138774236328000
138,774,236,328,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138774236328000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4032 divisors.
138774236328000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 138774236328000:
26 × 32 × 53 × 72 × 13 × 73 × 181 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 73 × 181 × 229)See below for interesting mathematical facts about the number 138774236328000 from the Numbermatics database.
Names of 138774236328000
- Cardinal: 138774236328000 can be written as One hundred thirty-eight trillion, seven hundred seventy-four billion, two hundred thirty-six million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38774236328 × 1014
Factors of 138774236328000
Divisors of 138774236328000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 73 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 130 140 144 146 147 150 156 160 168 175 180 181 182 192 195 196 200 208 210 219 224 225 229 234 240 245 250 252 260 273 280 288 292 294 300 312 315 320 325 336 350 360 362 364 365 375 390 392 400 416 420 438 441 448 450 455 458 468 480 490 500 504 511 520 525 543 546 560 576 584 585 588 600 624 630 637 650 657 672 687 700 720 724 728 730 735 750 780 784 800 819 832 840 875 876 882 900 905 910 916 936 949 960 975 980 1000 1008 1022 1040 1050 1086 1092 1095 1120 1125 1145 1168 1170 1176 1200 1225 1248 1260 1267 1274 1300 1314 1344 1365 1374 1400 1440 1448 1456 1460 1470 1500 1533 1560 1568 1575 1600 1603 1625 1629 1638 1680 1750 1752 1764 1800 1810 1820 1825 1832 1872 1898 1911 1950 1960 2000 2016 2044 2061 2080 2100 2172 2184 2190 2205 2240 2250 2275 2290 2336 2340 2352 2353 2400 2450 2496 2520 2534 2548 2555 2600 2625 2628 2715 2730 2748 2800 2847 2880 2896 2912 2920 2925 2940 2977 3000 3066 3120 3136 3150 3185 3206 3250 3258 3276 3285 3360 3435 3500 3504 3528 3577 3600 3620 3640 3650 3664 3675 3744 3796 3801 3822 3900 3920 4000 4032 4088 4095 4122 4160 4200 4344 4368 4380 4410 4500 4525 4550 4580 4599 4672 4680 4704 4706 4745 4800 4809 4875 4900 5040 5068 5096 5110 5200 5250 5256 5430 5460 5475 5496 5600 5694 5725 5733 5792 5824 5840 5850 5880 5954 6000 6125 6132 6240 6300 6335 6370 6412 6500 6516 6552 6570 6643 6720 6825 6870 7000 7008 7056 7059 7154 7200 7240 7280 7300 7328 7350 7488 7592 7602 7644 7665 7800 7840 7875 8000 8015 8145 8176 8190 8244 8400 8541 8688 8736 8760 8820 8869 8931 9000 9050 9100 9125 9160 9198 9360 9408 9412 9490 9555 9618 9750 9800 10080 10136 10192 10220 10305 10400 10500 10512 10731 10860 10920 10950 10992 11025 11200 11221 11375 11388 11403 11450 11466 11584 11680 11700 11760 11765 11908 12000 12250 12264 12480 12600 12670 12740 12775 12824 13000 13032 13104 13140 13213 13286 13575 13650 13740 14000 14016 14112 14118 14235 14308 14400 14427 14480 14560 14600 14625 14656 14700 14885 15184 15204 15288 15330 15600 15680 15750 15925 16030 16290 16352 16380 16425 16471 16488 16717 16800 17082 17175 17376 17472 17520 17640 17738 17862 17885 18000 18100 18200 18250 18320 18375 18396 18720 18824 18980 19005 19110 19236 19500 19600 19929 20160 20272 20384 20440 20475 20610 20800 20839 21000 21024 21177 21462 21720 21840 21900 21984 22050 22442 22625 22750 22776 22806 22900 22932 22995 23360 23400 23520 23530 23725 23816 24000 24045 24500 24528 25200 25340 25480 25550 25648 26000 26064 26208 26280 26426 26572 26607 26793 27150 27300 27375 27480 28000 28224 28236 28470 28616 28625 28665 28854 28960 29120 29200 29250 29400 29770 30368 30408 30576 30660 31200 31500 31675 31850 32060 32193 32580 32704 32760 32850 32942 32976 33215 33434 33600 33663 34125 34164 34350 34752 35040 35280 35295 35476 35724 35770 36000 36200 36400 36500 36640 36750 36792 37440 37648 37960 38010 38220 38325 38472 39000 39200 39639 39858 40075 40544 40725 40768 40880 40950 41220 41449 41678 42000 42048 42354 42705 42924 43440 43680 43800 43968 44100 44345 44655 44884 45250 45500 45552 45612 45800 45864 45990 46501 46800 47040 47060 47450 47632 47775 48090 49000 49056 49413 50151 50400 50680 50960 51100 51296 51525 52000 52128 52416 52560 52852 53144 53214 53586 53655 54300 54600 54750 54960 55125 56000 56105 56472 56940 57015 57232 57250 57330 57708 57920 58400 58500 58800 58825 59540 59787 60736 60816 61152 61320 62400 62517 63000 63350 63700 63875 64120 64386 65160 65520 65700 65884 65952 66065 66430 66868 67326 67875 68250 68328 68700 70080 70560 70590 70952 71175 71448 71540 72000 72135 72400 72800 73000 73280 73500 73584 74425 75296 75920 76020 76440 76650 76944 78000 78400 79278 79625 79716 79821 80150 81088 81450 81760 81900 82125 82355 82440 82898 83356 83585 84000 84708 85410 85848 85875 86880 87360 87600 88200 88690 89310 89425 89768 90500 91000 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1850323151040 1901016936000 1927419949000 1982489090400 2134988251200 2168347442625 2202765656000 2312903938800 2478111363000 2668735314000 2775484726560 2832127272000 2891129923500 3083871918400 3304148484000 3469355908200 3558313752000 3854839898000 3964978180800 4336694885250 4625807877600 4956222726000 5337470628000 5550969453120 5782259847000 6608296968000 6938711816400 7709679796000 8673389770500 9251615755200 9912445452000 10674941256000 11564519694000 13877423632800 15419359592000 17346779541000 19824890904000 23129039388000 27754847265600 34693559082000 46258078776000 69387118164000 138774236328000
- Sum of all divisors σ(n): 636656982736320
- Sum of proper divisors (its aliquot sum) s(n): 497882746408320
- 138774236328000 is an abundant number, because the sum of its proper divisors (497882746408320) is greater than itself. Its abundance is 359108510080320
Bases of 138774236328000
- Binary: 111111000110110111001010000111101110000010000002
- Hexadecimal: 0x7E36E50F7040
- Base-36: 1D6W059JK0
Squares and roots of 138774236328000
- 138774236328000 squared (1387742363280002) is 19258288668419594923584000000
- 138774236328000 cubed (1387742363280003) is 2672554302944105296191475116759552000000000
-
The
square root of 138774236328000 is 11780247.7192969077 -
The
cube root of 138774236328000 is 51772.9544230603
Scales and comparisons
How big is 138774236328000?- 138,774,236,328,000 seconds is equal to 4,412,591 years, 23 weeks, 5 days, 20 hours.
-
To count from 1 to 138,774,236,328,000 would take you about eleven million, thirty-one thousand, four hundred seventy-eight 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 138774236328000 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138774236328000
- 138774236328000 backwards is 000823632477831
- The number of decimal digits it has is: 15
- The sum of 138774236328000's digits is 54
- More coming soon!
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"Number 138774236328000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138774236328000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138774236328000/
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The information we have on file for 138774236328000 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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