138108991020
138,108,991,020 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138108991020 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1152 divisors.
138108991020 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138108991020:
22 × 3 × 5 × 7 × 112 × 13 × 23 × 61 × 149
(2 × 2 × 3 × 5 × 7 × 11 × 11 × 13 × 23 × 61 × 149)See below for interesting mathematical facts about the number 138108991020 from the Numbermatics database.
Names of 138108991020
- Cardinal: 138108991020 can be written as One hundred thirty-eight billion, one hundred eight million, nine hundred ninety-one thousand and twenty.
Scientific notation
- Scientific notation: 1.3810899102 × 1011
Factors of 138108991020
Divisors of 138108991020
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 20 21 22 23 26 28 30 33 35 39 42 44 46 52 55 60 61 65 66 69 70 77 78 84 91 92 105 110 115 121 122 130 132 138 140 143 149 154 156 161 165 182 183 195 210 220 230 231 242 244 253 260 273 276 286 298 299 305 308 322 330 345 363 364 366 385 390 420 427 429 447 455 460 462 483 484 506 546 572 596 598 605 610 644 660 671 690 715 726 732 745 759 770 780 793 805 847 854 858 894 897 910 915 924 966 1001 1012 1043 1092 1155 1196 1210 1220 1265 1281 1342 1365 1380 1403 1430 1452 1490 1495 1518 1540 1573 1586 1610 1639 1694 1708 1716 1771 1788 1794 1815 1820 1830 1932 1937 2002 2013 2086 2093 2135 2145 2235 2310 2379 2415 2420 2530 2541 2562 2684 2730 2783 2806 2860 2980 2990 3003 3036 3129 3146 3172 3220 3278 3289 3355 3388 3427 3542 3588 3630 3660 3795 3874 3965 4004 4026 4172 4186 4209 4235 4270 4290 4470 4485 4620 4697 4719 4758 4830 4917 5005 5060 5082 5124 5215 5313 5460 5551 5566 5612 5811 5980 6006 6258 6279 6292 6405 6556 6578 6710 6854 7015 7084 7260 7381 7590 7748 7865 7930 8052 8195 8349 8372 8418 8470 8540 8580 8723 8855 8940 8970 9089 9394 9438 9516 9660 9685 9821 9834 9867 10010 10065 10164 10281 10430 10465 10626 11011 11102 11132 11473 11622 11895 12012 12516 12558 12705 12810 13156 13420 13559 13708 13915 14030 14091 14762 15015 15180 15433 15645 15730 15860 16390 16445 16653 16698 16836 16940 17135 17446 17710 17940 18029 18178 18239 18788 18876 19370 19481 19642 19668 19734 20020 20130 20562 20860 20930 21045 21252 21307 22022 22143 22204 22946 23023 23244 23485 23595 23790 23989 24585 25116 25410 25620 26169 26565 27118 27267 27755 27830 28060 28182 29055 29463 29524 30030 30866 31290 31395 31460 32780 32890 33033 33306 33396 34270 34419 34892 35420 36058 36179 36356 36478 36905 37697 38740 38962 39284 39468 40260 40677 41124 41745 41860 42090 42614 43615 44044 44286 44551 45445 45892 46046 46299 46970 47190 47580 47978 49105 49170 49335 50820 51405 51667 52338 53130 54087 54236 54534 54717 55055 55510 55660 56364 57365 58110 58443 58926 60060 61061 61732 62580 62790 63623 63921 65780 66066 66612 67795 68540 68838 69069 70455 71967 72116 72358 72956 73810 75394 77165 77924 81354 83265 83490 84180 85228 87230 88572 89102 90145 90890 91195 92092 92598 93940 94380 95953 95956 97405 98210 98340 98670 99979 102810 103334 104676 106260 106535 108031 108174 108537 109068 109434 110110 110715 111020 113091 114730 115115 116220 116886 117852 118157 119945 122122 125580 126203 127246 127673 127842 130845 132132 133653 135590 136335 137676 138138 140910 143934 144716 147315 147620 149149 150788 154330 155001 162708 165165 166530 166980 169763 172095 174460 178204 180290 180895 181780 182390 183183 185196 188485 190869 191906 194810 196420 197340 199958 200629 203385 205620 206668 209047 213070 216062 216348 217074 218868 220220 221430 222755 226182 229460 230230 231495 233772 234377 236314 239890 244244 252406 253253 254492 255346 255684 258335 261690 263879 267306 270435 271180 272670 273585 276276 281820 287859 287868 292215 294630 298298 299937 305305 308660 310002 311857 318115 319605 324093 330330 333060 339526 344190 345345 354471 359835 360580 361790 364780 366366 376970 378609 381738 383019 383812 389620 399916 401258 406770 414667 418094 426140 432124 434148 442860 445510 447447 452364 460460 462990 468754 472628 479765 479780 490061 499895 504812 506506 509289 510692 516670 523380 527758 534612 540155 540870 542685 545340 547170 565455 575718 584430 589260 590785 596596 599874 601887 610610 620004 623714 627141 631015 636230 638365 639210 648186 660660 668265 671671 679052 688380 690690 699853 703131 708942 719670 723580 732732 745745 753940 757218 759759 763476 766038 775005 791637 802516 813540 827099 829334 836188 848815 891020 894894 915915 925980 935571 937508 954345 959530 980122 999790 1003145 1013012 1018578 1033340 1045235 1055516 1080310 1081740 1085370 1094340 1099769 1130910 1151436 1168860 1171885 1181570 1188341 1199748 1203774 1221220 1244001 1247428 1254282 1262030 1266265 1272460 1276730 1278420 1296372 1299727 1319395 1336530 1343342 1381380 1399706 1404403 1406262 1417884 1439295 1439340 1463329 1470183 1491490 1499685 1514436 1519518 1532076 1550010 1559285 1583274 1620465 1640639 1654198 1658668 1697630 1772355 1789788 1831830 1871142 1893045 1908690 1915095 1919060 1960244 1999580 2006290 2015013 2037156 2073335 2090470 2099559 2160620 2170740 2199538 2206919 2237235 2261820 2299517 2343770 2363140 2376682 2407548 2450305 2481297 2488002 2508564 2524060 2532530 2546445 2553460 2599454 2638790 2673060 2686684 2717611 2799412 2808806 2812524 2878590 2902669 2926658 2940366 2982980 2999370 3009435 3039036 3100020 3118570 3135705 3166548 3240930 3281278 3299307 3308396 3358355 3395260 3430427 3499265 3515655 3544710 3565023 3663660 3742284 3786090 3798795 3817380 3830190 3899181 3958185 4012580 4030026 4135495 4146670 4180940 4199118 4213209 4389987 4399076 4413838 4474470 4599034 4677855 4687540 4753364 4900610 4921917 4962594 4976004 5065060 5092890 5198908 5277580 5390671 5435222 5498845 5617612 5757180 5805338 5853316 5880732 5941705 5998740 6018870 6220005 6237140 6271410 6481860 6498635 6562556 6598614 6620757 6716710 6860854 6898551 6998530 7022015 7031310 7089420 7130046 7316645 7350915 7572180 7597590 7660380 7698383 7798362 7916370 8060052 8152833 8203195 8270990 8293340 8398236 8426418 8708007 8779974 8827676 8948940 9098089 9198068 9355710 9801220 9843834 9925188 10075065 10185780 10291281 10497795 10781342 10870444 10997690 11034595 11497585 11610676 11883410 12037740 12406485 12440010 12542820 12997270 13197228 13241514 13433420 13588055 13721708 13797102 13997060 14044030 14062620 14260092 14296997 14513345 14633290 14701830 15195180 15396766 15448433 15596724 15832740 16096619 16172013 16305666 16406390 16496535 16541980 16852836 17152135 17416014 17559948 17825115 18196178 18711420 19023277 19495905 19687668 20150130 20582562 20995590 21066045 21562684 21949935 21995380 22069190 22995170 23095149 23766820 24609585 24812970 24880020 25294687 25994540 26483028 26953355 27176110 27294267 27594204 28088060 28593994 29026690 29266580 29403660 29893721 30793532 30896866 32193238 32344026 32611332 32812780 32993070 33103785 34304270 34492755 34832028 35650230 36392356 37734697 38046554 38491915 38991810 40300260 40764165 41165124 41991180 42132090 42890991 43540035 43899870 44138380 45490445 45990340 46190298 46345299 48289857 49219170 49625940 50589374 51456405 53906710 54352220 54588534 57069831 57187988 58053380 59787442 61793732 64386476 64688052 65986140 66207570 68608540 68985510 71300460 71484985 75469394 75884061 76093108 76983830 77242165 77983620 80483095 80860065 81528330 84264180 85781982 87080070 87799740 89681163 90980890 92380596 92690598 95116385 96579714 98438340 100078979 101178748 102912810 107813420 109177068 113204091 114139662 115475745 119574884 126473435 132415140 136471335 137971020 142969970 149468605 150938788 151768122 153967660 154484330 160966190 161720130 163056660 171563964 174160140 177062809 179362326 181961780 185381196 188673485 190232770 193159428 200157958 205825620 209256047 214454955 226408182 228279324 230951490 231726495 241449285 252946870 272942670 285349155 285939940 298937210 300236937 303536244 308968660 321932380 323440260 328830931 354125618 358724652 377346970 379420305 380465540 400315916 418512094 428909910 448405815 452816364 461902980 463452990 482898570 500394895 505893740 531188427 545885340 566020455 570698310 597874420 600473874 627768141 657661862 708251236 754693940 758840610 837024188 857819820 885314045 896811630 926905980 965797140 986492793 1000789790 1046280235 1062376854 1132040910 1141396620 1200947748 1255536282 1315323724 1501184685 1517681220 1644154655 1770628090 1793623260 1972985586 2001579580 2092560470 2124753708 2264081820 2301816517 2511072564 2655942135 3002369370 3138840705 3288309310 3541256180 3945971172 4185120940 4603633034 4932463965 5311884270 6004738740 6277681410 6576618620 6905449551 9207266068 9864927930 10623768540 11509082585 12555362820 13810899102 19729855860 23018165170 27621798204 34527247755 46036330340 69054495510 138108991020
- Sum of all divisors σ(n): 558564249600
- Sum of proper divisors (its aliquot sum) s(n): 420455258580
- 138108991020 is an abundant number, because the sum of its proper divisors (420455258580) is greater than itself. Its abundance is 282346267560
Bases of 138108991020
- Binary: 100000001001111110111111110110001011002
- Hexadecimal: 0x2027EFF62C
- Base-36: 1RG2IZHO
Squares and roots of 138108991020
- 138108991020 squared (1381089910202) is 19074093400562440640400
- 138108991020 cubed (1381089910203) is 2634303794172919377354286649208000
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The
square root of 138108991020 is 371630.1804482515 -
The
cube root of 138108991020 is 5169.0093469311
Scales and comparisons
How big is 138108991020?- 138,108,991,020 seconds is equal to 4,391 years, 22 weeks, 5 days, 16 hours, 37 minutes.
-
To count from 1 to 138,108,991,020 would take you about eight thousand, seven hundred eighty-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 138108991020 cubic inches would be around 430.8 feet tall.
Recreational maths with 138108991020
- 138108991020 backwards is 020199801831
- 138108991020 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138108991020's digits is 42
- More coming soon!
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The information we have on file for 138108991020 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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