135307807430400
135,307,807,430,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 135307807430400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2376 divisors.
135307807430400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 135307807430400:
28 × 310 × 52 × 113 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 269)See below for interesting mathematical facts about the number 135307807430400 from the Numbermatics database.
Names of 135307807430400
- Cardinal: 135307807430400 can be written as One hundred thirty-five trillion, three hundred seven billion, eight hundred seven million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.353078074304 × 1014
Factors of 135307807430400
Divisors of 135307807430400
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 243 256 264 269 270 275 288 297 300 320 324 330 352 360 363 384 396 400 405 432 440 450 480 484 486 495 528 538 540 550 576 594 600 605 640 648 660 675 704 720 726 729 768 792 800 807 810 825 864 880 891 900 960 968 972 990 1056 1076 1080 1089 1100 1152 1188 1200 1210 1215 1280 1296 1320 1331 1345 1350 1408 1440 1452 1458 1485 1584 1600 1614 1620 1650 1728 1760 1782 1800 1815 1920 1936 1944 1980 2025 2112 2152 2160 2178 2187 2200 2304 2376 2400 2420 2421 2430 2475 2592 2640 2662 2673 2690 2700 2816 2880 2904 2916 2959 2970 3025 3168 3200 3228 3240 3267 3300 3456 3520 3564 3600 3630 3645 3840 3872 3888 3960 3993 4035 4050 4224 4304 4320 4356 4374 4400 4455 4752 4800 4840 4842 4860 4950 5184 5280 5324 5346 5380 5400 5445 5760 5808 5832 5918 5940 6050 6075 6336 6400 6456 6480 6534 6561 6600 6655 6725 6912 7040 7128 7200 7260 7263 7290 7425 7744 7776 7920 7986 8019 8070 8100 8448 8608 8640 8712 8748 8800 8877 8910 9075 9504 9600 9680 9684 9720 9801 9900 10368 10560 10648 10692 10760 10800 10890 10935 11520 11616 11664 11836 11880 11979 12100 12105 12150 12672 12912 12960 13068 13122 13200 13310 13365 13450 14080 14256 14400 14520 14526 14580 14795 14850 15488 15552 15840 15972 16038 16140 16200 16335 17216 17280 17424 17496 17600 17754 17820 18150 18225 19008 19200 19360 19368 19440 19602 19683 19800 19965 20175 20736 21120 21296 21384 21520 21600 21780 21789 21870 22275 23232 23328 23672 23760 23958 24057 24200 24210 24300 25344 25824 25920 26136 26244 26400 26620 26631 26730 26900 27225 28512 28800 29040 29052 29160 29403 29590 29700 30976 31104 31680 31944 32076 32280 32400 32549 32670 32805 33275 34432 34560 34848 34992 35200 35508 35640 35937 36300 36315 36450 38016 38720 38736 38880 39204 39366 39600 39930 40095 40350 42240 42592 42768 43040 43200 43560 43578 43740 44385 44550 46464 46656 47344 47520 47916 48114 48400 48420 48600 49005 51648 51840 52272 52488 52800 53240 53262 53460 53800 54450 54675 57024 57600 58080 58104 58320 58806 59049 59180 59400 59895 60525 62208 63360 63888 64152 64560 64800 65098 65340 65367 65610 66550 66825 68864 69696 69984 70400 71016 71280 71874 72171 72600 72630 72900 73975 76032 77440 77472 77760 78408 78732 79200 79860 79893 80190 80700 81675 85184 85536 86080 86400 87120 87156 87480 88209 88770 89100 92928 93312 94688 95040 95832 96228 96800 96840 97200 97647 98010 98415 99825 103296 103680 104544 104976 105600 106480 106524 106920 107600 107811 108900 108945 109350 114048 116160 116208 116640 117612 118098 118360 118800 119790 120285 121050 126720 127776 128304 129120 129600 130196 130680 130734 131220 133100 133155 133650 139392 139968 142032 142560 143748 144342 145200 145260 145800 147015 147950 154880 154944 155520 156816 157464 158400 159720 159786 160380 161400 162745 163350 164025 170368 171072 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205011829440 208808344800 211418449110 223649268480 225513012384 227790921600 234909387900 246014195328 250570013760 251501500800 256264786800 273349105920 278411126400 279561585600 281891265480 300684016512 307517744160 313212517200 334093351680 338269518576 341686382400 352364081850 372748780800 375855020640 384397180200 410023658880 417616689600 422836898220 451026024768 455581843200 469818775800 492028390656 501140027520 503003001600 512529573600 528546122775 556822252800 559123171200 563782530960 601368033024 615035488320 626425034400 676539037152 683372764800 704728163700 751710041280 768794360400 820047317760 835233379200 845673796440 902052049536 939637551600 1002280055040 1025059147200 1057092245550 1118246342400 1127565061920 1230070976640 1252850068800 1353078074304 1366745529600 1409456327400 1503420082560 1537588720800 1670466758400 1691347592880 1804104099072 1879275103200 2050118294400 2114184491100 2255130123840 2460141953280 2505700137600 2706156148608 2818912654800 3006840165120 3075177441600 3382695185760 3758550206400 4100236588800 4228368982200 4510260247680 5011400275200 5412312297216 5637825309600 6150354883200 6765390371520 7517100412800 8456737964400 9020520495360 11275650619200 12300709766400 13530780743040 15034200825600 16913475928800 22551301238400 27061561486080 33826951857600 45102602476800 67653903715200 135307807430400
- Sum of all divisors σ(n): 554611396505040
- Sum of proper divisors (its aliquot sum) s(n): 419303589074640
- 135307807430400 is an abundant number, because the sum of its proper divisors (419303589074640) is greater than itself. Its abundance is 283995781644240
Bases of 135307807430400
- Binary: 111101100001111110011011100110000010111000000002
- Hexadecimal: 0x7B0FCDCC1700
- Base-36: 1BYNJR0000
Squares and roots of 135307807430400
- 135307807430400 squared (1353078074304002) is 18308202751622209450844160000
- 135307807430400 cubed (1353078074304003) is 2477242772313217317586596536000446464000000
-
The
square root of 135307807430400 is 11632188.4196568961 -
The
cube root of 135307807430400 is 51338.2371986397
Scales and comparisons
How big is 135307807430400?- 135,307,807,430,400 seconds is equal to 4,302,369 years, 38 weeks, 4 days.
-
To count from 1 to 135,307,807,430,400 would take you about ten million, seven hundred fifty-five thousand, nine hundred twenty-four 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 135307807430400 cubic inches would be around 4278.2 feet tall.
Recreational maths with 135307807430400
- 135307807430400 backwards is 004034708703531
- 135307807430400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135307807430400's digits is 45
- More coming soon!
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The information we have on file for 135307807430400 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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