135375031731456
135,375,031,731,456 is an even composite number composed of seven prime numbers multiplied together.
135375031731456 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 135375031731456:
28 × 33 × 112 × 29 × 73 × 157 × 487
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 29 × 73 × 157 × 487)See below for interesting mathematical facts about the number 135375031731456 from the Numbermatics database.
Names of 135375031731456
- Cardinal: 135375031731456 can be written as One hundred thirty-five trillion, three hundred seventy-five billion, thirty-one million, seven hundred thirty-one thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.35375031731456 × 1014
Factors of 135375031731456
Divisors of 135375031731456
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 32 33 36 44 48 54 58 64 66 72 73 87 88 96 99 108 116 121 128 132 144 146 157 174 176 192 198 216 219 232 242 256 261 264 288 292 297 314 319 348 352 363 384 396 432 438 464 471 484 487 522 528 576 584 594 628 638 657 696 704 726 768 783 792 803 864 876 928 942 957 968 974 1044 1056 1089 1152 1168 1188 1256 1276 1314 1392 1408 1413 1452 1461 1566 1584 1606 1727 1728 1752 1856 1884 1914 1936 1948 1971 2088 2112 2117 2178 2304 2336 2376 2409 2512 2552 2628 2784 2816 2826 2871 2904 2922 3132 3168 3212 3267 3454 3456 3504 3509 3712 3768 3828 3872 3896 3942 4176 4224 4234 4239 4356 4383 4553 4672 4752 4818 5024 5104 5181 5256 5357 5568 5652 5742 5808 5844 6264 6336 6351 6424 6534 6908 6912 7008 7018 7227 7424 7536 7656 7744 7792 7884 8352 8448 8468 8478 8613 8712 8766 8833 9106 9344 9504 9636 10048 10208 10362 10512 10527 10714 11136 11304 11461 11484 11616 11688 12528 12672 12702 12848 13068 13149 13659 13816 14016 14036 14123 14454 15072 15312 15488 15543 15584 15768 16071 16704 16936 16956 17226 17424 17532 17666 18212 18688 18997 19008 19053 19272 20096 20416 20724 21024 21054 21428 21681 22272 22608 22922 22968 23232 23287 23376 25056 25344 25404 25696 26136 26298 26499 27318 27632 28032 28072 28246 28908 30144 30624 30976 31086 31168 31536 31581 32142 33408 33872 33912 34383 34452 34848 35064 35332 35551 36424 37994 38016 38106 38544 40192 40832 40977 41448 42048 42108 42369 42856 43362 45216 45844 45936 46464 46574 46629 46752 48213 50083 50112 50808 51392 52272 52596 52998 54636 55264 56064 56144 56492 56991 57159 57816 58927 60288 61248 62172 62336 63072 63162 64284 66816 67744 67824 68766 68904 69696 69861 70128 70664 71102 72848 75988 76032 76212 76459 77088 79497 81664 81954 82896 84096 84216 84738 85712 86724 90432 91688 91872 92928 93148 93258 93504 94743 96426 100166 100224 101616 102784 103149 104544 105192 105996 106653 109272 110528 112288 112984 113982 114318 115632 117854 120576 122496 122931 124344 124672 126071 126144 126324 127107 128568 135488 135648 137532 137808 139392 139722 140256 141328 142204 144639 145696 150249 151976 152424 152918 154176 155353 158994 163908 165792 168192 168432 169476 170973 171424 173448 176781 180864 183376 183744 186296 186516 187008 189486 192852 200332 200448 203232 205568 206298 209088 209583 210384 211992 213306 218544 221056 224576 225968 227964 228636 229377 231264 235708 238491 244992 245862 248688 252142 252288 252648 254214 256157 257136 270976 271296 275064 275616 278784 279444 280512 282656 284408 289278 291392 300498 303952 304848 305836 308352 309447 310706 317988 319959 327816 331584 332369 336864 338952 341946 342848 346896 353562 361728 366752 367488 372592 373032 374016 378213 378972 381321 385704 391061 400664 406464 412596 418176 419166 420768 423984 426612 437088 442112 449152 450747 451936 455928 457272 458754 462528 466059 471416 476982 491724 497376 504284 504576 505296 508428 512314 512919 514272 530343 541952 542592 550128 550913 551232 558888 561024 565312 568816 578556 582784 600996 607904 609696 611672 616704 618894 621412 628749 635976 639918 655632 663168 664738 673728 677904 683892 685696 688131 693792 707124 733504 734976 745184 746064 756426 757944 762642 768471 771408 782122 801328 812928 825192 836352 838332 841049 841536 847968 853224 874176 898304 901494 903872 911856 914544 917508 925056 932118 942832 953964 959877 983448 994752 997107 1008568 1010592 1016856 1024628 1025838 1028544 1030979 1060686 1085184 1100256 1101826 1102464 1117776 1122048 1130624 1134639 1137632 1157112 1165568 1173183 1201992 1215808 1219392 1223344 1237788 1242824 1257498 1271952 1279836 1311264 1326336 1329476 1347456 1352241 1355808 1367784 1371392 1376262 1386781 1387584 1398177 1414248 1467008 1490368 1492128 1512852 1515888 1525284 1536942 1542816 1564244 1591029 1602656 1625856 1650384 1652739 1676664 1682098 1683072 1695936 1706448 1708883 1748352 1802988 1807744 1823712 1829088 1835016 1850112 1864236 1885664 1907928 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111018468 111345732 112625568 115391232 116145117 116993888 118997208 119311104 119734794 120649947 121111056 122793154 122864256 123039576 124748459 127629696 131307264 131618124 131965312 132121152 133130976 133956168 134224992 135767808 136089228 137653472 141033728 141907904 143583408 145233792 146342526 147546432 148024624 148460976 149772348 150167424 150700689 154860156 158662944 159646392 160866596 160959744 161481408 161863703 164052768 166527702 168938352 173086848 175490832 176161536 177507968 178608224 178966656 181452304 181666584 184189731 184559364 191444544 195123368 196728576 197427186 197947968 199696464 200934252 203651712 204133842 206480208 211550592 212861856 215308544 217850688 218737024 219513789 221319648 222036936 222691464 225251136 232290234 233987776 237994416 239469588 241299894 242222112 245586308 245728512 246079152 249496918 249791553 255259392 263236248 263930624 264242304 266261952 267912336 268294631 268449984 272178456 275306944 283815808 287166816 290467584 292685052 295092864 296049248 296921952 299544696 300334848 301401378 306200763 309720312 317325888 319292784 321733192 322962816 323727406 328105536 333055404 337876704 346173696 350981664 355015936 357216448 357933312 361949841 362904608 363333168 368379462 369118728 374245377 382889088 390246736 394854372 395895936 399392928 401868504 407303424 408267684 412960416 423101184 425723712 435701376 437474048 439027578 442639296 444073872 445382928 450502272 464580468 467975552 475988832 478939176 482599788 484444224 485591109 491172616 492158304 498993836 499583106 526472496 528484608 532523904 535824672 536589262 536899968 544356912 550613888 552569193 567631616 574333632 585370104 590185728 592098496 593843904 599089392 602802756 612401526 619440624 634651776 638585568 643466384 645925632 647454812 656211072 658541367 666110808 675362347 675753408 701963328 714432896 723899682 725809216 726666336 736758924 738237456 748490754 765778176 780493472 789708744 791791872 798785856 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8104348164 8423559936 8585428192 8686796184 8709710592 8740639962 8841107088 8981889048 9365921664 9585430272 9644844096 9658606716 9798424416 9911049984 10295462144 10359276992 10536661872 10657772928 10683004398 10805797552 11582394912 11654186616 11788142784 11811799296 11975852064 12156522246 12635339904 12859792128 12878142288 13064565888 13261660632 13472833572 14048882496 14244005864 14487910074 14866574976 15326053632 15443193216 15538915488 15717523712 15967802752 15986659392 16024506597 16208696328 17170856384 17373592368 17481279924 17682214176 17963778096 18234783369 18731843328 19289688192 19317213432 19585508063 19596848832 20718553984 21073323744 21315545856 21366008796 21611595104 23164789824 23308373232 23576285568 23951704128 24313044492 25270679808 25756284576 26129131776 26523321264 26945667144 28097764992 28488011728 28975820148 29733149952 30886386432 31077830976 31935605504 31973318784 32049013194 32417392656 34341712768 34747184736 34962559848 35364428352 35927556192 36469566738 38579376384 38634426864 39171016126 39193697664 41437107968 42146647488 42732017592 43223190208 46329579648 46616746464 47152571136 47903408256 48073519791 48626088984 51512569152 53046642528 53891334288 56195529984 56976023456 57951640296 58756524189 62155661952 63946637568 64098026388 64834785312 68683425536 69494369472 69925119696 70728856704 71855112384 72939133476 77268853728 78342032252 78387395328 84293294976 85464035184 86446380416 92659159296 93233492928 95806816512 96147039582 97252177968 103025138304 106093285056 107782668576 113952046912 115903280592 117513048378 124311323904 128196052776 129669570624 138988738944 139850239392 141457713408 143710224768 145878266952 154537707456 156684064504 168586589952 170928070368 172892760832 176269572567 186466985856 192294079164 194504355936 206050276608 212186570112 215565337152 227904093824 231806561184 235026096756 256392105552 259339141248 277977477888 279700478784 287420449536 291756533904 309075414912 313368129008 341856140736 352539145134 372933971712 384588158328 389008711872 424373140224 431130674304 455808187648 463613122368 470052193512 512784211104 518678282496 528808717701 559400957568 583513067808 618150829824 626736258016 683712281472 705078290268 769176316656 778017423744 862261348608 927226244736 940104387024 1025568422208 1057617435402 1118801915136 1167026135616 1253472516032 1367424562944 1410156580536 1538352633312 1556034847488 1854452489472 1880208774048 2051136844416 2115234870804 2334052271232 2506945032064 2820313161072 3076705266624 3760417548096 4102273688832 4230469741608 4668104542464 5013890064128 5640626322144 6153410533248 7520835096192 8460939483216 11281252644288 12306821066496 15041670192384 16921878966432 22562505288576 33843757932864 45125010577152 67687515865728 135375031731456
- Sum of all divisors σ(n): 465331460697600
- Sum of proper divisors (its aliquot sum) s(n): 329956428966144
- 135375031731456 is an abundant number, because the sum of its proper divisors (329956428966144) is greater than itself. Its abundance is 194581397234688
Bases of 135375031731456
- Binary: 111101100011111011101001010110110000101000000002
- Hexadecimal: 0x7B1F74AD8500
- Base-36: 1BZIFIM2O0
Squares and roots of 135375031731456
- 135375031731456 squared (1353750317314562) is 18326399216292718885299879936
- 135375031731456 cubed (1353750317314563) is 2480936875428957189324363675598186994466816
-
The
square root of 135375031731456 is 11635077.6418318757 -
The
cube root of 135375031731456 is 51346.7378308715
Scales and comparisons
How big is 135375031731456?- 135,375,031,731,456 seconds is equal to 4,304,507 years, 13 weeks, 6 days, 57 minutes, 36 seconds.
-
To count from 1 to 135,375,031,731,456 would take you about ten million, seven hundred sixty-one thousand, two hundred sixty-eight 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 135375031731456 cubic inches would be around 4278.9 feet tall.
Recreational maths with 135375031731456
- 135375031731456 backwards is 654137130573531
- 135375031731456 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135375031731456's digits is 54
- More coming soon!
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"Number 135375031731456 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 135375031731456 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/135375031731456/
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The information we have on file for 135375031731456 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!
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