138948659516160000
138,948,659,516,160,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138948659516160000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 5760 divisors.
138948659516160000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 138948659516160000:
211 × 32 × 54 × 13 × 23 × 89 × 281 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 23 × 89 × 281 × 1613)See below for interesting mathematical facts about the number 138948659516160000 from the Numbermatics database.
Names of 138948659516160000
- Cardinal: 138948659516160000 can be written as One hundred thirty-eight quadrillion, nine hundred forty-eight trillion, six hundred fifty-nine billion, five hundred sixteen million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3894865951616 × 1017
Factors of 138948659516160000
Divisors of 138948659516160000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 64 65 69 72 75 78 80 89 90 92 96 100 104 115 117 120 125 128 130 138 144 150 156 160 178 180 184 192 195 200 207 208 225 230 234 240 250 256 260 267 276 281 288 299 300 312 320 325 345 356 360 368 375 384 390 400 414 416 445 450 460 468 480 500 512 520 534 552 562 575 576 585 598 600 624 625 640 650 690 712 720 736 750 768 780 800 801 828 832 843 890 897 900 920 936 960 975 1000 1024 1035 1040 1068 1104 1124 1125 1150 1152 1157 1170 1196 1200 1248 1250 1280 1300 1335 1380 1405 1424 1440 1472 1495 1500 1536 1560 1600 1602 1613 1625 1656 1664 1686 1725 1780 1794 1800 1840 1872 1875 1920 1950 2000 2047 2048 2070 2080 2136 2208 2225 2248 2250 2300 2304 2314 2340 2392 2400 2496 2500 2529 2560 2600 2670 2691 2760 2810 2848 2875 2880 2925 2944 2990 3000 3072 3120 3200 3204 3226 3250 3312 3328 3372 3450 3471 3560 3588 3600 3653 3680 3744 3750 3840 3900 4000 4005 4094 4140 4160 4215 4272 4416 4450 4485 4496 4500 4600 4608 4628 4680 4784 4800 4839 4875 4992 5000 5058 5120 5175 5200 5340 5382 5520 5620 5625 5696 5750 5760 5785 5850 5888 5980 6000 6141 6144 6240 6400 6408 6452 6463 6500 6624 6656 6675 6744 6900 6942 7025 7120 7176 7200 7306 7360 7475 7488 7500 7680 7800 8000 8010 8065 8125 8188 8280 8320 8430 8544 8625 8832 8900 8970 8992 9000 9200 9216 9256 9360 9568 9600 9678 9750 9984 10000 10116 10235 10240 10350 10400 10413 10680 10764 10959 11040 11125 11240 11250 11392 11500 11520 11570 11700 11776 11960 12000 12282 12480 12645 12800 12816 12904 12926 13000 13248 13312 13350 13455 13488 13800 13884 14050 14240 14352 14375 14400 14517 14612 14625 14720 14950 14976 15000 15360 15600 16000 16020 16130 16250 16376 16560 16640 16860 17088 17250 17355 17664 17800 17940 17984 18000 18265 18400 18423 18432 18512 18720 19136 19200 19356 19389 19500 19968 20000 20025 20232 20470 20700 20800 20826 20969 21075 21360 21528 21918 22080 22250 22425 22480 22500 22784 23000 23040 23140 23400 23552 23920 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13894865951616000 15438739946240000 17368582439520000 23158109919360000 27789731903232000 34737164879040000 46316219838720000 69474329758080000 138948659516160000
- Sum of all divisors σ(n): 572245936985923200
- Sum of proper divisors (its aliquot sum) s(n): 433297277469763200
- 138948659516160000 is an abundant number, because the sum of its proper divisors (433297277469763200) is greater than itself. Its abundance is 294348617953603200
Bases of 138948659516160000
- Binary: 1111011011010010100010001110101000111101000111000000000002
- Hexadecimal: 0x1EDA511D47A3800
- Base-36: 12056SYVUGW0
Squares and roots of 138948659516160000
- 138948659516160000 squared (1389486595161600002) is 19306729981337760925301145600000000
- 138948659516160000 cubed (1389486595161600003) is 2682644250547338653800492031487189712896000000000000
-
The
square root of 138948659516160000 is 372758178.3357140509 -
The
cube root of 138948659516160000 is 517946.3621659255
Scales and comparisons
How big is 138948659516160000?- 138,948,659,516,160,000 seconds is equal to 4,418,137,576 years, 9 weeks, 6 days, 8 hours.
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To count from 1 to 138,948,659,516,160,000 would take you about thirteen billion, two hundred fifty-four million, four hundred twelve thousand, seven hundred twenty-eight 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 138948659516160000 cubic inches would be around 43162.2 feet tall.
Recreational maths with 138948659516160000
- 138948659516160000 backwards is 000061615956849831
- 138948659516160000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138948659516160000's digits is 72
- More coming soon!
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The information we have on file for 138948659516160000 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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