21268 21420 21870 22086 22100 22113 22950 23205 23868 24300 24540 24570 24786 25515 25767 26325 26585 26775 27300 27540 27812 27846 28350 28431 28630 28917 29484 29835 30618 30675 30940 31590 31902 32130 33129 33150 34020 34356 34425 34765 35100 35700 35802 36450 36810 36855 37179 37219 37908 38556 38675 39780 40900 40950 41310 41718 41769 42525 42945 43740 44172 44226 45900 46410 47385 47853 48195 48671 49140 49572 49725 51030 51534 52650 53170 53550 53703 54675 55215 55692 56700 56862 57260 57834 59670 61236 61350 61425 61965 62577 63180 63804 64260 66258 66300 66339 68850 69530 69615 71575 71604 72900 73620 73710 74358 74438 76545 77301 77350 78975 79755 80325 81900 82620 83436 83538 85050 85890 86751 88452 89505 90389 92025 92820 94770 95706 96390 97342 99387 99450 102060 103068 103275 104295 105300 106340 107100 107406 109350 110430 110565 111657 113724 115668 116025 119340 122700 122850 123930 125154 125307 127575 128835 132516 132678 132925 137700 139060 139230 142155 143150 143559 144585 146013 147420 148716 148876 149175 153090 154602 154700 157950 159510 160650 161109 165645 167076 170100 171780 173502 173825 179010 180778 184050 184275 185895 186095 187731 189540 191412 192780 194684 198774 198900 199017 206550 208590 208845 214725 214812 218700 220860 221130 223314 231903 232050 236925 239265 240975 243355 245700 247860 250308 250614 255150 257670 260253 265356 265850 268515 271167 276075 278460 284310 286300 287118 289170 292026 298161 298350 306180 309204 309825 312885 315900 319020 321300 322218 331290 331695 334971 347004 347650 348075 358020 361556 368100 368550 371790 372190 375462 375921 382725 386505 397548 398034 398775 413100 417180 417690 429450 430677 433755 438039 442260 446628 447525 451945 463806 464100 473850 478530 481950 483327 486710 496935 501228 510300 515340 520506 521475 531700 537030 542334 552150 552825 558285 563193 568620 574236 578340 584052 596322 596700 619650 625770 626535 632723 644175 644436 662580 663390 669942 695300 695709 696150 710775 717795 722925 730065 737100 743580 744380 750924 751842 765450 773010 796068 797550 805545 813501 828225 835380 858900 861354 867510 876078 894483 895050 903890 927612 929475 930475 938655 947700 957060 963900 966654 973420 993870 995085 1004913 1041012 1042950 1044225 1074060 1084668 1104300 1105650 1116570 1126386 1127763 1159515 1192644 1196325 1216775 1239300 1251540 1253070 1265446 1288350 1292031 1301265 1314117 1326780 1339884 1342575 1355835 1391418 1392300 1421550 1435590 1445850 1460130 1490805 1503684 1530900 1546020 1564425 1595100 1611090 1627002 1656450 1658475 1674855 1689579 1722708 1735020 1752156 1788966 1790100 1807780 1858950 1860950 1877310 1879605 1898169 1932525 1933308 1987740 1990170 2009826 2085900 2087127 2088450 2153385 2168775 2190195 2211300 2233140 2252772 2255526 2259725 2319030 2392650 2416635 2433550 2440503 2484675 2506140 2530892 2576700 2584062 2602530 2628234 2685150 2711670 2782836 2791425 2815965 2843100 2871180 2891700 2920260 2981610 3014739 3128850 3132675 3163615 3222180 3254004 3312900 3316950 3349710 3379158 3383289 3478545 3577932 3588975 3650325 3717900 3721900 3754620 3759210 3796338 3865050 3876093 3942351 3980340 4019652 4027725 4067505 4174254 4176900 4306770 4337550 4380390 4472415 4511052 4519450 4638060 4693275 4785300 4833270 4867100 4881006 4969350 4975425 5024565 5068737 5168124 5205060 5256468 5370300 5423340 5582850 5631930 5638815 5694507 5797575 5963220 6029478 6257700 6261381 6265350 6327230 6460155 6506325 6570585 6633900 6699420 6758316 6766578 6779175 6957090 7177950 7300650 7321509 7454025 7518420 7592676 7730100 7752186 7884702 8055450 8135010 8348508 8374275 8447895 8613540 8675100 8760780 8944830 9038900 9044217 9386550 9398025 9490845 9666540 9762012 9938700 9950850 10049130 10137474 10435635 10766925 10950975 11165700 11263860 11277630 11389014 11595150 11628279 11827053 12058956 12083175 12202515 12522762 12530700 12654460 12920310 13012650 13141170 13533156 13558350 13914180 14079825 14355900 14601300 14643018 14908050 15073695 15206211 15504372 15769404 15818075 16110900 16270020 16748550 16895790 16916445 17083521 17392725 17889660 18088434 18773100 18796050 18981690 19380465 19711755 19901700 20098260 20274948 20337525 20871270 21533850 21901950 21964527 22362075 22555260 22778028 23190300 23256558 23654106 24166350 24405030 25045524 25122825 25343685 25840620 26025300 26282340 27116700 27132651 28159650 28194075 28472535 29286036 29816100 30147390 30412422 31306905 31636150 32300775 32852925 33497100 33791580 33832890 34167042 34785450 35481159 36176868 36607545 37592100 37963380 38760930 39423510 40675050 41742540 42239475 43067700 43803900 43929054 44724150 45221085 46513116 47308212 47454225 48332700 48810060 50245650 50687370 51250563 52178175 54265302 56319300 56388150 56945070 58141395 59135265 60294780 60824844 61012575 62613810 63272300 64601550 65705850 65893581 67665780 68334084 69570900 70962318 73215090 75368475 76031055 77521860 78847020 81350100 81397953 84478950 84582225 85417605 87858108 89448300 90442170 94908450 96902325 98558775 100491300 101374740 102501126 104356350 106443477 108530604 109822635 112776300 113890140 116282790 118270530 122025150 125227620 126718425 129203100 131411700 131787162 135663255 141924636 142362675 146430180 150736950 152062110 153751689 156534525 162795906 168957900 169164450 170835210 177405795 180884340 183037725 189816900 193804650 197117550 197680743 205002252 208712700 212886954 219645270 226105425 232565580 236541060 244050300 253436850 256252815 263574324 271326510 284725350 290706975 295676325 301473900 304124220 307503378 313069050 325591812 329467905 338328900 341670420 354811590 366075450 380155275 387609300 394235100 395361486 406989765 425773908 427088025 439290540 452210850 461255067 506873700 512505630 532217385 542653020 549113175 569450700 581413950 591352650 615006756 626138100 658935810 678316275 709623180 732150900 760310550 768758445 790722972 813979530 854176050 887028975 904421700 922510134 988403715 1025011260 1064434770 1098226350 1162827900 1182705300 1281264075 1317871620 1356632550 1383765201 1520621100 1537516890 1627959060 1647339525 1708352100 1774057950 1845020268 1976807430 2034948825 2128869540 2196452700 2306275335 2562528150 2661086925 2713265100 2767530402 3075033780 3294679050 3548115900 3843792225 3953614860 4069897650 4612550670 4942018575 5125056300 5322173850 5535060804 6589358100 6918826005 7687584450 8139795300 9225101340 9884037150 10644347700 11531376675 13837652010 15375168900 19768074300 23062753350 27675304020 34594130025 46125506700 69188260050 138376520100
- Sum of all divisors σ(n): 588312345600
- Sum of proper divisors (its aliquot sum) s(n): 449935825500
- 138376520100 is an abundant number, because the sum of its proper divisors (449935825500) is greater than itself. Its abundance is 311559305400
Bases of 138376520100
- Binary: 100000001101111110001000100001101001002
- Hexadecimal: 0x2037E221A4
- Base-36: 1RKHT290
Squares and roots of 138376520100
- 138376520100 squared (1383765201002) is 19148061314985704010000
- 138376520100 cubed (1383765201003) is 2649642091429151702152415601000000
-
The
square root of 138376520100 is 371989.9462351099 -
The
cube root of 138376520100 is 5172.3448004687
Scales and comparisons
How big is 138376520100?- 138,376,520,100 seconds is equal to 4,399 years, 49 weeks, 1 day, 2 hours, 15 minutes.
-
To count from 1 to 138,376,520,100 would take you about eight thousand, seven hundred ninety-nine 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 138376520100 cubic inches would be around 431 feet tall.
Recreational maths with 138376520100
- 138376520100 backwards is 001025673831
- 138376520100 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138376520100's digits is 36
- More coming soon!
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The information we have on file for 138376520100 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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