135349353216
135,349,353,216 is an even composite number composed of six prime numbers multiplied together.
135349353216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135349353216:
28 × 33 × 7 × 112 × 61 × 379
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 61 × 379)See below for interesting mathematical facts about the number 135349353216 from the Numbermatics database.
Names of 135349353216
- Cardinal: 135349353216 can be written as One hundred thirty-five billion, three hundred forty-nine million, three hundred fifty-three thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.35349353216 × 1011
Factors of 135349353216
Divisors of 135349353216
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 61 63 64 66 72 77 84 88 96 99 108 112 121 122 126 128 132 144 154 168 176 183 189 192 198 216 224 231 242 244 252 256 264 288 297 308 336 352 363 366 378 379 384 396 427 432 448 462 484 488 504 528 549 576 594 616 671 672 693 704 726 732 756 758 768 792 847 854 864 896 924 968 976 1008 1056 1089 1098 1137 1152 1188 1232 1281 1342 1344 1386 1408 1452 1464 1512 1516 1584 1647 1694 1708 1728 1792 1848 1936 1952 2013 2016 2079 2112 2178 2196 2274 2304 2376 2464 2541 2562 2653 2684 2688 2772 2816 2904 2928 3024 3032 3168 3267 3294 3388 3411 3416 3456 3696 3843 3872 3904 4026 4032 4158 4169 4224 4356 4392 4548 4697 4752 4928 5082 5124 5306 5368 5376 5544 5808 5856 6039 6048 6064 6336 6534 6588 6776 6822 6832 6912 7381 7392 7623 7686 7744 7808 7959 8052 8064 8316 8338 8448 8712 8784 9096 9394 9504 9856 10164 10233 10248 10612 10736 11088 11529 11616 11712 12078 12096 12128 12507 12672 13068 13176 13552 13644 13664 14091 14762 14784 15246 15372 15488 15616 15918 16104 16128 16632 16676 17424 17568 18117 18192 18788 19008 19712 20328 20466 20496 21224 21472 22143 22176 22869 23058 23119 23232 23424 23877 24156 24192 24256 25014 25344 26136 26352 27104 27288 27328 28182 29183 29524 29568 30492 30744 30976 31836 32208 33264 33352 34848 35136 36234 36384 37521 37576 38016 40656 40932 40992 42273 42448 42944 44286 44352 45738 45859 46116 46238 46464 46848 47754 48312 48384 48512 50028 51667 52272 52704 54208 54576 54656 56364 58366 59048 59136 60984 61488 63672 64416 66429 66528 66704 69357 69696 70272 71631 72468 72768 75042 75152 76032 81312 81864 81984 84546 84896 85888 87549 88572 88704 91476 91718 92232 92476 92928 95508 96624 97024 100056 103334 104544 105408 108416 109152 109312 112563 112728 116732 118096 121968 122976 126819 127344 128832 132858 133056 133408 137577 138714 139392 140544 143262 144936 145536 150084 150304 155001 161833 162624 163728 163968 169092 169792 171776 175098 177144 177408 182952 183436 184464 184952 191016 193248 199287 200112 206668 208071 209088 210816 216832 218304 225126 225456 233464 236192 243936 245952 253638 254309 254688 257664 262647 265716 266112 266816 275154 277428 278784 286524 289872 291072 300168 300608 310002 321013 323666 325248 327456 327936 338184 339584 350196 354288 365904 366872 368928 369904 382032 386496 398574 400224 412731 413336 416142 418176 421632 436608 450252 450912 465003 466928 472384 485499 487872 491904 507276 508618 509376 515328 525294 531432 532224 533632 550308 554856 573048 579744 600336 601216 620004 624213 642026 647332 650496 654912 676368 679168 700392 708576 731808 733744 737856 739808 762927 764064 772992 787941 797148 800448 825462 826672 832284 836352 873216 900504 901824 930006 933856 944768 963039 970998 975744 983808 1014552 1017236 1018752 1050588 1062864 1067264 1100616 1109712 1146096 1159488 1200672 1202432 1238193 1240008 1248426 1284052 1294664 1309824 1352736 1395009 1400784 1417152 1456497 1463616 1467488 1475712 1479616 1525854 1528128 1545984 1575882 1594296 1600896 1650924 1653344 1664568 1780163 1801008 1803648 1860012 1867712 1889536 1926078 1941996 1951488 2029104 2034472 2037504 2101176 2125728 2201232 2219424 2288781 2292192 2318976 2401344 2476386 2480016 2496852 2568104 2589328 2619648 2705472 2790018 2797399 2801568 2834304 2889117 2912994 2927232 2934976 2951424 2959232 3051708 3056256 3151764 3188592 3201792 3301848 3306688 3329136 3560326 3602016 3607296 3720024 3735424 3852156 3883992 4058208 4068944 4202352 4251456 4369491 4402464 4438848 4577562 4584384 4637952 4802688 4952772 4960032 4993704 5136208 5178656 5340489 5410944 5580036 5594798 5603136 5668608 5778234 5825988 5854464 5869952 5918464 6103416 6112512 6303528 6377184 6603696 6613376 6658272 6866343 7120652 7204032 7440048 7470848 7704312 7767984 8116416 8137888 8392197 8404704 8502912 8667351 8738982 8804928 8877696 9155124 9168768 9605376 9905544 9920064 9987408 10272416 10357312 10680978 10821888 11160072 11189596 11206272 11556468 11651976 11739904 12206832 12607056 12754368 13207392 13226752 13316544 13732686 14241304 14408064 14880096 15408624 15535968 16021467 16232832 16275776 16784394 16809408 17005824 17334702 17477964 17609856 17755392 18310248 18337536 19581793 19811088 19840128 19974816 20544832 20714624 21361956 22320144 22379192 22412544 23112936 23303952 24413664 25176591 25214112 25508736 26414784 26633088 27465372 28482608 28816128 29760192 30817248 31071936 32042934 32465664 32551552 33568788 33618816 34669404 34955928 35219712 36620496 39163586 39622176 39680256 39949632 41089664 41429248 42723912 44640288 44758384 46225872 46607904 48064401 48827328 50353182 50428224 51017472 52829568 53266176 54930744 56965216 58745379 59520384 61634496 62143872 64085868 65103104 67137576 67237632 69338808 69911856 73240992 75529773 78327172 79244352 79899264 82179328 85447824 89280576 89516768 92451744 93215808 96128802 97654656 100706364 100856448 105659136 109861488 113930432 117490758 119040768 123268992 124287744 128171736 134275152 138677616 139823712 146481984 151059546 156654344 158488704 159798528 170895648 176236137 178561152 179033536 184903488 186431616 192257604 195309312 201412728 201712896 219722976 227860864 234981516 246537984 256343472 268550304 277355232 279647424 292963968 302119092 313308688 316977408 341791296 352472274 357122304 358067072 369806976 372863232 384515208 402825456 439445952 455721728 469963032 512686944 528708411 537100608 554710464 559294848 585927936 604238184 626617376 683582592 704944548 716134144 739613952 769030416 805650912 878891904 939926064 1025373888 1057416822 1074201216 1109420928 1118589696 1208476368 1253234752 1367165184 1409889096 1538060832 1611301824 1757783808 1879852128 2050747776 2114833644 2148402432 2218841856 2416952736 2506469504 2819778192 3076121664 3222603648 3759704256 4101495552 4229667288 4833905472 5012939008 5639556384 6152243328 6445207296 7519408512 8459334576 9667810944 11279112768 12304486656 15038817024 16918669152 19335621888 22558225536 33837338304 45116451072 67674676608 135349353216
- Sum of all divisors σ(n): 512386649600
- Sum of proper divisors (its aliquot sum) s(n): 377037296384
- 135349353216 is an abundant number, because the sum of its proper divisors (377037296384) is greater than itself. Its abundance is 241687943168
Bases of 135349353216
- Binary: 11111100000110111001100111011000000002
- Hexadecimal: 0x1F83733B00
- Base-36: 1Q6FIDC0
Squares and roots of 135349353216
- 135349353216 squared (1353493532162) is 18319447415989529542656
- 135349353216 cubed (1353493532163) is 2479525359028705320226613882781696
-
The
square root of 135349353216 is 367898.5637590883 -
The
cube root of 135349353216 is 5134.3491069241
Scales and comparisons
How big is 135349353216?- 135,349,353,216 seconds is equal to 4,303 years, 35 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 135,349,353,216 would take you about eight thousand, six hundred seven 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 135349353216 cubic inches would be around 427.9 feet tall.
Recreational maths with 135349353216
- 135349353216 backwards is 612353943531
- The number of decimal digits it has is: 12
- The sum of 135349353216's digits is 45
- More coming soon!
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