135305888640
135,305,888,640 is an even composite number composed of seven prime numbers multiplied together.
135305888640 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 135305888640:
27 × 3 × 5 × 132 × 17 × 19 × 1291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 17 × 19 × 1291)See below for interesting mathematical facts about the number 135305888640 from the Numbermatics database.
Names of 135305888640
- Cardinal: 135305888640 can be written as One hundred thirty-five billion, three hundred five million, eight hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3530588864 × 1011
Factors of 135305888640
Divisors of 135305888640
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 19 20 24 26 30 32 34 38 39 40 48 51 52 57 60 64 65 68 76 78 80 85 95 96 102 104 114 120 128 130 136 152 156 160 169 170 190 192 195 204 208 221 228 240 247 255 260 272 285 304 312 320 323 338 340 380 384 390 408 416 442 456 480 494 507 510 520 544 570 608 624 640 646 663 676 680 741 760 780 816 832 845 884 912 960 969 988 1014 1020 1040 1088 1105 1140 1216 1235 1248 1291 1292 1326 1352 1360 1482 1520 1560 1615 1632 1664 1690 1768 1824 1920 1938 1976 2028 2040 2080 2176 2210 2280 2432 2470 2496 2535 2582 2584 2652 2704 2720 2873 2964 3040 3120 3211 3230 3264 3315 3380 3536 3648 3705 3873 3876 3952 4056 4080 4160 4199 4420 4560 4845 4940 4992 5070 5164 5168 5304 5408 5440 5746 5928 6080 6240 6422 6455 6460 6528 6630 6760 7072 7296 7410 7746 7752 7904 8112 8160 8320 8398 8619 8840 9120 9633 9690 9880 10140 10328 10336 10608 10816 10880 11492 11856 12160 12480 12597 12844 12910 12920 13260 13520 14144 14365 14820 15492 15504 15808 16055 16224 16320 16783 16796 17238 17680 18240 19266 19365 19380 19760 20280 20656 20672 20995 21216 21632 21947 22984 23712 24529 24960 25194 25688 25820 25840 26520 27040 28288 28730 29640 30984 31008 31616 32110 32448 32640 33566 33592 34476 35360 36480 38532 38730 38760 39520 40560 41312 41344 41990 42432 43095 43894 45968 47424 48165 49058 50349 50388 51376 51640 51680 53040 54080 54587 57460 59280 61968 62016 62985 64220 64896 65841 67132 67184 68952 70720 73587 77064 77460 77520 79040 81120 82624 83915 83980 84864 86190 87788 91936 94848 96330 98116 100698 100776 102752 103280 103360 106080 108160 109174 109735 114920 118560 122645 123936 124032 125970 128440 131682 134264 134368 137904 141440 147174 154128 154920 155040 158080 162240 163761 165248 167830 167960 172380 175576 183872 192660 196232 201396 201552 205504 206560 206720 212160 218179 218348 219470 229840 237120 245290 247872 251745 251940 256880 263364 268528 268736 272935 275808 285311 294348 308256 309840 310080 318877 324480 327522 329205 335660 335920 344760 351152 367744 367935 385320 392464 402792 403104 411008 413120 416993 424320 436358 436696 438940 459680 474240 490580 495744 503490 503880 513760 526728 537056 537472 545870 551616 570622 588696 616512 619680 620160 637754 654537 655044 658410 671320 671840 689520 702304 735870 770640 784928 805584 806208 818805 826240 833986 855933 872716 873392 877880 919360 956631 981160 1006980 1007760 1027520 1053456 1074112 1090895 1091740 1103232 1141244 1177392 1233024 1239360 1250979 1275508 1309074 1310088 1316820 1342640 1343680 1379040 1404608 1426555 1471740 1541280 1569856 1594385 1611168 1612416 1637610 1667972 1711866 1745432 1746784 1755760 1838720 1913262 1962320 2013960 2015520 2055040 2084965 2106912 2148224 2181790 2183480 2282488 2354784 2478720 2501958 2551016 2618148 2620176 2633640 2685280 2687360 2758080 2809216 2853110 2943480 3082560 3139712 3188770 3222336 3272685 3275220 3335944 3423732 3490864 3493568 3511520 3709043 3826524 3924640 4027920 4031040 4145401 4169930 4213824 4279665 4363580 4366960 4564976 4709568 4783155 5003916 5102032 5236296 5240352 5267280 5370560 5420909 5516160 5706220 5886960 6165120 6254895 6377540 6444672 6545370 6550440 6671888 6847464 6981728 6987136 7023040 7418086 7653048 7849280 8055840 8062080 8290802 8339860 8427648 8559330 8727160 8733920 9129952 9419136 9566310 10007832 10204064 10472592 10480704 10534560 10741120 10841818 11127129 11412440 11773920 12436203 12509790 12755080 13090740 13100880 13343776 13694928 13963456 14046080 14836172 15306096 15698560 16111680 16262727 16581604 16679720 17118660 17454320 17467840 18259904 18545215 19132620 20015664 20408128 20727005 20945184 20961408 21069120 21683636 22254258 22824880 23547840 24872406 25019580 25510160 26181480 26201760 26687552 27104545 27389856 27926912 29672344 30612192 32223360 32525454 33163208 33359440 34237320 34908640 34935680 36519808 37090430 38265240 40031328 40816256 41454010 41890368 42138240 43367272 44508516 45649760 47095680 49744812 50039160 51020320 52362960 52403520 53375104 54209090 54779712 55635645 59344688 61224384 62181015 65050908 66326416 66718880 68474640 69817280 70471817 74180860 76530480 80062656 81313635 82908020 83780736 86734544 89017032 91299520 99489624 100078320 102040640 104725920 104807040 108418180 109559424 111271290 118689376 122448768 124362030 130101816 132652832 133437760 136949280 139634560 140943634 148361720 153060960 160125312 162627270 165816040 173469088 178034064 182599040 198979248 200156640 204081280 209451840 211415451 216836360 222542580 237378752 248724060 260203632 265305664 266875520 273898560 281887268 296723440 306121920 325254540 331632080 346938176 352359085 356068128 397958496 400313280 418903680 422830902 433672720 445085160 474757504 497448120 520407264 530611328 547797120 563774536 593446880 612243840 650509080 663264160 693876352 704718170 712136256 795916992 800626560 845661804 867345440 890170320 994896240 1040814528 1057077255 1127549072 1186893760 1301018160 1326528320 1409436340 1424272512 1591833984 1691323608 1734690880 1780340640 1989792480 2081629056 2114154510 2255098144 2373787520 2602036320 2653056640 2818872680 3382647216 3469381760 3560681280 3979584960 4228309020 4510196288 5204072640 5637745360 6765294432 7121362560 7959169920 8456618040 9020392576 10408145280 11275490720 13530588864 16913236080 22550981440 27061177728 33826472160 45101962880 67652944320 135305888640
- Sum of all divisors σ(n): 520915795200
- Sum of proper divisors (its aliquot sum) s(n): 385609906560
- 135305888640 is an abundant number, because the sum of its proper divisors (385609906560) is greater than itself. Its abundance is 250304017920
Bases of 135305888640
- Binary: 11111100000001101110000000011100000002
- Hexadecimal: 0x1F80DC0380
- Base-36: 1Q5PMRUO
Squares and roots of 135305888640
- 135305888640 squared (1353058886402) is 18307683500660081049600
- 135305888640 cubed (1353058886403) is 2477137384996678292990551916544000
-
The
square root of 135305888640 is 367839.4876029487 -
The
cube root of 135305888640 is 5133.7994522861
Scales and comparisons
How big is 135305888640?- 135,305,888,640 seconds is equal to 4,302 years, 16 weeks, 9 hours, 4 minutes.
-
To count from 1 to 135,305,888,640 would take you about eight thousand, six hundred 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 135305888640 cubic inches would be around 427.8 feet tall.
Recreational maths with 135305888640
- 135305888640 backwards is 046888503531
- 135305888640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135305888640's digits is 51
- More coming soon!
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