148437214848000
148,437,214,848,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 148437214848000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3168 divisors.
148437214848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 148437214848000:
210 × 35 × 53 × 13 × 19 × 1392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 19 × 139 × 139)See below for interesting mathematical facts about the number 148437214848000 from the Numbermatics database.
Names of 148437214848000
- Cardinal: 148437214848000 can be written as One hundred forty-eight trillion, four hundred thirty-seven billion, two hundred fourteen million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.48437214848 × 1014
Factors of 148437214848000
Divisors of 148437214848000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 81 90 95 96 100 104 108 114 117 120 125 128 130 135 139 144 150 152 156 160 162 171 180 190 192 195 200 208 216 225 228 234 240 243 247 250 256 260 270 278 285 288 300 304 312 320 324 325 342 351 360 375 380 384 390 400 405 416 417 432 450 456 468 475 480 486 494 500 512 513 520 540 556 570 576 585 600 608 624 640 648 650 675 684 695 702 720 741 750 760 768 780 800 810 832 834 855 864 900 912 936 950 960 972 975 988 1000 1024 1026 1040 1053 1080 1112 1125 1140 1152 1170 1200 1215 1216 1235 1248 1251 1280 1296 1300 1350 1368 1390 1404 1425 1440 1482 1500 1520 1536 1539 1560 1600 1620 1625 1664 1668 1710 1728 1755 1800 1807 1824 1872 1900 1920 1944 1950 1976 2000 2025 2052 2080 2085 2106 2160 2223 2224 2250 2280 2304 2340 2375 2400 2430 2432 2470 2496 2502 2560 2565 2592 2600 2641 2700 2736 2780 2808 2850 2880 2925 2964 3000 3040 3072 3078 3120 3159 3200 3240 3250 3328 3336 3375 3420 3456 3475 3510 3600 3614 3648 3705 3744 3753 3800 3840 3888 3900 3952 4000 4050 4104 4160 4170 4212 4275 4320 4446 4448 4500 4560 4608 4617 4680 4750 4800 4860 4864 4875 4940 4992 5004 5120 5130 5184 5200 5265 5282 5400 5421 5472 5560 5616 5700 5760 5850 5928 6000 6075 6080 6156 6175 6240 6255 6318 6400 6480 6500 6656 6669 6672 6750 6840 6912 6950 7020 7125 7200 7228 7296 7410 7488 7506 7600 7680 7695 7776 7800 7904 7923 8000 8100 8208 8320 8340 8424 8550 8640 8775 8892 8896 9000 9035 9120 9216 9234 9360 9500 9600 9720 9728 9750 9880 9984 10008 10125 10260 10368 10400 10425 10530 10564 10800 10842 10944 11115 11120 11232 11259 11400 11520 11700 11856 12000 12150 12160 12312 12350 12480 12510 12636 12800 12825 12960 13000 13205 13312 13338 13344 13500 13680 13824 13900 14040 14250 14400 14456 14592 14625 14820 14976 15012 15200 15360 15390 15552 15600 15795 15808 15846 16000 16200 16263 16416 16640 16680 16848 17100 17280 17375 17550 17784 17792 18000 18070 18240 18468 18525 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434026944000 456729891840 458139552000 463866296400 475760304000 488280312000 494790716160 515406996000 520832332800 533946816000 549767462400 570912364800 579832870500 593748859392 600960384000 610852736000 618488395200 634347072000 651040416000 659720954880 687209328000 713640456000 742186074240 761216486400 773110494000 781248499200 824651193600 868053888000 916279104000 927732592800 951520608000 976560624000 989581432320 1030813992000 1067893632000 1099534924800 1141824729600 1159665741000 1187497718784 1236976790400 1268694144000 1302080832000 1374418656000 1427280912000 1484372148480 1546220988000 1562496998400 1649302387200 1832558208000 1855465185600 1903041216000 1953121248000 1979162864640 2061627984000 2283649459200 2319331482000 2473953580800 2604161664000 2748837312000 2854561824000 2968744296960 3092441976000 3298604774400 3710930371200 3806082432000 3906242496000 4123255968000 4638662964000 4947907161600 5497674624000 5709123648000 5937488593920 6184883952000 7421860742400 7812484992000 8246511936000 9277325928000 9895814323200 11418247296000 12369767904000 14843721484800 16493023872000 18554651856000 24739535808000 29687442969600 37109303712000 49479071616000 74218607424000 148437214848000
- Sum of all divisors σ(n): 633383883699840
- Sum of proper divisors (its aliquot sum) s(n): 484946668851840
- 148437214848000 is an abundant number, because the sum of its proper divisors (484946668851840) is greater than itself. Its abundance is 336509454003840
Bases of 148437214848000
- Binary: 1000011100000000101110110111011001100100000000002
- Hexadecimal: 0x8700BB766400
- Base-36: 1GM7456O00
Squares and roots of 148437214848000
- 148437214848000 squared (1484372148480002) is 22033606751831311663104000000
- 148437214848000 cubed (1484372148480003) is 3270607219297927826789816642568192000000000
-
The
square root of 148437214848000 is 12183481.2286144225 -
The
cube root of 148437214848000 is 52947.7608985029
Scales and comparisons
How big is 148437214848000?- 148,437,214,848,000 seconds is equal to 4,719,844 years, 14 weeks, 6 days.
-
To count from 1 to 148,437,214,848,000 would take you about eleven million, seven hundred ninety-nine thousand, six hundred ten 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 148437214848000 cubic inches would be around 4412.3 feet tall.
Recreational maths with 148437214848000
- 148437214848000 backwards is 000848412734841
- 148437214848000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 148437214848000's digits is 54
- More coming soon!
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"Number 148437214848000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 148437214848000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/148437214848000/
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The information we have on file for 148437214848000 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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