13408319232
13,408,319,232 is an even composite number composed of six prime numbers multiplied together.
13408319232 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 13408319232:
28 × 33 × 72 × 11 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 59 × 61)See below for interesting mathematical facts about the number 13408319232 from the Numbermatics database.
Names of 13408319232
- Cardinal: 13408319232 can be written as Thirteen billion, four hundred eight million, three hundred nineteen thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.3408319232 × 1010
Factors of 13408319232
Divisors of 13408319232
- 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 49 54 56 59 61 63 64 66 72 77 84 88 96 98 99 108 112 118 122 126 128 132 144 147 154 168 176 177 183 189 192 196 198 216 224 231 236 244 252 256 264 288 294 297 308 336 352 354 366 378 384 392 396 413 427 432 441 448 462 472 488 504 528 531 539 549 576 588 594 616 649 671 672 693 704 708 732 756 768 784 792 826 854 864 882 896 924 944 976 1008 1056 1062 1078 1098 1152 1176 1188 1232 1239 1281 1298 1323 1342 1344 1386 1408 1416 1464 1512 1568 1584 1593 1617 1647 1652 1708 1728 1764 1792 1848 1888 1947 1952 2013 2016 2079 2112 2124 2156 2196 2304 2352 2376 2464 2478 2562 2596 2646 2684 2688 2772 2816 2832 2891 2928 2989 3024 3136 3168 3186 3234 3294 3304 3416 3456 3528 3599 3696 3717 3776 3843 3894 3904 4026 4032 4158 4224 4248 4312 4392 4543 4697 4704 4752 4851 4928 4956 5124 5192 5292 5368 5376 5544 5664 5782 5841 5856 5978 6039 6048 6272 6336 6372 6468 6588 6608 6832 6912 7056 7198 7392 7434 7552 7686 7788 7808 8052 8064 8316 8448 8496 8624 8673 8784 8967 9086 9394 9408 9504 9702 9856 9912 10248 10384 10584 10736 10797 11088 11151 11328 11529 11564 11682 11712 11956 12078 12096 12544 12672 12744 12936 13176 13216 13629 13664 14091 14112 14396 14553 14784 14868 15104 15372 15576 15616 16104 16128 16632 16992 17248 17346 17523 17568 17934 18117 18172 18788 18816 19008 19404 19712 19824 20496 20768 21168 21472 21594 22176 22302 22656 23058 23128 23364 23424 23912 24156 24192 25193 25344 25488 25872 26019 26352 26432 26901 27258 27328 28182 28224 28792 29106 29568 29736 30744 31152 31801 32208 32391 32879 33264 33984 34496 34692 35046 35136 35868 36234 36344 37576 37632 38016 38808 39589 39648 40887 40992 41536 42273 42336 42944 43188 44352 44604 45312 46116 46256 46728 46848 47824 48312 48384 50386 50976 51744 52038 52704 52864 53802 54516 54656 56364 56448 57584 58212 59136 59472 61488 62304 63602 64416 64782 65758 66528 67968 68992 69384 70092 70272 71736 72468 72688 75152 75579 76032 77616 78057 79178 79296 80703 81774 81984 83072 84546 84672 85888 86376 88704 89208 92232 92512 93456 95403 95648 96624 97173 98637 100772 101952 103488 104076 105408 105728 107604 109032 109312 112728 112896 115168 116424 118767 118944 122661 122976 124608 126819 127204 128832 129564 131516 133056 135936 137984 138768 140184 140544 143472 144936 145376 150304 151158 155232 156114 158356 158592 161406 163548 163968 166144 169092 169344 171776 172752 176351 177408 178416 184464 185024 186912 190806 191296 193248 194346 197274 201544 203904 206976 208152 210816 215208 218064 225456 226737 230336 232848 237534 237888 245322 245952 249216 253638 254408 257664 259128 263032 266112 277123 277536 280368 286209 286944 289872 290752 295911 300608 302316 310464 312228 316712 317184 322812 327096 327936 338184 338688 345504 352702 356301 356832 368928 370048 373824 381612 382592 386496 388692 394548 403088 407808 413952 416304 421632 430416 436128 450912 453474 460672 465696 475068 475776 490644 491904 498432 507276 508816 515328 518256 526064 529053 532224 554246 555072 560736 572418 573888 579744 581504 591822 601216 604632 620928 624456 633424 645624 654192 676368 680211 691008 705404 712602 713664 737856 740096 747648 763224 765184 772992 777384 789096 806176 831369 832608 858627 860832 872256 887733 901824 906948 921344 931392 950136 951552 981288 983808 1014552 1017632 1036512 1052128 1058106 1068903 1108492 1110144 1121472 1144836 1147776 1159488 1163008 1183644 1202432 1209264 1241856 1248912 1266848 1291248 1308384 1352736 1360422 1382016 1410808 1425204 1427328 1475712 1495296 1526448 1545984 1554768 1578192 1587159 1612352 1662738 1665216 1717254 1721664 1744512 1775466 1803648 1813896 1862784 1900272 1939861 1962576 2029104 2035264 2073024 2104256 2116212 2137806 2216984 2220288 2242944 2289672 2295552 2318976 2367288 2418528 2494107 2497824 2533696 2582496 2616768 2705472 2720844 2764032 2821616 2850408 2854656 2951424 3052896 3109536 3156384 3174318 3224704 3325476 3330432 3434508 3443328 3489024 3550932 3607296 3627792 3725568 3800544 3879722 3925152 4058208 4070528 4146048 4208512 4232424 4275612 4433968 4485888 4579344 4637952 4734576 4761477 4837056 4988214 4995648 5067392 5164992 5233536 5410944 5441688 5643232 5700816 5819583 6105792 6219072 6312768 6348636 6449408 6650952 6660864 6869016 6886656 7101864 7255584 7482321 7601088 7759444 7850304 8116416 8141056 8292096 8417024 8464848 8551224 8867936 9158688 9469152 9522954 9674112 9976428 9991296 10134784 10329984 10467072 10821888 10883376 11286464 11401632 11639166 12211584 12438144 12625536 12697272 13301904 13738032 14203728 14511168 14964642 15202176 15518888 15700608 16232832 16929696 17102448 17458749 17735872 18317376 18938304 19045908 19348224 19952856 19982592 20659968 21766752 22572928 22803264 23278332 24423168 24876288 25251072 25394544 26603808 27476064 28407456 29022336 29929284 30404352 31037776 31401216 32465664 33859392 34204896 34917498 35471744 36634752 37876608 38091816 39905712 43533504 45145856 45606528 46556664 50789088 52376247 53207616 54952128 56814912 58044672 59858568 62075552 67718784 68409792 69834996 70943488 73269504 75753216 76183632 79811424 87067008 91213056 93113328 101578176 104752494 106415232 109904256 113629824 119717136 124151104 135437568 136819584 139669992 152367264 159622848 174134016 186226656 203156352 209504988 212830464 219808512 227259648 239434272 248302208 273639168 279339984 304734528 319245696 372453312 406312704 419009976 478868544 496604416 558679968 609469056 638491392 744906624 838019952 957737088 1117359936 1218938112 1489813248 1676039904 1915474176 2234719872 3352079808 4469439744 6704159616 13408319232
- Sum of all divisors σ(n): 52009171200
- Sum of proper divisors (its aliquot sum) s(n): 38600851968
- 13408319232 is an abundant number, because the sum of its proper divisors (38600851968) is greater than itself. Its abundance is 25192532736
Bases of 13408319232
- Binary: 11000111110011001010110111000000002
- Hexadecimal: 0x31F32B700
- Base-36: 65QYTC0
Squares and roots of 13408319232
- 13408319232 squared (134083192322) is 179783024627221069824
- 13408319232 cubed (134083192323) is 2410588186696297901236754055168
-
The
square root of 13408319232 is 115794.2970616429 -
The
cube root of 13408319232 is 2375.6991762805
Scales and comparisons
How big is 13408319232?- 13,408,319,232 seconds is equal to 426 years, 17 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 13,408,319,232 would take you about eight hundred fifty-two 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 13408319232 cubic inches would be around 198 feet tall.
Recreational maths with 13408319232
- 13408319232 backwards is 23291380431
- 13408319232 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13408319232's digits is 36
- More coming soon!
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