138413005286400
138,413,005,286,400 is an even composite number composed of six prime numbers multiplied together.
138413005286400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred sixty-four divisors.
Prime factorization of 138413005286400:
210 × 35 × 52 × 132 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 31 × 31 × 137)See below for interesting mathematical facts about the number 138413005286400 from the Numbermatics database.
Names of 138413005286400
- Cardinal: 138413005286400 can be written as One hundred thirty-eight trillion, four hundred thirteen billion, five million, two hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.384130052864 × 1014
Factors of 138413005286400
Divisors of 138413005286400
- Number of divisors d(n): 3564
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 64 65 72 75 78 80 81 90 93 96 100 104 108 117 120 124 128 130 135 137 144 150 155 156 160 162 169 180 186 192 195 200 208 216 225 234 240 243 248 256 260 270 274 279 288 300 310 312 320 324 325 338 351 360 372 384 390 400 403 405 411 416 432 450 465 468 480 486 496 507 512 520 540 548 558 576 585 600 620 624 640 648 650 675 676 685 702 720 744 768 775 780 800 806 810 822 832 837 845 864 900 930 936 960 961 972 975 992 1014 1024 1040 1053 1080 1096 1116 1152 1170 1200 1209 1215 1233 1240 1248 1280 1296 1300 1350 1352 1370 1395 1404 1440 1488 1521 1536 1550 1560 1600 1612 1620 1644 1664 1674 1690 1728 1755 1781 1800 1860 1872 1920 1922 1944 1950 1984 2015 2025 2028 2055 2080 2106 2160 2192 2232 2304 2325 2340 2400 2418 2430 2466 2480 2496 2511 2535 2560 2592 2600 2700 2704 2740 2790 2808 2880 2883 2925 2976 3042 3072 3100 3120 3159 3200 3224 3240 3288 3328 3348 3380 3425 3456 3510 3562 3600 3627 3699 3720 3744 3840 3844 3888 3900 3968 4030 4050 4056 4110 4160 4185 4212 4225 4247 4320 4384 4464 4563 4608 4650 4680 4800 4805 4836 4860 4932 4960 4992 5022 5070 5120 5184 5200 5239 5265 5343 5400 5408 5480 5580 5616 5760 5766 5850 5952 6045 6075 6084 6165 6200 6240 6318 6400 6448 6480 6576 6656 6696 6760 6850 6912 6975 7020 7124 7200 7254 7398 7440 7488 7533 7605 7680 7688 7776 7800 7936 8060 8100 8112 8220 8320 8370 8424 8450 8494 8640 8649 8768 8775 8905 8928 9126 9216 9300 9360 9600 9610 9672 9720 9864 9920 9984 10044 10075 10140 10275 10368 10400 10478 10530 10686 10800 10816 10881 10960 11097 11160 11232 11520 11532 11700 11904 12090 12150 12168 12330 12400 12480 12493 12555 12636 12675 12741 12800 12896 12960 13152 13312 13392 13520 13689 13700 13824 13950 14040 14248 14400 14415 14508 14796 14880 14976 15066 15210 15360 15376 15552 15600 15717 15795 15872 16029 16120 16200 16224 16440 16640 16740 16848 16900 16988 17280 17298 17536 17550 17810 17856 18135 18252 18495 18600 18720 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204752966400 205056304128 212943085056 213600316800 216270320760 221815713600 223246782720 230688342144 236603427840 240300356400 248051980800 252578476800 256320380160 266178856320 270337900950 273003955200 279058478400 284800422400 288360427680 295754284800 297662376960 307584456192 320400475200 332723570400 336771302400 341760506880 343456588800 346032513216 354905141760 360450534600 372077971200 384480570240 394339046400 409505932800 425886170112 427200633600 432540641520 443631427200 446493565440 461376684288 480600712800 496103961600 505156953600 512640760320 532357712640 540675801900 558116956800 569600844800 576720855360 591508569600 615168912384 640800950400 665447140800 692065026432 709810283520 720901069200 744155942400 768961140480 819011865600 854401267200 865081283040 887262854400 892987130880 922753368576 961201425600 1010313907200 1025281520640 1064715425280 1081351603800 1116233913600 1153441710720 1183017139200 1281601900800 1330894281600 1384130052864 1441802138400 1488311884800 1537922280960 1708802534400 1730162566080 1774525708800 1845506737152 1922402851200 2129430850560 2162703207600 2232467827200 2306883421440 2563203801600 2661788563200 2768260105728 2883604276800 3075844561920 3460325132160 3549051417600 3844805702400 4325406415200 4464935654400 4613766842880 5126407603200 5323577126400 5536520211456 5767208553600 6920650264320 7689611404800 8650812830400 9227533685760 10647154252800 11534417107200 13841300528640 15379222809600 17301625660800 23068834214400 27682601057280 34603251321600 46137668428800 69206502643200 138413005286400
- Sum of all divisors σ(n): 579242400629256
- Sum of proper divisors (its aliquot sum) s(n): 440829395342856
- 138413005286400 is an abundant number, because the sum of its proper divisors (440829395342856) is greater than itself. Its abundance is 302416390056456
Bases of 138413005286400
- Binary: 111110111100010110010100000001100101100000000002
- Hexadecimal: 0x7DE2CA032C00
- Base-36: 1D2A21MO00
Squares and roots of 138413005286400
- 138413005286400 squared (1384130052864002) is 19158160032412994346024960000
- 138413005286400 cubed (1384130052864003) is 2651738505844076981764406099306348544000000
-
The
square root of 138413005286400 is 11764905.6641521779 -
The
cube root of 138413005286400 is 51727.9935104477
Scales and comparisons
How big is 138413005286400?- 138,413,005,286,400 seconds is equal to 4,401,105 years, 22 weeks, 2 days.
-
To count from 1 to 138,413,005,286,400 would take you about eleven million, two thousand, seven hundred sixty-three 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 138413005286400 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138413005286400
- 138413005286400 backwards is 004682500314831
- 138413005286400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138413005286400's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138413005286400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 138413005286400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138413005286400/
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Numbermatics. 2024. "Number 138413005286400 - Facts about the integer". https://numbermatics.com/n/138413005286400/
The information we have on file for 138413005286400 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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