137220788224
137,220,788,224 is an even composite number composed of five prime numbers multiplied together.
137220788224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 137220788224:
212 × 13 × 172 × 37 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 17 × 37 × 241)See below for interesting mathematical facts about the number 137220788224 from the Numbermatics database.
Names of 137220788224
- Cardinal: 137220788224 can be written as One hundred thirty-seven billion, two hundred twenty million, seven hundred eighty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37220788224 × 1011
Factors of 137220788224
Divisors of 137220788224
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 37 52 64 68 74 104 128 136 148 208 221 241 256 272 289 296 416 442 481 482 512 544 578 592 629 832 884 962 964 1024 1088 1156 1184 1258 1664 1768 1924 1928 2048 2176 2312 2368 2516 3133 3328 3536 3757 3848 3856 4096 4097 4352 4624 4736 5032 6266 6656 7072 7514 7696 7712 8177 8194 8704 8917 9248 9472 10064 10693 12532 13312 14144 15028 15392 15424 16354 16388 17408 17834 18496 18944 20128 21386 25064 26624 28288 30056 30784 30848 32708 32776 34816 35668 36992 37888 40256 42772 50128 53248 53261 56576 60112 61568 61696 65416 65552 69632 69649 71336 73984 75776 80512 85544 100256 106522 113152 115921 120224 123136 123392 130832 131104 139009 139298 142672 147968 151552 151589 161024 171088 200512 213044 226304 231842 240448 246272 246784 261664 262208 278018 278596 285344 295936 303178 322048 342176 401024 426088 452608 463684 480896 492544 493568 523328 524416 556036 557192 570688 591872 606356 644096 684352 802048 852176 905216 905437 927368 961792 985088 987136 1046656 1048832 1112072 1114384 1141376 1183744 1212712 1288192 1368704 1604096 1704352 1810874 1854736 1923584 1970176 1970657 2093312 2097664 2224144 2228768 2282752 2425424 2576384 2577013 2737408 3208192 3408704 3621748 3709472 3847168 3941314 4186624 4195328 4448288 4457536 4565504 4850848 5154026 5474816 6416384 6817408 7243496 7418944 7694336 7882628 8373248 8390656 8896576 8915072 9131008 9701696 10308052 10949632 12832768 13634816 14486992 14837888 15388672 15765256 16746496 16781312 17793152 17830144 18262016 19403392 20616104 21899264 27269632 28973984 29675776 31530512 33492992 33501169 35586304 35660288 36524032 38806784 41232208 43798528 54539264 57947968 59351552 63061024 67002338 71172608 71320576 77613568 82464416 109078528 115895936 118703104 126122048 134004676 142345216 142641152 155227136 164928832 218157056 231791872 237406208 252244096 268009352 284690432 285282304 310454272 329857664 463583744 474812416 504488192 536018704 569380864 620908544 659715328 927167488 1008976384 1072037408 1319430656 1854334976 2017952768 2144074816 2638861312 3708669952 4035905536 4288149632 5277722624 8071811072 8576299264 10555445248 17152598528 34305197056 68610394112 137220788224
- Sum of all divisors σ(n): 323744425928
- Sum of proper divisors (its aliquot sum) s(n): 186523637704
- 137220788224 is an abundant number, because the sum of its proper divisors (186523637704) is greater than itself. Its abundance is 49302849480
Bases of 137220788224
- Binary: 11111111100101111111100010000000000002
- Hexadecimal: 0x1FF2FF1000
- Base-36: 1R1DPPTS
Squares and roots of 137220788224
- 137220788224 squared (1372207882242) is 18829544720815857074176
- 137220788224 cubed (1372207882243) is 2583804968489409928076557155303424
-
The
square root of 137220788224 is 370433.2439509175 -
The
cube root of 137220788224 is 5157.9045763427
Scales and comparisons
How big is 137220788224?- 137,220,788,224 seconds is equal to 4,363 years, 10 weeks, 1 day, 13 hours, 37 minutes, 4 seconds.
-
To count from 1 to 137,220,788,224 would take you about eight thousand, seven hundred twenty-six 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 137220788224 cubic inches would be around 429.8 feet tall.
Recreational maths with 137220788224
- 137220788224 backwards is 422887022731
- The number of decimal digits it has is: 12
- The sum of 137220788224's digits is 46
- More coming soon!
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