135149883464960
135,149,883,464,960 is an even composite number composed of eight prime numbers multiplied together.
135149883464960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135149883464960:
28 × 5 × 72 × 13 × 31 × 97 × 199 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 31 × 97 × 199 × 277)See below for interesting mathematical facts about the number 135149883464960 from the Numbermatics database.
Names of 135149883464960
- Cardinal: 135149883464960 can be written as One hundred thirty-five trillion, one hundred forty-nine billion, eight hundred eighty-three million, four hundred sixty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3514988346496 × 1014
Factors of 135149883464960
Divisors of 135149883464960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 31 32 35 40 49 52 56 62 64 65 70 80 91 97 98 104 112 124 128 130 140 155 160 182 194 196 199 208 217 224 245 248 256 260 277 280 310 320 364 388 392 398 403 416 434 448 455 485 490 496 520 554 560 620 637 640 679 728 776 784 796 806 832 868 896 910 970 980 992 995 1040 1085 1108 1120 1240 1261 1274 1280 1358 1385 1393 1456 1519 1552 1568 1592 1612 1664 1736 1792 1820 1939 1940 1960 1984 1990 2015 2080 2170 2216 2240 2480 2522 2548 2587 2716 2770 2786 2821 2912 3007 3038 3104 3136 3184 3185 3224 3328 3395 3472 3601 3640 3878 3880 3920 3968 3980 4030 4160 4340 4432 4480 4753 4960 5044 5096 5174 5432 5540 5572 5642 5824 6014 6076 6169 6208 6272 6305 6368 6370 6448 6790 6944 6965 7202 7280 7595 7756 7760 7840 7936 7960 8060 8320 8587 8680 8827 8864 8960 9506 9695 9751 9920 10088 10192 10348 10864 11080 11144 11284 11648 12028 12152 12338 12416 12544 12610 12736 12740 12896 12935 13573 13580 13888 13930 14105 14404 14560 15035 15190 15512 15520 15680 15920 16120 16640 17174 17360 17654 17728 18005 18109 19012 19303 19390 19502 19747 19840 20176 20384 20696 21049 21728 22160 22288 22568 23296 23765 24056 24304 24676 24832 25207 25220 25472 25480 25792 25870 26869 27146 27160 27776 27860 28210 28808 29120 30070 30380 30845 31024 31040 31360 31840 32240 34348 34720 35308 35456 36010 36218 38024 38606 38780 39004 39091 39494 39680 40352 40768 41392 42098 42935 43183 43456 44135 44320 44576 45136 47530 48112 48608 48755 49352 50414 50440 50944 50960 51584 51740 53738 54292 54320 55123 55552 55720 56420 57616 58240 60109 60140 60760 61690 61789 62048 62080 62720 63680 64480 67865 68696 69440 70616 70912 72020 72436 76048 77212 77560 78008 78182 78988 80197 80704 81536 82784 84196 85870 86366 86912 88270 88640 89152 90272 90545 95060 96224 96515 97216 97510 98704 98735 100828 100880 101920 103168 103480 105245 107476 108584 108640 110246 111440 111631 112840 115232 116480 120218 120280 121520 123380 123578 124096 124160 126035 126763 127360 128960 134345 135121 135730 137392 138880 141232 144040 144872 147343 152096 154424 155120 156016 156364 157976 160394 161408 163072 165568 168392 171740 172732 173824 176449 176540 177280 178304 180544 181090 188083 190120 192448 193030 194432 195020 195455 197408 197470 201656 201760 203840 206960 210490 214952 215915 217168 217280 220492 222880 223262 225680 230464 240436 240560 243040 246760 247156 248192 250939 252070 253526 254720 257920 268690 270242 271460 273637 274784 275615 277760 282464 288080 289744 294686 300545 302281 304192 308848 308945 310240 312032 312728 315952 320788 322816 331136 336784 343480 345464 349297 352898 353080 354560 356608 361088 362180 376166 380240 384896 385861 386060 388864 390040 390910 394816 394940 400985 403312 403520 407680 413920 420763 420980 429904 431830 434336 434560 440984 445760 446524 451360 460928 480872 481120 486080 493520 494312 496384 501878 504140 507052 515840 537380 540484 542920 547274 549568 551230 558155 561379 564928 576160 579488 589372 598393 601090 604562 608384 617696 617890 620480 624064 625456 631904 633815 641576 662272 673568 675605 686960 690928 698594 705796 706160 716599 722176 724360 736715 752332 760480 769792 771722 772120 780080 781417 781820 789632 789880 801970 806624 807040 815360 827840 832939 841526 841960 859808 863660 868672 869120 881968 882245 891520 893048 902720 921856 940415 945847 961744 962240 972160 987040 988624 1003756 1008280 1014104 1074760 1080968 1085840 1094548 1099136 1102460 1116310 1122758 1129856 1152320 1158976 1178744 1196786 1202180 1209124 1216768 1235392 1235780 1240960 1248128 1250912 1254695 1263808 1267630 1283152 1316581 1347136 1351210 1368185 1373920 1381856 1397188 1411592 1412320 1433198 1448720 1473430 1504664 1511405 1520960 1543444 1544240 1560160 1562834 1563640 1579264 1579760 1603940 1613248 1614080 1655680 1665878 1683052 1683920 1708813 1719616 1727320 1737344 1746485 1756573 1763936 1764490 1783040 1786096 1805440 1880830 1891694 1915459 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7108662080 7463133440 7506241792 7623526820 7655482240 7785131536 7869447040 8121988189 8383987808 8489314288 8619252772 8708111048 8712602080 8897293184 8989017856 9282272216 9382802240 9581700352 9702073472 9731414420 9952126912 9957259520 10448386816 10479984760 10608311104 10611642860 10717675136 10774065965 10885138810 10953953920 11121616480 11236272320 11602840270 11977125440 12127591840 12197642912 12440158640 13060483520 13260388880 13397093920 13623980188 13860104960 13940163328 14217324160 15083692351 15247053640 15310964480 15570263072 15738894080 16243976378 16767975616 16978628576 17029975235 17238505544 17416222096 17425204160 17794586368 18564544432 18765604480 19404146944 19462828840 19904253824 20959969520 21216622208 21223285720 21435350272 21548131930 21770277620 21907907840 22243232960 22472544640 23205680540 23954250880 24255183680 24395285824 24880317280 26120967040 26520777760 26794187840 27247960376 28434648320 30167384702 30494107280 31140526144 32487952756 33535951232 33957257152 34059950470 34477011088 34832444192 34850408320 37129088864 37531208960 38925657680 39808507648 40609940945 41919939040 42433244416 42446571440 43096263860 43540555240 44486465920 44945089280 46411361080 47908501760 48510367360 48790571648 49760634560 52241934080 53041555520 53588375680 54495920752 60334769404 60988214560 62281052288 64975905512 67071902464 67914514304 68119900940 68954022176 69664888384 69700816640 74258177728 75418461755 77851315360 81219881890 83839878080 84893142880 86192527720 87081110480 88972931840 92822722160 97020734720 97581143296 99521269120 105585846457 106083111040 107176751360 108991841504 120669538808 121976429120 124562104576 129951811024 135829028608 136239801880 137908044352 139329776768 148516355456 150836923510 155702630720 162439763780 167679756160 169786285760 172385055440 174162220960 185645444320 199042538240 211171692914 212166222080 217983683008 241339077616 243952858240 259903622048 272479603760 275816088704 278659553536 297032710912 301673847020 311405261440 324879527560 335359512320 339572571520 344770110880 348324441920 371290888640 422343385828 435967366016 482678155232 487905716480 519807244096 527929232285 544959207520 551632177408 603347694040 622810522880 649759055120 679145143040 689540221760 696648883840 742581777280 844686771656 871934732032 965356310464 1039614488192 1055858464570 1089918415040 1206695388080 1299518110240 1379080443520 1393297767680 1485163554560 1689373543312 1930712620928 2079228976384 2111716929140 2179836830080 2413390776160 2599036220480 2758160887040 3378747086624 3861425241856 4223433858280 4359673660160 4826781552320 5198072440960 6757494173248 8446867716560 9653563104640 10396144881920 13514988346496 16893735433120 19307126209280 27029976692992 33787470866240 67574941732480 135149883464960
- Sum of all divisors σ(n): 426604947148800
- Sum of proper divisors (its aliquot sum) s(n): 291455063683840
- 135149883464960 is an abundant number, because the sum of its proper divisors (291455063683840) is greater than itself. Its abundance is 156305180218880
Bases of 135149883464960
- Binary: 111101011101011000010001100101110011101000000002
- Hexadecimal: 0x7AEB08CB9D00
- Base-36: 1BWMZZ5CE8
Squares and roots of 135149883464960
- 135149883464960 squared (1351498834649602) is 18265491000592268415547801600
- 135149883464960 cubed (1351498834649603) is 2468578980160320702701261889640318631936000
-
The
square root of 135149883464960 is 11625398.2067265119 -
The
cube root of 135149883464960 is 51318.2563504665
Scales and comparisons
How big is 135149883464960?- 135,149,883,464,960 seconds is equal to 4,297,348 years, 12 weeks, 6 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 135,149,883,464,960 would take you about ten million, seven hundred forty-three thousand, three hundred seventy 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 135149883464960 cubic inches would be around 4276.5 feet tall.
Recreational maths with 135149883464960
- 135149883464960 backwards is 069464388941531
- The number of decimal digits it has is: 15
- The sum of 135149883464960's digits is 71
- More coming soon!
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"Number 135149883464960 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 135149883464960 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/135149883464960/
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The information we have on file for 135149883464960 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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