135023980416
135,023,980,416 is an even composite number composed of six prime numbers multiplied together.
135023980416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135023980416:
27 × 3 × 132 × 37 × 53 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 37 × 53 × 1061)See below for interesting mathematical facts about the number 135023980416 from the Numbermatics database.
Names of 135023980416
- Cardinal: 135023980416 can be written as One hundred thirty-five billion, twenty-three million, nine hundred eighty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.35023980416 × 1011
Factors of 135023980416
Divisors of 135023980416
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 53 64 74 78 96 104 106 111 128 148 156 159 169 192 208 212 222 296 312 318 338 384 416 424 444 481 507 592 624 636 676 689 832 848 888 962 1014 1061 1184 1248 1272 1352 1378 1443 1664 1696 1776 1924 1961 2028 2067 2122 2368 2496 2544 2704 2756 2886 3183 3392 3552 3848 3922 4056 4134 4244 4736 4992 5088 5408 5512 5772 5883 6253 6366 6784 7104 7696 7844 8112 8268 8488 8957 10176 10816 11024 11544 11766 12506 12732 13793 14208 15392 15688 16224 16536 16976 17914 18759 20352 21632 22048 23088 23532 25012 25464 25493 26871 27586 30784 31376 32448 33072 33952 35828 37518 39257 41379 44096 46176 47064 50024 50928 50986 53742 55172 56233 61568 62752 64896 66144 67904 71656 75036 76479 78514 82758 88192 92352 94128 100048 101856 101972 107484 110344 112466 117771 125504 132288 135808 143312 150072 152958 157028 165516 168699 179309 184704 188256 200096 203712 203944 214968 220688 224932 235542 251008 264576 286624 300144 305916 314056 331032 331409 337398 358618 376512 400192 407424 407888 429936 441376 449864 471084 510341 537927 573248 600288 611832 628112 662064 662818 674796 717236 731029 753024 800384 815776 859872 882752 899728 942168 994227 1020682 1075854 1146496 1200576 1223664 1256224 1324128 1325636 1349592 1434472 1462058 1531023 1631552 1719744 1765504 1799456 1884336 1988454 2041364 2080621 2151708 2193087 2401152 2447328 2512448 2648256 2651272 2699184 2868944 2924116 3062046 3263104 3439488 3598912 3768672 3976908 4082728 4161242 4303416 4386174 4894656 5024896 5296512 5302544 5398368 5737888 5848232 6124092 6241863 6634433 7197824 7537344 7953816 8165456 8322484 8606832 8772348 9503377 9789312 10605088 10796736 11475776 11696464 12248184 12483726 13268866 15074688 15907632 16330912 16644968 17213664 17544696 19006754 19903299 21210176 21593472 22951552 23392928 24496368 24967452 26537732 27048073 28510131 31815264 32661824 33289936 34427328 35089392 38013508 39806598 42420352 46785856 48992736 49934904 53075464 54096146 57020262 63630528 65323648 66579872 68854656 70178784 76027016 79613196 81144219 93571712 97985472 99869808 106150928 108192292 114040524 127261056 133159744 140357568 152054032 159226392 162288438 195970944 199739616 212301856 216384584 228081048 266319488 280715136 304108064 318452784 324576876 351624949 399479232 424603712 432769168 456162096 608216128 636905568 649153752 703249898 798958464 849207424 865538336 912324192 1054874847 1216432256 1273811136 1298307504 1406499796 1731076672 1824648384 2109749694 2547622272 2596615008 2812999592 3462153344 3649296768 4219499388 5193230016 5625999184 8438998776 10386460032 11251998368 16877997552 22503996736 33755995104 45007993472 67511990208 135023980416
- Sum of all divisors σ(n): 406773951840
- Sum of proper divisors (its aliquot sum) s(n): 271749971424
- 135023980416 is an abundant number, because the sum of its proper divisors (271749971424) is greater than itself. Its abundance is 136725991008
Bases of 135023980416
- Binary: 11111011100000000111001101111100000002
- Hexadecimal: 0x1F700E6F80
- Base-36: 1Q11SI2O
Squares and roots of 135023980416
- 135023980416 squared (1350239804162) is 18231475287380351533056
- 135023980416 cubed (1350239804163) is 2461686362158032557342548920631296
-
The
square root of 135023980416 is 367456.0931812127 -
The
cube root of 135023980416 is 5130.2315697101
Scales and comparisons
How big is 135023980416?- 135,023,980,416 seconds is equal to 4,293 years, 17 weeks, 6 days, 13 hours, 13 minutes, 36 seconds.
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To count from 1 to 135,023,980,416 would take you about eight thousand, five hundred eighty-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 135023980416 cubic inches would be around 427.5 feet tall.
Recreational maths with 135023980416
- 135023980416 backwards is 614089320531
- The number of decimal digits it has is: 12
- The sum of 135023980416's digits is 42
- More coming soon!
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