135352414080
135,352,414,080 is an even composite number composed of seven prime numbers multiplied together.
135352414080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135352414080:
27 × 32 × 5 × 13 × 43 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 43 × 127 × 331)See below for interesting mathematical facts about the number 135352414080 from the Numbermatics database.
Names of 135352414080
- Cardinal: 135352414080 can be written as One hundred thirty-five billion, three hundred fifty-two million, four hundred fourteen thousand and eighty.
Scientific notation
- Scientific notation: 1.3535241408 × 1011
Factors of 135352414080
Divisors of 135352414080
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 43 45 48 52 60 64 65 72 78 80 86 90 96 104 117 120 127 128 129 130 144 156 160 172 180 192 195 208 215 234 240 254 258 260 288 312 320 331 344 360 381 384 387 390 416 430 468 480 508 516 520 559 576 585 624 635 640 645 662 688 720 762 774 780 832 860 936 960 993 1016 1032 1040 1118 1143 1152 1170 1248 1270 1290 1324 1376 1440 1524 1548 1560 1651 1655 1664 1677 1720 1872 1905 1920 1935 1986 2032 2064 2080 2236 2286 2340 2496 2540 2580 2648 2752 2795 2880 2979 3048 3096 3120 3302 3310 3354 3440 3744 3810 3870 3972 4064 4128 4160 4303 4472 4572 4680 4953 4965 4992 5031 5080 5160 5296 5461 5504 5590 5715 5760 5958 6096 6192 6240 6604 6620 6708 6880 7488 7620 7740 7944 8128 8255 8256 8320 8385 8606 8944 9144 9360 9906 9930 10062 10160 10320 10592 10922 11180 11430 11916 12192 12384 12480 12909 13208 13240 13416 13760 14233 14859 14895 14976 15240 15480 15888 16256 16383 16510 16512 16770 17212 17888 18288 18720 19812 19860 20124 20320 20640 21184 21515 21844 22360 22860 23832 24384 24765 24768 24960 25155 25818 26416 26480 26832 27305 27520 28466 29718 29790 30480 30960 31776 32766 33020 33540 34424 35776 36576 37440 38727 39624 39720 40248 40640 41280 42037 42368 42699 43030 43688 44720 45720 47664 48768 49149 49530 49536 50310 51636 52832 52960 53664 54610 56932 59436 59580 60960 61920 63552 64545 65532 66040 67080 68848 70993 71165 71552 73152 74295 74880 77454 79248 79440 80496 81280 81915 82560 84074 85398 86060 87376 89440 91440 95328 98298 99060 100620 103272 105664 105920 107328 109220 113864 118872 119160 121920 123840 126111 127104 128097 129090 131064 132080 134160 137696 141986 142330 146304 148590 154908 158496 158880 160992 163830 168148 170796 172120 174752 178880 182880 185029 190656 193635 196596 198120 201240 206544 210185 211328 211840 212979 213495 214656 218440 227728 237744 238320 243840 245745 247680 252222 256194 258180 262128 264160 268320 275392 283972 284660 297180 309816 316992 317760 321984 327660 336296 341592 344240 349504 354965 357760 365760 370058 378333 381312 387270 393192 396240 402480 413088 420370 425958 426990 436880 455456 475488 476640 491490 504444 512388 516360 524256 528320 536640 546481 550784 555087 567944 569320 594360 619632 630555 633984 635520 638937 640485 643968 655320 672592 683184 688480 699008 709930 731520 740116 756666 774540 786384 792480 804960 826176 840740 851916 853980 873760 910912 925145 950976 953280 982980 1008888 1024776 1032720 1048512 1056640 1064895 1073280 1092962 1110174 1135888 1138640 1188720 1239264 1261110 1277874 1280970 1310640 1345184 1366368 1376960 1419860 1480232 1513332 1549080 1572768 1584960 1609920 1639443 1652352 1665261 1681480 1703832 1707960 1747520 1807591 1821824 1850290 1891665 1901952 1906560 1965960 2017776 2049552 2065440 2097024 2129790 2185924 2220348 2271776 2277280 2377440 2478528 2522220 2555748 2561940 2621280 2690368 2732405 2732736 2753920 2775435 2839720 2960464 3026664 3098160 3145536 3169920 3194685 3219840 3278886 3330522 3362960 3407664 3415920 3495040 3615182 3700580 3783330 3931920 4035552 4099104 4130880 4259580 4371848 4440696 4543552 4554560 4754880 4918329 4957056 5044440 5111496 5123880 5242560 5380736 5422773 5464810 5465472 5550870 5679440 5920928 6053328 6196320 6291072 6389370 6557772 6661044 6725920 6815328 6831840 7230364 7401160 7566660 7863840 8071104 8197215 8198208 8261760 8326305 8519160 8743696 8881392 9037955 9087104 9109120 9509760 9836658 10088880 10222992 10247760 10485120 10845546 10929620 11101740 11358880 11841856 12106656 12392640 12778740 13115544 13322088 13451840 13630656 13663680 14460728 14802320 15133320 15727680 16142208 16268319 16394430 16396416 16652610 17038320 17487392 17762784 18075910 19673316 20177760 20445984 20495520 21691092 21859240 22203480 22717760 23498683 23683712 24213312 24591645 24785280 25557480 26231088 26644176 26903680 27113865 27261312 27327360 28921456 29604640 30266640 31455360 32536638 32788860 33305220 34076640 34974784 35525568 36151820 39346632 40355520 40891968 40991040 43382184 43718480 44406960 45435520 46997366 48426624 49183290 51114960 52462176 53288352 54227730 57842912 59209280 60533280 65073276 65577720 66610440 68153280 69949568 70496049 71051136 72303640 78693264 80711040 81341595 81783936 81982080 86764368 87436960 88813920 93994732 98366580 102229920 104924352 106576704 108455460 115685824 117493415 118418560 121066560 130146552 131155440 133220880 136306560 140992098 144607280 157386528 162683190 173528736 174873920 177627840 187989464 196733160 204459840 209848704 211488147 213153408 216910920 231371648 234986830 242133120 260293104 262310880 266441760 281984196 289214560 314773056 325366380 347057472 349747840 352480245 355255680 375978928 393466320 408919680 422976294 433821840 469973660 520586208 524621760 532883520 563968392 578429120 629546112 650732760 694114944 704960490 751957856 786932640 845952588 867643680 939947320 1041172416 1049243520 1057440735 1065767040 1127936784 1156858240 1301465520 1409920980 1503915712 1573865280 1691905176 1735287360 1879894640 2082344832 2114881470 2255873568 2602931040 2819841960 3007831424 3147730560 3383810352 3470574720 3759789280 4229762940 4511747136 5205862080 5639683920 6767620704 7519578560 8459525880 9023494272 10411724160 11279367840 13535241408 15039157120 16919051760 22558735680 27070482816 33838103520 45117471360 67676207040 135352414080
- Sum of all divisors σ(n): 520671191040
- Sum of proper divisors (its aliquot sum) s(n): 385318776960
- 135352414080 is an abundant number, because the sum of its proper divisors (385318776960) is greater than itself. Its abundance is 249966362880
Bases of 135352414080
- Binary: 11111100000111010000111101111100000002
- Hexadecimal: 0x1F83A1EF80
- Base-36: 1Q6HBZ40
Squares and roots of 135352414080
- 135352414080 squared (1353524140802) is 18320275997283782246400
- 135352414080 cubed (1353524140803) is 2479693582844239449883285389312000
-
The
square root of 135352414080 is 367902.7236648297 -
The
cube root of 135352414080 is 5134.3878102881
Scales and comparisons
How big is 135352414080?- 135,352,414,080 seconds is equal to 4,303 years, 40 weeks, 6 days, 20 hours, 48 minutes.
-
To count from 1 to 135,352,414,080 would take you about eight thousand, six hundred seven 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 135352414080 cubic inches would be around 427.9 feet tall.
Recreational maths with 135352414080
- 135352414080 backwards is 080414253531
- 135352414080 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135352414080's digits is 36
- More coming soon!
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