138006966240
138,006,966,240 is an even composite number composed of seven prime numbers multiplied together.
138006966240 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 138006966240:
25 × 33 × 5 × 112 × 13 × 23 × 883
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 23 × 883)See below for interesting mathematical facts about the number 138006966240 from the Numbermatics database.
Names of 138006966240
- Cardinal: 138006966240 can be written as One hundred thirty-eight billion, six million, nine hundred sixty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3800696624 × 1011
Factors of 138006966240
Divisors of 138006966240
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 23 24 26 27 30 32 33 36 39 40 44 45 46 48 52 54 55 60 65 66 69 72 78 80 88 90 92 96 99 104 108 110 115 117 120 121 130 132 135 138 143 144 156 160 165 176 180 184 195 198 207 208 216 220 230 234 240 242 253 260 264 270 276 286 288 297 299 312 330 345 351 352 360 363 368 390 396 414 416 429 432 440 460 468 480 484 495 506 520 528 540 552 572 585 594 598 605 621 624 660 690 702 715 720 726 736 759 780 792 828 858 864 880 883 897 920 936 968 990 1012 1035 1040 1056 1080 1089 1104 1144 1170 1188 1196 1210 1242 1248 1265 1287 1320 1380 1404 1430 1440 1452 1485 1495 1518 1560 1573 1584 1656 1716 1755 1760 1766 1794 1815 1840 1872 1936 1980 2024 2070 2080 2145 2160 2178 2208 2277 2288 2340 2376 2392 2420 2484 2530 2574 2640 2649 2691 2760 2783 2808 2860 2904 2970 2990 3036 3105 3120 3146 3168 3267 3289 3312 3432 3510 3532 3588 3630 3680 3744 3795 3861 3872 3960 4048 4140 4290 4320 4356 4415 4485 4554 4576 4680 4719 4752 4784 4840 4968 5060 5148 5280 5298 5382 5445 5520 5566 5616 5720 5808 5940 5980 6072 6210 6240 6292 6435 6534 6578 6624 6831 6864 7020 7064 7176 7260 7590 7722 7865 7920 7947 8073 8096 8280 8349 8580 8712 8830 8970 9108 9360 9438 9504 9568 9680 9713 9867 9936 10120 10296 10596 10764 10890 11040 11132 11232 11385 11440 11479 11616 11880 11960 12144 12420 12584 12870 13068 13156 13245 13455 13662 13728 13915 14040 14128 14157 14352 14520 15180 15444 15730 15840 15894 16146 16335 16445 16560 16698 17160 17424 17660 17940 18216 18720 18876 19305 19360 19426 19734 19872 20240 20309 20592 21192 21528 21780 22264 22770 22880 22958 23595 23760 23841 23920 24288 24840 25047 25168 25740 26136 26312 26490 26910 27324 27830 28080 28256 28314 28704 29040 29139 29601 30360 30888 31460 31788 32292 32670 32890 33120 33396 34155 34320 34437 34848 35320 35880 36179 36432 37752 38610 38852 39468 39735 40365 40480 40618 41184 41745 42384 42471 43056 43560 44528 45540 45916 47190 47520 47682 47840 48565 49335 49680 50094 50336 51480 52272 52624 52980 53820 54648 55660 56160 56628 57395 58080 58278 59202 60720 60927 61776 62920 63576 64584 65340 65780 66792 68310 68640 68874 70640 70785 71760 72358 72864 75141 75504 77220 77704 78936 79470 80730 81236 83490 84768 84942 86112 87120 87417 88803 89056 91080 91832 94380 95364 97130 98670 99360 100188 101545 102960 103311 104544 105248 105960 106843 107640 108537 109296 111320 113256 114790 116556 118404 119205 121440 121854 123552 125235 125840 126269 127152 129168 130680 131560 133584 136620 137748 141280 141570 143520 144716 145695 148005 150282 151008 154440 155408 157872 158940 161460 162472 166980 169884 172185 174240 174834 177606 180895 182160 182781 183664 188760 190728 194260 197340 200376 203090 205920 206622 211920 212355 213686 215280 217074 218592 222640 223399 226512 229580 233112 236808 238410 243708 250470 251680 252538 254304 258336 261360 262251 263120 264017 267168 273240 275496 283140 289432 291390 296010 300564 304635 308880 309933 310816 315744 317880 320529 322920 324944 325611 333960 339768 344370 349668 355212 361790 364320 365562 367328 375705 377520 378807 381456 388520 394680 400752 406180 413244 423840 424710 427372 430560 434148 437085 444015 445280 446798 453024 459160 466224 473616 476820 487416 500940 505076 516555 522720 524502 526240 528034 534215 542685 546480 548343 550992 566280 578864 582780 592020 601128 609270 617760 619866 631345 635760 641058 645840 649888 651222 667920 670197 679536 688740 699336 710424 723580 731124 751410 755040 757614 762912 777040 789360 792051 801504 812360 826488 849420 854744 868296 874170 888030 893596 913905 918320 932448 947232 953640 961587 974832 976833 1001880 1010152 1033110 1049004 1056068 1068430 1085370 1092960 1096686 1101984 1116995 1132560 1136421 1157728 1165560 1184040 1202256 1218540 1239732 1262690 1271520 1282116 1291680 1302444 1311255 1320085 1335840 1340394 1359072 1377480 1388959 1398672 1420848 1447160 1462248 1502820 1515228 1549665 1554080 1578720 1584102 1602645 1624720 1628055 1652976 1698840 1709488 1736592 1748340 1776060 1787192 1827810 1836640 1894035 1907280 1923174 1949664 1953666 2003760 2010591 2020304 2066220 2098008 2112136 2136860 2170740 2193372 2233990 2265120 2272842 2331120 2368080 2376153 2404512 2437080 2457389 2479464 2525380 2564232 2604888 2622510 2640170 2680788 2741715 2754960 2777918 2797344 2841696 2884761 2894320 2904187 2924496 3005640 3030456 3099330 3168204 3205290 3249440 3256110 3305952 3350985 3397680 3409263 3418976 3473184 3496680 3552120 3574384 3655620 3788070 3814560 3846348 3907332 3960255 4007520 4021182 4040608 4132440 4166877 4196016 4224272 4273720 4341480 4386744 4467980 4545684 4662240 4736160 4752306 4807935 4874160 4884165 4914778 4958928 5050760 5128464 5209776 5245020 5280340 5361576 5483430 5509920 5555836 5682105 5769522 5788640 5808374 5848992 6011280 6031773 6060912 6198660 6336408 6410580 6512220 6701970 6795360 6818526 6944795 6993360 7104240 7128459 7148768 7311240 7372167 7576140 7692696 7814664 7920510 8042364 8264880 8333754 8392032 8448544 8547440 8682960 8712561 8773488 8935960 9091368 9504612 9615870 9748320 9768330 9829556 9917856 10052955 10101520 10256928 10419552 10490040 10560680 10723152 10966860 11111672 11364210 11539044 11616748 11880765 12022560 12063546 12121824 12286945 12397320 12500631 12672816 12821160 13024440 13403940 13637052 13889590 13986720 14208480 14256918 14423805 14520935 14622480 14744334 15152280 15385392 15629328 15841020 16084728 16529760 16667508 17046315 17094880 17365920 17425122 17546976 17871920 18182736 19009224 19231740 19536660 19659112 20105910 20203040 20834385 20980080 21121360 21446304 21933720 22116501 22223344 22728420 23078088 23233496 23761530 24127092 24573890 24794640 25001262 25345632 25642320 26048880 26137683 26807880 27274104 27779180 28513836 28847610 29041870 29244960 29488668 30158865 30304560 30770784 31258656 31682040 31946057 32169456 33335016 34092630 34850244 35642295 35743840 36365472 36860835 37501893 38018448 38463480 39073320 39318224 40211820 41668770 41960160 42242720 43562805 43867440 44233002 44446688 45456840 46156176 46466992 47523060 48254184 49147780 49589280 50002524 51284640 52097760 52275366 53615760 54548208 55558360 57027672 57695220 58083740 58977336 60317730 60609120 62503155 63364080 63892114 64338912 66349503 66670032 68185260 69700488 71284590 73721670 75003786 76036896 76926960 78146640 78413049 78636448 80423640 83337540 87125610 87734880 88466004 90913680 92312352 92933984 95046120 95838171 96508368 98295560 100005048 104550732 107231520 109096416 110582505 111116720 114055344 115390440 116167480 117954672 120635460 125006310 126728160 127784228 130688415 132699006 133340064 136370520 139400976 142569180 147443340 150007572 153853920 156293280 156826098 159730285 160847280 166675080 174251220 176932008 181827360 187509465 190092240 191676342 193016736 196591120 200010096 209101464 221165010 222233440 228110688 230780880 232334960 235909344 241270920 250012620 255568456 261376830 265398012 272741040 278801952 285138360 287514513 294886680 300015144 313652196 319460570 321694560 331747515 333350160 348502440 353864016 375018930 380184480 383352684 392065245 393182240 400020192 418202928 442330020 461561760 464669920 479190855 482541840 500025240 511136912 522753660 530796024 545482080 570276720 575029026 589773360 600030288 627304392 638921140 663495030 666700320 697004880 707728032 750037860 766705368 784130490 836405856 862543539 884660040 958381710 965083680 1000050480 1022273824 1045507320 1061592048 1140553440 1150058052 1179546720 1200060576 1254608784 1277842280 1326990060 1394009760 1437572565 1500075720 1533410736 1568260980 1725087078 1769320080 1916763420 2000100960 2091014640 2123184096 2300116104 2509217568 2555684560 2653980120 2875145130 3000151440 3066821472 3136521960 3450174156 3538640160 3833526840 4182029280 4312717695 4600232208 5111369120 5307960240 5750290260 6000302880 6273043920 6900348312 7667053680 8625435390 9200464416 10615920480 11500580520 12546087840 13800696624 15334107360 17250870780 23001161040 27601393248 34501741560 46002322080 69003483120 138006966240
- Sum of all divisors σ(n): 597303383040
- Sum of proper divisors (its aliquot sum) s(n): 459296416800
- 138006966240 is an abundant number, because the sum of its proper divisors (459296416800) is greater than itself. Its abundance is 321289450560
Bases of 138006966240
- Binary: 100000001000011101101100101111111000002
- Hexadecimal: 0x2021DB2FE0
- Base-36: 1REDS8O0
Squares and roots of 138006966240
- 138006966240 squared (1380069662402) is 19045922730768499737600
- 138006966240 cubed (1380069662403) is 2628470015314816952542412058624000
-
The
square root of 138006966240 is 371492.8885456625 -
The
cube root of 138006966240 is 5167.7362052119
Scales and comparisons
How big is 138006966240?- 138,006,966,240 seconds is equal to 4,388 years, 10 weeks, 20 hours, 24 minutes.
-
To count from 1 to 138,006,966,240 would take you about eight thousand, seven hundred seventy-six 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 138006966240 cubic inches would be around 430.6 feet tall.
Recreational maths with 138006966240
- 138006966240 backwards is 042669600831
- 138006966240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138006966240's digits is 45
- More coming soon!
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"Number 138006966240 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138006966240 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138006966240/
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The information we have on file for 138006966240 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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