138388473102880
138,388,473,102,880 is an even composite number composed of eight prime numbers multiplied together.
138388473102880 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138388473102880:
25 × 5 × 73 × 112 × 13 × 19 × 139 × 607
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 19 × 139 × 607)See below for interesting mathematical facts about the number 138388473102880 from the Numbermatics database.
Names of 138388473102880
- Cardinal: 138388473102880 can be written as One hundred thirty-eight trillion, three hundred eighty-eight billion, four hundred seventy-three million, one hundred two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3838847310288 × 1014
Factors of 138388473102880
Divisors of 138388473102880
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 26 28 32 35 38 40 44 49 52 55 56 65 70 76 77 80 88 91 95 98 104 110 112 121 130 133 139 140 143 152 154 160 176 182 190 196 208 209 220 224 242 245 247 260 266 278 280 286 304 308 343 352 364 380 385 392 416 418 440 455 484 490 494 520 532 539 556 560 572 605 607 608 616 637 665 686 695 715 728 760 770 784 836 847 880 910 931 968 973 980 988 1001 1040 1045 1064 1078 1112 1120 1144 1210 1214 1232 1235 1274 1330 1372 1390 1430 1456 1463 1520 1529 1540 1568 1573 1672 1694 1715 1729 1760 1807 1820 1862 1936 1946 1960 1976 2002 2080 2090 2128 2156 2224 2288 2299 2420 2428 2464 2470 2548 2641 2660 2695 2717 2744 2780 2860 2912 2926 3035 3040 3058 3080 3146 3185 3344 3388 3430 3458 3614 3640 3724 3773 3872 3892 3920 3952 4004 4180 4235 4249 4256 4312 4448 4459 4576 4598 4655 4840 4856 4865 4940 5005 5096 5282 5320 5390 5434 5488 5560 5720 5852 5929 6070 6116 6160 6292 6370 6517 6677 6688 6776 6811 6860 6916 7007 7228 7280 7315 7448 7546 7645 7784 7840 7865 7891 7904 8008 8360 8470 8498 8624 8645 8918 9035 9196 9310 9680 9712 9730 9880 10010 10192 10241 10564 10640 10703 10780 10868 10976 11011 11120 11440 11495 11533 11704 11858 12103 12140 12232 12320 12584 12649 12740 13034 13205 13354 13552 13585 13622 13720 13832 14014 14456 14560 14630 14896 15092 15290 15568 15730 15782 16016 16093 16720 16819 16940 16996 17248 17290 17836 18070 18392 18487 18620 18865 19019 19360 19424 19460 19760 19877 20020 20384 20482 21128 21245 21280 21406 21560 21736 22022 22240 22295 22880 22990 23066 23408 23716 24206 24280 24464 25168 25298 25480 26068 26410 26708 27104 27170 27244 27440 27664 28028 28912 29051 29260 29645 29743 29792 29887 30184 30580 31136 31460 31564 32032 32186 32585 33385 33440 33638 33880 33992 34055 34333 34580 35035 35672 36140 36784 36974 37240 37730 38038 38920 39455 39520 39754 40040 40964 41503 42256 42490 42812 43120 43472 44044 44590 45980 46132 46739 46816 47432 47677 48412 48560 48928 49049 50336 50596 50960 51205 52136 52820 53416 53515 54340 54488 54880 55055 55237 55328 56056 57665 57824 58102 58520 59290 59486 59774 60368 60515 61160 62920 63128 63245 64372 65170 66770 67276 67760 67984 68110 68666 69160 70070 71344 71687 72280 73447 73568 73948 74480 74921 75460 76076 77077 77840 78910 79508 80080 80465 80731 81928 83006 84095 84373 84512 84721 84980 85624 86240 86801 86944 88088 88543 89180 91960 92264 92435 93478 94864 95095 95354 96824 97120 98098 99385 101192 101920 102410 104272 105640 106832 107030 108680 108976 110110 110474 112112 112651 115330 116204 117040 117733 118580 118972 119548 120736 121030 122320 125840 126256 126490 126863 128744 129409 130340 133133 133540 134552 135520 135968 136220 137332 138320 139139 140140 142688 143374 144560 145255 146894 147896 148715 148960 149435 149842 149929 150920 152152 154154 155680 157820 159016 160160 160930 161462 163856 166012 168190 168746 169442 169960 171248 171665 173602 176176 177086 178360 183920 184528 184870 186956 189728 190190 190708 193648 196196 198770 202384 203357 204820 207515 208201 208544 209209 211280 213664 214060 217360 217952 218647 220220 220948 224224 225302 230660 232408 233695 234080 235466 237160 237944 238385 239096 240331 242060 244640 245245 251680 252512 252980 253726 257488 258818 260680 266266 267080 269104 272440 274664 276185 276640 278278 280280 286748 289120 290510 293788 295792 297430 298870 299684 299858 301840 304304 308308 315640 318032 319561 321860 322924 327173 327712 332024 336380 337492 338884 339920 342496 343330 347204 352352 354172 356720 358435 367235 367840 369056 369740 373912 374605 377663 380380 381416 385385 386659 387296 392392 397540 403655 404768 406714 409640 415030 416402 418418 421865 422560 423605 428120 434005 434720 437294 440440 441896 442715 450604 461320 464816 467390 470932 474320 475888 476770 478192 480662 484120 490490 505960 507452 514129 514976 517636 521360 524447 532532 534160 538208 539539 544880 549328 552370 556556 560560 563255 565117 573496 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1252679120 1256820208 1269898630 1273357316 1292987696 1295384090 1310000692 1327187290 1351317968 1357814689 1367583140 1392448288 1410716560 1424922499 1429278620 1451312720 1455265504 1458809170 1480438960 1497143648 1499918420 1504876828 1551788216 1562952160 1571025260 1591696645 1594318880 1604690087 1616234620 1628482856 1633461280 1637500865 1640198560 1645620704 1667210480 1689147460 1714192480 1719859232 1728127786 1740560360 1753750768 1777858082 1795457440 1819081880 1833931528 1847125280 1858062206 1871429560 1881096035 1884195040 1914616396 1930454240 1939735270 1975003184 2000990068 2015385680 2031837808 2035603570 2042332838 2057025880 2072614544 2123499664 2149824040 2188133024 2192188460 2199435364 2262728468 2286845792 2292414410 2315195120 2326404080 2334094672 2364806444 2381819440 2393270495 2399869472 2468753980 2501237585 2505358240 2513640416 2521655851 2539797260 2546714632 2585975392 2590768180 2620001384 2654374580 2702635936 2715629378 2735166280 2749294205 2821433120 2828410585 2849844998 2858557240 2902625440 2917618340 2956008055 2960877920 2999836840 3009753656 3103576432 3142050520 3183393290 3209380174 3232469240 3256965712 3275001730 3334420960 3378294920 3456255572 3481120720 3501732619 3507501536 3555716164 3638163760 3667863056 3716124412 3742859120 3762192070 3829232792 3879470540 3950006368 4001980136 4030771360 4063675616 4071207140 4084665676 4114051760 4138411277 4145229088 4246999328 4299648080 4320319465 4384376920 4398870728 4444645205 4525456936 4584828820 4630390240 4645155515 4652808160 4668189344 4729612888 4763638880 4786540990 4937507960 5002475170 5043311702 5079594520 5093429264 5105832095 5181536360 5240002768 5308749160 5431258756 5470332560 5498588410 5656821170 5699689996 5717114480 5835236680 5912016110 5999673680 6019507312 6048447251 6207152864 6222503287 6284101040 6366786580 6418760348 6464938480 6503217721 6513931424 6550003460 6756589840 6789073445 6912511144 6962241440 7003465238 7111432328 7124612495 7148164933 7276327520 7335726112 7432248824 7485718240 7524384140 7658465584 7758941080 8003960272 8023450435 8142414280 8169331352 8228103520 8276822554 8599296160 8640638930 8768753840 8797741456 8889290410 9050913872 9169657640 9290311030 9459225776 9504702823 9573081980 9875015920 10004950340 10086623404 10159189040 10186858528 10211664190 10363072720 10480005536 10617498320 10862517512 10940665120 10997176820 11232830609 11313642340 11399379992 11434228960 11670473360 11824032220 11999347360 12039014624 12096894502 12445006574 12568202080 12608279255 12733573160 12837520696 12929876960 13006435442 13100006920 13513179680 13578146890 13825022288 14006930476 14222864656 14249224990 14296329866 14864497648 15048768280 15316931168 15517882160 16007920544 16046900870 16284828560 16338662704 16553645108 17281277860 17508663095 17537507680 17595482912 17651590957 17778580820 18101827744 18339315280 18580622060 18918451552 19009405646 19146163960 19750031840 20009900680 20173246808 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78629814263 80039602720 80692987232 81693313520 82768225540 87977414560 88257954785 89862644872 90509138720 91045048094 94592257760 95047028230 96775156016 99560052592 100866234040 104051483536 108625175120 112055443808 112328306090 113993799920 114370638928 120968945020 123561136699 124450065740 128375206960 130064354420 132429160864 133065839522 138250222880 140069304760 141212727656 142228646560 142963298660 148644976480 152075245168 157259628526 163386627040 165536451080 176515909570 179725289744 182090096188 190094056460 193550312032 199120105184 201732468080 208102967072 217250350240 224656612180 227612620235 227987599840 228741277856 241937890040 247122273398 248900131480 256750413920 260128708840 266131679044 280138609520 282425455312 285926597320 304150490336 314519257052 331072902160 332664598805 353031819140 359450579488 364180192376 380188112920 393149071315 403464936160 449313224360 455225240470 483875780080 494244546796 497800262960 520257417680 532263358088 560277219040 564850910624 571853194640 617805683495 629038514104 662145804320 665329197610 706063638280 728360384752 760376225840 786298142630 864927956893 898626448720 910450480940 967751560160 988489093592 995600525920 1040514835360 1064526716176 1143706389280 1235611366990 1258077028208 1330658395220 1412127276560 1456720769504 1520752451680 1572596285260 1729855913786 1797252897440 1820900961880 1976978187184 2129053432352 2471222733980 2516154056416 2661316790440 2824254553120 3145192570520 3459711827572 3641801923760 3953956374368 4324639784465 4942445467960 5322633580880 6290385141040 6919423655144 7283603847520 8649279568930 9884890935920 10645267161760 12580770282080 13838847310288 17298559137860 19769781871840 27677694620576 34597118275720 69194236551440 138388473102880
- Sum of all divisors σ(n): 479284162560000
- Sum of proper divisors (its aliquot sum) s(n): 340895689457120
- 138388473102880 is an abundant number, because the sum of its proper divisors (340895689457120) is greater than itself. Its abundance is 202507216354240
Bases of 138388473102880
- Binary: 111110111011101000100111100011111000010001000002
- Hexadecimal: 0x7DDD13C7C220
- Base-36: 1D1YSBSU1S
Squares and roots of 138388473102880
- 138388473102880 squared (1383884731028802) is 19151369487746541215064294400
- 138388473102880 cubed (1383884731028803) is 2650328781238328942683676459044265807872000
-
The
square root of 138388473102880 is 11763863.0178559967 -
The
cube root of 138388473102880 is 51724.9372571551
Scales and comparisons
How big is 138388473102880?- 138,388,473,102,880 seconds is equal to 4,400,325 years, 19 weeks, 5 days, 16 hours, 34 minutes, 40 seconds.
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To count from 1 to 138,388,473,102,880 would take you about eleven million, eight hundred thirteen 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 138388473102880 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138388473102880
- 138388473102880 backwards is 088201374883831
- The number of decimal digits it has is: 15
- The sum of 138388473102880's digits is 64
- More coming soon!
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The information we have on file for 138388473102880 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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