135118400340
135,118,400,340 is an even composite number composed of nine prime numbers multiplied together.
135118400340 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135118400340:
22 × 3 × 5 × 7 × 11 × 41 × 43 × 53 × 313
(2 × 2 × 3 × 5 × 7 × 11 × 41 × 43 × 53 × 313)See below for interesting mathematical facts about the number 135118400340 from the Numbermatics database.
Names of 135118400340
- Cardinal: 135118400340 can be written as One hundred thirty-five billion, one hundred eighteen million, four hundred thousand, three hundred forty.
Scientific notation
- Scientific notation: 1.3511840034 × 1011
Factors of 135118400340
Divisors of 135118400340
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 41 42 43 44 53 55 60 66 70 77 82 84 86 105 106 110 123 129 132 140 154 159 164 165 172 205 210 212 215 220 231 246 258 265 287 301 308 313 318 330 371 385 410 420 430 451 462 473 492 516 530 574 583 602 615 626 636 645 660 742 770 795 820 860 861 902 903 924 939 946 1060 1113 1148 1155 1166 1204 1230 1252 1290 1353 1419 1435 1484 1505 1540 1565 1590 1722 1749 1763 1804 1806 1855 1878 1892 2173 2191 2226 2255 2279 2310 2332 2365 2460 2580 2706 2838 2870 2915 3010 3130 3157 3180 3311 3443 3444 3498 3526 3612 3710 3756 4081 4305 4346 4382 4452 4510 4515 4558 4620 4695 4730 5289 5412 5565 5676 5740 5830 6020 6260 6314 6519 6573 6622 6765 6837 6886 6996 7052 7095 7420 8162 8610 8692 8745 8764 8815 9020 9030 9116 9390 9460 9471 9933 10329 10578 10865 10955 11130 11395 11660 12243 12341 12628 12833 13038 13146 13244 13459 13530 13674 13772 14190 15211 15785 15953 16324 16555 16589 17215 17220 17490 17630 18060 18780 18942 19393 19866 20405 20658 21156 21730 21910 22260 22790 23903 24101 24486 24682 25069 25666 26076 26292 26445 26918 27060 27348 28380 30422 31570 31906 32595 32865 33110 33178 34185 34430 34980 35260 37023 37884 38499 38786 39732 40377 40810 41316 43460 43820 45580 45633 47355 47806 47859 48202 48972 49364 49665 49767 50138 51332 51645 52890 53836 58179 60844 61215 61705 63140 63812 64165 65190 65730 66220 66356 67295 68370 68860 71709 72303 74046 75207 76055 76998 77572 79765 80754 81620 82945 89831 91266 93439 94213 94710 95612 95718 96404 96965 99330 99534 100276 103290 105780 116123 116358 119515 120505 122430 123410 125345 128330 130380 131460 134590 135751 136740 141163 143418 144606 148049 148092 150414 152110 153996 159530 161508 165890 167321 175483 179662 182479 182532 185115 186878 188426 189420 191436 192495 193930 198660 199068 201885 206580 228165 232246 232716 239030 239295 241010 244860 246820 248835 250690 256660 269180 269493 271502 280317 282326 282639 286836 289212 290895 296098 300828 304220 319060 331780 334642 348369 350966 358545 359324 361515 364958 370230 373756 376035 376852 384990 387860 403770 407253 423489 444147 449155 456330 464492 467195 471065 478060 478590 482020 497670 501380 501963 526449 538986 543004 547437 551819 560634 564652 565278 580615 581790 592196 654073 669284 678755 680149 696738 701932 705815 713327 717090 723030 729916 740245 740460 752070 769980 807540 814506 836605 846978 877415 888294 898310 912395 912660 934390 942130 957180 988141 995340 1003926 1027829 1036343 1052898 1077972 1094874 1103638 1121268 1130556 1161230 1163580 1277353 1308146 1347465 1357510 1360298 1393476 1401585 1411630 1413195 1426654 1434180 1446060 1480490 1504140 1629012 1655457 1673210 1693956 1741845 1754830 1776588 1796620 1824790 1868780 1884260 1962219 1976282 2007852 2036265 2040447 2055658 2072686 2105796 2117445 2139981 2189748 2207276 2220735 2322460 2509815 2554706 2616292 2632245 2694930 2715020 2720596 2737185 2759095 2803170 2823260 2826390 2853308 2960980 2964423 3083487 3109029 3270365 3310914 3346420 3400745 3483690 3509660 3566635 3649580 3832059 3862733 3924438 3952564 4072530 4080894 4111316 4145372 4234890 4279962 4441470 4761043 4940705 4993289 5019630 5109412 5139145 5181715 5264490 5389860 5474370 5518190 5606340 5652780 5928846 6070009 6166974 6218058 6386765 6540730 6621828 6801490 6967380 7133270 7194803 7481639 7664118 7725466 7846597 7848876 8145060 8161788 8277285 8469780 8559924 8882940 9522086 9811095 9881410 9986578 10039260 10202235 10278290 10363430 10528980 10699905 10948740 11036380 11588199 11857692 12140018 12333948 12436116 12773530 13081460 13602980 14266540 14283129 14389606 14822115 14963278 14979867 15328236 15417435 15450932 15545145 15693194 16554570 18210027 19044172 19160295 19313665 19622190 19762820 19973156 20404470 20556580 20726860 21399810 21584409 22444917 23176398 23539791 23805215 24280036 24966445 25547060 28566258 28779212 29246407 29644230 29926556 29959734 30350045 30834870 31090290 31386388 33109140 35974015 36420054 37408195 38320590 38627330 39232985 39244380 40808940 42490063 42799620 43168818 44889834 46352796 47079582 47610430 49932890 52371473 54926179 57132516 57940995 58492814 59288460 59919468 60700090 61669740 62180580 71415645 71948030 72840108 74816390 74899335 76641180 77254660 78465970 84980126 86337636 87739221 89779668 91050135 94159164 95220860 99865780 104742946 107922045 109852358 112224585 115881990 116985628 117698955 121400180 127470189 142831290 143896060 146232035 149632780 149798670 156931940 157114419 164778537 169960252 175478442 182100270 204724849 209485892 212450315 215844090 219704716 224449170 231763980 235397910 254940378 261857365 274630895 285662580 292464070 299597340 314228838 321710477 329557074 350956884 364200540 409449698 424900630 431688180 438696105 448898340 470795820 509880756 523714730 549261790 584928140 614174547 628457676 637350945 643420954 659114148 785572095 818899396 823892685 849801260 877392210 965131431 1023624245 1047429460 1098523580 1228349094 1274701890 1286841908 1571144190 1608552385 1647785370 1754784420 1930262862 2047248490 2251973339 2456698188 2549403780 3070872735 3142288380 3217104770 3295570740 3860525724 4094496980 4503946678 4825657155 6141745470 6434209540 6755920017 9007893356 9651314310 11259866695 12283490940 13511840034 19302628620 22519733390 27023680068 33779600085 45039466780 67559200170 135118400340
- Sum of all divisors σ(n): 505365848064
- Sum of proper divisors (its aliquot sum) s(n): 370247447724
- 135118400340 is an abundant number, because the sum of its proper divisors (370247447724) is greater than itself. Its abundance is 235129047384
Bases of 135118400340
- Binary: 11111011101011010111100101011010101002
- Hexadecimal: 0x1F75AF2B54
- Base-36: 1Q2M08YC
Squares and roots of 135118400340
- 135118400340 squared (1351184003402) is 18256982110440512115600
- 135118400340 cubed (1351184003403) is 2466854217798719209790261159304000
-
The
square root of 135118400340 is 367584.5485599197 -
The
cube root of 135118400340 is 5131.4271183509
Scales and comparisons
How big is 135118400340?- 135,118,400,340 seconds is equal to 4,296 years, 18 weeks, 8 hours, 59 minutes.
-
To count from 1 to 135,118,400,340 would take you about eight thousand, five hundred ninety-two 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 135118400340 cubic inches would be around 427.6 feet tall.
Recreational maths with 135118400340
- 135118400340 backwards is 043004811531
- 135118400340 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135118400340's digits is 30
- More coming soon!
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