135438816128
135,438,816,128 is an even composite number composed of six prime numbers multiplied together.
135438816128 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 135438816128:
27 × 72 × 11 × 17 × 37 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 17 × 37 × 3121)See below for interesting mathematical facts about the number 135438816128 from the Numbermatics database.
Names of 135438816128
- Cardinal: 135438816128 can be written as One hundred thirty-five billion, four hundred thirty-eight million, eight hundred sixteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35438816128 × 1011
Factors of 135438816128
Divisors of 135438816128
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 37 44 49 56 64 68 74 77 88 98 112 119 128 136 148 154 176 187 196 224 238 259 272 296 308 352 374 392 407 448 476 518 539 544 592 616 629 704 748 784 814 833 896 952 1036 1078 1088 1184 1232 1258 1309 1408 1496 1568 1628 1666 1813 1904 2072 2156 2176 2368 2464 2516 2618 2849 2992 3121 3136 3256 3332 3626 3808 4144 4312 4403 4736 4928 5032 5236 5698 5984 6242 6272 6512 6664 6919 7252 7616 8288 8624 8806 9163 9856 10064 10472 11396 11968 12484 13024 13328 13838 14504 15232 16576 17248 17612 18326 19943 20128 20944 21847 22792 23936 24968 26048 26656 27676 29008 30821 33152 34331 34496 35224 36652 39886 40256 41888 43694 45584 48433 49936 52096 53057 53312 55352 58016 61642 68662 68992 70448 73304 79772 80512 83776 87388 91168 96866 99872 106114 106624 110704 115477 116032 123284 137324 140896 146608 152929 159544 167552 174776 182336 193732 199744 212228 221408 230954 232064 240317 246568 274648 281792 293216 305858 319088 339031 349552 364672 371399 387464 399488 424456 442816 461908 480634 493136 549296 563584 583627 586432 611716 638176 678062 699104 742798 774928 808339 848912 885632 923816 961268 986272 1098592 1167254 1172864 1223432 1270247 1276352 1356124 1398208 1485596 1549856 1616678 1682219 1697824 1847632 1922536 1963109 1972544 2197184 2334508 2446864 2540494 2552704 2599793 2712248 2796416 2971192 3099712 3233356 3364438 3395648 3695264 3845072 3926218 3945088 4085389 4394368 4669016 4893728 5080988 5199586 5424496 5658373 5942384 6199424 6466712 6728876 6791296 7390528 7690144 7852436 8170778 8891729 9338032 9787456 10161976 10399172 10848992 11316746 11884768 12933424 13457752 13741763 14781056 15380288 15704872 16341556 17783458 18676064 19574912 20323952 20798344 21594199 21697984 22633492 23769536 25866848 26915504 27483526 28597723 30760576 31409744 32683112 35566916 37352128 40647904 41596688 43188398 43395968 45266984 47539072 51733696 53831008 54967052 57195446 62242103 62819488 65366224 71133832 74704256 81295808 83193376 86376796 90533968 96192341 103467392 107662016 109934104 114390892 124484206 125638976 130732448 142267664 151159393 162591616 166386752 172753592 181067936 192384682 215324032 219868208 228781784 248968412 251277952 261464896 284535328 302318786 332773504 345507184 362135872 384769364 439736416 457563568 497936824 522929792 569070656 604637572 691014368 724271744 769538728 879472832 915127136 995873648 1058115751 1138141312 1209275144 1382028736 1539077456 1758945664 1830254272 1991747296 2116231502 2418550288 2764057472 3078154912 3660508544 3983494592 4232463004 4837100576 6156309824 7966989184 8464926008 9674201152 12312619648 16929852016 19348402304 33859704032 67719408064 135438816128
- Sum of all divisors σ(n): 372464840160
- Sum of proper divisors (its aliquot sum) s(n): 237026024032
- 135438816128 is an abundant number, because the sum of its proper divisors (237026024032) is greater than itself. Its abundance is 101587207904
Bases of 135438816128
- Binary: 11111100010001100100001010011100000002
- Hexadecimal: 0x1F88C85380
- Base-36: 1Q7WRVCW
Squares and roots of 135438816128
- 135438816128 squared (1354388161282) is 18343672914154192912384
- 135438816128 cubed (1354388161283) is 2484445342932303662500617390129152
-
The
square root of 135438816128 is 368020.1300581261 -
The
cube root of 135438816128 is 5135.4800879629
Scales and comparisons
How big is 135438816128?- 135,438,816,128 seconds is equal to 4,306 years, 27 weeks, 5 days, 21 hours, 22 minutes, 8 seconds.
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To count from 1 to 135,438,816,128 would take you about eight thousand, six hundred thirteen 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 135438816128 cubic inches would be around 428 feet tall.
Recreational maths with 135438816128
- 135438816128 backwards is 821618834531
- The number of decimal digits it has is: 12
- The sum of 135438816128's digits is 50
- More coming soon!
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