138807552312000
138,807,552,312,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138807552312000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3584 divisors.
138807552312000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 138807552312000:
26 × 33 × 53 × 11 × 13 × 17 × 19 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 17 × 19 × 13913)See below for interesting mathematical facts about the number 138807552312000 from the Numbermatics database.
Names of 138807552312000
- Cardinal: 138807552312000 can be written as One hundred thirty-eight trillion, eight hundred seven billion, five hundred fifty-two million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38807552312 × 1014
Factors of 138807552312000
Divisors of 138807552312000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 17 18 19 20 22 24 25 26 27 30 32 33 34 36 38 39 40 44 45 48 50 51 52 54 55 57 60 64 65 66 68 72 75 76 78 80 85 88 90 95 96 99 100 102 104 108 110 114 117 120 125 130 132 135 136 143 144 150 152 153 156 160 165 170 171 176 180 187 190 192 195 198 200 204 208 209 216 220 221 225 228 234 240 247 250 255 260 264 270 272 275 285 286 288 297 300 304 306 312 320 323 325 330 340 342 351 352 360 374 375 380 390 396 400 408 416 418 425 429 432 440 442 450 456 459 468 475 480 494 495 500 510 513 520 528 540 544 550 561 570 572 576 585 594 600 608 612 624 627 646 650 660 663 675 680 684 702 704 715 720 741 748 750 760 765 780 792 800 816 825 832 836 850 855 858 864 880 884 900 912 918 935 936 950 960 969 975 988 990 1000 1020 1026 1040 1045 1056 1080 1088 1100 1105 1122 1125 1140 1144 1170 1188 1200 1216 1224 1235 1248 1254 1275 1287 1292 1300 1320 1326 1350 1360 1368 1375 1404 1425 1430 1440 1482 1485 1496 1500 1520 1530 1560 1584 1600 1615 1625 1632 1650 1672 1683 1700 1710 1716 1728 1755 1760 1768 1800 1824 1836 1870 1872 1881 1900 1938 1950 1976 1980 1989 2000 2040 2052 2080 2090 2112 2125 2145 2160 2200 2210 2223 2244 2250 2280 2288 2295 2340 2375 2376 2400 2431 2448 2470 2475 2496 2508 2550 2565 2574 2584 2600 2640 2652 2700 2717 2720 2736 2750 2805 2808 2850 2860 2880 2907 2925 2964 2970 2992 3000 3040 3060 3120 3135 3168 3230 3250 3264 3300 3315 3344 3366 3375 3400 3420 3432 3510 3520 3536 3553 3575 3600 3648 3672 3705 3740 3744 3762 3800 3825 3861 3876 3900 3952 3960 3978 4000 4080 4104 4125 4160 4180 4199 4250 4275 4290 4320 4400 4420 4446 4488 4500 4560 4576 4590 4675 4680 4750 4752 4800 4845 4862 4875 4896 4940 4950 5016 5049 5100 5130 5148 5168 5200 5225 5280 5304 5400 5434 5440 5472 5500 5525 5610 5616 5643 5700 5720 5814 5850 5928 5940 5967 5984 6000 6080 6120 6175 6240 6270 6336 6375 6435 6460 6500 6600 6630 6669 6688 6732 6750 6800 6840 6864 7020 7072 7106 7125 7150 7200 7293 7344 7410 7425 7480 7488 7524 7600 7650 7722 7752 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61692245472 61857198000 62441544000 62808847200 63094341960 64262755700 64712145600 65321201088 65723272875 66415096800 66734400150 67645006000 68042917800 69403776156 69787608000 70104824400 70246737000 71183360160 71624124000 73056606480 73794552000 74149333500 74228637600 75603242000 76100631750 77115306840 78511059000 78867927450 79092622400 80328444625 80890182000 81174007200 81651501360 82476264000 83018871000 84125789280 85053647250 85420032192 85948948800 86754720195 87631030500 88979200200 90723890400 91320758100 92538368208 92785797000 93473099200 93662316000 96394133550 97068218400 97408808640 98865778000 100950947136 101467509000 102064376700 102820409120 104681412000 105157236600 106775040240 107436186000 107853576000 108868668480 110691828000 111224000250 112394779200 113404863000 114150947625 115672960260 116841374000 118638933600 121335273000 121761010800 123384490944 123714396000 125617694400 126188683920 127580470875 128525511400 131446545750 132830193600 133468800300 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340214589000 347018880780 350524122000 355916800800 365283032400 370153472832 371143188000 385576534200 394339637250 395463112000 405870036000 408257506800 420628946400 427100160960 429744744000 433773600975 444896001000 453619452000 456603790500 462691841040 467365496000 481970667750 485341092000 487044043200 504754735680 510321883500 514102045600 525786183000 533875201200 544343342400 555230209248 561973896000 578364801300 593194668000 608805054000 616922454720 628088472000 630943419600 642627557000 664150968000 667344001500 680429178000 694037761560 701048244000 711833601600 722956001625 730566064800 742286376000 771153068400 788679274500 811740072000 816515013600 841257892800 867547201950 889792002000 907238904000 913207581000 925383682080 963941335500 970682184000 1020643767000 1028204091200 1051572366000 1067750402400 1110460418496 1156729602600 1186389336000 1217610108000 1261886839200 1285255114000 1334688003000 1360858356000 1388075523120 1402096488000 1445912003250 1461132129600 1542306136800 1577358549000 1633030027200 1735094403900 1779584004000 1826415162000 1850767364160 1927882671000 2041287534000 2103144732000 2135500804800 2168868004875 2313459205200 2435220216000 2523773678400 2570510228000 2669376006000 2721716712000 2776151046240 2891824006500 3084612273600 3154717098000 3470188807800 3559168008000 3652830324000 3855765342000 4082575068000 4206289464000 4337736009750 4626918410400 5141020456000 5338752012000 5552302092480 5783648013000 6309434196000 6940377615600 7305660648000 7711530684000 8165150136000 8675472019500 9253836820800 10677504024000 11567296026000 12618868392000 13880755231200 15423061368000 17350944039000 23134592052000 27761510462400 34701888078000 46269184104000 69403776156000 138807552312000
- Sum of all divisors σ(n): 666886755225600
- Sum of proper divisors (its aliquot sum) s(n): 528079202913600
- 138807552312000 is an abundant number, because the sum of its proper divisors (528079202913600) is greater than itself. Its abundance is 389271650601600
Bases of 138807552312000
- Binary: 111111000111110101001101101100100000010110000002
- Hexadecimal: 0x7E3EA6D902C0
- Base-36: 1D7BB4QPC0
Squares and roots of 138807552312000
- 138807552312000 squared (1388075523120002) is 19267536578848616545344000000
- 138807552312000 cubed (1388075523120003) is 2674479591591902853846666000035328000000000
-
The
square root of 138807552312000 is 11781661.6957031999 -
The
cube root of 138807552312000 is 51777.0971922893
Scales and comparisons
How big is 138807552312000?- 138,807,552,312,000 seconds is equal to 4,413,650 years, 41 weeks, 5 days, 12 hours.
-
To count from 1 to 138,807,552,312,000 would take you about eleven million, thirty-four thousand, one hundred twenty-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 138807552312000 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138807552312000
- 138807552312000 backwards is 000213255708831
- 138807552312000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138807552312000's digits is 45
- More coming soon!
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MLA style:
"Number 138807552312000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138807552312000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138807552312000/
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Numbermatics. 2024. "Number 138807552312000 - Facts about the integer". https://numbermatics.com/n/138807552312000/
The information we have on file for 138807552312000 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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