138088462417920
138,088,462,417,920 is an even composite number composed of five prime numbers multiplied together.
138088462417920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred eight divisors.
Prime factorization of 138088462417920:
222 × 35 × 5 × 73 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 79)See below for interesting mathematical facts about the number 138088462417920 from the Numbermatics database.
Names of 138088462417920
- Cardinal: 138088462417920 can be written as One hundred thirty-eight trillion, eighty-eight billion, four hundred sixty-two million, four hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3808846241792 × 1014
Factors of 138088462417920
Divisors of 138088462417920
- Number of divisors d(n): 2208
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 79 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 158 160 162 168 180 189 192 196 210 216 224 237 240 243 245 252 256 270 280 288 294 315 316 320 324 336 343 360 378 384 392 395 405 420 432 441 448 474 480 486 490 504 512 540 553 560 567 576 588 630 632 640 648 672 686 711 720 735 756 768 784 790 810 840 864 882 896 945 948 960 972 980 1008 1024 1029 1080 1106 1120 1134 1152 1176 1185 1215 1260 1264 1280 1296 1323 1344 1372 1422 1440 1470 1512 1536 1568 1580 1620 1659 1680 1701 1715 1728 1764 1792 1890 1896 1920 1944 1960 2016 2048 2058 2133 2160 2205 2212 2240 2268 2304 2352 2370 2430 2520 2528 2560 2592 2646 2688 2744 2765 2835 2844 2880 2940 3024 3072 3087 3136 3160 3240 3318 3360 3402 3430 3456 3528 3555 3584 3780 3792 3840 3871 3888 3920 3969 4032 4096 4116 4266 4320 4410 4424 4480 4536 4608 4704 4740 4860 4977 5040 5056 5120 5145 5184 5292 5376 5488 5530 5670 5688 5760 5880 6048 6144 6174 6272 6320 6399 6480 6615 6636 6720 6804 6860 6912 7056 7110 7168 7560 7584 7680 7742 7776 7840 7938 8064 8192 8232 8295 8505 8532 8640 8820 8848 8960 9072 9216 9261 9408 9480 9720 9954 10080 10112 10240 10290 10368 10584 10665 10752 10976 11060 11340 11376 11520 11613 11760 11907 12096 12288 12348 12544 12640 12798 12960 13230 13272 13440 13608 13720 13824 14112 14220 14336 14931 15120 15168 15360 15435 15484 15552 15680 15876 16128 16384 16464 16590 17010 17064 17280 17640 17696 17920 18144 18432 18522 18816 18960 19197 19355 19440 19845 19908 20160 20224 20480 20580 20736 21168 21330 21504 21952 22120 22680 22752 23040 23226 23520 23814 24192 24576 24696 24885 25088 25280 25596 25920 26460 26544 26880 27097 27216 27440 27648 27783 28224 28440 28672 29862 30240 30336 30720 30870 30968 31104 31360 31752 31995 32256 32768 32928 33180 34020 34128 34560 34839 35280 35392 35840 36288 36864 37044 37632 37920 38394 38710 38880 39690 39816 40320 40448 40960 41160 41472 42336 42660 43008 43904 44240 44793 45360 45504 46080 46305 46452 47040 47628 48384 49152 49392 49770 50176 50560 51192 51840 52920 53088 53760 54194 54432 54880 55296 55566 56448 56880 57344 58065 59535 59724 60480 60672 61440 61740 61936 62208 62720 63504 63990 64512 65536 65856 66360 68040 68256 69120 69678 70560 70784 71680 72576 73728 74088 74655 75264 75840 76788 77420 77760 79380 79632 80640 80896 81291 81920 82320 82944 83349 84672 85320 86016 87808 88480 89586 90720 91008 92160 92610 92904 94080 95256 95985 96768 98304 98784 99540 100352 101120 102384 103680 104517 105840 106176 107520 108388 108864 109760 110592 111132 112896 113760 114688 116130 119070 119448 120960 121344 122880 123480 123872 124416 125440 127008 127980 129024 131072 131712 132720 134379 135485 136080 136512 138240 138915 139356 141120 141568 143360 145152 147456 148176 149310 150528 151680 153576 154840 155520 158760 159264 161280 161792 162582 163840 164640 165888 166698 169344 170640 172032 174195 175616 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8990134272 9103933440 9132834816 9248440320 9632286720 9710862336 9785180160 9989038080 10064756736 10147594240 10274439168 10404495360 10437525504 10654973952 10789847040 10924720128 11008327680 11183063040 11237667840 11416043520 11597250560 11742216192 11890851840 11986845696 12138577920 12177113088 12485394432 12580945920 12843048960 12947816448 13046906880 13318717440 13419675648 13485201408 13655900160 13699252224 13872660480 14206631936 14566293504 14677770240 14910750720 14983557120 15221391360 15411658752 15606743040 15656288256 15982460928 16184770560 16236150784 16647192576 16774594560 16856501760 17124065280 17395875840 17613324288 17758289920 17836277760 17980268544 18207866880 18265669632 19264573440 19421724672 19570360320 19978076160 20129513472 20295188480 20548878336 20808990720 20875051008 21309947904 21579694080 21849440256 22016655360 22366126080 22475335680 22832087040 23484432384 23973691392 24277155840 24354226176 24970788864 25161891840 25686097920 26093813760 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563626377216 568265277440 575368593408 582651740160 616466350080 639298437120 657564106752 704532971520 719210741760 730626785280 767158124544 821955133440 852397916160 863052890112 873977610240 939377295360 958947655680 986346160128 1022877499392 1078816112640 1095940177920 1150737186816 1232932700160 1278596874240 1315128213504 1409065943040 1438421483520 1534316249088 1643910266880 1704795832320 1726105780224 1747955220480 1917895311360 1972692320256 2157632225280 2191880355840 2301474373632 2465865400320 2557193748480 2818131886080 2876842967040 3068632498176 3287820533760 3452211560448 3835790622720 3945384640512 4315264450560 4602948747264 4931730800640 5114387496960 5753685934080 6575641067520 6904423120896 7671581245440 8630528901120 9205897494528 9863461601280 11507371868160 13808846241792 15343162490880 17261057802240 19726923202560 23014743736320 27617692483584 34522115604480 46029487472640 69044231208960 138088462417920
- Sum of all divisors σ(n): 586262966016000
- Sum of proper divisors (its aliquot sum) s(n): 448174503598080
- 138088462417920 is an abundant number, because the sum of its proper divisors (448174503598080) is greater than itself. Its abundance is 310086041180160
Bases of 138088462417920
- Binary: 111110110010111001110011100000000000000000000002
- Hexadecimal: 0x7D9739C00000
- Base-36: 1CY4YP6O00
Squares and roots of 138088462417920
- 138088462417920 squared (1380884624179202) is 19068423452945304252737126400
- 138088462417920 cubed (1380884624179203) is 2633129275351021963837430628179496665088000
-
The
square root of 138088462417920 is 11751104.7318079845 -
The
cube root of 138088462417920 is 51687.5322603887
Scales and comparisons
How big is 138088462417920?- 138,088,462,417,920 seconds is equal to 4,390,785 years, 50 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,088,462,417,920 would take you about ten million, nine hundred seventy-six thousand, nine hundred sixty-four 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 138088462417920 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138088462417920
- 138088462417920 backwards is 029714264880831
- 138088462417920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138088462417920's digits is 63
- More coming soon!
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The information we have on file for 138088462417920 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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