384225496506132138816
384,225,496,506,132,138,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 384225496506132138816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
384225496506132138816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 384225496506132138816:
26 × 3 × 7 × 83 × 4923467 × 699580649
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 83 × 4923467 × 699580649)See below for interesting mathematical facts about the number 384225496506132138816 from the Numbermatics database.
Names of 384225496506132138816
- Cardinal: 384225496506132138816 can be written as Three hundred eighty-four quintillion, two hundred twenty-five quadrillion, four hundred ninety-six trillion, five hundred six billion, one hundred thirty-two million, one hundred thirty-eight thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.84225496506132138816 × 1020
Factors of 384225496506132138816
Divisors of 384225496506132138816
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 996 1162 1328 1344 1743 1992 2324 2656 3486 3984 4648 5312 6972 7968 9296 13944 15936 18592 27888 37184 55776 111552 4923467 9846934 14770401 19693868 29540802 34464269 39387736 59081604 68928538 78775472 103392807 118163208 137857076 157550944 206785614 236326416 275714152 315101888 408647761 413571228 472652832 551428304 699580649 817295522 827142456 945305664 1102856608 1225943283 1399161298 1634591044 1654284912 2098741947 2205713216 2451886566 2798322596 2860534327 3269182088 3308569824 4197483894 4897064543 4903773132 5596645192 5721068654 6538364176 6617139648 8394967788 8581602981 9794129086 9807546264 11193290384 11442137308 13076728352 14691193629 16789935576 17163205962 19588258172 19615092528 22386580768 22884274616 26153456704 29382387258 33579871152 34326411924 39176516344 39230185056 44773161536 45768549232 58065193867 58764774516 67159742304 68652823848 78353032688 78460370112 91537098464 116130387734 117529549032 134319484608 137305647696 156706065376 174195581601 183074196928 232260775468 235059098064 274611295392 313412130752 348391163202 406456357069 464521550936 470118196128 549222590784 696782326404 812912714138 929043101872 940236392256 1219369071207 1393564652808 1625825428276 1858086203744 2438738142414 2787129305616 3251650856552 3716172407488 4877476284828 5574258611232 6503301713104 9754952569656 11148517222464 13006603426208 19509905139312 26013206852416 39019810278624 78039620557248 3444362239190083 6888724478380166 10333086717570249 13777448956760332 20666173435140498 24110535674330581 27554897913520664 41332346870280996 48221071348661162 55109795827041328 72331607022991743 82664693740561992 96442142697322324 110219591654082656 144663214045983486 165329387481123984 192884285394644648 220439183308165312 285882065852776889 289326428091966972 330658774962247968 385768570789289296 571764131705553778 578652856183933944 661317549924495936 771537141578578592 857646197558330667 1143528263411107556 1157305712367867888 1543074283157157184 1715292395116661334 2001174460969438223 2287056526822215112 2314611424735735776 3430584790233322668 4002348921938876446 4574113053644430224 4629222849471471552 6003523382908314669 6861169580466645336 8004697843877752892 9148226107288860448 12007046765816629338 13722339160933290672 16009395687755505784 18296452214577720896 24014093531633258676 27444678321866581344 32018791375511011568 48028187063266517352 54889356643733162688 64037582751022023136 96056374126533034704 128075165502044046272 192112748253066069408 384225496506132138816
- Sum of all divisors σ(n): 1175822844266551219200
- Sum of proper divisors (its aliquot sum) s(n): 791597347760419080384
- 384225496506132138816 is an abundant number, because the sum of its proper divisors (791597347760419080384) is greater than itself. Its abundance is 407371851254286941568
Bases of 384225496506132138816
- Binary: 1010011010100001100110010110101011011110000000001100100001011010000002
- Hexadecimal: 0x14D4332D5BC0190B40
- Base-36: 2935Y38VYSOVUO
Squares and roots of 384225496506132138816
- 384225496506132138816 squared (3842254965061321388162) is 147629232165383760412406647414458693881856
- 384225496506132138816 cubed (3842254965061321388163) is 56722915027563628402431614351481795906084262137885590895722496
-
The
square root of 384225496506132138816 is 19601670758.0280548599 -
The
cube root of 384225496506132138816 is 7269904.8510657573
Scales and comparisons
How big is 384225496506132138816?- 384,225,496,506,132,138,816 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 384,225,496,506,132,138,816 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 384225496506132138816 cubic inches would be around 605825.4 feet tall.
Recreational maths with 384225496506132138816
- 384225496506132138816 backwards is 618831231605694522483
- The number of decimal digits it has is: 21
- The sum of 384225496506132138816's digits is 87
- More coming soon!
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