138909194956800
138,909,194,956,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138909194956800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2808 divisors.
138909194956800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 138909194956800:
212 × 35 × 52 × 312 × 37 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 37 × 157)See below for interesting mathematical facts about the number 138909194956800 from the Numbermatics database.
Names of 138909194956800
- Cardinal: 138909194956800 can be written as One hundred thirty-eight trillion, nine hundred nine billion, one hundred ninety-four million, nine hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389091949568 × 1014
Factors of 138909194956800
Divisors of 138909194956800
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 37 40 45 48 50 54 60 62 64 72 74 75 80 81 90 93 96 100 108 111 120 124 128 135 144 148 150 155 157 160 162 180 185 186 192 200 216 222 225 240 243 248 256 270 279 288 296 300 310 314 320 324 333 360 370 372 384 400 405 432 444 450 465 471 480 486 496 512 540 555 558 576 592 600 620 628 640 648 666 675 720 740 744 768 775 785 800 810 837 864 888 900 925 930 942 960 961 972 992 999 1024 1080 1110 1116 1147 1152 1184 1200 1215 1240 1256 1280 1296 1332 1350 1395 1413 1440 1480 1488 1536 1550 1570 1600 1620 1665 1674 1728 1776 1800 1850 1860 1884 1920 1922 1944 1984 1998 2025 2048 2160 2220 2232 2294 2304 2325 2355 2368 2400 2430 2480 2511 2512 2560 2592 2664 2700 2775 2790 2826 2880 2883 2960 2976 2997 3072 3100 3140 3200 3240 3330 3348 3441 3456 3552 3600 3700 3720 3768 3840 3844 3888 3925 3968 3996 4050 4096 4185 4239 4320 4440 4464 4588 4608 4650 4710 4736 4800 4805 4860 4867 4960 4995 5022 5024 5120 5184 5328 5400 5550 5580 5652 5735 5760 5766 5809 5920 5952 5994 6075 6144 6200 6280 6400 6480 6660 6696 6882 6912 6975 7065 7104 7200 7400 7440 7533 7536 7680 7688 7776 7850 7936 7992 8100 8325 8370 8478 8640 8649 8880 8928 8991 9176 9216 9300 9420 9472 9600 9610 9720 9734 9920 9990 10044 10048 10240 10323 10368 10656 10800 11100 11160 11304 11470 11520 11532 11618 11775 11840 11904 11988 12150 12288 12400 12555 12560 12717 12800 12960 13320 13392 13764 13824 13950 14130 14208 14400 14415 14601 14800 14880 14985 15066 15072 15360 15376 15552 15700 15872 15984 16200 16650 16740 16956 17205 17280 17298 17427 17760 17856 17982 18352 18432 18600 18840 18944 19200 19220 19440 19468 19840 19980 20088 20096 20480 20646 20736 20925 21195 21312 21600 22200 22320 22608 22940 23040 23064 23236 23550 23680 23808 23976 24025 24300 24335 24800 24975 25110 25120 25434 25600 25920 25947 26640 26784 27528 27648 27900 28260 28416 28675 28800 28830 29045 29202 29600 29760 29970 30132 30144 30720 30752 30969 31104 31400 31744 31968 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71455347200 72273254400 72348539040 73730995200 74682362880 75086051328 77171774976 78214636800 80387265600 82980403200 83428945920 85746416640 86818246848 88477194240 89618835456 90435673800 93352953600 93857564160 96464718720 98307993600 99576483840 102895699968 104286182400 107183020800 108522808560 110596492800 112023544320 114328555520 115757662464 117321955200 120580898400 121106534400 124470604800 125143418880 128619624960 135653510700 139048243200 140029430400 142910694400 144546508800 144697078080 147461990400 149364725760 150172102656 154343549952 156429273600 160774531200 165960806400 171492833280 173636493696 176954388480 179237670912 180871347600 186705907200 187715128320 192929437440 205791399936 208572364800 214366041600 217045617120 221192985600 224047088640 231515324928 234643910400 241161796800 248941209600 250286837760 257239249920 271307021400 280058860800 285821388800 289394156160 294923980800 298729451520 308687099904 312858547200 321549062400 342985666560 347272987392 361742695200 373411814400 375430256640 385858874880 417144729600 428732083200 434091234240 442385971200 448094177280 463030649856 469287820800 482323593600 497882419200 514478499840 542614042800 560117721600 571642777600 578788312320 617374199808 625717094400 643098124800 694545974784 723485390400 746823628800 750860513280 771717749760 857464166400 868182468480 884771942400 896188354560 926061299712 938575641600 964647187200 1028956999680 1085228085600 1120235443200 1157576624640 1251434188800 1286196249600 1389091949568 1446970780800 1493647257600 1543435499520 1714928332800 1736364936960 1852122599424 1877151283200 1929294374400 2170456171200 2240470886400 2315153249280 2572392499200 2778183899136 2893941561600 3086870999040 3472729873920 3754302566400 3858588748800 4340912342400 4480941772800 4630306498560 5144784998400 5556367798272 5787883123200 6945459747840 7717177497600 8681824684800 9260612997120 11575766246400 13890919495680 15434354995200 17363649369600 23151532492800 27781838991360 34727298739200 46303064985600 69454597478400 138909194956800
- Sum of all divisors σ(n): 551048640765168
- Sum of proper divisors (its aliquot sum) s(n): 412139445808368
- 138909194956800 is an abundant number, because the sum of its proper divisors (412139445808368) is greater than itself. Its abundance is 273230250851568
Bases of 138909194956800
- Binary: 111111001010110010100010011100010110000000000002
- Hexadecimal: 0x7E565138B000
- Base-36: 1D8M045C00
Squares and roots of 138909194956800
- 138909194956800 squared (1389091949568002) is 19295764443546270553866240000
- 138909194956800 cubed (1389091949568003) is 2680359104929058363928564648149778432000000
-
The
square root of 138909194956800 is 11785974.5017881315 -
The
cube root of 138909194956800 is 51789.7321365479
Scales and comparisons
How big is 138909194956800?- 138,909,194,956,800 seconds is equal to 4,416,882 years, 37 weeks, 5 days.
-
To count from 1 to 138,909,194,956,800 would take you about eleven million, forty-two thousand, two hundred six 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 138909194956800 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138909194956800
- 138909194956800 backwards is 008659491909831
- 138909194956800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138909194956800's digits is 72
- More coming soon!
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"Number 138909194956800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138909194956800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138909194956800/
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The information we have on file for 138909194956800 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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