135442399246336
135,442,399,246,336 is an even composite number composed of five prime numbers multiplied together.
135442399246336 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135442399246336:
211 × 73 × 13 × 234 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 23 × 23 × 23 × 23 × 53)See below for interesting mathematical facts about the number 135442399246336 from the Numbermatics database.
Names of 135442399246336
- Cardinal: 135442399246336 can be written as One hundred thirty-five trillion, four hundred forty-two billion, three hundred ninety-nine million, two hundred forty-six thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.35442399246336 × 1014
Factors of 135442399246336
Divisors of 135442399246336
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 53 56 64 91 92 98 104 106 112 128 161 182 184 196 208 212 224 256 299 322 343 364 368 371 392 416 424 448 512 529 598 637 644 686 689 728 736 742 784 832 848 896 1024 1058 1127 1196 1219 1274 1288 1372 1378 1456 1472 1484 1568 1664 1696 1792 2048 2093 2116 2254 2392 2438 2548 2576 2597 2744 2756 2912 2944 2968 3136 3328 3392 3584 3703 4186 4232 4459 4508 4784 4823 4876 5096 5152 5194 5488 5512 5824 5888 5936 6272 6656 6784 6877 7168 7406 7889 8372 8464 8533 8918 9016 9568 9646 9752 10192 10304 10388 10976 11024 11648 11776 11872 12167 12544 13312 13568 13754 14336 14651 14812 15778 15847 16744 16928 17066 17836 18032 18179 19136 19292 19504 20384 20608 20776 21952 22048 23296 23552 23744 24334 25088 25921 26624 27136 27508 28037 29302 29624 31556 31694 33488 33761 33856 34132 35672 36064 36358 38272 38584 39008 40768 41216 41552 43904 44096 46592 47104 47488 48139 48668 50176 51842 54272 55016 56074 58604 59248 59731 63112 63388 66976 67522 67712 68264 71344 72128 72716 76544 77168 78016 81536 82432 83104 85169 87808 88192 93184 94976 96278 97336 100352 102557 103684 108544 110032 110929 112148 117208 118496 119462 126224 126776 133952 135044 135424 136528 142688 144256 145432 153088 154336 156032 158171 163072 164864 166208 170338 175616 176384 181447 186368 189952 192556 194672 196259 205114 207368 220064 221858 224296 234416 236327 236992 238924 252448 253552 267904 270088 270848 273056 279841 285376 288512 290864 306176 308672 312064 316342 326144 329728 332416 336973 340676 351232 352768 362894 364481 379904 385112 389344 392518 410228 414736 418117 440128 443716 448592 468832 472654 473984 477848 504896 507104 535808 540176 541696 546112 559682 570752 577024 581728 596183 612352 617344 624128 632684 644851 652288 664832 673946 681352 702464 705536 725788 728962 759808 770224 776503 778688 785036 820456 829472 836234 880256 887432 897184 937664 945308 947968 955696 1009792 1014208 1071616 1080352 1083392 1092224 1107197 1119364 1141504 1154048 1163456 1192366 1234688 1248256 1265368 1289702 1304576 1329664 1347892 1362704 1373813 1411072 1451576 1457924 1540448 1553006 1557376 1570072 1640912 1658944 1672468 1760512 1774864 1794368 1875328 1890616 1895936 1911392 1958887 2019584 2028416 2143232 2160704 2184448 2214394 2238728 2283008 2308096 2326912 2358811 2384732 2469376 2496512 2530736 2551367 2579404 2659328 2695784 2725408 2747626 2903152 2915848 3080896 3106012 3114752 3140144 3281824 3317888 3344936 3521024 3549728 3588736 3637933 3750656 3781232 3791872 3822784 3917774 4039168 4056832 4173281 4286464 4321408 4368896 4428788 4477456 4513957 4566016 4653824 4717622 4769464 4938752 5061472 5102734 5158808 5318656 5391568 5435521 5450816 5495252 5806304 5831696 6161792 6212024 6229504 6280288 6563648 6635776 6689872 7042048 7099456 7177472 7275866 7501312 7562464 7583744 7645568 7750379 7835548 8078336 8113664 8346562 8383063 8642816 8737792 8857576 8954912 9027914 9132032 9307648 9435244 9538928 9616691 9877504 10122944 10205468 10317616 10783136 10871042 10901632 10990504 11612608 11663392 12323584 12424048 12459008 12560576 13127296 13271552 13379744 13712209 14084096 14198912 14354944 14551732 14831573 15002624 15124928 15291136 15500758 15671096 16156672 16227328 16693124 16766126 17285632 17475584 17715152 17859569 17909824 18055828 18615296 18870488 19077856 19233382 20245888 20410936 20635232 21566272 21742084 21803264 21981008 23225216 23326784 24647168 24848096 24918016 25121152 25465531 26254592 26543104 26759488 27424418 28397824 28709888 29103464 29663146 30005248 30249856 30582272 31001516 31342192 31597699 32454656 33386248 33532252 34571264 35430304 35719138 35819648 36111656 37230592 37740976 38155712 38466764 40491776 40821872 41270464 43132544 43484168 43606528 43962016 46450432 46653568 49294336 49696192 50242304 50931062 52509184 53086208 53518976 54252653 54848836 56795648 57419776 58206928 58681441 59326292 60499712 61164544 62003032 62684384 63195398 66772496 67064504 69142528 70860608 71438276 71639296 72223312 75481952 76311424 76933528 80983552 81643744 82540928 86265088 86968336 87213056 87924032 92900864 93307136 95985463 98588672 99392384 100484608 101862124 103821011 105018368 107037952 108505306 109697672 113591296 116413856 117362882 118652584 120999424 122329088 124006064 125016983 125368768 126390796 133544992 134129008 141721216 142876552 143278592 144446624 150963904 152622848 153867056 161967104 163287488 165081856 172530176 173936672 174426112 175848064 178258717 185801728 186614272 191970926 192810449 198784768 200969216 203724248 207642022 210036736 214075904 217010612 219395344 221183893 227182592 232827712 234725764 237305168 241998848 248012128 250033966 250737536 252781592 267089984 268258016 283442432 285753104 286557184 288893248 301927808 305245696 307734112 323934208 326574976 330163712 345060352 347873344 351696128 356517434 371603456 373228544 383941852 385620898 397569536 401938432 407448496 410770087 415284044 428151808 434021224 438790688 442367786 465655424 469451528 474610336 483997696 496024256 500067932 501475072 505563184 534179968 536516032 566884864 571506208 573114368 577786496 603855616 610491392 615468224 653149952 660327424 690120704 695746688 703392256 713034868 726747077 746457088 767883704 771241796 795139072 814896992 821540174 830568088 856303616 868042448 877581376 884735572 931310848 938903056 949220672 992048512 1000135864 1002950144 1011126368 1068359936 1073032064 1133769728 1143012416 1155572992 1207711232 1220982784 1230936448 1247811019 1306299904 1320654848 1349673143 1391493376 1406784512 1426069736 1453494154 1535767408 1542483592 1590278144 1629793984 1643080348 1661136176 1736084896 1755162752 1769471144 1862621696 1877806112 1898441344 1984097024 2000271728 2005900288 2022252736 2136719872 2146064128 2267539456 2286024832 2311145984 2415422464 2461872896 2495622038 2612599808 2699346286 2782986752 2813569024 2852139472 2875390609 2906988308 3071534816 3084967184 3259587968 3286160696 3322272352 3472169792 3510325504 3538942288 3725243392 3755612224 3796882688 3968194048 4000543456 4011800576 4044505472 4273439744 4292128256 4572049664 4622291968 4830844928 4923745792 4991244076 5087229539 5225199616 5398692572 5565973504 5704278944 5750781218 5813976616 6143069632 6169934368 6519175936 6572321392 6644544704 6944339584 7020651008 7077884576 7450486784 7511224448 7593765376 7936388096 8001086912 8089010944 8546879488 8584256512 9144099328 9244583936 9447712001 9847491584 9982488152 10174459078 10797385144 11131947008 11408557888 11501562436 11627953232 12286139264 12339868736 13038351872 13144642784 13289089408 13888679168 14041302016 14155769152 15022448896 15187530752 15872776192 16002173824 16178021888 17168513024 18288198656 18895424002 19694983168 19964976304 20348918156 21594770288 22817115776 23003124872 23255906464 24572278528 24679737472 26076703744 26289285568 26578178816 27777358336 28082604032 28311538304 30044897792 30375061504 32004347648 32356043776 36576397312 37790848004 39929952608 40697836312 43189540576 45634231552 46006249744 46511812928 49144557056 49359474944 52153407488 52578571136 53156357632 55554716672 56623076608 60089795584 64008695296 64712087552 66133984007 75581696008 79859905216 81395672624 86379081152 91268463104 92012499488 93023625856 98289114112 98718949888 105157142272 106312715264 111109433344 113246153216 120179591168 128017390592 132267968014 151163392016 159719810432 162791345248 172758162304 182536926208 184024998976 186047251712 196578228224 197437899776 210314284544 212625430528 226492306432 256034781184 264535936028 302326784032 319439620864 325582690496 345516324608 365073852416 368049997952 372094503424 394875799552 420628569088 452984612864 529071872056 604653568064 638879241728 651165380992 691032649216 736099995904 744189006848 841257138176 1058143744112 1209307136128 1277758483456 1302330761984 1382065298432 1472199991808 1488378013696 2116287488224 2418614272256 2555516966912 2604661523968 2764130596864 2944399983616 4232574976448 4837228544512 5209323047936 5888799967232 8465149952896 9674457089024 10418646095872 16930299905792 19348914178048 33860599811584 67721199623168 135442399246336
- Sum of all divisors σ(n): 362286478008000
- Sum of proper divisors (its aliquot sum) s(n): 226844078761664
- 135442399246336 is an abundant number, because the sum of its proper divisors (226844078761664) is greater than itself. Its abundance is 91401679515328
Bases of 135442399246336
- Binary: 111101100101111001001000001100000111000000000002
- Hexadecimal: 0x7B2F24183800
- Base-36: 1C0DDNHPTS
Squares and roots of 135442399246336
- 135442399246336 squared (1354423992463362) is 18344643513603878660809424896
- 135442399246336 cubed (1354423992463363) is 2484642530801244566092060843513715995181056
-
The
square root of 135442399246336 is 11637972.2996033979 -
The
cube root of 135442399246336 is 51355.2537500621
Scales and comparisons
How big is 135442399246336?- 135,442,399,246,336 seconds is equal to 4,306,649 years, 17 weeks, 6 days, 15 hours, 32 minutes, 16 seconds.
-
To count from 1 to 135,442,399,246,336 would take you about ten million, seven hundred sixty-six thousand, six hundred twenty-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 135442399246336 cubic inches would be around 4279.6 feet tall.
Recreational maths with 135442399246336
- 135442399246336 backwards is 633642993244531
- 135442399246336 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135442399246336's digits is 64
- More coming soon!
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The information we have on file for 135442399246336 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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