135142588416
135,142,588,416 is an even composite number composed of five prime numbers multiplied together.
135142588416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 135142588416:
214 × 3 × 112 × 31 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 31 × 733)See below for interesting mathematical facts about the number 135142588416 from the Numbermatics database.
Names of 135142588416
- Cardinal: 135142588416 can be written as One hundred thirty-five billion, one hundred forty-two million, five hundred eighty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.35142588416 × 1011
Factors of 135142588416
Divisors of 135142588416
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 121 124 128 132 176 186 192 242 248 256 264 341 352 363 372 384 484 496 512 528 682 704 726 733 744 768 968 992 1023 1024 1056 1364 1408 1452 1466 1488 1536 1936 1984 2046 2048 2112 2199 2728 2816 2904 2932 2976 3072 3751 3872 3968 4092 4096 4224 4398 5456 5632 5808 5864 5952 6144 7502 7744 7936 8063 8184 8192 8448 8796 10912 11253 11264 11616 11728 11904 12288 15004 15488 15872 16126 16368 16384 16896 17592 21824 22506 22528 22723 23232 23456 23808 24189 24576 30008 30976 31744 32252 32736 33792 35184 43648 45012 45056 45446 46464 46912 47616 48378 49152 60016 61952 63488 64504 65472 67584 68169 70368 87296 88693 90024 90112 90892 92928 93824 95232 96756 120032 123904 126976 129008 130944 135168 136338 140736 174592 177386 180048 180224 181784 185856 187648 190464 193512 240064 247808 249953 253952 258016 261888 266079 270336 272676 281472 349184 354772 360096 363568 371712 375296 380928 387024 480128 495616 499906 507904 516032 523776 532158 540672 545352 562944 698368 709544 720192 727136 743424 749859 750592 761856 774048 960256 991232 999812 1032064 1047552 1064316 1090704 1125888 1396736 1419088 1440384 1454272 1486848 1499718 1501184 1523712 1548096 1920512 1982464 1999624 2064128 2095104 2128632 2181408 2251776 2749483 2793472 2838176 2880768 2908544 2973696 2999436 3002368 3096192 3841024 3999248 4128256 4190208 4257264 4362816 4503552 5498966 5586944 5676352 5761536 5817088 5947392 5998872 6004736 6192384 7682048 7998496 8248449 8256512 8380416 8514528 8725632 9007104 10997932 11352704 11523072 11634176 11997744 12009472 12384768 15364096 15996992 16496898 16513024 16760832 17029056 17451264 18014208 21995864 22705408 23046144 23268352 23995488 24769536 30728192 31993984 32993796 33026048 34058112 34902528 36028416 43991728 45410816 46092288 46536704 47990976 49539072 61456384 63987968 65987592 66052096 68116224 69805056 87983456 90821632 92184576 93073408 95981952 99078144 127975936 131975184 132104192 136232448 139610112 175966912 181643264 184369152 186146816 191963904 198156288 255951872 263950368 272464896 279220224 351933824 363286528 372293632 383927808 396312576 511903744 527900736 544929792 558440448 703867648 726573056 767855616 1023807488 1055801472 1089859584 1116880896 1407735296 1453146112 1535711232 2047614976 2111602944 2179719168 2815470592 3071422464 4095229952 4223205888 4359438336 5630941184 6142844928 8446411776 11261882368 12285689856 16892823552 22523764736 33785647104 45047529472 67571294208 135142588416
- Sum of all divisors σ(n): 409443849472
- Sum of proper divisors (its aliquot sum) s(n): 274301261056
- 135142588416 is an abundant number, because the sum of its proper divisors (274301261056) is greater than itself. Its abundance is 139158672640
Bases of 135142588416
- Binary: 11111011101110010000001000000000000002
- Hexadecimal: 0x1F77204000
- Base-36: 1Q30EOLC
Squares and roots of 135142588416
- 135142588416 squared (1351425884162) is 18263519203776377389056
- 135142588416 cubed (1351425884163) is 2468179258783663002392683710775296
-
The
square root of 135142588416 is 367617.4484651129 -
The
cube root of 135142588416 is 5131.7332990613
Scales and comparisons
How big is 135142588416?- 135,142,588,416 seconds is equal to 4,297 years, 6 weeks, 7 hours, 53 minutes, 36 seconds.
-
To count from 1 to 135,142,588,416 would take you about eight thousand, five hundred ninety-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 135142588416 cubic inches would be around 427.6 feet tall.
Recreational maths with 135142588416
- 135142588416 backwards is 614885241531
- 135142588416 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135142588416's digits is 48
- More coming soon!
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