138062564640
138,062,564,640 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138062564640 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
138062564640 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 138062564640:
25 × 33 × 5 × 72 × 11 × 13 × 4561
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 13 × 4561)See below for interesting mathematical facts about the number 138062564640 from the Numbermatics database.
Names of 138062564640
- Cardinal: 138062564640 can be written as One hundred thirty-eight billion, sixty-two million, five hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3806256464 × 1011
Factors of 138062564640
Divisors of 138062564640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 32 33 35 36 39 40 42 44 45 48 49 52 54 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 96 98 99 104 105 108 110 112 117 120 126 130 132 135 140 143 144 147 154 156 160 165 168 176 180 182 189 195 196 198 208 210 216 220 224 231 234 240 245 252 260 264 270 273 280 286 288 294 297 308 312 315 330 336 351 352 360 364 378 385 390 392 396 416 420 429 432 440 441 455 462 468 480 490 495 504 520 528 539 540 546 560 572 585 588 594 616 624 630 637 660 672 693 702 715 720 728 735 756 770 780 784 792 819 840 858 864 880 882 910 924 936 945 980 990 1001 1008 1040 1056 1078 1080 1092 1120 1144 1155 1170 1176 1188 1232 1248 1260 1274 1287 1320 1323 1365 1386 1404 1430 1440 1456 1470 1485 1512 1540 1560 1568 1584 1617 1638 1680 1716 1755 1760 1764 1820 1848 1872 1890 1911 1960 1980 2002 2016 2079 2080 2145 2156 2160 2184 2205 2288 2310 2340 2352 2376 2457 2464 2520 2548 2574 2640 2646 2695 2730 2772 2808 2860 2912 2940 2970 3003 3024 3080 3120 3168 3185 3234 3276 3360 3432 3465 3510 3528 3640 3696 3744 3780 3822 3861 3920 3960 4004 4095 4158 4290 4312 4320 4368 4410 4561 4576 4620 4680 4704 4752 4851 4914 5005 5040 5096 5148 5280 5292 5390 5460 5544 5616 5720 5733 5880 5940 6006 6048 6160 6240 6370 6435 6468 6552 6615 6864 6930 7007 7020 7056 7280 7392 7560 7644 7722 7840 7920 8008 8085 8190 8316 8580 8624 8736 8820 9009 9122 9240 9360 9504 9555 9702 9828 10010 10080 10192 10296 10395 10584 10780 10920 11088 11232 11440 11466 11760 11880 12012 12285 12320 12740 12870 12936 13104 13230 13683 13728 13860 14014 14040 14112 14553 14560 15015 15120 15288 15444 15840 16016 16170 16380 16632 17160 17199 17248 17640 18018 18244 18480 18720 19110 19305 19404 19656 20020 20384 20592 20790 21021 21168 21560 21840 22176 22805 22880 22932 23520 23760 24024 24255 24570 25480 25740 25872 26208 26460 27027 27366 27720 28028 28080 28665 29106 30030 30240 30576 30888 31927 32032 32340 32760 33264 34320 34398 35035 35280 36036 36488 36960 38220 38610 38808 39312 40040 41049 41184 41580 42042 42336 43120 43680 45045 45610 45864 47520 48048 48510 49140 50171 50960 51480 51744 52920 54054 54732 55440 56056 56160 57330 58212 59293 60060 61152 61776 63063 63854 64680 65520 66528 68415 68640 68796 70070 70560 72072 72765 72976 76440 77220 77616 78624 80080 82098 83160 84084 85995 86240 90090 91220 91728 95781 96096 97020 98280 100342 101920 102960 105105 105840 108108 109464 110880 112112 114660 116424 118586 120120 123147 123552 126126 127708 129360 131040 135135 136830 137592 140140 144144 145530 145952 150513 152880 154440 155232 159635 160160 164196 166320 168168 171990 177879 180180 182440 183456 189189 191562 194040 196560 200684 205245 205920 210210 211680 216216 218928 223489 224224 229320 232848 237172 240240 246294 250855 252252 255416 258720 270270 273660 275184 280280 287343 288288 291060 296465 301026 305760 308880 315315 319270 328392 332640 336336 343980 351197 355758 360360 364880 378378 383124 388080 393120 401368 410490 415051 420420 432432 437856 446978 451539 458640 465696 474344 478905 480480 492588 501710 504504 510832 533637 540540 547320 550368 560560 574686 582120 592930 602052 615735 617760 630630 638540 652223 656784 670467 672672 687960 702394 711516 720720 729760 752565 756756 766248 776160 802736 820980 830102 840840 862029 864864 889395 893956 903078 917280 945945 948688 957810 985176 1003420 1009008 1021664 1053591 1067274 1081080 1094640 1117445 1121120 1149372 1164240 1185860 1204104 1231470 1245153 1261260 1277080 1304446 1313568 1340934 1354617 1375920 1404788 1423032 1436715 1441440 1505130 1513512 1532496 1600911 1605472 1641960 1660204 1681680 1724058 1755985 1778790 1787912 1806156 1891890 1897376 1915620 1956669 1970352 2006840 2011401 2018016 2075255 2107182 2134548 2162160 2189280 2234890 2257695 2298744 2328480 2371720 2408208 2458379 2462940 2490306 2522520 2554160 2608892 2668185 2681868 2709234 2751840 2809576 2846064 2873430 2905357 3010260 3027024 3064992 3160773 3201822 3261115 3283920 3320408 3352335 3363360 3448116 3511970 3557580 3575824 3612312 3735459 3783780 3831240 3913338 3940704 4013680 4022802 4150510 4214364 4269096 4310145 4324320 4469780 4515390 4565561 4597488 4743440 4816416 4916758 4925880 4980612 5045040 5108320 5217784 5267955 5336370 5363736 5418468 5619152 5692128 5746860 5810714 5870007 6020520 6034203 6054048 6225765 6321546 6403644 6522230 6567840 6640816 6704670 6773085 6896232 7023940 7115160 7151648 7224624 7375137 7470918 7567560 7662480 7826676 8004555 8027360 8045604 8301020 8428728 8538192 8620290 8716071 8939560 9030780 9131122 9194976 9482319 9486880 9783345 9833516 9851760 9961224 10057005 10090080 10435568 10535910 10672740 10727472 10836936 11206377 11238304 11493720 11621428 11740014 12041040 12068406 12291895 12451530 12643092 12807288 13044460 13281632 13409340 13546170 13696683 13792464 14047880 14230320 14449248 14526785 14750274 14941836 15135120 15324960 15653352 15803865 16009110 16091208 16602040 16857456 17076384 17240580 17432142 17610021 17879120 18061560 18262244 18677295 18964638 19566690 19667032 19703520 19922448 20114010 20871136 21071820 21345480 21454944 21673872 22125411 22412754 22827805 22987440 23242856 23480028 24082080 24136812 24583790 24903060 25286184 25614576 26088920 26148213 26818680 27092340 27393366 27584928 28095760 28460640 29053570 29350035 29500548 29883672 30171015 30270240 31306704 31607730 31958927 32018220 32182416 33204080 33714912 34481160 34864284 35220042 35758240 36123120 36524488 36875685 37354590 37929276 39133380 39334064 39844896 40228020 41090049 42143640 42690960 43347744 43580355 44250822 44825508 45655610 45974880 46485712 46960056 47411595 48273624 49167580 49806120 50572368 51229152 52177840 52296426 53637360 54184680 54786732 56031885 56191520 58107140 58700070 59001096 59767344 60342030 62613408 63215460 63917854 64036440 64364832 66376233 66408160 68483415 68962320 69728568 70440084 72246240 73048976 73751370 74709180 75858552 78266760 78444639 78668128 80456040 82180098 84287280 85381920 87160710 88050105 88501644 89651016 91311220 92971424 93920112 94823190 95876781 96547248 98335160 99612240 101144736 104355680 104592852 107274720 108369360 109573464 110627055 112063770 116214280 117400140 118002192 119534688 120684060 123270147 126430920 127835708 128072880 130741065 132752466 136966830 137924640 139457136 140880168 146097952 147502740 149418360 151717104 156533520 156889278 159794635 160912080 164360196 168574560 174321420 176100210 177003288 179302032 182622440 187840224 189646380 191753562 193094496 196670320 199224480 205450245 209185704 216738720 219146928 221254110 224127540 232428560 234800280 236004384 241368120 246540294 252861840 255671416 256145760 261482130 265504932 273933660 278914272 281760336 287630343 295005480 298836720 303434208 313067040 313778556 319589270 321824160 328720392 331881165 348642840 352200420 354006576 358604064 365244880 379292760 383507124 392223195 393340640 410900490 418371408 438293856 442508220 448255080 464857120 469600560 479383905 482736240 493080588 505723680 511342832 522964260 531009864 547867320 563520672 575260686 590010960 597673440 616350735 627557112 639178540 657440784 663762330 697285680 704400840 708013152 730489760 758585520 767014248 784446390 821800980 836742816 862891029 885016440 896510160 939201120 958767810 965472480 986161176 1022685664 1045928520 1062019728 1095734640 1150521372 1180021920 1232701470 1255114224 1278357080 1314881568 1327524660 1394571360 1408801680 1438151715 1517171040 1534028496 1568892780 1643601960 1725782058 1770032880 1793020320 1917535620 1972322352 2091857040 2124039456 2191469280 2301042744 2465402940 2510228448 2556714160 2655049320 2817603360 2876303430 3068056992 3137785560 3287203920 3451564116 3540065760 3835071240 3944644704 4183714080 4314455145 4602085488 4930805880 5113428320 5310098640 5752606860 6275571120 6574407840 6903128232 7670142480 8628910290 9204170976 9861611760 10620197280 11505213720 12551142240 13806256464 15340284960 17257820580 19723223520 23010427440 27612512928 34515641160 46020854880 69031282320 138062564640
- Sum of all divisors σ(n): 660527965440
- Sum of proper divisors (its aliquot sum) s(n): 522465400800
- 138062564640 is an abundant number, because the sum of its proper divisors (522465400800) is greater than itself. Its abundance is 384402836160
Bases of 138062564640
- Binary: 100000001001010010101110001101001000002
- Hexadecimal: 0x20252B8D20
- Base-36: 1RFAVWO0
Squares and roots of 138062564640
- 138062564640 squared (1380625646402) is 19061271754974178329600
- 138062564640 cubed (1380625646403) is 2631648063791728737161287225344000
-
The
square root of 138062564640 is 371567.7120525947 -
The
cube root of 138062564640 is 5168.4300815129
Scales and comparisons
How big is 138062564640?- 138,062,564,640 seconds is equal to 4,389 years, 50 weeks, 8 hours, 24 minutes.
-
To count from 1 to 138,062,564,640 would take you about eight thousand, seven hundred seventy-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 138062564640 cubic inches would be around 430.7 feet tall.
Recreational maths with 138062564640
- 138062564640 backwards is 046465260831
- 138062564640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138062564640's digits is 45
- More coming soon!
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The information we have on file for 138062564640 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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