135137829120
135,137,829,120 is an even composite number composed of seven prime numbers multiplied together.
135137829120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135137829120:
28 × 3 × 5 × 73 × 37 × 47 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 37 × 47 × 59)See below for interesting mathematical facts about the number 135137829120 from the Numbermatics database.
Names of 135137829120
- Cardinal: 135137829120 can be written as One hundred thirty-five billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3513782912 × 1011
Factors of 135137829120
Divisors of 135137829120
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 47 48 49 56 59 60 64 70 74 80 84 94 96 98 105 111 112 118 120 128 140 141 147 148 160 168 177 185 188 192 196 210 222 224 235 236 240 245 256 259 280 282 294 295 296 320 329 336 343 354 370 376 384 392 413 420 444 448 470 472 480 490 518 555 560 564 588 590 592 640 658 672 686 705 708 735 740 752 768 777 784 826 840 885 888 896 940 944 960 980 987 1029 1036 1110 1120 1128 1176 1180 1184 1239 1280 1295 1316 1344 1372 1410 1416 1470 1480 1504 1554 1568 1645 1652 1680 1715 1739 1770 1776 1792 1813 1880 1888 1920 1960 1974 2058 2065 2072 2183 2220 2240 2256 2303 2352 2360 2368 2478 2590 2632 2688 2744 2773 2820 2832 2891 2940 2960 3008 3108 3136 3290 3304 3360 3430 3478 3540 3552 3626 3760 3776 3840 3885 3920 3948 4116 4130 4144 4366 4440 4480 4512 4606 4704 4720 4736 4935 4956 5145 5180 5217 5264 5376 5439 5488 5546 5640 5664 5782 5880 5920 6016 6195 6216 6272 6549 6580 6608 6720 6860 6909 6956 7080 7104 7252 7520 7552 7770 7840 7896 8232 8260 8288 8319 8673 8695 8732 8880 8960 9024 9065 9212 9408 9440 9472 9870 9912 10290 10360 10434 10528 10878 10915 10976 11092 11280 11328 11515 11564 11760 11840 12032 12173 12390 12432 12544 12691 13098 13160 13216 13440 13720 13818 13865 13912 14160 14208 14455 14504 15040 15104 15281 15540 15680 15792 16121 16464 16520 16576 16638 17346 17390 17464 17760 18048 18130 18424 18816 18880 19411 19740 19824 20237 20580 20720 20868 21056 21756 21830 21952 22184 22560 22656 23030 23128 23520 23680 24346 24780 24864 25382 26085 26196 26320 26432 26880 27195 27440 27636 27730 27824 28320 28416 28910 29008 30080 30562 31080 31360 31584 32242 32745 32928 33040 33152 33276 34545 34692 34780 34928 35520 36096 36260 36519 36848 37632 37760 38073 38822 39480 39648 40474 41160 41440 41595 41736 42112 43365 43512 43660 43904 44368 45120 45312 45843 46060 46256 47040 47360 48363 48692 49560 49728 50764 52170 52392 52640 52864 54390 54880 55272 55460 55648 56640 57820 58016 58233 60160 60711 60865 61124 62160 62720 63168 63455 64484 65490 65856 66080 66304 66552 69090 69384 69560 69856 71040 72520 73038 73696 75520 76146 76405 77644 78960 79296 80605 80948 82320 82880 83190 83472 84224 85211 86730 87024 87320 87808 88736 90240 91686 92120 92512 94080 96726 97055 97384 99120 99456 101185 101528 102601 104340 104784 105280 105728 106967 108780 109760 110544 110920 111296 113280 115640 116032 116466 121422 121730 122248 124320 126336 126910 128968 130980 131712 132160 133104 135877 138180 138768 139120 139712 142080 145040 146076 147392 152292 152810 155288 157920 158592 161210 161896 164640 165760 166380 166944 170422 173460 174048 174640 177472 180480 182595 183372 184240 185024 188160 190365 193452 194110 194768 198240 198912 202370 203056 205202 208680 209568 210560 213934 217560 219520 221088 221840 222592 226560 229215 231280 232064 232932 241815 242844 243460 244496 248640 252672 253820 255633 257936 261960 263424 264320 266208 271754 276360 277536 278240 279424 290080 291165 292152 294784 303555 304584 305620 307803 310576 315840 317184 320901 322420 323792 329280 331520 332760 333888 340844 346920 348096 349280 354944 365190 366744 368480 370048 380730 386904 388220 389536 396480 404740 406112 407631 410404 417360 419136 421120 426055 427868 435120 439040 442176 443680 445184 458430 462560 464128 465864 483630 485688 486920 488992 497280 507640 511266 513005 515872 523920 528640 532416 534835 543508 552720 555072 556480 558848 580160 582330 584304 589568 596477 607110 609168 611240 615606 621152 631680 641802 644840 647584 658560 665520 667776 679385 681688 693840 696192 698560 709888 718207 730380 733488 736960 740096 748769 761460 773808 776440 779072 792960 809480 812224 815262 820808 834720 838272 852110 855736 870240 884352 887360 916860 925120 931728 951139 967260 971376 973840 977984 994560 1015280 1022532 1026010 1031744 1047840 1064832 1069670 1087016 1105440 1110144 1112960 1160320 1164660 1168608 1192954 1214220 1218336 1222480 1231212 1242304 1263360 1278165 1283604 1289680 1295168 1317120 1331040 1335552 1358770 1363376 1387680 1392384 1397120 1436414 1460760 1466976 1473920 1497538 1522920 1539015 1547616 1552880 1558144 1585920 1604505 1618960 1624448 1630524 1641616 1669440 1676544 1704220 1711472 1740480 1768704 1774720 1789431 1833720 1850240 1863456 1902278 1934520 1942752 1947680 1955968 2030560 2038155 2045064 2052020 2063488 2095680 2129664 2139340 2154621 2174032 2210880 2220288 2225920 2246307 2320640 2329320 2337216 2385908 2428440 2436672 2444960 2462424 2484608 2556330 2567208 2579360 2590336 2662080 2717540 2726752 2775360 2794240 2853417 2872828 2921520 2933952 2947840 2982385 2995076 3045840 3078030 3095232 3105760 3116288 3209010 3237920 3248896 3261048 3283232 3338880 3408440 3422944 3480960 3549440 3578862 3591035 3667440 3700480 3726912 3743845 3804556 3869040 3885504 3895360 3911936 4061120 4076310 4090128 4104040 4126976 4191360 4278680 4309242 4348064 4421760 4492614 4658640 4674432 4755695 4771816 4856880 4873344 4889920 4924848 4969216 5027449 5112660 5134416 5158720 5180672 5324160 5435080 5453504 5550720 5706834 5745656 5843040 5867904 5964770 5990152 6091680 6156060 6190464 6211520 6418020 6475840 6522096 6566464 6677760 6816880 6845888 6961920 7157724 7182070 7334880 7453824 7487690 7609112 7738080 7771008 7790720 8122240 8152620 8180256 8208080 8382720 8557360 8618484 8696128 8843520 8947155 8985228 9317280 9348864 9511390 9543632 9713760 9746688 9779840 9849696 10054898 10225320 10268832 10317440 10648320 10773105 10870160 10907008 11101440 11231535 11413668 11491312 11686080 11735808 11929540 11980304 12183360 12312120 12380928 12423040 12836040 12951680 13044192 13132928 13633760 13691776 14267085 14315448 14364140 14669760 14907648 14975380 15082347 15218224 15476160 15542016 15581440 16244480 16305240 16360512 16416160 17114720 17236968 17392256 17894310 17970456 18634560 19022780 19087264 19427520 19559680 19699392 20109796 20450640 20537664 20634880 21546210 21740320 21814016 22463070 22827336 22982624 23372160 23859080 23960608 24366720 24624240 24846080 25137245 25672080 25903360 26088384 26265856 27267520 27383552 28534170 28630896 28728280 29339520 29950760 30164694 30436448 30952320 32610480 32721024 32832320 34229440 34473936 34784512 35192143 35788620 35940912 37269120 38045560 38174528 38855040 39398784 40219592 40901280 41075328 43092420 43480640 44926140 45654672 45965248 46744320 47718160 47921216 48733440 49248480 50274490 51344160 52176768 54535040 57068340 57261792 57456560 58679040 59901520 60329388 60872896 61904640 65220960 65442048 65664640 68458880 68947872 70384286 71577240 71881824 74538240 75411735 76091120 76349056 77710080 78797568 80439184 81802560 82150656 86184840 86961280 89852280 91309344 91930496 95436320 95842432 98496960 100548980 102688320 104353536 105576429 109070080 114136680 114523584 114913120 119803040 120658776 121745792 130441920 131329280 136917760 137895744 140768572 143154480 143763648 150823470 152182240 152698112 160878368 163605120 172369680 173922560 175960715 179704560 182618688 183860992 190872640 191684864 196993920 201097960 205376640 211152858 228273360 229047168 229826240 239606080 241317552 243491584 260883840 275791488 281537144 286308960 287527296 301646940 304364480 321756736 327210240 344739360 351921430 359409120 365237376 381745280 393987840 402195920 410753280 422305716 456546720 458094336 459652480 479212160 482635104 521767680 527882145 551582976 563074288 572617920 575054592 603293880 608728960 643513472 689478720 703842860 718818240 730474752 763490560 804391840 844611432 913093440 919304960 958424320 965270208 1055764290 1126148576 1145235840 1206587760 1217457920 1287026944 1378957440 1407685720 1437636480 1608783680 1689222864 1826186880 1930540416 2111528580 2252297152 2290471680 2413175520 2757914880 2815371440 2875272960 3217567360 3378445728 3652373760 3861080832 4223057160 4504594304 4826351040 5630742880 6435134720 6756891456 8446114320 9009188608 9652702080 11261485760 13513782912 16892228640 19305404160 22522971520 27027565824 33784457280 45045943040 67568914560 135137829120
- Sum of all divisors σ(n): 536868864000
- Sum of proper divisors (its aliquot sum) s(n): 401731034880
- 135137829120 is an abundant number, because the sum of its proper divisors (401731034880) is greater than itself. Its abundance is 266593205760
Bases of 135137829120
- Binary: 11111011101101101011110100001000000002
- Hexadecimal: 0x1F76D7A100
- Base-36: 1Q2XKOAO
Squares and roots of 135137829120
- 135137829120 squared (1351378291202) is 18262232859266319974400
- 135137829120 cubed (1351378291203) is 2467918503485180957271709974528000
-
The
square root of 135137829120 is 367610.9752442113 -
The
cube root of 135137829120 is 5131.6730571971
Scales and comparisons
How big is 135137829120?- 135,137,829,120 seconds is equal to 4,296 years, 50 weeks, 1 day, 5 hours, 52 minutes.
-
To count from 1 to 135,137,829,120 would take you about eight thousand, five hundred ninety-three 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 135137829120 cubic inches would be around 427.6 feet tall.
Recreational maths with 135137829120
- 135137829120 backwards is 021928731531
- 135137829120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135137829120's digits is 42
- More coming soon!
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The information we have on file for 135137829120 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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