642138529532256000
642,138,529,532,256,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 642138529532256000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
642138529532256000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 642138529532256000:
28 × 32 × 53 × 17 × 19 × 79 × 87378911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 19 × 79 × 87378911)See below for interesting mathematical facts about the number 642138529532256000 from the Numbermatics database.
Names of 642138529532256000
- Cardinal: 642138529532256000 can be written as Six hundred forty-two quadrillion, one hundred thirty-eight trillion, five hundred twenty-nine billion, five hundred thirty-two million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 6.42138529532256 × 1017
Factors of 642138529532256000
Divisors of 642138529532256000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 38 40 45 48 50 51 57 60 64 68 72 75 76 79 80 85 90 95 96 100 102 114 120 125 128 136 144 150 152 153 158 160 170 171 180 190 192 200 204 225 228 237 240 250 255 256 272 285 288 300 304 306 316 320 323 340 342 360 375 380 384 395 400 408 425 450 456 474 475 480 500 510 544 570 576 600 608 612 632 640 646 680 684 711 720 750 760 765 768 790 800 816 850 855 900 912 948 950 960 969 1000 1020 1088 1125 1140 1152 1185 1200 1216 1224 1264 1275 1280 1292 1343 1360 1368 1422 1425 1440 1500 1501 1520 1530 1580 1600 1615 1632 1700 1710 1800 1824 1896 1900 1920 1938 1975 2000 2040 2125 2176 2250 2280 2304 2370 2375 2400 2432 2448 2528 2550 2584 2686 2720 2736 2844 2850 2880 2907 3000 3002 3040 3060 3160 3200 3230 3264 3400 3420 3555 3600 3648 3792 3800 3825 3840 3876 3950 4000 4029 4080 4250 4275 4352 4500 4503 4560 4740 4750 4800 4845 4864 4896 5056 5100 5168 5372 5440 5472 5688 5700 5760 5814 5925 6000 6004 6080 6120 6320 6375 6400 6460 6528 6715 6800 6840 7110 7125 7200 7296 7505 7584 7600 7650 7752 7900 8000 8058 8075 8160 8500 8550 9000 9006 9120 9480 9500 9600 9690 9792 9875 10112 10200 10336 10744 10880 10944 11376 11400 11520 11628 11850 12000 12008 12087 12160 12240 12640 12750 12920 13056 13430 13509 13600 13680 14220 14250 14400 14535 14592 15010 15168 15200 15300 15504 15800 16000 16116 16150 16320 17000 17100 17775 18000 18012 18240 18960 19000 19125 19200 19380 19584 19750 20145 20224 20400 20672 21375 21488 21760 21888 22515 22752 22800 23256 23700 24000 24016 24174 24225 24320 24480 25280 25500 25517 25840 26860 27018 27200 27360 28440 28500 28800 29070 29625 30020 30336 30400 30600 31008 31600 32000 32232 32300 32640 33575 34000 34200 35550 36000 36024 36480 37525 37920 38000 38250 38760 39168 39500 40290 40375 40800 41344 42750 42976 43776 45030 45504 45600 46512 47400 48000 48032 48348 48450 48960 50560 51000 51034 51680 53720 54036 54400 54720 56880 57000 57600 58140 59250 60040 60435 60672 60800 61200 62016 63200 64464 64600 65280 67150 67545 68000 68400 71100 72000 72048 72675 72960 75050 75840 76000 76500 76551 77520 79000 80580 80750 81600 82688 85500 85952 88875 90060 91008 91200 93024 94800 96000 96064 96696 96900 97920 100725 101120 102000 102068 103360 107440 108072 108800 109440 112575 113760 114000 116280 118500 120080 120870 121125 121600 122400 124032 126400 127585 128928 129200 134300 135090 136000 136800 142200 144000 144096 145350 150100 151680 152000 153000 153102 155040 158000 161160 161500 163200 167875 171000 171904 177750 180120 182016 182400 186048 187625 189600 192128 193392 193800 195840 201450 204000 204136 206720 214880 216144 218880 225150 227520 228000 229653 232560 237000 240160 241740 242250 244800 248064 252800 255170 257856 258400 268600 270180 272000 273600 284400 288000 288192 290700 300200 302175 303360 304000 306000 306204 310080 316000 322320 323000 326400 335750 337725 342000 343808 355500 360240 363375 364800 372096 375250 379200 382755 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3147737889864000 3210692647661280 3344471507980500 3379676471222400 3567436275179200 3755196079136000 3777285467836800 4013365809576600 4064167908432000 4196983853152000 4224595589028000 4280923530215040 4459295343974000 4721606834796000 5016707261970750 5137108236258048 5351154412768800 5632794118704000 6295475779728000 6421385295322560 6688943015961000 6759352942444800 7134872550358400 7554570935673600 8026731619153200 8128335816864000 8449191178056000 8561847060430080 8918590687948000 9443213669592000 10033414523941500 10702308825537600 11265588237408000 12590951559456000 12842770590645120 13377886031922000 14269745100716800 16053463238306400 16898382356112000 17837181375896000 18886427339184000 20066829047883000 21404617651075200 25685541181290240 26755772063844000 32106926476612800 33796764712224000 35674362751792000 37772854678368000 40133658095766000 42809235302150400 53511544127688000 64213852953225600 71348725503584000 80267316191532000 107023088255376000 128427705906451200 160534632383064000 214046176510752000 321069264766128000 642138529532256000
- Sum of all divisors σ(n): 2607882207462604800
- Sum of proper divisors (its aliquot sum) s(n): 1965743677930348800
- 642138529532256000 is an abundant number, because the sum of its proper divisors (1965743677930348800) is greater than itself. Its abundance is 1323605148398092800
Bases of 642138529532256000
- Binary: 1000111010010101010110010111001001010101110010011111000000002
- Hexadecimal: 0x8E95597255C9F00
- Base-36: 4VMR400TZNK0
Squares and roots of 642138529532256000
- 642138529532256000 squared (6421385295322560002) is 412341891109848011066144449536000000
- 642138529532256000 cubed (6421385295322560003) is 264780615621827424834152981504583552676233216000000000
-
The
square root of 642138529532256000 is 801335466.2887797081 -
The
cube root of 642138529532256000 is 862732.6676792457
Scales and comparisons
How big is 642138529532256000?- 642,138,529,532,256,000 seconds is equal to 20,418,018,974 years, 12 weeks, 3 days, 8 hours.
-
To count from 1 to 642,138,529,532,256,000 would take you about sixty-one billion, two hundred fifty-four million, fifty-six thousand, nine hundred twenty-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 642138529532256000 cubic inches would be around 71894.4 feet tall.
Recreational maths with 642138529532256000
- 642138529532256000 backwards is 000652235925831246
- The number of decimal digits it has is: 18
- The sum of 642138529532256000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 642138529532256000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/642138529532256000/
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The information we have on file for 642138529532256000 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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