137135782512
137,135,782,512 is an even composite number composed of five prime numbers multiplied together.
137135782512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137135782512:
24 × 37 × 17 × 269 × 857
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 269 × 857)See below for interesting mathematical facts about the number 137135782512 from the Numbermatics database.
Names of 137135782512
- Cardinal: 137135782512 can be written as One hundred thirty-seven billion, one hundred thirty-five million, seven hundred eighty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.37135782512 × 1011
Factors of 137135782512
Divisors of 137135782512
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 269 272 306 324 408 432 459 486 538 612 648 729 807 816 857 918 972 1076 1224 1296 1377 1458 1614 1714 1836 1944 2152 2187 2421 2448 2571 2754 2916 3228 3428 3672 3888 4131 4304 4374 4573 4842 5142 5508 5832 6456 6856 7263 7344 7713 8262 8748 9146 9684 10284 11016 11664 12393 12912 13712 13719 14526 14569 15426 16524 17496 18292 19368 20568 21789 22032 23139 24786 27438 29052 29138 30852 33048 34992 36584 37179 38736 41136 41157 43578 43707 46278 49572 54876 58104 58276 61704 65367 66096 69417 73168 74358 82314 87156 87414 92556 99144 109752 116208 116552 123408 123471 130734 131121 138834 148716 164628 174312 174828 185112 196101 198288 208251 219504 230533 233104 246942 261468 262242 277668 297432 329256 348624 349656 370224 370413 392202 393363 416502 461066 493884 522936 524484 555336 588303 594864 624753 658512 691599 699312 740826 784404 786726 833004 922132 987768 1045872 1048968 1110672 1111239 1176606 1180089 1249506 1383198 1481652 1568808 1573452 1666008 1844264 1874259 1975536 2074797 2097936 2222478 2353212 2360178 2499012 2766396 2963304 3137616 3146904 3332016 3333717 3540267 3688528 3748518 3919061 4149594 4444956 4706424 4720356 4998024 5532792 5926608 6224391 6293808 6667434 7080534 7497036 7838122 8299188 8889912 9412848 9440712 9996048 10001151 10620801 11065584 11757183 12448782 13334868 14161068 14994072 15676244 16598376 17779824 18673173 18881424 20002302 21241602 23514366 24897564 26669736 28322136 29988144 31352488 31862403 33196752 35271549 37346346 40004604 42483204 47028732 49795128 53339472 56019519 56644272 62704976 63724806 70543098 74692692 80009208 84966408 94057464 99590256 105814647 112039038 127449612 141086196 149385384 160018416 168058557 169932816 188114928 211629294 224078076 254899224 282172392 298770768 317443941 336117114 423258588 448156152 504175671 509798448 564344784 634887882 672234228 846517176 896312304 952331823 1008351342 1269775764 1344468456 1693034352 1904663646 2016702684 2539551528 2688936912 2856995469 3809327292 4033405368 5079103056 5713990938 7618654584 8066810736 8570986407 11427981876 15237309168 17141972814 22855963752 34283945628 45711927504 68567891256 137135782512
- Sum of all divisors σ(n): 423993398400
- Sum of proper divisors (its aliquot sum) s(n): 286857615888
- 137135782512 is an abundant number, because the sum of its proper divisors (286857615888) is greater than itself. Its abundance is 149721833376
Bases of 137135782512
- Binary: 11111111011011110110111111010011100002
- Hexadecimal: 0x1FEDEDFA70
- Base-36: 1QZZ3R00
Squares and roots of 137135782512
- 137135782512 squared (1371357825122) is 18806222845178565030144
- 137135782512 cubed (1371357825123) is 2579006085968613541778076308041728
-
The
square root of 137135782512 is 370318.4879424737 -
The
cube root of 137135782512 is 5156.8392811949
Scales and comparisons
How big is 137135782512?- 137,135,782,512 seconds is equal to 4,360 years, 25 weeks, 4 days, 16 hours, 55 minutes, 12 seconds.
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To count from 1 to 137,135,782,512 would take you about eight thousand, seven hundred twenty 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 137135782512 cubic inches would be around 429.7 feet tall.
Recreational maths with 137135782512
- 137135782512 backwards is 215287531731
- The number of decimal digits it has is: 12
- The sum of 137135782512's digits is 45
- More coming soon!
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