13214744148704
13,214,744,148,704 is an even composite number composed of six prime numbers multiplied together.
What does the number 13214744148704 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13214744148704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13214744148704:
25 × 72 × 71 × 73 × 521 × 3121
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 71 × 73 × 521 × 3121)See below for interesting mathematical facts about the number 13214744148704 from the Numbermatics database.
Names of 13214744148704
- Cardinal: 13214744148704 can be written as Thirteen trillion, two hundred fourteen billion, seven hundred forty-four million, one hundred forty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.3214744148704 × 1013
Factors of 13214744148704
Divisors of 13214744148704
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 71 73 98 112 142 146 196 224 284 292 392 497 511 521 568 584 784 994 1022 1042 1136 1168 1568 1988 2044 2084 2272 2336 3121 3479 3577 3647 3976 4088 4168 5183 6242 6958 7154 7294 7952 8176 8336 10366 12484 13916 14308 14588 15904 16352 16672 20732 21847 24968 25529 27832 28616 29176 36281 36991 38033 41464 43694 49936 51058 55664 57232 58352 72562 73982 76066 82928 87388 99872 102116 111328 114464 116704 145124 147964 152132 152929 165856 174776 204232 221591 227833 253967 258937 266231 290248 295928 304264 305858 349552 408464 443182 455666 507934 517874 532462 580496 591856 608528 611716 699104 816928 886364 911332 1015868 1035748 1064924 1160992 1183712 1217056 1223432 1551137 1594831 1626041 1772728 1812559 1822664 1863617 2031736 2071496 2129848 2446864 2700343 3102274 3189662 3252082 3545456 3625118 3645328 3727234 4063472 4142992 4259696 4893728 5400686 6204548 6379324 6504164 7090912 7250236 7290656 7454468 8126944 8285984 8519392 10801372 10857959 11163817 11382287 12409096 12758648 13008328 14500472 14908936 16176143 18902401 21602744 21715918 22327634 22764574 24818192 25517296 26016656 29000944 29817872 32352286 37804802 43205488 43431836 44655268 45529148 49636384 51034592 52033312 58001888 59635744 64704572 75609604 79676009 86410976 86863672 89310536 91058296 113233001 115448911 118700993 129409144 132316807 151219208 159352018 173727344 178621072 182116592 226466002 230897822 237401986 258818288 264633614 302438416 318704036 347454688 357242144 364233184 452932004 461795644 474803972 517636576 529267228 604876832 637408072 792631007 808142377 830906951 905864008 923591288 949607944 1058534456 1274816144 1585262014 1616284754 1661813902 1811728016 1847182576 1899215888 2117068912 2549632288 3170524028 3232569508 3323627804 3623456032 3694365152 3798431776 4234137824 5656996639 5816348657 6341048056 6465139016 6647255608 8427770503 11313993278 11632697314 12682096112 12930278032 13294511216 16855541006 22627986556 23265394628 25364192224 25860556064 26589022432 33711082012 45255973112 46530789256 58994393521 67422164024 90511946224 93061578512 117988787042 134844328048 181023892448 186123157024 235977574084 269688656096 412960754647 471955148168 825921509294 943910296336 1651843018588 1887820592672 3303686037176 6607372074352 13214744148704
- Sum of all divisors σ(n): 31180496260032
- Sum of proper divisors (its aliquot sum) s(n): 17965752111328
- 13214744148704 is an abundant number, because the sum of its proper divisors (17965752111328) is greater than itself. Its abundance is 4751007962624
Bases of 13214744148704
- Binary: 110000000100110011000010000101111010111000002
- Hexadecimal: 0xC04CC217AE0
- Base-36: 4OMRPGZ4W
Squares and roots of 13214744148704
- 13214744148704 squared (132147441487042) is 174629462915706605664879616
- 13214744148704 cubed (132147441487043) is 2307683673256656026387569005048562417664
-
The
square root of 13214744148704 is 3635208.9553014693 -
The
cube root of 13214744148704 is 23642.1110561383
Scales and comparisons
How big is 13214744148704?- 13,214,744,148,704 seconds is equal to 420,187 years, 51 weeks, 2 days, 15 hours, 31 minutes, 44 seconds.
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To count from 1 to 13,214,744,148,704 would take you about one million, fifty thousand, four hundred sixty-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 13214744148704 cubic inches would be around 1970.2 feet tall.
Recreational maths with 13214744148704
- 13214744148704 backwards is 40784144741231
- The number of decimal digits it has is: 14
- The sum of 13214744148704's digits is 50
- More coming soon!
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