13584133920
13,584,133,920 is an even composite number composed of seven prime numbers multiplied together.
13584133920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13584133920:
25 × 3 × 5 × 7 × 61 × 191 × 347
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 61 × 191 × 347)See below for interesting mathematical facts about the number 13584133920 from the Numbermatics database.
Names of 13584133920
- Cardinal: 13584133920 can be written as Thirteen billion, five hundred eighty-four million, one hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.358413392 × 1010
Factors of 13584133920
Divisors of 13584133920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 70 80 84 96 105 112 120 122 140 160 168 183 191 210 224 240 244 280 305 336 347 366 382 420 427 480 488 560 573 610 672 694 732 764 840 854 915 955 976 1041 1120 1146 1220 1281 1337 1388 1464 1528 1680 1708 1735 1830 1910 1952 2082 2135 2292 2429 2440 2562 2674 2776 2865 2928 3056 3360 3416 3470 3660 3820 4011 4164 4270 4584 4858 4880 5124 5205 5348 5552 5730 5856 6112 6405 6685 6832 6940 7287 7320 7640 8022 8328 8540 9168 9716 9760 10248 10410 10696 11104 11460 11651 12145 12810 13370 13664 13880 14574 14640 15280 16044 16656 17080 18336 19432 20055 20496 20820 21167 21392 22920 23302 24290 25620 26740 27760 29148 29280 30560 32088 33312 34160 34953 36435 38864 40110 40992 41640 42334 42784 45840 46604 48580 51240 53480 55520 58255 58296 63501 64176 66277 68320 69906 72870 77728 80220 81557 83280 84668 91680 93208 97160 102480 105835 106960 116510 116592 127002 128352 132554 139812 145740 148169 160440 163114 166560 169336 174765 186416 194320 198831 204960 211670 213920 233020 233184 244671 254004 265108 279624 291480 296338 317505 320880 326228 331385 338672 349530 372832 388640 397662 407785 423340 444507 463939 466040 489342 508008 530216 559248 582960 592676 635010 641760 652456 662770 677344 699060 740845 795324 815570 846680 889014 927878 932080 978684 994155 1016016 1060432 1118496 1165920 1185352 1223355 1270020 1304912 1325540 1391817 1398120 1481690 1590648 1631140 1693360 1778028 1855756 1864160 1957368 1988310 2032032 2120864 2222535 2319695 2370704 2446710 2540040 2609824 2651080 2783634 2796240 2963380 3181296 3262280 3386720 3556056 3711512 3914736 3976620 4042897 4445070 4639390 4741408 4893420 5080080 5302160 5567268 5592480 5926760 6362592 6524560 6959085 7112112 7423024 7829472 7953240 8085794 8890140 9278780 9786840 10160160 10604320 11134536 11853520 12128691 13049120 13918170 14224224 14846048 15906480 16171588 17780280 18557560 19573680 20214485 22269072 23707040 24257382 27836340 28300279 31812960 32343176 35560560 37115120 39147360 40428970 44538144 48514764 55672680 56600558 60643455 64686352 71121120 74230240 80857940 84900837 97029528 111345360 113201116 121286910 129372704 141501395 161715880 169801674 194059056 222690720 226402232 242573820 283002790 323431760 339603348 388118112 424504185 452804464 485147640 566005580 646863520 679206696 849008370 905608928 970295280 1132011160 1358413392 1698016740 1940590560 2264022320 2716826784 3396033480 4528044640 6792066960 13584133920
- Sum of all divisors σ(n): 50108792832
- Sum of proper divisors (its aliquot sum) s(n): 36524658912
- 13584133920 is an abundant number, because the sum of its proper divisors (36524658912) is greater than itself. Its abundance is 22940524992
Bases of 13584133920
- Binary: 11001010011010110101101111001000002
- Hexadecimal: 0x329AD6F20
- Base-36: 68NN4TC
Squares and roots of 13584133920
- 13584133920 squared (135841339202) is 184528694356494566400
- 13584133920 cubed (135841339203) is 2506662496221370411729932288000
-
The
square root of 13584133920 is 116550.9927885645 -
The
cube root of 13584133920 is 2386.0377922727
Scales and comparisons
How big is 13584133920?- 13,584,133,920 seconds is equal to 431 years, 48 weeks, 3 days, 18 hours, 32 minutes.
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To count from 1 to 13,584,133,920 would take you about eight hundred sixty-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 13584133920 cubic inches would be around 198.8 feet tall.
Recreational maths with 13584133920
- 13584133920 backwards is 02933148531
- The number of decimal digits it has is: 11
- The sum of 13584133920's digits is 39
- More coming soon!
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