13804416323584000
13,804,416,323,584,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13804416323584000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 384 divisors.
13804416323584000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13804416323584000:
215 × 53 × 61 × 74332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 61 × 7433 × 7433)See below for interesting mathematical facts about the number 13804416323584000 from the Numbermatics database.
Names of 13804416323584000
- Cardinal: 13804416323584000 can be written as Thirteen quadrillion, eight hundred four trillion, four hundred sixteen billion, three hundred twenty-three million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3804416323584 × 1016
Factors of 13804416323584000
Divisors of 13804416323584000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 128 160 200 244 250 256 305 320 400 488 500 512 610 640 800 976 1000 1024 1220 1280 1525 1600 1952 2000 2048 2440 2560 3050 3200 3904 4000 4096 4880 5120 6100 6400 7433 7625 7808 8000 8192 9760 10240 12200 12800 14866 15250 15616 16000 16384 19520 20480 24400 25600 29732 30500 31232 32000 32768 37165 39040 40960 48800 51200 59464 61000 62464 64000 74330 78080 81920 97600 102400 118928 122000 124928 128000 148660 156160 163840 185825 195200 204800 237856 244000 249856 256000 297320 312320 371650 390400 409600 453413 475712 488000 499712 512000 594640 624640 743300 780800 819200 906826 929125 951424 976000 999424 1024000 1189280 1249280 1486600 1561600 1813652 1858250 1902848 1952000 1998848 2048000 2267065 2378560 2498560 2973200 3123200 3627304 3716500 3805696 3904000 4096000 4534130 4757120 4997120 5946400 6246400 7254608 7433000 7611392 7808000 9068260 9514240 9994240 11335325 11892800 12492800 14509216 14866000 15222784 15616000 18136520 19028480 22670650 23785600 24985600 29018432 29732000 30445568 31232000 36273040 38056960 45341300 47571200 49971200 55249489 56676625 58036864 59464000 60891136 62464000 72546080 76113920 90682600 95142400 110498978 113353250 116073728 118928000 121782272 124928000 145092160 152227840 181365200 190284800 220997956 226706500 232147456 237856000 243564544 249856000 276247445 290184320 304455680 362730400 380569600 441995912 453413000 464294912 475712000 552494890 580368640 608911360 725460800 761139200 883991824 906826000 928589824 951424000 1104989780 1160737280 1217822720 1381237225 1450921600 1522278400 1767983648 1813652000 1857179648 1902848000 2209979560 2321474560 2762474450 2901843200 3044556800 3370218829 3535967296 3627304000 3714359296 3805696000 4419959120 4642949120 5524948900 5803686400 6089113600 6740437658 6906186125 7071934592 7254608000 7428718592 7611392000 8839918240 9285898240 11049897800 11607372800 13480875316 13812372250 14143869184 14509216000 14857437184 15222784000 16851094145 17679836480 18571796480 22099795600 23214745600 26961750632 27624744500 28287738368 29018432000 30445568000 33702188290 35359672960 37143592960 44199591200 46429491200 53923501264 55249489000 56575476736 58036864000 67404376580 70719345920 74287185920 84255470725 88399182400 92858982400 107847002528 110498978000 113150953472 116073728000 134808753160 141438691840 168510941450 176798364800 185717964800 215694005056 220997956000 226301906944 232147456000 269617506320 282877383680 337021882900 353596729600 371435929600 421277353625 431388010112 441995912000 452603813888 464294912000 539235012640 565754767360 674043765800 707193459200 842554707250 862776020224 883991824000 905207627776 928589824000 1078470025280 1131509534720 1348087531600 1414386918400 1685109414500 1725552040448 1767983648000 1810415255552 1857179648000 2156940050560 2263019069440 2696175063200 2828773836800 3370218829000 3451104080896 3535967296000 4313880101120 4526038138880 5392350126400 5657547673600 6740437658000 6902208161792 7071934592000 8627760202240 9052076277760 10784700252800 11315095347200 13480875316000 13804416323584 14143869184000 17255520404480 21569400505600 22630190694400 26961750632000 27608832647168 28287738368000 34511040808960 43138801011200 45260381388800 53923501264000 55217665294336 56575476736000 69022081617920 86277602022400 107847002528000 110435330588672 113150953472000 138044163235840 172555204044800 215694005056000 226301906944000 276088326471680 345110408089600 431388010112000 552176652943360 690220816179200 862776020224000 1380441632358400 1725552040448000 2760883264716800 3451104080896000 6902208161792000 13804416323584000
- Sum of all divisors σ(n): 35024850404841960
- Sum of proper divisors (its aliquot sum) s(n): 21220434081257960
- 13804416323584000 is an abundant number, because the sum of its proper divisors (21220434081257960) is greater than itself. Its abundance is 7416017757673960
Bases of 13804416323584000
- Binary: 1100010000101100001011001000110100110010000000000000002
- Hexadecimal: 0x310B0B234C8000
- Base-36: 3RX99B7LEKG
Squares and roots of 13804416323584000
- 13804416323584000 squared (138044163235840002) is 190561910034832398594605056000000
- 13804416323584000 cubed (138044163235840003) is 2630595941538186017188950415563978440704000000000
-
The
square root of 13804416323584000 is 117492196.8625321091 -
The
cube root of 13804416323584000 is 239886.6149803505
Scales and comparisons
How big is 13804416323584000?- 13,804,416,323,584,000 seconds is equal to 438,937,739 years, 11 weeks, 5 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,804,416,323,584,000 would take you about one billion, three hundred sixteen million, eight hundred thirteen thousand, two hundred seventeen 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 13804416323584000 cubic inches would be around 19990.6 feet tall.
Recreational maths with 13804416323584000
- 13804416323584000 backwards is 00048532361440831
- The number of decimal digits it has is: 17
- The sum of 13804416323584000's digits is 52
- More coming soon!
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