135462993120
135,462,993,120 is an even composite number composed of seven prime numbers multiplied together.
135462993120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135462993120:
25 × 32 × 5 × 73 × 13 × 172 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 17 × 17 × 73)See below for interesting mathematical facts about the number 135462993120 from the Numbermatics database.
Names of 135462993120
- Cardinal: 135462993120 can be written as One hundred thirty-five billion, four hundred sixty-two million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3546299312 × 1011
Factors of 135462993120
Divisors of 135462993120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 28 30 32 34 35 36 39 40 42 45 48 49 51 52 56 60 63 65 68 70 72 73 78 80 84 85 90 91 96 98 102 104 105 112 117 119 120 126 130 136 140 144 146 147 153 156 160 168 170 180 182 195 196 204 208 210 219 221 224 234 238 240 245 252 255 260 272 273 280 288 289 292 294 306 312 315 336 340 343 357 360 364 365 390 392 408 416 420 438 441 442 455 468 476 480 490 504 510 511 520 544 546 560 578 584 585 588 595 612 624 630 637 657 663 672 680 686 714 720 728 730 735 765 780 784 816 819 833 840 867 876 882 884 910 936 949 952 980 1008 1020 1022 1029 1040 1071 1092 1095 1105 1120 1156 1168 1170 1176 1190 1224 1241 1248 1260 1274 1314 1326 1360 1365 1372 1428 1440 1445 1456 1460 1470 1530 1533 1547 1560 1568 1632 1638 1666 1680 1715 1734 1752 1764 1768 1785 1820 1872 1898 1904 1911 1960 1989 2016 2023 2040 2044 2058 2080 2142 2184 2190 2205 2210 2312 2336 2340 2352 2380 2448 2482 2499 2520 2548 2555 2601 2628 2652 2720 2730 2744 2847 2856 2890 2912 2920 2940 3060 3066 3087 3094 3120 3185 3276 3285 3315 3332 3360 3430 3468 3504 3528 3536 3570 3577 3640 3723 3744 3757 3796 3808 3822 3920 3978 4046 4080 4088 4095 4116 4165 4284 4335 4368 4380 4410 4420 4459 4599 4624 4641 4680 4704 4745 4760 4896 4964 4998 5040 5096 5110 5145 5202 5256 5304 5355 5460 5488 5694 5712 5733 5780 5831 5840 5880 6069 6120 6132 6174 6188 6205 6240 6370 6552 6570 6630 6643 6664 6860 6936 7008 7056 7072 7140 7154 7280 7446 7497 7514 7592 7644 7665 7735 7840 7956 8092 8160 8176 8190 8232 8330 8541 8568 8670 8687 8736 8760 8820 8840 8918 9198 9248 9282 9360 9490 9520 9555 9928 9945 9996 10080 10115 10192 10220 10290 10404 10512 10608 10710 10731 10829 10920 10976 11169 11271 11388 11424 11466 11560 11662 11680 11760 12138 12240 12264 12348 12376 12410 12495 12740 13005 13104 13140 13260 13286 13328 13377 13720 13872 13923 14112 14161 14235 14280 14308 14560 14892 14994 15028 15184 15288 15330 15435 15470 15912 16133 16184 16352 16380 16464 16660 17082 17136 17340 17374 17493 17520 17640 17680 17836 17885 18207 18396 18564 18615 18720 18785 18980 19040 19110 19856 19890 19929 19992 20230 20384 20440 20580 20808 21024 21097 21216 21420 21462 21658 21840 22295 22338 22542 22776 22932 22995 23120 23205 23324 23520 24276 24480 24528 24696 24752 24820 24990 25039 25480 26010 26061 26208 26280 26299 26520 26572 26656 26754 27440 27744 27846 28322 28470 28560 28616 28665 29155 29784 29988 30056 30345 30368 30576 30660 30870 30940 31824 32193 32266 32368 32487 32760 32928 33215 33320 33813 34164 34272 34680 34748 34986 35040 35280 35360 35672 35770 36414 36792 37128 37230 37485 37570 37960 38220 39712 39780 39858 39984 40131 40460 40880 41160 41616 42194 42483 42705 42840 42924 43316 43435 43680 44590 44676 45084 45552 45864 45990 46240 46410 46501 46648 48399 48552 49056 49392 49504 49640 49980 50078 50960 52020 52122 52479 52560 52598 53040 53144 53508 53655 54145 54880 55692 55845 56355 56644 56940 57120 57232 57330 58310 59568 59787 59976 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63241360 65126439 65822640 66273480 66403428 66961440 67193945 68106080 69113772 70885920 71146530 71371440 72362710 74430216 75889632 76619340 76793080 77319060 78121680 78987168 80632734 81310320 82700240 83004285 86392215 86835252 87564960 88364640 88537904 92151696 92782872 93037770 93746016 94071523 94862040 98733960 99240288 99605142 102159120 103092080 106328880 107510312 108544065 109156320 110672380 113834448 115189620 115780336 115978590 117182520 120949101 122590944 123710496 124050360 126482720 130252878 131645280 132546960 132806856 134387890 138227544 142293060 142742880 144725420 148860432 153238680 153586160 154638120 156243360 161265468 162620640 165400480 166008570 172784430 173670504 177075808 184303392 185565744 186075540 188143046 189724080 197467920 199210284 201581835 204318240 206184160 212657760 215020624 217088130 221344760 227668896 230379240 231560672 231957180 234365040 241898202 248100720 249012855 260505756 265093920 265613712 268775780 276455088 282214569 284586120 289450840 297720864 306477360 307172320 309276240 322530936 325632195 332017140 345568860 347341008 371131488 372151080 376286092 379448160 394935840 398420568 403163670 430041248 434176260 442689520 460758480 463914360 468730080 470357615 483796404 496201440 498025710 521011512 531227424 537551560 552910176 564429138 569172240 578901680 604745505 612954720 618552480 645061872 651264390 664034280 691137720 694682016 744302160 752572184 796841136 806327340 846643707 868352520 885379040 921516960 927828720 940715230 967592808 996051420 1042023024 1075103120 1128858276 1138344480 1157803360 1209491010 1290123744 1302528780 1328068560 1382275440 1411072845 1488604320 1505144368 1593682272 1612654680 1693287414 1736705040 1855657440 1881430460 1935185616 1992102840 2084046048 2150206240 2257716552 2418982020 2605057560 2656137120 2764550880 2822145690 3010288736 3225309360 3386574828 3473410080 3762860920 3870371232 3984205680 4233218535 4515433104 4837964040 5210115120 5644291380 6450618720 6773149656 7525721840 7968411360 8466437070 9030866208 9675928080 10420230240 11288582760 13546299312 15051443680 16932874140 19351856160 22577165520 27092598624 33865748280 45154331040 67731496560 135462993120
- Sum of all divisors σ(n): 625163011200
- Sum of proper divisors (its aliquot sum) s(n): 489700018080
- 135462993120 is an abundant number, because the sum of its proper divisors (489700018080) is greater than itself. Its abundance is 354237024960
Bases of 135462993120
- Binary: 11111100010100011100100111100111000002
- Hexadecimal: 0x1F8A393CE0
- Base-36: 1Q8B62G0
Squares and roots of 135462993120
- 135462993120 squared (1354629931202) is 18350222505029167334400
- 135462993120 cubed (1354629931203) is 2485776064949235260019155939328000
-
The
square root of 135462993120 is 368052.9759694927 -
The
cube root of 135462993120 is 5135.7856455505
Scales and comparisons
How big is 135462993120?- 135,462,993,120 seconds is equal to 4,307 years, 15 weeks, 5 days, 17 hours, 12 minutes.
-
To count from 1 to 135,462,993,120 would take you about eight thousand, six hundred fourteen 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 135462993120 cubic inches would be around 428 feet tall.
Recreational maths with 135462993120
- 135462993120 backwards is 021399264531
- 135462993120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135462993120's digits is 45
- More coming soon!
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The information we have on file for 135462993120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 135462993120, math, Factors of 135462993120, curriculum, school, college, exams, university, Prime factorization of 135462993120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, four hundred sixty-two million, nine hundred ninety-three thousand, one hundred twenty.