13746271968
13,746,271,968 is an even composite number composed of seven prime numbers multiplied together.
13746271968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13746271968:
25 × 33 × 11 × 13 × 31 × 37 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 31 × 37 × 97)See below for interesting mathematical facts about the number 13746271968 from the Numbermatics database.
Names of 13746271968
- Cardinal: 13746271968 can be written as Thirteen billion, seven hundred forty-six million, two hundred seventy-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3746271968 × 1010
Factors of 13746271968
Divisors of 13746271968
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 37 39 44 48 52 54 62 66 72 74 78 88 93 96 97 99 104 108 111 117 124 132 143 144 148 156 176 186 194 198 208 216 222 234 248 264 279 286 288 291 296 297 312 333 341 351 352 372 388 396 403 407 416 429 432 444 468 481 496 528 558 572 582 592 594 624 666 682 702 744 776 792 806 814 837 858 864 873 888 936 962 992 999 1023 1056 1067 1116 1144 1147 1164 1184 1188 1209 1221 1248 1261 1287 1332 1364 1404 1443 1488 1552 1584 1612 1628 1674 1716 1746 1776 1872 1924 1998 2046 2134 2232 2288 2294 2328 2376 2418 2442 2522 2574 2619 2664 2728 2808 2886 2976 3007 3069 3104 3168 3201 3224 3256 3348 3432 3441 3492 3552 3589 3627 3663 3744 3783 3848 3861 3996 4092 4268 4329 4433 4464 4576 4588 4656 4752 4836 4884 5044 5148 5238 5291 5328 5456 5616 5772 6014 6138 6402 6448 6512 6696 6864 6882 6984 7178 7254 7326 7566 7696 7722 7992 8184 8536 8658 8866 8928 9021 9176 9207 9312 9504 9603 9672 9768 10088 10296 10323 10476 10582 10656 10767 10881 10912 10989 11232 11349 11544 12028 12276 12617 12804 12896 12987 13024 13299 13392 13728 13764 13871 13968 14356 14508 14652 14911 15132 15392 15444 15873 15984 16368 17072 17316 17732 18042 18352 18414 19206 19344 19536 20176 20592 20646 20952 21164 21534 21762 21978 22698 23088 24056 24552 25234 25608 25974 26598 26784 27063 27528 27742 27936 28712 28809 29016 29304 29822 30264 30888 30969 31746 31968 32301 32736 33077 34047 34144 34632 35464 36084 36704 36828 37851 38412 38688 39072 39091 39479 39897 40352 41184 41292 41613 41904 42328 43068 43524 43956 44733 45396 46176 46657 47619 48112 49104 50468 51216 51948 53196 54126 55056 55484 57424 57618 58032 58608 59644 60528 61776 61938 63492 64602 66154 68094 69264 70928 72168 73656 75702 76824 78182 78958 79794 81189 82584 83226 83808 84656 86136 87048 87912 89466 90792 93314 95238 96224 96903 98208 99231 100936 102432 103896 106392 108252 110112 110968 111259 113553 114848 115236 116064 117216 117273 118437 119288 119691 121056 123552 123876 124839 126984 129204 132308 134199 136188 138528 139971 141856 142857 144336 147312 151404 153648 156364 157916 159588 162378 164021 165168 166452 169312 172272 174096 175824 178932 181584 186628 190476 193806 198462 201872 207792 212784 216504 221936 222518 227106 230472 234546 236874 238576 239382 247752 249678 253968 258408 264616 268398 272376 279942 285714 288672 294624 297693 302808 307296 312728 315832 319176 324756 328042 330336 332904 333777 340659 344544 348192 351648 351819 355311 357864 363168 373256 374517 380952 387612 396924 402597 403744 415584 419913 425568 430001 433008 443872 445036 454212 460944 469092 473748 477152 478764 492063 495504 499356 507936 513227 516816 529232 536796 544752 559884 571428 595386 605616 625456 631664 638352 649512 656084 665808 667554 681318 703638 710622 715728 746512 749034 761904 775224 793848 805194 839826 860002 866016 890072 893079 908424 921888 938184 947496 957528 984126 991008 998712 1001331 1026454 1033632 1055457 1058464 1065933 1073592 1089504 1119768 1142856 1190772 1211232 1223849 1250912 1259739 1263328 1276704 1290003 1299024 1312168 1331616 1335108 1362636 1407276 1421244 1431456 1446367 1476189 1493024 1498068 1523808 1539681 1550448 1587696 1610388 1679652 1720004 1780144 1786158 1816848 1876368 1894992 1915056 1968252 1997424 2002662 2052908 2110914 2131866 2147184 2239536 2285712 2381544 2447698 2519478 2580006 2598048 2624336 2670216 2725272 2814552 2842488 2892734 2952378 2996136 3003993 3079362 3100896 3175392 3220776 3359304 3440008 3560288 3572316 3633696 3671547 3752736 3789984 3830112 3870009 3936504 3994848 4005324 4105816 4221828 4263732 4294368 4339101 4428567 4479072 4571424 4619043 4763088 4895396 5038956 5160012 5248672 5340432 5450544 5629104 5684976 5785468 5904756 5992272 6007986 6158724 6441552 6718608 6880016 7144632 7343094 7740018 7873008 8010648 8211632 8443656 8527464 8678202 8857134 9238086 9526176 9790792 10077912 10320024 10680864 10901088 11014641 11258208 11369952 11570936 11610027 11809512 11984544 12015972 12317448 12883104 13017303 13437216 13760032 13857129 14289264 14686188 15480036 15746016 15910037 16021296 16423264 16887312 17054928 17356404 17714268 18476172 19581584 20155824 20640048 22029282 23141872 23220054 23619024 24031944 24634896 26034606 27714258 28578528 29372376 30960072 31820074 32042592 33043923 33774624 34109856 34712808 35428536 36952344 39051909 39163168 40311648 41280096 44058564 46283744 46440108 47238048 47730111 48063888 49269792 52069212 55428516 58744752 61920144 63640148 66087846 69425616 70857072 73904688 78103818 88117128 92880216 95460222 96127776 104138424 110857032 117489504 123840288 127280296 132175692 138851232 141714144 143190333 147809376 156207636 176234256 185760432 190920444 208276848 221714064 254560592 264351384 286380666 312415272 352468512 371520864 381840888 416553696 429570999 443428128 509121184 528702768 572761332 624830544 763681776 859141998 1057405536 1145522664 1249661088 1527363552 1718283996 2291045328 3436567992 4582090656 6873135984 13746271968
- Sum of all divisors σ(n): 50450964480
- Sum of proper divisors (its aliquot sum) s(n): 36704692512
- 13746271968 is an abundant number, because the sum of its proper divisors (36704692512) is greater than itself. Its abundance is 22958420544
Bases of 13746271968
- Binary: 11001100110101011101110110111000002
- Hexadecimal: 0x3335776E0
- Base-36: 6BC6BC0
Squares and roots of 13746271968
- 13746271968 squared (137462719682) is 188959993018222593024
- 13746271968 cubed (137462719683) is 2597495455099868943670083551232
-
The
square root of 13746271968 is 117244.4965360847 -
The
cube root of 13746271968 is 2395.4933930023
Scales and comparisons
How big is 13746271968?- 13,746,271,968 seconds is equal to 437 years, 4 weeks, 4 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,746,271,968 would take you about eight hundred seventy-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 13746271968 cubic inches would be around 199.6 feet tall.
Recreational maths with 13746271968
- 13746271968 backwards is 86917264731
- 13746271968 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13746271968's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13746271968 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/13746271968/
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The information we have on file for 13746271968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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