138090432480000
138,090,432,480,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138090432480000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 5760 divisors.
138090432480000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 138090432480000:
28 × 3 × 54 × 7 × 11 × 13 × 31 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 13 × 31 × 73 × 127)See below for interesting mathematical facts about the number 138090432480000 from the Numbermatics database.
Names of 138090432480000
- Cardinal: 138090432480000 can be written as One hundred thirty-eight trillion, ninety billion, four hundred thirty-two million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3809043248 × 1014
Factors of 138090432480000
Divisors of 138090432480000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 42 44 48 50 52 55 56 60 62 64 65 66 70 73 75 77 78 80 84 88 91 93 96 100 104 105 110 112 120 124 125 127 128 130 132 140 143 146 150 154 155 156 160 165 168 175 176 182 186 192 195 200 208 210 217 219 220 224 231 240 248 250 254 256 260 264 273 275 280 286 292 300 308 310 312 320 325 330 336 341 350 352 364 365 372 375 381 384 385 390 400 403 416 420 429 434 438 440 448 455 462 465 480 496 500 508 511 520 525 528 546 550 560 572 584 600 616 620 624 625 635 640 650 651 660 672 682 700 704 715 728 730 744 750 762 768 770 775 780 800 803 806 825 832 840 858 868 875 876 880 889 896 910 924 930 949 960 975 992 1000 1001 1016 1022 1023 1040 1050 1056 1085 1092 1095 1100 1120 1144 1155 1168 1200 1209 1232 1240 1248 1250 1270 1280 1300 1302 1320 1344 1364 1365 1375 1397 1400 1408 1430 1456 1460 1488 1500 1524 1533 1540 1550 1560 1600 1606 1612 1625 1650 1651 1664 1680 1705 1716 1736 1750 1752 1760 1778 1792 1820 1825 1848 1860 1875 1898 1905 1920 1925 1950 1984 2000 2002 2015 2032 2044 2046 2080 2100 2112 2145 2170 2184 2190 2200 2240 2263 2275 2288 2310 2325 2336 2387 2400 2409 2418 2464 2480 2496 2500 2540 2555 2600 2604 2625 2640 2667 2688 2728 2730 2750 2794 2800 2816 2821 2847 2860 2912 2920 2976 3000 3003 3048 3066 3080 3100 3120 3175 3200 3212 3224 3250 3255 3300 3302 3328 3360 3410 3432 3472 3500 3504 3520 3556 3575 3640 3650 3696 3720 3750 3796 3810 3840 3850 3875 3900 3937 3968 4000 4004 4015 4030 4064 4088 4092 4125 4160 4191 4200 4224 4290 4340 4368 4375 4380 4400 4433 4445 4480 4526 4550 4576 4620 4650 4672 4745 4774 4800 4818 4836 4875 4928 4953 4960 4992 5000 5005 5080 5110 5115 5200 5208 5250 5280 5334 5376 5425 5456 5460 5475 5500 5588 5600 5621 5642 5694 5720 5775 5824 5840 5952 6000 6006 6045 6096 6132 6160 6200 6240 6350 6400 6424 6448 6500 6510 6600 6604 6643 6720 6789 6820 6825 6864 6875 6944 6985 7000 7008 7040 7112 7150 7161 7280 7300 7392 7440 7500 7592 7620 7665 7700 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3945440928000 4184558560000 4315326015000 4454530080000 4603014416000 4931801160000 5311170480000 5523617299200 5753768020000 6276837840000 6575734880000 6904521624000 8630652030000 9206028832000 9863602320000 10622340960000 11507536040000 12553675680000 13809043248000 17261304060000 19727204640000 23015072080000 27618086496000 34522608120000 46030144160000 69045216240000 138090432480000
- Sum of all divisors σ(n): 650313637822464
- Sum of proper divisors (its aliquot sum) s(n): 512223205342464
- 138090432480000 is an abundant number, because the sum of its proper divisors (512223205342464) is greater than itself. Its abundance is 374132772862464
Bases of 138090432480000
- Binary: 111110110010111101011110010110011000011000000002
- Hexadecimal: 0x7D97AF2CC300
- Base-36: 1CY5VA3XMO
Squares and roots of 138090432480000
- 138090432480000 squared (1380904324800002) is 19068967542513438950400000000
- 138090432480000 cubed (1380904324800003) is 2633241974892763570872813268992000000000000
-
The
square root of 138090432480000 is 11751188.5560567873 -
The
cube root of 138090432480000 is 51687.7780621531
Scales and comparisons
How big is 138090432480000?- 138,090,432,480,000 seconds is equal to 4,390,848 years, 31 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,090,432,480,000 would take you about ten million, nine hundred seventy-seven thousand, one hundred twenty-one 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 138090432480000 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138090432480000
- 138090432480000 backwards is 000084234090831
- 138090432480000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138090432480000's digits is 42
- More coming soon!
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Cite this page
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"Number 138090432480000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138090432480000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138090432480000/
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The information we have on file for 138090432480000 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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