138085627680
138,085,627,680 is an even composite number composed of seven prime numbers multiplied together.
138085627680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138085627680:
25 × 32 × 5 × 7 × 11 × 132 × 7369
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 13 × 7369)See below for interesting mathematical facts about the number 138085627680 from the Numbermatics database.
Names of 138085627680
- Cardinal: 138085627680 can be written as One hundred thirty-eight billion, eighty-five million, six hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3808562768 × 1011
Factors of 138085627680
Divisors of 138085627680
- Number of divisors d(n): 864
-
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 28 30 32 33 35 36 39 40 42 44 45 48 52 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 96 99 104 105 110 112 117 120 126 130 132 140 143 144 154 156 160 165 168 169 176 180 182 195 198 208 210 220 224 231 234 240 252 260 264 273 280 286 288 308 312 315 330 336 338 352 360 364 385 390 396 416 420 429 440 455 462 468 480 495 504 507 520 528 546 560 572 585 616 624 630 660 672 676 693 715 720 728 770 780 792 819 840 845 858 880 910 924 936 990 1001 1008 1014 1040 1056 1092 1120 1144 1155 1170 1183 1232 1248 1260 1287 1320 1352 1365 1386 1430 1440 1456 1521 1540 1560 1584 1638 1680 1690 1716 1760 1820 1848 1859 1872 1980 2002 2016 2028 2080 2145 2184 2288 2310 2340 2366 2464 2520 2535 2574 2640 2704 2730 2772 2860 2912 3003 3042 3080 3120 3168 3276 3360 3380 3432 3465 3549 3640 3696 3718 3744 3960 4004 4056 4095 4290 4368 4576 4620 4680 4732 5005 5040 5070 5148 5280 5408 5460 5544 5577 5720 5915 6006 6084 6160 6240 6435 6552 6760 6864 6930 7098 7280 7369 7392 7436 7605 7920 8008 8112 8190 8580 8736 9009 9240 9295 9360 9464 10010 10080 10140 10296 10647 10920 11088 11154 11440 11830 12012 12168 12320 12870 13013 13104 13520 13728 13860 14196 14560 14738 14872 15015 15210 15840 16016 16224 16380 16731 17160 17745 18018 18480 18590 18720 18928 20020 20280 20592 21294 21840 22107 22176 22308 22880 23660 24024 24336 25740 26026 26208 27040 27720 27885 28392 29476 29744 30030 30420 32032 32760 33462 34320 35490 36036 36845 36960 37180 37856 39039 40040 40560 41184 42588 43680 44214 44616 45045 47320 48048 48672 51480 51583 52052 53235 55440 55770 56784 58952 59488 60060 60840 65065 65520 66321 66924 68640 70980 72072 73690 74360 78078 80080 81059 81120 83655 85176 88428 89232 90090 94640 95797 96096 102960 103166 104104 106470 110535 110880 111540 113568 117117 117904 120120 121680 130130 131040 132642 133848 141960 144144 147380 148720 154749 156156 160160 162118 167310 170352 176856 178464 180180 189280 191594 195195 205920 206332 208208 212940 221070 223080 234234 235808 240240 243177 243360 257915 260260 265284 267696 283920 287391 288288 294760 297440 309498 312312 324236 331605 334620 340704 353712 360360 383188 390390 405295 412664 416416 425880 442140 446160 464247 468468 478985 480480 486354 515830 520520 530568 535392 567413 567840 574782 585585 589520 618996 624624 648472 663210 669240 670579 707424 720720 729531 766376 773745 780780 810590 825328 851760 862173 884280 892320 928494 936936 957970 972708 1031660 1041040 1053767 1061136 1134826 1149564 1171170 1179040 1215885 1237992 1245361 1249248 1296944 1326420 1338480 1341158 1436955 1441440 1459062 1532752 1547490 1561560 1621180 1650656 1702239 1703520 1724346 1768560 1856988 1873872 1915940 1945416 2011737 2063320 2082080 2107534 2122272 2269652 2299128 2321235 2342340 2431770 2475984 2490722 2593888 2652840 2676960 2682316 2837065 2873910 2918124 3065504 3094980 3123120 3161301 3242360 3352895 3404478 3448692 3537120 3647655 3713976 3736083 3747744 3831880 3890832 4023474 4126640 4215068 4310865 4539304 4598256 4642470 4684680 4863540 4951968 4981444 5106717 5268835 5305680 5364632 5674130 5747820 5836248 6035211 6189960 6226805 6246240 6322602 6484720 6705790 6808956 6897384 7295310 7376369 7427952 7472166 7663760 7781664 8046948 8253280 8430136 8511195 8621730 8717527 9078608 9196512 9284940 9369360 9483903 9727080 9962888 10058685 10213434 10537670 10611360 10729264 11208249 11348260 11495640 11672496 12070422 12379920 12453610 12645204 12969440 13411580 13617912 13698971 13794768 14590620 14752738 14855904 14944332 15327520 15806505 16093896 16860272 17022390 17243460 17435054 18157216 18569880 18680415 18738720 18967806 19454160 19925776 20117370 20426868 21075340 21458528 22129107 22416498 22696520 22991280 23344992 24140844 24759840 24907220 25290408 25533585 26152581 26823160 27235824 27397942 27589536 29181240 29505476 29888664 30176055 31613010 32187792 33720544 34044780 34486920 34870108 36881845 37139760 37360830 37935612 38908320 39851552 40234740 40853736 41096913 42150680 43587635 44258214 44832996 45393040 45982560 47419515 48281688 49814440 50580816 51067170 52305162 53646320 54471648 54795884 56041245 58362480 59010952 59777328 60352110 63226020 64375584 66387321 68089560 68494855 68973840 69740216 73763690 74279520 74721660 75871224 78457743 80469480 81707472 82193826 84301360 87175270 88516428 89665992 90786080 94839030 95892797 96563376 99628880 101161632 102134340 104610324 107292640 109591768 110645535 112082490 116724960 118021904 119554656 120704220 123290739 126452040 130762905 132774642 136179120 136989710 137947680 139480432 147527380 149443320 151742448 156915486 160938960 163414944 164387652 168602720 174350540 177032856 179331984 189678060 191785594 193126752 199257760 204268680 205484565 209220648 219183536 221291070 224164980 236043808 241408440 246581478 252904080 261525810 265549284 272358240 273979420 278960864 287678391 295054760 298886640 303484896 313830972 321877920 328775304 331936605 348701080 354065712 358663968 379356120 383571188 392288715 408537360 410969130 418441296 438367072 442582140 448329960 479463985 482816880 493162956 505808160 523051620 531098568 547958840 575356782 590109520 597773280 616453695 627661944 657550608 663873210 697402160 708131424 758712240 767142376 784577430 817074720 821938260 836882592 863035173 885164280 896659920 958927970 965633760 986325912 1046103240 1062197136 1095917680 1150713564 1180219040 1232907390 1255323888 1315101216 1327746420 1394804320 1438391955 1517424480 1534284752 1569154860 1643876520 1726070346 1770328560 1793319840 1917855940 1972651824 2092206480 2124394272 2191835360 2301427128 2465814780 2510647776 2655492840 2876783910 3068569504 3138309720 3287753040 3452140692 3540657120 3835711880 3945303648 4184412960 4315175865 4602854256 4931629560 5310985680 5753567820 6276619440 6575506080 6904281384 7671423760 8630351730 9205708512 9863259120 10621971360 11507135640 12553238880 13808562768 15342847520 17260703460 19726518240 23014271280 27617125536 34521406920 46028542560 69042813840 138085627680
- Sum of all divisors σ(n): 636245850240
- Sum of proper divisors (its aliquot sum) s(n): 498160222560
- 138085627680 is an abundant number, because the sum of its proper divisors (498160222560) is greater than itself. Its abundance is 360074594880
Bases of 138085627680
- Binary: 100000001001101000101101110111001000002
- Hexadecimal: 0x20268B7720
- Base-36: 1RFOM880
Squares and roots of 138085627680
- 138085627680 squared (1380856276802) is 19067640571779582182400
- 138085627680 cubed (1380856276803) is 2632967116730817700264848248832000
-
The
square root of 138085627680 is 371598.7455307135 -
The
cube root of 138085627680 is 5168.7178570183
Scales and comparisons
How big is 138085627680?- 138,085,627,680 seconds is equal to 4,390 years, 36 weeks, 1 day, 6 hours, 48 minutes.
-
To count from 1 to 138,085,627,680 would take you about eight thousand, seven hundred eighty-one 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 138085627680 cubic inches would be around 430.7 feet tall.
Recreational maths with 138085627680
- 138085627680 backwards is 086726580831
- The number of decimal digits it has is: 12
- The sum of 138085627680's digits is 54
- More coming soon!
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