90640442138688000
90,640,442,138,688,000 is an even composite number composed of seven prime numbers multiplied together.
90640442138688000 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 90640442138688000:
29 × 33 × 53 × 132 × 37 × 47 × 178481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 37 × 47 × 178481)See below for interesting mathematical facts about the number 90640442138688000 from the Numbermatics database.
Names of 90640442138688000
- Cardinal: 90640442138688000 can be written as Ninety quadrillion, six hundred forty trillion, four hundred forty-two billion, one hundred thirty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 9.0640442138688 × 1016
Factors of 90640442138688000
Divisors of 90640442138688000
- 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 30 32 36 37 39 40 45 47 48 50 52 54 60 64 65 72 74 75 78 80 90 94 96 100 104 108 111 117 120 125 128 130 135 141 144 148 150 156 160 169 180 185 188 192 195 200 208 216 222 225 234 235 240 250 256 260 270 282 288 296 300 312 320 325 333 338 351 360 370 375 376 384 390 400 416 423 432 444 450 468 470 480 481 500 507 512 520 540 555 564 576 585 592 600 611 624 640 650 666 675 676 702 705 720 740 750 752 768 780 800 832 845 846 864 888 900 925 936 940 960 962 975 999 1000 1014 1040 1080 1110 1125 1128 1152 1170 1175 1184 1200 1222 1248 1269 1280 1300 1332 1350 1352 1404 1410 1440 1443 1480 1500 1504 1521 1536 1560 1600 1625 1664 1665 1690 1692 1728 1739 1755 1776 1800 1833 1850 1872 1880 1920 1924 1950 1998 2000 2028 2080 2115 2160 2220 2250 2256 2304 2340 2350 2368 2400 2405 2444 2496 2535 2538 2560 2600 2664 2700 2704 2775 2808 2820 2880 2886 2925 2960 3000 3008 3042 3055 3120 3200 3250 3328 3330 3375 3380 3384 3456 3478 3510 3525 3552 3600 3666 3700 3744 3760 3840 3848 3900 3996 4000 4056 4160 4225 4230 4320 4329 4440 4500 4512 4563 4608 4625 4680 4700 4736 4800 4810 4875 4888 4992 4995 5070 5076 5200 5217 5328 5400 5408 5499 5550 5616 5640 5760 5772 5850 5875 5920 6000 6016 6084 6110 6240 6253 6345 6400 6500 6656 6660 6750 6760 6768 6912 6956 7020 7050 7104 7200 7215 7332 7400 7488 7520 7605 7680 7696 7800 7943 7992 8000 8112 8320 8325 8450 8460 8640 8658 8695 8775 8880 9000 9024 9126 9165 9250 9360 9400 9472 9600 9620 9750 9776 9984 9990 10140 10152 10400 10434 10575 10656 10800 10816 10998 11100 11232 11280 11520 11544 11700 11750 11840 12000 12025 12032 12168 12220 12480 12506 12675 12690 12800 12987 13000 13320 13500 13520 13536 13824 13875 13912 14040 14100 14208 14400 14430 14625 14664 14800 14976 15040 15210 15275 15392 15600 15651 15886 15984 16000 16224 16497 16640 16650 16900 16920 17280 17316 17390 17550 17625 17760 18000 18048 18252 18330 18500 18720 18759 18800 18944 19200 19240 19500 19552 19968 19980 20280 20304 20800 20868 21125 21150 21312 21600 21632 21645 21996 22200 22464 22560 22607 22815 23040 23088 23400 23500 23680 23829 24000 24050 24064 24336 24440 24960 24975 25012 25350 25380 25974 26000 26085 26640 27000 27040 27072 27495 27750 27824 28080 28200 28416 28800 28860 29250 29328 29600 29952 30080 30420 30550 30784 31200 31265 31302 31725 31772 31968 32000 32448 32994 33280 33300 33800 33840 34560 34632 34780 35100 35250 35520 36000 36075 36096 36504 36660 37000 37440 37518 37600 38025 38400 38480 39000 39104 39715 39960 40560 40608 41600 41625 41736 42250 42300 42624 43200 43264 43290 43475 43875 43992 44400 44928 45120 45214 45630 45825 46176 46800 46953 47000 47360 47658 48000 48100 48672 48880 49920 49950 50024 50700 50760 51948 52000 52170 52875 53280 54000 54080 54144 54990 55500 55648 56160 56277 56400 56832 57600 57720 58500 58656 59200 59904 60125 60160 60840 61100 61568 62400 62530 62604 63375 63450 63544 63936 64000 64896 64935 65988 66600 67600 67680 67821 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2266011053467200 2324113900992000 2449741679424000 2517790059408000 2832513816834000 3021348071289600 3357053412544000 3486170851488000 3625617685547520 3776685089112000 4532022106934400 5035580118816000 5665027633668000 6042696142579200 6972341702976000 7553370178224000 9064044213868800 10071160237632000 11330055267336000 15106740356448000 18128088427737600 22660110534672000 30213480712896000 45320221069344000 90640442138688000
- Sum of all divisors σ(n): 380303717727098880
- Sum of proper divisors (its aliquot sum) s(n): 289663275588410880
- 90640442138688000 is an abundant number, because the sum of its proper divisors (289663275588410880) is greater than itself. Its abundance is 199022833449722880
Bases of 90640442138688000
- Binary: 1010000100000010100000000011110111111010111111010000000002
- Hexadecimal: 0x14205007BF5FA00
- Base-36: OSHCS9YIDC0
Squares and roots of 90640442138688000
- 90640442138688000 squared (906404421386880002) is 8215689751096847259426361344000000
- 90640442138688000 cubed (906404421386880003) is 744673751513705800601013611387197250076672000000000
-
The
square root of 90640442138688000 is 301065511.3736676415 -
The
cube root of 90640442138688000 is 449200.9559051463
Scales and comparisons
How big is 90640442138688000?- 90,640,442,138,688,000 seconds is equal to 2,882,085,690 years, 37 weeks, 1 day.
-
To count from 1 to 90,640,442,138,688,000 would take you about eight billion, six hundred forty-six million, two hundred fifty-seven thousand and seventy-two 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 90640442138688000 cubic inches would be around 37433.4 feet tall.
Recreational maths with 90640442138688000
- 90640442138688000 backwards is 00088683124404609
- The number of decimal digits it has is: 17
- The sum of 90640442138688000's digits is 63
- More coming soon!
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The information we have on file for 90640442138688000 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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