13006348424208
13,006,348,424,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 13006348424208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 400 divisors.
13006348424208 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 13006348424208:
24 × 34 × 37 × 73 × 433 × 8581
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 37 × 73 × 433 × 8581)See below for interesting mathematical facts about the number 13006348424208 from the Numbermatics database.
Names of 13006348424208
- Cardinal: 13006348424208 can be written as Thirteen trillion, six billion, three hundred forty-eight million, four hundred twenty-four thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.3006348424208 × 1013
Factors of 13006348424208
Divisors of 13006348424208
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 73 74 81 108 111 144 146 148 162 216 219 222 292 296 324 333 432 433 438 444 584 592 648 657 666 866 876 888 999 1168 1296 1299 1314 1332 1732 1752 1776 1971 1998 2598 2628 2664 2701 2997 3464 3504 3897 3942 3996 5196 5256 5328 5402 5913 5994 6928 7794 7884 7992 8103 8581 10392 10512 10804 11691 11826 11988 15588 15768 15984 16021 16206 17162 20784 21608 23382 23652 23976 24309 25743 31176 31536 31609 32042 32412 34324 35073 43216 46764 47304 47952 48063 48618 51486 62352 63218 64084 64824 68648 70146 72927 77229 93528 94608 94827 96126 97236 102972 126436 128168 129648 137296 140292 144189 145854 154458 187056 189654 192252 194472 205944 218781 231687 252872 256336 280584 284481 288378 291708 308916 317497 379308 384504 388944 411888 432567 437562 463374 505744 561168 568962 576756 583416 617832 626413 634994 695061 758616 769008 853443 865134 875124 926748 952491 1137924 1153512 1166832 1169533 1235664 1252826 1269988 1297701 1390122 1517232 1706886 1730268 1750248 1853496 1879239 1904982 2275848 2307024 2339066 2505652 2539976 2560329 2595402 2780244 2857473 3413772 3460536 3500496 3508599 3706992 3715573 3758478 3809964 4551696 4678132 5011304 5079952 5120658 5190804 5560488 5637717 5714946 6827544 6921072 7017198 7431146 7516956 7619928 8572419 9356264 10022608 10241316 10381608 10525797 11120976 11146719 11275434 11429892 13655088 14034396 14862292 15033912 15239856 16913151 17144838 18712528 20482632 20763216 21051594 22293438 22550868 22859784 23177281 25717257 28068792 29724584 30067824 31577391 33440157 33826302 34289676 40965264 42103188 44586876 45101736 45719568 46354562 50739453 51434514 56137584 59449168 63154782 66880314 67652604 68579352 69531843 84206376 89173752 90203472 92709124 94732173 100320471 101478906 102869028 126309564 133760628 135305208 137158704 137476201 139063686 168412752 178347504 185418248 189464346 200640942 202957812 205738056 208595529 252619128 267521256 270610416 271236829 274952402 278127372 300961413 370836496 378928692 401281884 405915624 411476112 412428603 417191058 505238256 535042512 542473658 549904804 556254744 601922826 625786587 757857384 802563768 811831248 813710487 824857206 834382116 1084947316 1099809608 1112509488 1203845652 1237285809 1251573174 1515714768 1605127536 1627420974 1649714412 1668764232 1877359761 2169894632 2199619216 2407691304 2441131461 2474571618 2503146348 3254841948 3299428824 3337528464 3711857427 3754719522 4339789264 4815382608 4882262922 4949143236 5006292696 6509683896 6598857648 7323394383 7423714854 7509439044 9764525844 9898286472 10012585392 10035762673 11135572281 13019367792 14646788766 14847429708 15018878088 19529051688 19796572944 20071525346 21970183149 22271144562 29293577532 29694859416 30037756176 30107288019 39058103376 40143050692 43940366298 44542289124 58587155064 59389718832 60214576038 80286101384 87880732596 89084578248 90321864057 117174310128 120429152076 160572202768 175761465192 178169156496 180643728114 240858304152 270965592171 351522930384 361287456228 481716608304 541931184342 722574912456 812896776513 1083862368684 1445149824912 1625793553026 2167724737368 3251587106052 4335449474736 6503174212104 13006348424208
- Sum of all divisors σ(n): 39286254001456
- Sum of proper divisors (its aliquot sum) s(n): 26279905577248
- 13006348424208 is an abundant number, because the sum of its proper divisors (26279905577248) is greater than itself. Its abundance is 13273557153040
Bases of 13006348424208
- Binary: 101111010100010001101100011100010100000100002
- Hexadecimal: 0xBD446C71410
- Base-36: 4LZ181D00
Squares and roots of 13006348424208
- 13006348424208 squared (130063484242082) is 169165099331897924720427264
- 13006348424208 cubed (130063484242083) is 2200220223126420366777434554074880806912
-
The
square root of 13006348424208 is 3606431.5360488961 -
The
cube root of 13006348424208 is 23517.1737594765
Scales and comparisons
How big is 13006348424208?- 13,006,348,424,208 seconds is equal to 413,561 years, 33 weeks, 5 days, 2 hours, 16 minutes, 48 seconds.
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To count from 1 to 13,006,348,424,208 would take you about one million, thirty-three thousand, nine hundred four 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 13006348424208 cubic inches would be around 1959.8 feet tall.
Recreational maths with 13006348424208
- 13006348424208 backwards is 80242484360031
- The number of decimal digits it has is: 14
- The sum of 13006348424208's digits is 45
- More coming soon!
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