13724465664
13,724,465,664 is an even composite number composed of five prime numbers multiplied together.
13724465664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13724465664:
29 × 3 × 72 × 133 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 13 × 83)See below for interesting mathematical facts about the number 13724465664 from the Numbermatics database.
Names of 13724465664
- Cardinal: 13724465664 can be written as Thirteen billion, seven hundred twenty-four million, four hundred sixty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3724465664 × 1010
Factors of 13724465664
Divisors of 13724465664
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 83 84 91 96 98 104 112 128 147 156 166 168 169 182 192 196 208 224 249 256 273 294 312 332 336 338 364 384 392 416 448 498 507 512 546 581 588 624 637 664 672 676 728 768 784 832 896 996 1014 1079 1092 1162 1176 1183 1248 1274 1328 1344 1352 1456 1536 1568 1664 1743 1792 1911 1992 2028 2158 2184 2197 2324 2352 2366 2496 2548 2656 2688 2704 2912 3136 3237 3328 3486 3549 3584 3822 3984 4056 4067 4316 4368 4394 4648 4704 4732 4992 5096 5312 5376 5408 5824 6272 6474 6591 6656 6972 7098 7553 7644 7968 8112 8134 8281 8632 8736 8788 9296 9408 9464 9984 10192 10624 10752 10816 11648 12201 12544 12948 13182 13944 14027 14196 15106 15288 15379 15936 16224 16268 16562 17264 17472 17576 18592 18816 18928 19968 20384 21248 21632 22659 23296 24402 24843 25088 25896 26364 27888 28054 28392 30212 30576 30758 31872 32448 32536 33124 34528 34944 35152 37184 37632 37856 40768 42081 42496 43264 45318 46137 46592 48804 49686 51792 52728 52871 55776 56108 56784 60424 61152 61516 63744 64896 65072 66248 69056 69888 70304 74368 75264 75712 81536 84162 86528 90636 92274 97608 98189 99372 103584 105456 105742 107653 111552 112216 113568 120848 122304 123032 127488 129792 130144 132496 138112 139776 140608 148736 151424 158613 163072 168324 181272 182351 184548 195216 196378 198744 207168 210912 211484 215306 223104 224432 227136 241696 244608 246064 259584 260288 264992 276224 281216 294567 297472 302848 317226 322959 326144 336648 362544 364702 369096 390432 392756 397488 414336 421824 422968 430612 446208 448864 454272 483392 489216 492128 520576 529984 547053 552448 562432 589134 605696 634452 645918 673296 687323 725088 729404 738192 780864 785512 794976 828672 843648 845936 861224 892416 897728 908544 966784 978432 984256 1041152 1059968 1094106 1124864 1178268 1268904 1276457 1291836 1346592 1374646 1450176 1458808 1476384 1561728 1571024 1589952 1657344 1687296 1691872 1722448 1795456 1817088 1933568 1968512 2061969 2082304 2119936 2188212 2356536 2537808 2552914 2583672 2693184 2749292 2900352 2917616 2952768 3123456 3142048 3179904 3374592 3383744 3444896 3590912 3829371 3867136 3937024 4123938 4239872 4376424 4713072 5075616 5105828 5167344 5386368 5498584 5800704 5835232 5905536 6246912 6284096 6359808 6767488 6889792 7181824 7658742 7874048 8247876 8752848 8935199 9426144 10151232 10211656 10334688 10772736 10997168 11601408 11670464 11811072 12568192 12719616 13534976 13779584 15317484 16495752 17505696 17870398 18852288 20302464 20423312 20669376 21545472 21994336 23340928 23622144 25136384 26805597 27069952 27559168 30634968 32991504 35011392 35740796 37704576 40604928 40846624 41338752 43988672 46681856 50272768 53611194 55118336 61269936 65983008 70022784 71481592 75409152 81209856 81693248 82677504 87977344 93363712 107222388 122539872 131966016 140045568 142963184 150818304 163386496 165355008 175954688 214444776 245079744 263932032 280091136 285926368 326772992 351909376 428889552 490159488 527864064 571852736 653545984 857779104 980318976 1055728128 1143705472 1715558208 1960637952 2287410944 3431116416 4574821888 6862232832 13724465664
- Sum of all divisors σ(n): 46630140480
- Sum of proper divisors (its aliquot sum) s(n): 32905674816
- 13724465664 is an abundant number, because the sum of its proper divisors (32905674816) is greater than itself. Its abundance is 19181209152
Bases of 13724465664
- Binary: 11001100100000101010111010000000002
- Hexadecimal: 0x3320ABA00
- Base-36: 6AZ6XHC
Squares and roots of 13724465664
- 13724465664 squared (137244656642) is 188360957762314960896
- 13724465664 cubed (137244656643) is 2585153497247045953970654674944
-
The
square root of 13724465664 is 117151.4646259277 -
The
cube root of 13724465664 is 2394.2260311191
Scales and comparisons
How big is 13724465664?- 13,724,465,664 seconds is equal to 436 years, 20 weeks, 3 days, 23 hours, 34 minutes, 24 seconds.
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To count from 1 to 13,724,465,664 would take you about eight hundred seventy-two 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 13724465664 cubic inches would be around 199.5 feet tall.
Recreational maths with 13724465664
- 13724465664 backwards is 46656442731
- 13724465664 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13724465664's digits is 48
- More coming soon!
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