138435236544000
138,435,236,544,000 is an even composite number composed of eight prime numbers multiplied together.
138435236544000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138435236544000:
29 × 3 × 53 × 112 × 23 × 41 × 71 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 23 × 41 × 71 × 89)See below for interesting mathematical facts about the number 138435236544000 from the Numbermatics database.
Names of 138435236544000
- Cardinal: 138435236544000 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, two hundred thirty-six million, five hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38435236544 × 1014
Factors of 138435236544000
Divisors of 138435236544000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 41 44 46 48 50 55 60 64 66 69 71 75 80 82 88 89 92 96 100 110 115 120 121 123 125 128 132 138 142 150 160 164 165 176 178 184 192 200 205 213 220 230 240 242 246 250 253 256 264 267 275 276 284 300 320 328 330 345 352 355 356 363 368 375 384 400 410 426 440 445 451 460 480 484 492 500 506 512 528 534 550 552 568 575 600 605 615 640 656 660 690 704 710 712 726 736 750 759 768 781 800 820 825 852 880 890 902 920 943 960 968 979 984 1000 1012 1025 1056 1065 1068 1100 1104 1136 1150 1200 1210 1230 1265 1280 1312 1320 1335 1353 1375 1380 1408 1420 1424 1452 1472 1500 1518 1536 1562 1600 1633 1640 1650 1704 1725 1760 1775 1780 1804 1815 1840 1886 1920 1936 1958 1968 2000 2024 2047 2050 2112 2130 2136 2200 2208 2225 2255 2272 2300 2343 2400 2420 2460 2530 2560 2624 2640 2670 2706 2750 2760 2783 2816 2829 2840 2848 2875 2904 2911 2937 2944 3000 3025 3036 3075 3124 3200 3266 3280 3300 3408 3450 3520 3550 3560 3608 3630 3649 3680 3772 3795 3840 3872 3905 3916 3936 4000 4048 4094 4100 4125 4224 4260 4272 4400 4416 4450 4510 4544 4600 4686 4715 4800 4840 4895 4899 4920 4961 5060 5125 5248 5280 5325 5340 5412 5500 5520 5566 5632 5658 5680 5696 5750 5808 5822 5874 5888 6000 6050 6072 6141 6150 6248 6319 6325 6400 6532 6560 6600 6675 6765 6816 6900 7040 7100 7120 7216 7260 7298 7360 7544 7590 7680 7744 7810 7832 7872 8000 8096 8165 8188 8200 8250 8349 8448 8520 8544 8591 8625 8733 8800 8832 8875 8900 9020 9075 9088 9200 9372 9430 9600 9680 9790 9798 9840 9922 10120 10235 10250 10373 10496 10560 10650 10680 10769 10824 10947 11000 11040 11125 11132 11275 11316 11360 11392 11500 11616 11644 11715 11748 11776 12000 12100 12144 12282 12300 12496 12638 12650 12800 13064 13120 13200 13350 13530 13632 13800 13915 14080 14145 14200 14240 14432 14520 14555 14596 14685 14720 14883 15088 15125 15180 15375 15488 15620 15664 15744 16000 16192 16330 16376 16400 16500 16698 16896 17040 17088 17182 17250 17466 17600 17664 17750 17800 17963 18040 18150 18176 18245 18400 18744 18860 18957 18975 19200 19360 19525 19580 19596 19680 19844 20240 20470 20500 20746 20992 21120 21300 21360 21538 21648 21894 22000 22080 22250 22264 22517 22550 22632 22720 22784 23000 23232 23288 23430 23496 23575 24000 24200 24288 24475 24495 24564 24600 24805 24992 25276 25300 25773 26128 26240 26400 26625 26700 27060 27264 27600 27830 28160 28290 28400 28480 28864 29040 29110 29192 29370 29440 29766 30176 30250 30360 30705 30750 30976 31119 31240 31328 31488 31595 31625 32000 32021 32307 32384 32660 32752 32800 33000 33375 33396 33825 34080 34176 34364 34500 34932 35200 35328 35500 35600 35926 36080 36300 36352 36490 36800 37488 37720 37914 37950 38400 38720 39050 39160 39192 39360 39688 40139 40480 40825 40940 41000 41492 41745 42240 42600 42720 42955 43076 43296 43665 43788 44000 44160 44500 44528 45034 45100 45264 45375 45440 45568 46000 46464 46576 46860 46992 47150 48000 48400 48576 48950 48990 49128 49200 49610 49984 50552 50600 51175 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547174848000 553740946176 562744864000 572046432000 576813485600 601892332800 629251075200 649930688000 675293836800 692176182720 721016857000 752365416000 777726048000 786563844000 839001433600 844117296000 865220228400 922901576960 974896032000 1003153888000 1048751792000 1081525285500 1107481892352 1125489728000 1144092864000 1153626971200 1203784665600 1258502150400 1384352365440 1442033714000 1504730832000 1555452096000 1573127688000 1688234592000 1730440456800 1845803153920 1949792064000 2006307776000 2097503584000 2163050571000 2307253942400 2517004300800 2768704730880 2884067428000 3009461664000 3146255376000 3376469184000 3460880913600 4195007168000 4326101142000 4614507884800 5537409461760 5768134856000 6018923328000 6292510752000 6921761827200 8652202284000 9229015769600 11536269712000 12585021504000 13843523654400 17304404568000 23072539424000 27687047308800 34608809136000 46145078848000 69217618272000 138435236544000
- Sum of all divisors σ(n): 554558545981440
- Sum of proper divisors (its aliquot sum) s(n): 416123309437440
- 138435236544000 is an abundant number, because the sum of its proper divisors (416123309437440) is greater than itself. Its abundance is 277688072893440
Bases of 138435236544000
- Binary: 111110111100111111101110001100100111110000000002
- Hexadecimal: 0x7DE7F7193E00
- Base-36: 1D2K9PJO5C
Squares and roots of 138435236544000
- 138435236544000 squared (1384352365440002) is 19164314716993233063936000000
- 138435236544000 cubed (1384352365440003) is 2653016441050618635653302035677184000000000
-
The
square root of 138435236544000 is 11765850.4386210859 -
The
cube root of 138435236544000 is 51730.7627993209
Scales and comparisons
How big is 138435236544000?- 138,435,236,544,000 seconds is equal to 4,401,812 years, 16 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 138,435,236,544,000 would take you about eleven million, four thousand, five hundred thirty 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 138435236544000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435236544000
- 138435236544000 backwards is 000445632534831
- 138435236544000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138435236544000's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 138435236544000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 138435236544000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138435236544000/
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Numbermatics. 2024. "Number 138435236544000 - Facts about the integer". https://numbermatics.com/n/138435236544000/
The information we have on file for 138435236544000 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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