13041841946523268320
13,041,841,946,523,268,320 is an even composite number composed of six prime numbers multiplied together.
13041841946523268320 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 13041841946523268320:
25 × 32 × 5 × 13 × 6247 × 111522265273
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 6247 × 111522265273)See below for interesting mathematical facts about the number 13041841946523268320 from the Numbermatics database.
Names of 13041841946523268320
- Cardinal: 13041841946523268320 can be written as Thirteen quintillion, forty-one quadrillion, eight hundred forty-one trillion, nine hundred forty-six billion, five hundred twenty-three million, two hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.304184194652326832 × 1019
Factors of 13041841946523268320
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 111522271543
Divisors of 13041841946523268320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 6247 9360 12494 18720 18741 24988 31235 37482 49976 56223 62470 74964 81211 93705 99952 112446 124940 149928 162422 187410 199904 224892 243633 249880 281115 299856 324844 374820 406055 449784 487266 499760 562230 599712 649688 730899 749640 812110 899568 974532 999520 1124460 1218165 1299376 1461798 1499280 1624220 1799136 1949064 2248920 2436330 2598752 2923596 2998560 3248440 3654495 3898128 4497840 4872660 5847192 6496880 7308990 7796256 8995680 9745320 11694384 12993760 14617980 19490640 23388768 29235960 38981280 58471920 116943840 111522265273 223044530546 334566795819 446089061092 557611326365 669133591638 892178122184 1003700387457 1115222652730 1338267183276 1449789448549 1672833979095 1784356244368 2007400774914 2230445305460 2676534366552 2899578897098 3345667958190 3568712488736 4014801549828 4349368345647 4460890610920 5018501937285 5353068733104 5799157794196 6691335916380 7248947242745 8029603099656 8698736691294 8921781221840 10037003874570 10706137466208 11598315588392 13048105036941 13382671832760 14497894485490 16059206199312 17397473382588 17843562443680 20074007749140 21746841728235 23196631176784 26096210073882 26765343665520 28995788970980 32118412398624 34794946765176 40148015498280 43493683456470 46393262353568 52192420147764 53530687331040 57991577941960 65240525184705 69589893530352 80296030996560 86987366912940 104384840295528 115983155883920 130481050369410 139179787060704 160592061993120 173974733825880 208769680591056 231966311767840 260962100738820 347949467651760 417539361182112 521924201477640 695898935303520 696679591160431 1043848402955280 1393359182320862 2087696805910560 2090038773481293 2786718364641724 3483397955802155 4180077546962586 5573436729283448 6270116320443879 6966795911604310 8360155093925172 9056834685085603 10450193867406465 11146873458566896 12540232640887758 13933591823208620 16720310187850344 18113669370171206 20900387734812930 22293746917133792 25080465281775516 27170504055256809 27867183646417240 31350581602219395 33440620375700688 36227338740342412 41800775469625860 45284173425428015 50160930563551032 54341008110513618 55734367292834480 62701163204438790 66881240751401376 72454677480684824 81511512165770427 83601550939251720 90568346850856030 100321861127102064 108682016221027236 111468734585668960 125402326408877580 135852520276284045 144909354961369648 163023024331540854 167203101878503440 181136693701712060 200643722254204128 217364032442054472 250804652817755160 271705040552568090 289818709922739296 326046048663081708 334406203757006880 362273387403424120 407557560828852135 434728064884108944 501609305635510320 543410081105136180 652092097326163416 724546774806848240 815115121657704270 869456129768217888 1003218611271020640 1086820162210272360 1304184194652326832 1449093549613696480 1630230243315408540 2173640324420544720 2608368389304653664 3260460486630817080 4347280648841089440 6520920973261634160 13041841946523268320
- Sum of all divisors σ(n): 47936441439664569792
- Sum of proper divisors (its aliquot sum) s(n): 34894599493141301472
- 13041841946523268320 is an abundant number, because the sum of its proper divisors (34894599493141301472) is greater than itself. Its abundance is 21852757546618033152
Bases of 13041841946523268320
- Binary: 10110100111111011110111000100110110101110100111011110100111000002
- Hexadecimal: 0xB4FDEE26D74EF4E0
- Base-36: 2R3374MUBKAG0
Squares and roots of 13041841946523268320
- 13041841946523268320 squared (130418419465232683202) is 170089641358093832365851711174715622400
- 13041841946523268320 cubed (130418419465232683203) is 2218282219333087070435709542878723989113335860611002368000
-
The
square root of 13041841946523268320 is 3611349048.0045359803 -
The
cube root of 13041841946523268320 is 2353854.6634865445
Scales and comparisons
How big is 13041841946523268320?- 13,041,841,946,523,268,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,041,841,946,523,268,320 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 13041841946523268320 cubic inches would be around 196154.6 feet tall.
Recreational maths with 13041841946523268320
- 13041841946523268320 backwards is 02386232564914814031
- 13041841946523268320 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13041841946523268320's digits is 72
- More coming soon!
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