138673835328000
138,673,835,328,000 is an even composite number composed of six prime numbers multiplied together.
138673835328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138673835328000:
29 × 3 × 53 × 73 × 193 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 19 × 307)See below for interesting mathematical facts about the number 138673835328000 from the Numbermatics database.
Names of 138673835328000
- Cardinal: 138673835328000 can be written as One hundred thirty-eight trillion, six hundred seventy-three billion, eight hundred thirty-five million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38673835328 × 1014
Factors of 138673835328000
Divisors of 138673835328000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 125 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 250 256 266 280 285 294 300 304 307 320 336 343 350 361 375 380 384 392 399 400 420 448 456 475 480 490 500 512 525 532 560 570 588 600 608 614 640 665 672 686 700 722 735 750 760 768 784 798 800 840 875 896 912 921 931 950 960 980 1000 1029 1050 1064 1083 1120 1140 1176 1200 1216 1225 1228 1280 1330 1344 1372 1400 1425 1444 1470 1500 1520 1535 1536 1568 1596 1600 1680 1715 1750 1792 1805 1824 1842 1862 1900 1920 1960 1995 2000 2058 2100 2128 2149 2166 2240 2280 2352 2375 2400 2432 2450 2456 2527 2560 2625 2660 2688 2744 2793 2800 2850 2888 2940 3000 3040 3070 3136 3192 3200 3325 3360 3430 3500 3584 3610 3648 3675 3684 3724 3800 3840 3920 3990 4000 4116 4200 4256 4298 4332 4480 4560 4605 4655 4704 4750 4800 4864 4900 4912 5054 5145 5250 5320 5376 5415 5488 5586 5600 5700 5776 5833 5880 6000 6080 6125 6140 6272 6384 6400 6447 6517 6650 6720 6859 6860 7000 7125 7220 7296 7350 7368 7448 7581 7600 7675 7680 7840 7980 8000 8232 8400 8512 8575 8596 8664 8960 9025 9120 9210 9310 9408 9500 9600 9728 9800 9824 9975 10108 10290 10500 10640 10745 10752 10830 10976 11172 11200 11400 11552 11666 11760 12000 12160 12250 12280 12544 12635 12768 12800 12894 13034 13300 13440 13718 13720 13965 14000 14250 14440 14592 14700 14736 14896 15043 15162 15200 15350 15680 15960 16000 16464 16625 16800 17024 17150 17192 17328 17499 17689 17920 18050 18240 18375 18420 18620 18816 19000 19200 19551 19600 19648 19950 20216 20577 20580 21000 21280 21490 21660 21952 22344 22400 22800 23025 23104 23275 23332 23520 24000 24320 24500 24560 25088 25270 25536 25725 25788 26068 26600 26880 27075 27436 27440 27930 28000 28500 28880 29165 29184 29400 29472 29792 30086 30324 30400 30700 31360 31920 32000 32235 32585 32928 33250 33600 34048 34295 34300 34384 34656 34998 35378 36100 36480 36750 36840 37240 37632 37905 38000 38375 38400 39102 39200 39296 39900 40432 40831 41154 41160 42000 42560 42875 42980 43320 43904 44688 44800 45125 45129 45600 46050 46208 46550 46664 47040 48000 48013 48640 49000 49120 49875 50540 51072 51450 51576 52136 53067 53200 53725 53760 54150 54872 54880 55860 56000 57000 57760 58330 58800 58944 59584 60172 60648 60800 61400 62720 63175 63840 64000 64470 65170 65856 66500 67200 68096 68590 68600 68768 69312 69825 69996 70756 72200 72960 73500 73680 74480 75215 75264 75810 76000 76750 78204 78400 78592 79800 80864 81662 82308 82320 84000 85120 85750 85960 86640 87495 87808 88445 89376 89600 90250 90258 91200 92100 92416 93100 93328 94080 96000 96026 97755 98000 98240 99750 101080 102144 102885 102900 103152 104272 105301 106134 106400 107450 108300 109744 109760 110827 111720 112000 114000 115125 115520 116375 116660 117600 117888 119168 120344 121296 121600 122493 122800 123823 125440 126350 127680 128625 128940 130340 131712 133000 134400 135375 137180 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88439946000 90282444875 90341260800 91232786400 92449223552 94335942400 96034512000 97314972160 99052739520 101074224000 103179937000 104266041600 108338933850 112926576000 113203130880 114040983000 115561529440 117919928000 121643715200 123815924400 128046016000 130332552000 132070319360 134765632000 138673835328 141503913600 144451911800 145972458240 148951488000 150568768000 152054644000 154769905500 158484383232 165087899200 173342294160 173776736000 176879892000 180564889750 182465572800 184898447104 188671884800 192069024000 198105479040 202148448000 206359874000 208532083200 216677867700 225853152000 228081966000 231123058880 235839856000 243287430400 247631848800 260665104000 264140638720 270847334625 277347670656 283007827200 288903823600 291944916480 304109288000 309539811000 330175798400 346684588320 347553472000 353759784000 361129779500 364931145600 369796894208 384138048000 396210958080 404296896000 412719748000 433355735400 451706304000 456163932000 462246117760 471679712000 486574860800 495263697600 521330208000 541694669250 554695341312 566015654400 577807647200 608218576000 619079622000 660351596800 693369176640 707519568000 722259559000 729862291200 792421916160 825439496000 866711470800 912327864000 924492235520 943359424000 990527395200 1042660416000 1083389338500 1109390682624 1155615294400 1216437152000 1238159244000 1320703193600 1386738353280 1415039136000 1444519118000 1459724582400 1650878992000 1733422941600 1824655728000 1848984471040 1981054790400 2166778677000 2311230588800 2432874304000 2476318488000 2773476706560 2830078272000 2889038236000 3301757984000 3466845883200 3649311456000 3962109580800 4333557354000 4622461177600 4952636976000 5546953413120 5778076472000 6603515968000 6933691766400 7298622912000 8667114708000 9244922355200 9905273952000 11556152944000 13867383532800 17334229416000 19810547904000 23112305888000 27734767065600 34668458832000 46224611776000 69336917664000 138673835328000
- Sum of all divisors σ(n): 569389556736000
- Sum of proper divisors (its aliquot sum) s(n): 430715721408000
- 138673835328000 is an abundant number, because the sum of its proper divisors (430715721408000) is greater than itself. Its abundance is 292041886080000
Bases of 138673835328000
- Binary: 111111000011111100001001011000111000010000000002
- Hexadecimal: 0x7E1F84B1C200
- Base-36: 1D5LVP3O5C
Squares and roots of 138673835328000
- 138673835328000 squared (1386738353280002) is 19230432604577260867584000000
- 138673835328000 cubed (1386738353280003) is 2666757844293349212604642029207552000000000
-
The
square root of 138673835328000 is 11775985.5353172033 -
The
cube root of 138673835328000 is 51760.4657685625
Scales and comparisons
How big is 138673835328000?- 138,673,835,328,000 seconds is equal to 4,409,399 years, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,673,835,328,000 would take you about eleven million, twenty-three thousand, four hundred ninety-seven 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 138673835328000 cubic inches would be around 4313.4 feet tall.
Recreational maths with 138673835328000
- 138673835328000 backwards is 000823538376831
- 138673835328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138673835328000's digits is 57
- More coming soon!
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The information we have on file for 138673835328000 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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