138437916672000
138,437,916,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138437916672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138437916672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138437916672000:
214 × 3 × 53 × 11 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138437916672000 from the Numbermatics database.
Names of 138437916672000
- Cardinal: 138437916672000 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, nine hundred sixteen million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38437916672 × 1014
Factors of 138437916672000
Divisors of 138437916672000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 127 128 132 150 160 165 176 192 200 220 240 250 254 256 264 275 300 320 330 352 375 381 384 400 440 480 500 508 512 528 550 600 635 640 660 704 750 762 768 800 825 880 960 1000 1016 1024 1056 1100 1200 1270 1280 1320 1375 1397 1408 1500 1524 1536 1600 1650 1760 1905 1920 2000 2032 2048 2112 2200 2400 2540 2560 2640 2750 2794 2816 3000 3048 3072 3175 3200 3300 3520 3810 3840 4000 4064 4096 4125 4191 4224 4400 4800 5080 5120 5280 5500 5588 5632 6000 6096 6144 6350 6400 6600 6985 7040 7620 7680 8000 8128 8192 8250 8382 8448 8800 9525 9600 10160 10240 10560 11000 11176 11264 12000 12192 12288 12700 12800 13200 13970 14080 15240 15360 15875 16000 16129 16256 16384 16500 16764 16896 17600 19050 19200 20320 20480 20955 21120 22000 22352 22528 24000 24384 24576 25400 25600 26400 27940 28160 30480 30720 31750 32000 32258 32512 33000 33528 33792 34925 35200 38100 38400 40640 40960 41910 42240 44000 44704 45056 47625 48000 48387 48768 49152 50800 51200 52800 55880 56320 60960 61440 63500 64000 64516 65024 66000 67056 67584 69850 70400 76200 76800 80645 81280 81920 83820 84480 88000 89408 90112 95250 96000 96774 97536 101600 102400 104775 105600 111760 112640 121920 122880 127000 128000 129032 130048 132000 134112 135168 139700 140800 152400 153600 161290 162560 167640 168960 174625 176000 177419 178816 180224 190500 192000 193548 195072 203200 204800 209550 211200 223520 225280 241935 243840 245760 254000 256000 258064 260096 264000 268224 270336 279400 281600 304800 307200 322580 325120 335280 337920 349250 352000 354838 357632 381000 384000 387096 390144 403225 406400 409600 419100 422400 447040 450560 483870 487680 508000 512000 516128 520192 523875 528000 532257 536448 540672 558800 563200 609600 614400 645160 650240 670560 675840 698500 704000 709676 715264 762000 768000 774192 780288 806450 812800 838200 844800 887095 894080 901120 967740 975360 1016000 1024000 1032256 1040384 1047750 1056000 1064514 1072896 1117600 1126400 1209675 1219200 1228800 1290320 1300480 1341120 1351680 1397000 1408000 1419352 1430528 1524000 1536000 1548384 1560576 1612900 1625600 1676400 1689600 1774190 1788160 1935480 1950720 2016125 2032000 2048000 2048383 2064512 2080768 2095500 2112000 2129028 2145792 2235200 2252800 2419350 2438400 2580640 2600960 2661285 2682240 2703360 2794000 2816000 2838704 2861056 3048000 3072000 3096768 3121152 3225800 3251200 3352800 3379200 3548380 3576320 3870960 3901440 4032250 4064000 4096766 4129024 4191000 4224000 4258056 4291584 4435475 4470400 4505600 4838700 4876800 5161280 5201920 5322570 5364480 5588000 5632000 5677408 5722112 6048375 6096000 6144000 6145149 6193536 6242304 6451600 6502400 6705600 6758400 7096760 7152640 7741920 7802880 8064500 8128000 8193532 8258048 8382000 8448000 8516112 8583168 8870950 8940800 9677400 9753600 10241915 10322560 10403840 10645140 10728960 11176000 11264000 11354816 11444224 12096750 12192000 12290298 12387072 12903200 13004800 13306425 13411200 13516800 14193520 14305280 15483840 15605760 16129000 16256000 16387064 16516096 16764000 16896000 17032224 17166336 17741900 17881600 19354800 19507200 20483830 20645120 21290280 21457920 22177375 22352000 22528000 22532213 22709632 22888448 24193500 24384000 24580596 24774144 25806400 26009600 26612850 26822400 28387040 28610560 30725745 30967680 31211520 32258000 32512000 32774128 33032192 33528000 33792000 34064448 34332672 35483800 35763200 38709600 39014400 40967660 41290240 42580560 42915840 44354750 44704000 45064426 45419264 48387000 48768000 49161192 49548288 51209575 51612800 52019200 53225700 53644800 56774080 57221120 61451490 61935360 64516000 65024000 65548256 66064384 66532125 67056000 67584000 67596639 68128896 68665344 70967600 71526400 77419200 78028800 81935320 82580480 85161120 85831680 88709500 89408000 90128852 90838528 96774000 97536000 98322384 99096576 102419150 103225600 106451400 107289600 112661065 113548160 114442240 122902980 123870720 129032000 130048000 131096512 132128768 133064250 134112000 135193278 136257792 141935200 143052800 153628725 154838400 156057600 163870640 165160960 170322240 171663360 177419000 178816000 180257704 181677056 193548000 195072000 196644768 198193152 204838300 206451200 212902800 214579200 225322130 227096320 245805960 247741440 256047875 258064000 260096000 262193024 264257536 266128500 268224000 270386556 272515584 283870400 286105600 307257450 309676800 327741280 330321920 337983195 340644480 343326720 354838000 357632000 360515408 363354112 387096000 390144000 393289536 396386304 409676600 412902400 425805600 429158400 450644260 454192640 491611920 495482880 512095750 516128000 524386048 532257000 536448000 540773112 545031168 563305325 567740800 572211200 614514900 619353600 655482560 660643840 675966390 681288960 709676000 715264000 721030816 726708224 768143625 774192000 780288000 786579072 792772608 819353200 825804800 851611200 858316800 901288520 908385280 983223840 990965760 1024191500 1032256000 1048772096 1064514000 1072896000 1081546224 1090062336 1126610650 1135481600 1229029800 1238707200 1310965120 1321287680 1351932780 1362577920 1419352000 1430528000 1442061632 1453416448 1536287250 1548384000 1573158144 1638706400 1651609600 1689915975 1703222400 1716633600 1802577040 1816770560 1966447680 1981931520 2048383000 2064512000 2097544192 2129028000 2145792000 2163092448 2180124672 2253221300 2270963200 2458059600 2477414400 2621930240 2703865560 2725155840 2816526625 2838704000 2861056000 2884123264 2906832896 3072574500 3096768000 3146316288 3277412800 3303219200 3379831950 3406444800 3605154080 3633541120 3932895360 3963863040 4096766000 4129024000 4195088384 4258056000 4291584000 4326184896 4360249344 4506442600 4541926400 4916119200 4954828800 5243860480 5407731120 5450311680 5633053250 5677408000 5768246528 6145149000 6193536000 6292632576 6554825600 6606438400 6759663900 6812889600 7210308160 7267082240 7865790720 8193532000 8258048000 8390176768 8449579875 8516112000 8583168000 8652369792 8720498688 9012885200 9083852800 9832238400 9909657600 10487720960 10815462240 10900623360 11266106500 11354816000 11536493056 12290298000 12387072000 12585265152 13109651200 13519327800 13625779200 14420616320 14534164480 15731581440 16387064000 16516096000 16780353536 16899159750 17032224000 17304739584 18025770400 18167705600 19664476800 19819315200 20975441920 21630924480 21801246720 22532213000 22709632000 23072986112 24580596000 24774144000 25170530304 26219302400 27038655600 27251558400 28841232640 31463162880 32774128000 33032192000 33560707072 33798319500 34064448000 34609479168 36051540800 36335411200 39328953600 41950883840 43261848960 43602493440 45064426000 45419264000 46145972224 49161192000 49548288000 50341060608 52438604800 54077311200 54503116800 57682465280 62926325760 65548256000 67596639000 68128896000 69218958336 72103081600 72670822400 78657907200 83901767680 86523697920 90128852000 90838528000 92291944448 98322384000 99096576000 100682121216 104877209600 108154622400 109006233600 115364930560 125852651520 131096512000 135193278000 136257792000 138437916672 144206163200 157315814400 167803535360 173047395840 180257704000 181677056000 184583888896 196644768000 209754419200 216309244800 218012467200 230729861120 251705303040 262193024000 270386556000 272515584000 276875833344 288412326400 314631628800 346094791680 360515408000 363354112000 369167777792 393289536000 419508838400 432618489600 461459722240 503410606080 524386048000 540773112000 545031168000 553751666688 576824652800 629263257600 692189583360 721030816000 786579072000 839017676800 865236979200 922919444480 1048772096000 1081546224000 1090062336000 1107503333376 1153649305600 1258526515200 1384379166720 1442061632000 1573158144000 1730473958400 1845838888960 2097544192000 2163092448000 2307298611200 2517053030400 2768758333440 2884123264000 3146316288000 3460947916800 4195088384000 4326184896000 4614597222400 5537516666880 5768246528000 6292632576000 6921895833600 8652369792000 9229194444800 11536493056000 12585265152000 13843791667200 17304739584000 23072986112000 27687583334400 34609479168000 46145972224000 69218958336000 138437916672000
- Sum of all divisors σ(n): 506578616893440
- Sum of proper divisors (its aliquot sum) s(n): 368140700221440
- 138437916672000 is an abundant number, because the sum of its proper divisors (368140700221440) is greater than itself. Its abundance is 229702783549440
Bases of 138437916672000
- Binary: 111110111101000100101101101100011000000000000002
- Hexadecimal: 0x7DE896D8C000
- Base-36: 1D2LI1845C
Squares and roots of 138437916672000
- 138437916672000 squared (1384379166720002) is 19165056772483615555584000000
- 138437916672000 cubed (1384379166720003) is 2653170532483236032769220776296448000000000
-
The
square root of 138437916672000 is 11765964.3324293653 -
The
cube root of 138437916672000 is 51731.0966357405
Scales and comparisons
How big is 138437916672000?- 138,437,916,672,000 seconds is equal to 4,401,897 years, 27 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 138,437,916,672,000 would take you about eleven million, four thousand, seven hundred forty-three 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 138437916672000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437916672000
- 138437916672000 backwards is 000276619734831
- The number of decimal digits it has is: 15
- The sum of 138437916672000's digits is 57
- More coming soon!
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The information we have on file for 138437916672000 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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