135407216448
135,407,216,448 is an even composite number composed of six prime numbers multiplied together.
135407216448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 135407216448:
26 × 32 × 7 × 73 × 521 × 883
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 73 × 521 × 883)See below for interesting mathematical facts about the number 135407216448 from the Numbermatics database.
Names of 135407216448
- Cardinal: 135407216448 can be written as One hundred thirty-five billion, four hundred seven million, two hundred sixteen thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.35407216448 × 1011
Factors of 135407216448
Divisors of 135407216448
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 73 84 96 112 126 144 146 168 192 219 224 252 288 292 336 438 448 504 511 521 576 584 657 672 876 883 1008 1022 1042 1168 1314 1344 1533 1563 1752 1766 2016 2044 2084 2336 2628 2649 3066 3126 3504 3532 3647 4032 4088 4168 4599 4672 4689 5256 5298 6132 6181 6252 7008 7064 7294 7947 8176 8336 9198 9378 10512 10596 10941 12264 12362 12504 14016 14128 14588 15894 16352 16672 18396 18543 18756 21024 21192 21882 24528 24724 25008 28256 29176 31788 32704 32823 33344 36792 37086 37512 38033 42048 42384 43764 49056 49448 50016 55629 56512 58352 63576 64459 65646 73584 74172 75024 76066 84768 87528 98112 98896 100032 111258 114099 116704 127152 128918 131292 147168 148344 150048 152132 169536 175056 193377 197792 222516 228198 233408 254304 257836 262584 266231 294336 296688 300096 304264 342297 350112 386754 395584 445032 451213 456396 460043 508608 515672 525168 532462 580131 593376 608528 684594 700224 773508 798693 890064 902426 912792 920086 1031344 1050336 1064924 1160262 1186752 1217056 1353639 1369188 1380129 1547016 1597386 1780128 1804852 1825584 1840172 2062688 2100672 2129848 2320524 2396079 2434112 2707278 2738376 2760258 3094032 3194772 3220301 3560256 3609704 3651168 3680344 4060917 4125376 4140387 4259696 4641048 4792158 5414556 5476752 5520516 6188064 6389544 6440602 7219408 7302336 7360688 8121834 8280774 8519392 9282096 9584316 9660903 10829112 10953504 11041032 12376128 12779088 12881204 14438816 14721376 16243668 16561548 17038784 18564192 19168632 19321806 21658224 21907008 22082064 25558176 25762408 28877632 28982709 29442752 32487336 33123096 33583139 37128384 38337264 38643612 43316448 44164128 51116352 51524816 57965418 64974672 66246192 67166278 76674528 77287224 86632896 88328256 100749417 103049632 115930836 129949344 132492384 134332556 153349056 154574448 201498834 206099264 231861672 235081973 259898688 264984768 268665112 302248251 309148896 402997668 463723344 470163946 537330224 604496502 618297792 705245919 805995336 927446688 940327892 1074660448 1208993004 1410491838 1611990672 1854893376 1880655784 2115737757 2149320896 2417986008 2820983676 3223981344 3761311568 4231475514 4835972016 5641967352 6447962688 7522623136 8462951028 9671944032 11283934704 15045246272 16925902056 19343888064 22567869408 33851804112 45135738816 67703608224 135407216448
- Sum of all divisors σ(n): 451015583616
- Sum of proper divisors (its aliquot sum) s(n): 315608367168
- 135407216448 is an abundant number, because the sum of its proper divisors (315608367168) is greater than itself. Its abundance is 180201150720
Bases of 135407216448
- Binary: 11111100001101110011000100111010000002
- Hexadecimal: 0x1F86E62740
- Base-36: 1Q7DYKW0
Squares and roots of 135407216448
- 135407216448 squared (1354072164482) is 18335114266195521736704
- 135407216448 cubed (1354072164483) is 2482706786041549701290167394107392
-
The
square root of 135407216448 is 367977.1955542899 -
The
cube root of 135407216448 is 5135.0806649261
Scales and comparisons
How big is 135407216448?- 135,407,216,448 seconds is equal to 4,305 years, 27 weeks, 4 days, 3 hours, 40 minutes, 48 seconds.
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To count from 1 to 135,407,216,448 would take you about eight thousand, six hundred eleven 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 135407216448 cubic inches would be around 427.9 feet tall.
Recreational maths with 135407216448
- 135407216448 backwards is 844612704531
- The number of decimal digits it has is: 12
- The sum of 135407216448's digits is 45
- More coming soon!
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