138745909972800
138,745,909,972,800 is an even composite number composed of seven prime numbers multiplied together.
138745909972800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138745909972800:
26 × 34 × 52 × 13 × 292 × 181 × 541
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 29 × 29 × 181 × 541)See below for interesting mathematical facts about the number 138745909972800 from the Numbermatics database.
Names of 138745909972800
- Cardinal: 138745909972800 can be written as One hundred thirty-eight trillion, seven hundred forty-five billion, nine hundred nine million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387459099728 × 1014
Factors of 138745909972800
Divisors of 138745909972800
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 130 135 144 145 150 156 160 162 174 180 181 192 195 200 208 216 225 232 234 240 260 261 270 288 290 300 312 320 324 325 348 351 360 362 377 390 400 405 416 432 435 450 464 468 480 520 522 540 541 543 576 580 585 600 624 648 650 675 696 702 720 724 725 754 780 783 800 810 832 841 864 870 900 905 928 936 960 975 1040 1044 1053 1080 1082 1086 1131 1160 1170 1200 1248 1296 1300 1305 1350 1392 1404 1440 1448 1450 1508 1560 1566 1600 1620 1623 1629 1682 1728 1740 1755 1800 1810 1856 1872 1885 1950 2025 2080 2088 2106 2160 2164 2172 2175 2262 2320 2340 2349 2353 2400 2496 2523 2592 2600 2610 2700 2705 2715 2784 2808 2880 2896 2900 2925 3016 3120 3132 3240 3246 3258 3364 3393 3480 3510 3600 3620 3744 3770 3900 3915 4050 4160 4176 4205 4212 4320 4328 4344 4350 4524 4525 4640 4680 4698 4706 4800 4869 4887 5046 5184 5200 5220 5249 5265 5400 5410 5430 5568 5616 5655 5792 5800 5850 6032 6240 6264 6480 6492 6516 6525 6728 6786 6960 7020 7033 7059 7200 7240 7488 7540 7569 7800 7830 8100 8115 8145 8352 8410 8424 8640 8656 8688 8700 8775 9048 9050 9280 9360 9396 9412 9425 9738 9774 10092 10179 10400 10440 10498 10530 10800 10820 10860 10933 11232 11310 11584 11600 11700 11745 11765 12064 12480 12528 12615 12960 12984 13032 13050 13456 13525 13572 13575 13920 14040 14066 14118 14400 14480 14607 14661 15080 15138 15600 15660 15689 15747 16200 16230 16290 16704 16820 16848 16965 17312 17376 17400 17550 18096 18100 18720 18792 18824 18850 19476 19548 19575 20184 20358 20800 20880 20996 21025 21060 21099 21177 21600 21640 21720 21866 22464 22620 22707 23200 23400 23490 23530 24128 24345 24435 25056 25230 25920 25968 26064 26100 26245 26325 26912 27050 27144 27150 27840 28080 28132 28236 28275 28960 29214 29322 30160 30276 30537 31200 31320 31378 31494 32400 32460 32580 32799 33640 33696 33930 34624 34752 34800 35100 35165 35295 36192 36200 37440 37584 37648 37700 37845 38952 39096 39150 40368 40575 40716 40725 41760 41992 42050 42120 42198 42354 43200 43280 43440 43732 43821 45240 45414 46400 46800 46980 47060 47067 47241 48690 48870 50112 50460 50895 51936 52128 52200 52490 52650 53824 54100 54288 54300 54665 56160 56264 56472 56550 57920 58428 58644 58725 58825 60320 60552 61074 62400 62640 62756 62988 63075 63297 63531 64800 64920 65160 65598 67280 67392 67860 68121 68237 69600 70200 70330 70590 72384 72400 73035 73305 75168 75296 75400 75690 77904 78192 78300 78445 78735 80736 81150 81432 81450 83520 83984 84100 84240 84396 84708 84825 86560 86880 87464 87642 90480 90828 93600 93960 94120 94134 94482 97380 97740 97921 98397 100920 101790 103872 104256 104400 104980 105300 105495 105885 108200 108576 108600 109330 112320 112528 112944 113100 113535 116856 117288 117450 117650 120640 121104 121725 122148 122175 125280 125512 125976 126150 126594 127062 129600 129840 130320 131196 131225 134560 135720 136242 136474 139200 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154162122192 159478057440 160585543950 164977300800 166761911025 171291246880 173432387466 177197841600 177879371760 184013143200 191373668928 191637997200 192702652740 197643746400 199347571800 205549496256 213455246112 214114058600 222349214700 231243183288 237172495680 239217086160 240878315925 255517329600 256461940800 256936870320 265796762400 266819057640 289053979110 296465619600 299021357700 308324244384 318956114880 321171087900 333523822050 342582493760 346864774932 355758743520 368026286400 383275994400 385405305480 395287492800 398695143600 426910492224 428228117200 433580968665 444698429400 462486366576 478434172320 481756631850 513873740640 531593524800 533638115280 578107958220 592931239200 598042715400 616648488768 642342175800 667047644100 693729549864 711517487040 722634947775 766551988800 770810610960 797390287200 856456234400 867161937330 889396858800 924972733152 956868344640 963513263700 1027747481280 1067276230560 1156215916440 1185862478400 1196085430800 1284684351600 1334095288200 1387459099728 1445269895550 1541621221920 1594780574400 1712912468800 1734323874660 1778793717600 1849945466304 1927026527400 2134552461120 2167904843325 2312431832880 2392170861600 2569368703200 2668190576400 2774918199456 2890539791100 3083242443840 3468647749320 3557587435200 3854053054800 4335809686650 4624863665760 4784341723200 5138737406400 5336381152800 5549836398912 5781079582200 6937295498640 7708106109600 8671619373300 9249727331520 10672762305600 11562159164400 13874590997280 15416212219200 17343238746600 23124318328800 27749181994560 34686477493200 46248636657600 69372954986400 138745909972800
- Sum of all divisors σ(n): 573017189616872
- Sum of proper divisors (its aliquot sum) s(n): 434271279644072
- 138745909972800 is an abundant number, because the sum of its proper divisors (434271279644072) is greater than itself. Its abundance is 295525369671272
Bases of 138745909972800
- Binary: 111111000110000010011001010110110001111010000002
- Hexadecimal: 0x7E304CAD8F40
- Base-36: 1D6IZOHG00
Squares and roots of 138745909972800
- 138745909972800 squared (1387459099728002) is 19250427534180322496739840000
- 138745909972800 cubed (1387459099728003) is 2670918085595293319973936362143076352000000
-
The
square root of 138745909972800 is 11779045.3761245015 -
The
cube root of 138745909972800 is 51769.4315816229
Scales and comparisons
How big is 138745909972800?- 138,745,909,972,800 seconds is equal to 4,411,690 years, 39 weeks, 6 days, 12 hours.
-
To count from 1 to 138,745,909,972,800 would take you about eleven million, twenty-nine thousand, two hundred twenty-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 138745909972800 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138745909972800
- 138745909972800 backwards is 008279909547831
- 138745909972800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138745909972800's digits is 72
- More coming soon!
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The information we have on file for 138745909972800 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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