138415983706000
138,415,983,706,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138415983706000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138415983706000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138415983706000:
24 × 53 × 74 × 11 × 13 × 19 × 1032
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 13 × 19 × 103 × 103)See below for interesting mathematical facts about the number 138415983706000 from the Numbermatics database.
Names of 138415983706000
- Cardinal: 138415983706000 can be written as One hundred thirty-eight trillion, four hundred fifteen billion, nine hundred eighty-three million, seven hundred six thousand.
Scientific notation
- Scientific notation: 1.38415983706 × 1014
Factors of 138415983706000
Divisors of 138415983706000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 25 26 28 35 38 40 44 49 50 52 55 56 65 70 76 77 80 88 91 95 98 100 103 104 110 112 125 130 133 140 143 152 154 175 176 182 190 196 200 206 208 209 220 245 247 250 260 266 275 280 286 304 308 325 343 350 364 380 385 392 400 412 418 440 455 475 490 494 500 515 520 532 539 550 560 572 616 637 650 665 686 700 715 721 728 760 770 784 824 836 875 880 910 931 950 980 988 1000 1001 1030 1040 1045 1064 1078 1100 1133 1144 1225 1232 1235 1274 1300 1330 1339 1372 1375 1400 1430 1442 1456 1463 1520 1540 1625 1648 1672 1715 1729 1750 1820 1862 1900 1925 1957 1960 1976 2000 2002 2060 2090 2128 2156 2200 2266 2275 2288 2375 2401 2450 2470 2548 2575 2600 2660 2678 2695 2717 2744 2750 2800 2860 2884 2926 3080 3185 3250 3325 3344 3430 3458 3500 3575 3605 3640 3724 3773 3800 3850 3914 3920 3952 4004 4120 4180 4312 4400 4459 4532 4550 4655 4750 4802 4900 4940 5005 5047 5096 5150 5200 5225 5320 5356 5390 5434 5488 5500 5665 5720 5768 5852 6125 6160 6175 6370 6500 6517 6650 6695 6860 6916 7000 7007 7150 7210 7280 7315 7448 7546 7600 7700 7828 7931 8008 8240 8360 8575 8624 8645 8918 9064 9100 9310 9373 9500 9604 9625 9785 9800 9880 10010 10094 10192 10241 10300 10450 10609 10640 10712 10780 10868 11000 11330 11375 11440 11536 11704 12005 12103 12250 12350 12740 12875 13000 13034 13300 13390 13475 13585 13699 13720 13832 14000 14014 14300 14420 14630 14729 14896 15092 15400 15656 15862 15925 16016 16625 16720 17150 17290 17836 17875 18025 18128 18200 18620 18746 18865 19000 19019 19208 19250 19570 19600 19760 20020 20188 20482 20600 20900 21218 21424 21527 21560 21736 22000 22295 22660 22750 23275 23408 24010 24206 24500 24700 25025 25235 25441 25480 25750 26000 26068 26125 26411 26600 26780 26950 27170 27398 27440 27664 28028 28325 28600 28840 29260 29458 30184 30800 30875 31213 31312 31724 31850 32585 33250 33475 34300 34580 35035 35329 35672 35750 36050 36400 36575 37240 37492 37730 38000 38038 38416 38500 39140 39655 40040 40376 40964 41200 41800 42436 42875 43054 43120 43225 43472 44590 45320 45500 45619 46550 46865 48020 48412 48925 49000 49049 49400 50050 50470 50882 50960 51205 51500 52136 52250 52822 53045 53200 53560 53900 54340 54796 55517 56056 56650 57200 57680 58520 58916 60025 60368 60515 61750 62426 63448 63700 65170 65611 66500 66950 67375 67925 68495 68600 69160 70070 70658 71344 71500 71687 72100 73150 73645 74263 74480 74984 75460 76076 77000 78280 79310 79625 80080 80752 81928 83600 84721 84872 85750 86108 86450 89180 90125 90640 91000 91238 93100 93730 94325 95095 95893 96040 96824 97850 98000 98098 98800 100100 100940 101764 102410 103000 103103 104272 104500 105644 106090 107120 107635 107800 108680 109592 111034 111475 112112 113300 116375 116699 117040 117832 120050 121030 123500 124852 125125 126175 126896 127205 127400 130340 131222 132055 133000 133133 133900 134750 135850 136990 137200 137917 138320 140140 141316 141625 143000 143374 144200 146300 147290 148526 149968 150689 150920 152152 154000 156065 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125832712460 128400727000 130090210250 132455486800 133092292025 134384450200 138277706000 138415983706 140097149500 141240799700 145701035480 148674526000 152105476600 157290890575 158189695664 165569358500 167980562750 176550999625 179761017800 182126294350 190131845750 191977786000 193588788400 197737119580 201772571000 208144336400 212947667240 217293538000 224701272250 241985985500 247171399475 251665424920 256801454000 260180420500 266184584050 268768900400 276831967412 280194299000 282481599400 291402070960 304210953200 314581781150 331138717000 335961125500 346039959265 353101999250 359522035600 364252588700 380263691500 395474239160 403545142000 425895334480 449402544500 455315735875 483971971000 494342798950 503330849840 520360841000 532369168100 553663934824 560388598000 564963198800 629163562300 662277434000 665461460125 671922251000 692079918530 706203998500 728505177400 760527383000 786454452875 790948478320 898805089000 910631471750 967943942000 988685597900 1040721682000 1064738336200 1107327869648 1235856997375 1258327124600 1330922920250 1343844502000 1384159837060 1412407997000 1457010354800 1521054766000 1572908905750 1730199796325 1797610178000 1821262943500 1977371195800 2129476672400 2471713994750 2516654249200 2661845840500 2768319674120 2824815994000 3145817811500 3460399592650 3642525887000 3954742391600 4943427989500 5323691681000 5536639348240 6291635623000 6920799185300 7285051774000 8650998981625 9886855979000 10647383362000 12583271246000 13841598370600 17301997963250 19773711958000 27683196741200 34603995926500 69207991853000 138415983706000
- Sum of all divisors σ(n): 487584378852480
- Sum of proper divisors (its aliquot sum) s(n): 349168395146480
- 138415983706000 is an abundant number, because the sum of its proper divisors (349168395146480) is greater than itself. Its abundance is 210752411440480
Bases of 138415983706000
- Binary: 111110111100011011110111000101000111111100100002
- Hexadecimal: 0x7DE37B8A3F90
- Base-36: 1D2BFAWJ9S
Squares and roots of 138415983706000
- 138415983706000 squared (1384159837060002) is 19158984545299657494436000000
- 138415983706000 cubed (1384159837060003) is 2651909692645703210637234161659816000000000
-
The
square root of 138415983706000 is 11765032.2441547095 -
The
cube root of 138415983706000 is 51728.3645414895
Scales and comparisons
How big is 138415983706000?- 138,415,983,706,000 seconds is equal to 4,401,200 years, 6 weeks, 6 days, 10 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,415,983,706,000 would take you about eleven million, three thousand 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 138415983706000 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138415983706000
- 138415983706000 backwards is 000607389514831
- 138415983706000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138415983706000's digits is 55
- More coming soon!
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The information we have on file for 138415983706000 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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