138346531991040
138,346,531,991,040 is an even composite number composed of seven prime numbers multiplied together.
138346531991040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138346531991040:
29 × 3 × 5 × 73 × 193 × 421 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 73 × 193 × 421 × 3037)See below for interesting mathematical facts about the number 138346531991040 from the Numbermatics database.
Names of 138346531991040
- Cardinal: 138346531991040 can be written as One hundred thirty-eight trillion, three hundred forty-six billion, five hundred thirty-one million, nine hundred ninety-one thousand and forty.
Scientific notation
- Scientific notation: 1.3834653199104 × 1014
Factors of 138346531991040
Divisors of 138346531991040
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 193 219 240 256 292 320 365 384 386 421 438 480 512 579 584 640 730 768 772 842 876 960 965 1095 1158 1168 1263 1280 1460 1536 1544 1684 1752 1920 1930 2105 2190 2316 2336 2526 2560 2895 2920 3037 3088 3368 3504 3840 3860 4210 4380 4632 4672 5052 5790 5840 6074 6176 6315 6736 7008 7680 7720 8420 8760 9111 9264 9344 10104 11580 11680 12148 12352 12630 13472 14016 14089 15185 15440 16840 17520 18222 18528 18688 20208 23160 23360 24296 24704 25260 26944 28032 28178 30370 30733 30880 33680 35040 36444 37056 37376 40416 42267 45555 46320 46720 48592 49408 50520 53888 56064 56356 60740 61466 61760 67360 70080 70445 72888 74112 80832 81253 84534 91110 92199 92640 93440 97184 98816 101040 107776 112128 112712 121480 122932 123520 134720 140160 140890 145776 148224 153665 161664 162506 169068 182220 184398 185280 186880 194368 202080 211335 215552 221701 225424 242960 243759 245864 247040 269440 280320 281780 291552 296448 307330 323328 325012 338136 364440 368796 370560 388736 404160 406265 422670 443402 450848 460995 485920 487518 491728 494080 538880 560640 563560 583104 586141 614660 646656 650024 665103 676272 728880 737592 741120 777472 808320 812530 845340 886804 901696 921990 971840 975036 983456 1077760 1108505 1127120 1166208 1172282 1218795 1229320 1278577 1300048 1330206 1352544 1457760 1475184 1482240 1554944 1616640 1625060 1690680 1758423 1773608 1803392 1843980 1943680 1950072 1966912 2217010 2254240 2332416 2344564 2437590 2458640 2557154 2600096 2660412 2705088 2915520 2930705 2950368 3233280 3250120 3325515 3381360 3516846 3547216 3606784 3687960 3835731 3887360 3900144 3933824 4434020 4508480 4664832 4689128 4875180 4917280 5114308 5200192 5320824 5410176 5831040 5861410 5900736 5931469 6392885 6500240 6651030 6762720 7033692 7094432 7213568 7375920 7671462 7774720 7800288 7867648 8792115 8868040 9016960 9378256 9750360 9834560 10228616 10400384 10641648 10820352 11662080 11722820 11801472 11862938 12785770 13000480 13302060 13525440 14067384 14188864 14751840 15342924 15600576 15735296 17584230 17736080 17794407 18033920 18756512 19178655 19500720 19669120 20457232 20800768 21283296 21640704 23324160 23445640 23602944 23725876 25571540 26000960 26604120 27050880 28134768 28377728 29503680 29657345 30685848 31201152 35168460 35472160 35588814 36067840 37513024 38357310 39001440 39338240 40914464 41601536 42566592 42788293 46891280 47205888 47451752 51143080 52001920 53208240 54101760 56269536 56755456 59007360 59314690 61371696 62402304 70336920 70944320 71177628 75026048 76714620 78002880 78676480 81828928 85133184 85576586 88972035 93336121 93782560 94903504 102286160 104003840 106416480 108203520 112539072 113510912 118014720 118629380 122743392 124804608 128364879 140673840 141888640 142355256 150052096 153429240 156005760 163657856 170266368 171153172 177944070 186672242 187565120 189807008 204572320 208007680 212832960 213941465 225078144 236029440 237258760 245486784 246765361 256729758 280008363 281347680 283777280 284710512 300104192 306858480 312011520 327315712 340532736 342306344 355888140 373344484 375130240 379614016 409144640 425665920 427882930 450156288 466680605 474517520 490973568 493530722 513459516 560016726 562695360 567554560 569421024 613716960 624023040 641824395 654631424 684612688 711776280 740296083 746688968 750260480 759228032 818289280 851331840 855765860 900312576 933361210 949035040 981947136 987061444 1026919032 1120033452 1125390720 1138842048 1227433920 1233826805 1283648790 1369225376 1400041815 1423552560 1480592166 1493377936 1500520960 1518456064 1636578560 1702663680 1711531720 1866722420 1898070080 1963894272 1974122888 2053838064 2240066904 2250781440 2277684096 2454867840 2467653610 2567297580 2738450752 2800083630 2847105120 2961184332 2986755872 3036912128 3273157120 3423063440 3701480415 3733444840 3796140160 3948245776 4107676128 4480133808 4501562880 4555368192 4909735680 4935307220 5134595160 5476901504 5600167260 5694210240 5922368664 5973511744 6846126880 7402960830 7466889680 7592280320 7896491552 8215352256 8960267616 9110736384 9819471360 9870614440 10269190320 10953803008 11200334520 11388420480 11844737328 11947023488 13692253760 14805921660 14933779360 15184560640 15792983104 16430704512 17920535232 18013871353 19741228880 20538380640 21907606016 22400669040 22776840960 23689474656 23894046976 27384507520 29611843320 29867558720 31585966208 32861409024 35841070464 36027742706 39482457760 41076761280 44801338080 45553681920 47378949312 47788093952 54041614059 54769015040 59223686640 59735117440 63171932416 65722818048 71682140928 72055485412 78964915520 82153522560 89602676160 90069356765 94757898624 108083228118 109538030080 118447373280 119470234880 126343864832 143364281856 144110970824 157929831040 164307045120 179205352320 180138713530 189515797248 216166456236 236894746560 238940469760 270208070295 288221941648 315859662080 328614090240 358410704640 360277427060 379031594496 432332912472 473789493120 540416140590 576443883296 631719324160 716821409280 720554854120 864665824944 947578986240 1080832281180 1152887766592 1441109708240 1729331649888 1895157972480 2161664562360 2305775533184 2882219416480 3458663299776 4323329124720 4611551066368 5764438832960 6917326599552 8646658249440 9223102132736 11528877665920 13834653199104 17293316498880 23057755331840 27669306398208 34586632997760 46115510663680 69173265995520 138346531991040
- Sum of all divisors σ(n): 451877321250432
- Sum of proper divisors (its aliquot sum) s(n): 313530789259392
- 138346531991040 is an abundant number, because the sum of its proper divisors (313530789259392) is greater than itself. Its abundance is 175184257268352
Bases of 138346531991040
- Binary: 111110111010011010011111110010100101110000000002
- Hexadecimal: 0x7DD34FE52E00
- Base-36: 1D1FIP591C
Squares and roots of 138346531991040
- 138346531991040 squared (1383465319910402) is 19139762913947854146640281600
- 138346531991040 cubed (1383465319910403) is 2647919822275407774320529637709514276864000
-
The
square root of 138346531991040 is 11762080.2578047391 -
The
cube root of 138346531991040 is 51719.7113388269
Scales and comparisons
How big is 138346531991040?- 138,346,531,991,040 seconds is equal to 4,398,991 years, 40 weeks, 5 days, 3 hours, 44 minutes.
-
To count from 1 to 138,346,531,991,040 would take you about ten million, nine hundred ninety-seven thousand, four 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 138346531991040 cubic inches would be around 4310 feet tall.
Recreational maths with 138346531991040
- 138346531991040 backwards is 040199135643831
- The number of decimal digits it has is: 15
- The sum of 138346531991040's digits is 57
- More coming soon!
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The information we have on file for 138346531991040 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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