45142713008640000
45,142,713,008,640,000 is an even composite number composed of seven prime numbers multiplied together.
45142713008640000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, six hundred eighty divisors.
Prime factorization of 45142713008640000:
212 × 32 × 54 × 13 × 29 × 592 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 29 × 59 × 59 × 1493)See below for interesting mathematical facts about the number 45142713008640000 from the Numbermatics database.
Names of 45142713008640000
- Cardinal: 45142713008640000 can be written as Forty-five quadrillion, one hundred forty-two trillion, seven hundred thirteen billion, eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.514271300864 × 1016
Factors of 45142713008640000
Divisors of 45142713008640000
- Number of divisors d(n): 4680
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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 29 30 32 36 39 40 45 48 50 52 58 59 60 64 65 72 75 78 80 87 90 96 100 104 116 117 118 120 125 128 130 144 145 150 156 160 174 177 180 192 195 200 208 225 232 234 236 240 250 256 260 261 288 290 295 300 312 320 325 348 354 360 375 377 384 390 400 416 435 450 464 468 472 480 500 512 520 522 531 576 580 585 590 600 624 625 640 650 696 708 720 725 750 754 767 768 780 800 832 870 885 900 928 936 944 960 975 1000 1024 1040 1044 1062 1125 1131 1152 1160 1170 1180 1200 1248 1250 1280 1300 1305 1392 1416 1440 1450 1475 1493 1500 1508 1534 1536 1560 1600 1625 1664 1711 1740 1770 1800 1856 1872 1875 1885 1888 1920 1950 2000 2048 2080 2088 2124 2175 2250 2262 2301 2304 2320 2340 2360 2400 2496 2500 2560 2600 2610 2655 2784 2832 2880 2900 2925 2950 2986 3000 3016 3068 3072 3120 3200 3250 3328 3393 3422 3480 3481 3540 3600 3625 3712 3744 3750 3770 3776 3835 3840 3900 4000 4096 4160 4176 4248 4350 4425 4479 4500 4524 4602 4608 4640 4680 4720 4800 4875 4992 5000 5120 5133 5200 5220 5310 5568 5625 5655 5664 5760 5800 5850 5900 5972 6000 6032 6136 6144 6240 6400 6500 6525 6656 6786 6844 6903 6960 6962 7080 7200 7250 7375 7424 7465 7488 7500 7540 7552 7670 7680 7800 8000 8125 8320 8352 8496 8555 8700 8850 8958 9000 9048 9204 9216 9280 9360 9425 9440 9600 9750 9984 10000 10240 10266 10400 10440 10443 10620 10875 11136 11250 11310 11328 11505 11520 11600 11700 11800 11944 12000 12064 12272 12288 12480 12800 13000 13050 13275 13312 13437 13572 13688 13806 13920 13924 14160 14400 14500 14625 14750 14848 14930 14976 15000 15080 15104 15340 15360 15399 15600 16000 16250 16640 16704 16965 16992 17110 17400 17405 17700 17916 18000 18096 18125 18408 18432 18560 18720 18850 18880 19175 19200 19409 19500 19968 20000 20480 20532 20800 20880 20886 21240 21750 22125 22243 22272 22395 22500 22620 22656 23010 23040 23200 23400 23600 23888 24000 24128 24375 24544 24960 25600 25665 26000 26100 26550 26624 26874 27144 27376 27612 27840 27848 28275 28320 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191282682240000 192917576960000 194580659520000 200634280038400 217032274080000 225713565043200 231501092352000 235118296920000 250792850048000 255043576320000 259440879360000 282141956304000 289376365440000 300951420057600 311329055232000 313491062560000 347251638528000 352677445380000 361141704069120 376189275072000 382565364480000 385835153920000 389161319040000 434064548160000 451427130086400 470236593840000 501585700096000 518881758720000 564283912608000 578752730880000 601902840115200 626982125120000 694503277056000 705354890760000 752378550144000 765130728960000 778322638080000 868129096320000 902854260172800 940473187680000 1003171400192000 1128567825216000 1157505461760000 1253964250240000 1410709781520000 1504757100288000 1556645276160000 1736258192640000 1805708520345600 1880946375360000 2257135650432000 2507928500480000 2821419563040000 3009514200576000 3472516385280000 3761892750720000 4514271300864000 5015857000960000 5642839126080000 7523785501440000 9028542601728000 11285678252160000 15047571002880000 22571356504320000 45142713008640000
- Sum of all divisors σ(n): 184780920714029640
- Sum of proper divisors (its aliquot sum) s(n): 139638207705389640
- 45142713008640000 is an abundant number, because the sum of its proper divisors (139638207705389640) is greater than itself. Its abundance is 94495494696749640
Bases of 45142713008640000
- Binary: 101000000110000100001110111011010001001111010000000000002
- Hexadecimal: 0xA0610EED13D000
- Base-36: CCHR82718G0
Squares and roots of 45142713008640000
- 45142713008640000 squared (451427130086400002) is 2037864537780435080714649600000000
- 45142713008640000 cubed (451427130086400003) is 91994733979506987470256220885739372544000000000000
-
The
square root of 45142713008640000 is 212468145.8681277241 -
The
cube root of 45142713008640000 is 356064.9447243017
Scales and comparisons
How big is 45142713008640000?- 45,142,713,008,640,000 seconds is equal to 1,435,398,638 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 45,142,713,008,640,000 would take you about four billion, three hundred six million, one hundred ninety-five thousand, nine hundred fourteen 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 45142713008640000 cubic inches would be around 29672.1 feet tall.
Recreational maths with 45142713008640000
- 45142713008640000 backwards is 00004680031724154
- 45142713008640000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 45142713008640000's digits is 45
- More coming soon!
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"Number 45142713008640000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 45142713008640000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/45142713008640000/
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The information we have on file for 45142713008640000 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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