135442519680
135,442,519,680 is an even composite number composed of seven prime numbers multiplied together.
135442519680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 135442519680:
27 × 3 × 5 × 13 × 17 × 37 × 8627
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 37 × 8627)See below for interesting mathematical facts about the number 135442519680 from the Numbermatics database.
Names of 135442519680
- Cardinal: 135442519680 can be written as One hundred thirty-five billion, four hundred forty-two million, five hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3544251968 × 1011
Factors of 135442519680
Divisors of 135442519680
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 37 39 40 48 51 52 60 64 65 68 74 78 80 85 96 102 104 111 120 128 130 136 148 156 160 170 185 192 195 204 208 221 222 240 255 260 272 296 312 320 340 370 384 390 408 416 442 444 480 481 510 520 544 555 592 624 629 640 663 680 740 780 816 832 884 888 960 962 1020 1040 1088 1105 1110 1184 1248 1258 1326 1360 1443 1480 1560 1632 1664 1768 1776 1887 1920 1924 2040 2080 2176 2210 2220 2368 2405 2496 2516 2652 2720 2886 2960 3120 3145 3264 3315 3536 3552 3774 3848 4080 4160 4420 4440 4736 4810 4992 5032 5304 5440 5772 5920 6240 6290 6528 6630 7072 7104 7215 7548 7696 8160 8177 8320 8627 8840 8880 9435 9620 10064 10608 10880 11544 11840 12480 12580 13260 14144 14208 14430 15096 15392 16320 16354 17254 17680 17760 18870 19240 20128 21216 23088 23680 24531 24960 25160 25881 26520 28288 28860 30192 30784 32640 32708 34508 35360 35520 37740 38480 40256 40885 42432 43135 46176 49062 50320 51762 53040 57720 60384 61568 65416 69016 70720 71040 75480 76960 80512 81770 84864 86270 92352 98124 100640 103524 106080 112151 115440 120768 122655 129405 130832 138032 141440 146659 150960 153920 163540 172540 184704 196248 201280 207048 212160 224302 230880 241536 245310 258810 261664 276064 293318 301920 307840 319199 327080 336453 345080 392496 402560 414096 424320 439977 448604 461760 490620 517620 523328 552128 560755 586636 603840 638398 654160 672906 690160 733295 784992 828192 879954 897208 923520 957597 981240 1035240 1046656 1104256 1121510 1173272 1207680 1276796 1308320 1345812 1380320 1466590 1569984 1595995 1656384 1682265 1759908 1794416 1906567 1915194 1962480 2070480 2199885 2243020 2346544 2553592 2616640 2691624 2760640 2933180 3139968 3191990 3312768 3364530 3519816 3588832 3813134 3830388 3924960 4140960 4149587 4399770 4486040 4693088 4787985 5107184 5233280 5383248 5426383 5521280 5719701 5866360 6383980 6729060 7039632 7177664 7626268 7660776 7849920 8281920 8299174 8799540 8972080 9386176 9532835 9575970 10214368 10766496 10852766 11439402 11732720 12448761 12767960 13458120 14079264 14355328 15252536 15321552 15699840 16279149 16563840 16598348 17599080 17944160 18772352 19065670 19151940 20428736 20747935 21532992 21705532 22878804 23465440 24897522 25535920 26916240 27131915 28158528 28598505 30505072 30643104 32558298 33196696 35198160 35888320 38131340 38303880 40857472 41495870 43065984 43411064 45757608 46930880 49795044 51071840 53832480 54263830 56317056 57197010 61010144 61286208 62243805 65116596 66393392 70396320 70542979 71776640 76262680 76607760 81395745 82991740 86822128 91515216 93861760 99590088 102143680 107664960 108527660 114394020 122020288 122572416 124487610 130233192 132786784 140792640 141085958 152525360 153215520 162791490 165983480 173644256 183030432 199180176 204287360 211628937 215329920 217055320 228788040 244040576 248975220 260466384 265573568 281585280 282171916 305050720 306431040 325582980 331966960 347288512 352714895 366060864 398360352 423257874 434110640 457576080 497950440 520932768 531147136 564343832 610101440 612862080 651165960 663933920 694577024 705429790 732121728 796720704 846515748 868221280 915152160 995900880 1041865536 1058144685 1128687664 1220202880 1302331920 1327867840 1410859580 1593441408 1693031496 1736442560 1830304320 1991801760 2083731072 2116289370 2257375328 2604663840 2655735680 2821719160 3386062992 3472885120 3660608640 3983603520 4232578740 4514750656 5209327680 5643438320 6772125984 7967207040 8465157480 9029501312 10418655360 11286876640 13544251968 16930314960 22573753280 27088503936 33860629920 45147506560 67721259840 135442519680
- Sum of all divisors σ(n): 505644975360
- Sum of proper divisors (its aliquot sum) s(n): 370202455680
- 135442519680 is an abundant number, because the sum of its proper divisors (370202455680) is greater than itself. Its abundance is 234759936000
Bases of 135442519680
- Binary: 11111100010010000000011010110100000002
- Hexadecimal: 0x1F8900D680
- Base-36: 1Q7YZ91C
Squares and roots of 135442519680
- 135442519680 squared (1354425196802) is 18344676137267187302400
- 135442519680 cubed (1354425196803) is 2484649158745037397623558111232000
-
The
square root of 135442519680 is 368025.1617484869 -
The
cube root of 135442519680 is 5135.5268971537
Scales and comparisons
How big is 135442519680?- 135,442,519,680 seconds is equal to 4,306 years, 33 weeks, 6 days, 18 hours, 8 minutes.
-
To count from 1 to 135,442,519,680 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 135442519680 cubic inches would be around 428 feet tall.
Recreational maths with 135442519680
- 135442519680 backwards is 086915244531
- 135442519680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135442519680's digits is 48
- More coming soon!
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