138310989196800
138,310,989,196,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138310989196800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
138310989196800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138310989196800:
29 × 3 × 52 × 7 × 19 × 31 × 532 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 31 × 53 × 53 × 311)See below for interesting mathematical facts about the number 138310989196800 from the Numbermatics database.
Names of 138310989196800
- Cardinal: 138310989196800 can be written as One hundred thirty-eight trillion, three hundred ten billion, nine hundred eighty-nine million, one hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383109891968 × 1014
Factors of 138310989196800
Divisors of 138310989196800
- Number of divisors d(n): 2880
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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 31 32 35 38 40 42 48 50 53 56 57 60 62 64 70 75 76 80 84 93 95 96 100 105 106 112 114 120 124 128 133 140 150 152 155 159 160 168 175 186 190 192 200 210 212 217 224 228 240 248 256 265 266 280 285 300 304 310 311 318 320 336 350 371 372 380 384 399 400 420 424 434 448 456 465 475 480 496 512 525 530 532 560 570 589 600 608 620 622 636 640 651 665 672 700 742 744 760 768 775 795 798 800 840 848 868 896 912 930 933 950 960 992 1007 1050 1060 1064 1085 1113 1120 1140 1178 1200 1216 1240 1244 1272 1280 1302 1325 1330 1344 1400 1425 1484 1488 1520 1536 1550 1555 1590 1596 1600 1643 1680 1696 1736 1767 1792 1824 1855 1860 1866 1900 1920 1984 1995 2014 2100 2120 2128 2170 2177 2226 2240 2280 2325 2356 2400 2432 2480 2488 2544 2560 2604 2650 2660 2688 2800 2809 2850 2945 2968 2976 3021 3040 3100 3110 3180 3192 3200 3255 3286 3325 3360 3392 3472 3534 3584 3648 3710 3720 3732 3800 3840 3968 3975 3990 4028 4123 4200 4240 4256 4340 4354 4452 4480 4560 4650 4665 4712 4800 4864 4929 4960 4976 5035 5088 5208 5300 5320 5376 5425 5565 5600 5618 5700 5890 5909 5936 5952 6042 6080 6200 6220 6360 6384 6400 6510 6531 6572 6650 6720 6784 6944 7049 7068 7296 7420 7440 7464 7600 7680 7775 7936 7950 7980 8056 8215 8246 8400 8427 8480 8512 8680 8708 8835 8904 8960 9120 9275 9300 9330 9424 9600 9641 9728 9858 9920 9952 9975 10070 10176 10416 10600 10640 10752 10850 10885 11130 11200 11236 11400 11501 11780 11818 11872 11904 12084 12160 12369 12400 12440 12720 12768 12800 13020 13062 13144 13300 13440 13568 13888 14045 14098 14136 14592 14725 14840 14880 14928 15105 15200 15550 15872 15900 15960 16112 16275 16430 16483 16492 16800 16854 16960 17024 17360 17416 17670 17727 17808 17920 18240 18550 18600 18660 18848 19200 19282 19663 19716 19840 19904 19950 20140 20352 20615 20832 21147 21200 21280 21700 21770 22260 22400 22472 22800 23002 23325 23560 23636 23744 23808 24168 24320 24645 24738 24800 24880 25175 25440 25536 26040 26124 26288 26600 26880 27136 27776 27825 28090 28196 28272 28923 29184 29450 29545 29680 29760 29856 30210 30400 31100 31217 31800 31920 32224 32550 32655 32860 32966 32984 33600 33708 33920 34048 34503 34720 34832 35245 35340 35454 35616 36480 37100 37200 37320 37696 38400 38564 39326 39432 39680 39808 39900 40280 40704 41075 41230 41363 41664 42135 42294 42400 42560 43400 43540 44175 44520 44800 44944 45600 46004 46650 47120 47272 47488 47616 48205 48336 48640 49290 49449 49476 49600 49760 50350 50880 51072 52080 52248 52576 53200 53371 53760 54425 55552 55650 56180 56392 56544 57505 57846 58900 58989 59090 59360 59520 59712 60420 60800 61845 62200 62434 63600 63840 64448 65100 65310 65720 65932 65968 67200 67416 67487 67840 68096 69006 69440 69664 70225 70490 70680 70908 71232 72960 74200 74400 74640 75392 75525 77128 78652 78864 79360 79616 79800 80560 81408 82150 82415 82460 82726 83328 84270 84588 84800 85120 86800 87079 87080 88350 88635 89040 89600 89888 91200 92008 93300 93651 94240 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154364943300 159344457600 163102581600 164655939520 172888736496 173322041600 173976087040 178465792512 180092433850 181988143680 185901867200 186402950400 197587127424 205819924400 207986449920 212459276800 216110920620 217470108800 222364934400 223082240640 227485179600 230518315328 234823411200 242650858240 246983909280 259983062400 260964130560 263449503232 270138650775 278852800800 288147894160 291181029888 297442987520 303313572800 308729886600 318688915200 326205163200 329311879040 345777472992 346644083200 360184867700 363976287360 371803734400 372805900800 395174254848 411639848800 432221841240 434940217600 444729868800 446164481280 454970359200 461036630656 485301716480 493967818560 519966124800 521928261120 540277301550 557705601600 576295788320 606627145600 617459773200 637377830400 652410326400 658623758080 691554945984 720369735400 727952574720 743607468800 790348509696 823279697600 864443682480 869880435200 892328962560 909940718400 922073261312 987935637120 1039932249600 1080554603100 1115411203200 1152591576640 1213254291200 1234919546400 1304820652800 1317247516160 1383109891968 1440739470800 1455905149440 1487214937600 1646559395200 1728887364960 1819881436800 1844146522624 1975871274240 2161109206200 2230822406400 2305183153280 2426508582400 2469839092800 2609641305600 2766219783936 2881478941600 3293118790400 3457774729920 3639762873600 3951742548480 4322218412400 4461644812800 4610366306560 4939678185600 5532439567872 5762957883200 6586237580800 6915549459840 7279525747200 8644436824800 9220732613120 9879356371200 11525915766400 13831098919680 17288873649600 19758712742400 23051831532800 27662197839360 34577747299200 46103663065600 69155494598400 138310989196800
- Sum of all divisors σ(n): 580153907773440
- Sum of proper divisors (its aliquot sum) s(n): 441842918576640
- 138310989196800 is an abundant number, because the sum of its proper divisors (441842918576640) is greater than itself. Its abundance is 303531929379840
Bases of 138310989196800
- Binary: 111110111001011000010010110000100101110000000002
- Hexadecimal: 0x7DCB09612E00
- Base-36: 1D0Z6VVTHC
Squares and roots of 138310989196800
- 138310989196800 squared (1383109891968002) is 19129929732597326309130240000
- 138310989196800 cubed (1383109891968003) is 2645879504580811911946677041844191232000000
-
The
square root of 138310989196800 is 11760569.2547937491 -
The
cube root of 138310989196800 is 51715.2818325289
Scales and comparisons
How big is 138310989196800?- 138,310,989,196,800 seconds is equal to 4,397,861 years, 32 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 138,310,989,196,800 would take you about ten million, nine hundred ninety-four thousand, six hundred fifty-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 138310989196800 cubic inches would be around 4309.6 feet tall.
Recreational maths with 138310989196800
- 138310989196800 backwards is 008691989013831
- The number of decimal digits it has is: 15
- The sum of 138310989196800's digits is 66
- More coming soon!
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MLA style:
"Number 138310989196800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138310989196800 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138310989196800/
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The information we have on file for 138310989196800 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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