3998640348144000
3,998,640,348,144,000 is an even composite number composed of seven prime numbers multiplied together.
3998640348144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 3998640348144000:
27 × 34 × 53 × 132 × 29 × 127 × 4957
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 29 × 127 × 4957)See below for interesting mathematical facts about the number 3998640348144000 from the Numbermatics database.
Names of 3998640348144000
- Cardinal: 3998640348144000 can be written as Three quadrillion, nine hundred ninety-eight trillion, six hundred forty billion, three hundred forty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.998640348144 × 1015
Factors of 3998640348144000
Divisors of 3998640348144000
- Number of divisors d(n): 3840
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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 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 125 127 128 130 135 144 145 150 156 160 162 169 174 180 192 195 200 208 216 225 232 234 240 250 254 260 261 270 288 290 300 312 320 324 325 338 348 351 360 375 377 381 384 390 400 405 416 432 435 450 464 468 480 500 507 508 520 522 540 576 580 585 600 624 635 640 648 650 675 676 696 702 720 725 750 754 762 780 783 800 810 832 845 864 870 900 928 936 960 975 1000 1014 1016 1040 1044 1053 1080 1125 1131 1143 1152 1160 1170 1200 1248 1270 1296 1300 1305 1350 1352 1392 1404 1440 1450 1500 1508 1521 1524 1560 1566 1600 1620 1625 1651 1664 1690 1728 1740 1755 1800 1856 1872 1885 1905 1920 1950 2000 2025 2028 2032 2080 2088 2106 2160 2175 2250 2262 2286 2320 2340 2349 2400 2496 2535 2540 2592 2600 2610 2700 2704 2784 2808 2880 2900 2925 3000 3016 3042 3048 3120 3132 3175 3200 3240 3250 3302 3375 3380 3393 3429 3456 3480 3510 3600 3625 3683 3712 3744 3770 3810 3900 3915 4000 4050 4056 4064 4160 4176 4212 4225 4320 4350 4500 4524 4563 4572 4640 4680 4698 4800 4875 4901 4953 4957 4992 5070 5080 5184 5200 5220 5265 5400 5408 5568 5616 5655 5715 5760 5800 5850 6000 6032 6084 6096 6240 6264 6350 6480 6500 6525 6604 6750 6760 6786 6858 6960 7020 7200 7250 7366 7488 7540 7605 7620 7800 7830 8000 8100 8112 8128 8255 8320 8352 8424 8450 8640 8700 8775 9000 9048 9126 9144 9280 9360 9396 9425 9525 9600 9750 9802 9906 9914 10125 10140 10160 10179 10287 10368 10400 10440 10530 10800 10816 10875 11049 11136 11232 11310 11430 11600 11700 11745 12000 12064 12168 12192 12480 12528 12675 12700 12960 13000 13050 13208 13500 13520 13572 13689 13716 13920 14040 14400 14500 14625 14703 14732 14859 14871 14976 15080 15210 15240 15600 15660 15875 16000 16200 16224 16256 16510 16704 16848 16900 16965 17145 17280 17400 17550 18000 18096 18252 18288 18415 18560 18720 18792 18850 19050 19500 19575 19604 19812 19828 20250 20280 20320 20358 20574 20800 20880 21060 21125 21463 21600 21632 21750 22098 22464 22620 22815 22860 23200 23400 23490 24000 24128 24336 24384 24505 24765 24785 24960 25056 25350 25400 25920 26000 26100 26325 26416 27000 27040 27144 27378 27432 27840 28080 28275 28575 28800 29000 29250 29406 29464 29718 29742 30160 30420 30480 30537 31200 31320 31750 32400 32448 32625 33020 33147 33408 33696 33800 33930 34290 34800 35100 36000 36192 36504 36576 36830 37440 37584 37700 38025 38100 39000 39150 39208 39624 39656 40500 40560 40640 40716 41148 41275 41600 41760 42120 42250 42926 43200 43500 43875 44109 44196 44577 44613 44928 45240 45630 45720 46400 46800 46980 47125 47625 47879 48000 48256 48672 48768 49010 49530 49570 50112 50700 50800 50895 51435 51840 52000 52200 52650 52832 54000 54080 54288 54756 54864 55245 55680 56160 56550 57150 58000 58500 58725 58812 58928 59436 59484 60320 60840 60960 61074 62400 62640 63375 63500 64389 64441 64800 64896 65250 66040 66294 67392 67600 67860 68445 68580 69600 70200 72000 72384 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31485357072000 31989122785152 33322002901200 34176413232000 34471037484000 37024447668000 38448464886000 39986403481440 41652503626500 44429337201600 45961383312000 49365930224000 49983004351800 51264619848000 53315204641920 55536671502000 61517543817600 62478755439750 66644005802400 68942074968000 74048895336000 76896929772000 79972806962880 83305007253000 88858674403200 99966008703600 102529239696000 111073343004000 124957510879500 133288011604800 137884149936000 148097790672000 153793859544000 159945613925760 166610014506000 199932017407200 222146686008000 249915021759000 266576023209600 307587719088000 333220029012000 399864034814400 444293372016000 499830043518000 666440058024000 799728069628800 999660087036000 1332880116048000 1999320174072000 3998640348144000
- Sum of all divisors σ(n): 16770228715468800
- Sum of proper divisors (its aliquot sum) s(n): 12771588367324800
- 3998640348144000 is an abundant number, because the sum of its proper divisors (12771588367324800) is greater than itself. Its abundance is 8772948019180800
Bases of 3998640348144000
- Binary: 11100011010010111110000000011000100100100001100000002
- Hexadecimal: 0xE34BE01892180
- Base-36: 13DEE0LG800
Squares and roots of 3998640348144000
- 3998640348144000 squared (39986403481440002) is 15989124633805169524244736000000
- 3998640348144000 cubed (39986403481440003) is 63934758892236509577892910007699369984000000000
-
The
square root of 3998640348144000 is 63234803.2980573127 -
The
cube root of 3998640348144000 is 158722.1172186627
Scales and comparisons
How big is 3998640348144000?- 3,998,640,348,144,000 seconds is equal to 127,144,394 years, 24 weeks, 1 day.
-
To count from 1 to 3,998,640,348,144,000 would take you about three hundred eighty-one million, four hundred thirty-three thousand, one hundred eighty-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 3998640348144000 cubic inches would be around 13226.8 feet tall.
Recreational maths with 3998640348144000
- 3998640348144000 backwards is 0004418430468993
- The number of decimal digits it has is: 16
- The sum of 3998640348144000's digits is 63
- More coming soon!
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"Number 3998640348144000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 3998640348144000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/3998640348144000/
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Numbermatics. 2024. "Number 3998640348144000 - Facts about the integer". https://numbermatics.com/n/3998640348144000/
The information we have on file for 3998640348144000 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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