13146564956800
13,146,564,956,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13146564956800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
13146564956800 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 13146564956800:
27 × 52 × 11 × 17 × 37 × 631 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 37 × 631 × 941)See below for interesting mathematical facts about the number 13146564956800 from the Numbermatics database.
Names of 13146564956800
- Cardinal: 13146564956800 can be written as Thirteen trillion, one hundred forty-six billion, five hundred sixty-four million, nine hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31465649568 × 1013
Factors of 13146564956800
Divisors of 13146564956800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 37 40 44 50 55 64 68 74 80 85 88 100 110 128 136 148 160 170 176 185 187 200 220 272 275 296 320 340 352 370 374 400 407 425 440 544 550 592 629 631 640 680 704 740 748 800 814 850 880 925 935 941 1088 1100 1184 1258 1262 1360 1408 1480 1496 1600 1628 1700 1760 1850 1870 1882 2035 2176 2200 2368 2516 2524 2720 2960 2992 3145 3155 3200 3256 3400 3520 3700 3740 3764 4070 4400 4675 4705 4736 5032 5048 5440 5920 5984 6290 6310 6512 6800 6919 6941 7040 7400 7480 7528 8140 8800 9350 9410 10064 10096 10175 10351 10727 10880 11840 11968 12580 12620 13024 13600 13838 13882 14800 14960 15056 15725 15775 15997 16280 17600 18700 18820 20128 20192 20350 20702 21454 23347 23525 23680 23936 25160 25240 26048 27200 27676 27764 29600 29920 30112 31450 31550 31994 32560 34595 34705 34817 35200 37400 37640 40256 40384 40700 41404 42908 46694 47050 50320 50480 51755 52096 53635 54400 55352 55528 59200 59840 60224 62900 63100 63988 65120 69190 69410 69634 74800 75280 79985 80512 80768 81400 82808 85816 93388 94100 100640 100960 103510 107270 110704 111056 116735 117997 118400 119680 120448 125800 126200 127976 130240 138380 138820 139268 149600 150560 159970 162800 165616 171632 172975 173525 174085 175967 186776 188200 201280 201920 207020 214540 221408 222112 233470 235994 251600 252400 255952 256817 258775 260480 268175 276760 277640 278536 299200 301120 319940 325600 331232 343264 345950 347050 348170 351934 373552 376400 382987 396899 399925 402560 403840 414040 429080 442816 444224 466940 471988 503200 504800 511904 513634 517550 536350 553520 555280 557072 583675 589985 591889 593771 598400 602240 639880 651200 662464 686528 691900 694100 696340 703868 747104 752800 765974 793798 799850 828080 858160 870425 879835 885632 888448 933880 943976 1006400 1009600 1023808 1027268 1035100 1072700 1107040 1110560 1114144 1167350 1179970 1183778 1187542 1279760 1284085 1302400 1324928 1373056 1383800 1388200 1392680 1407736 1494208 1505600 1531948 1587596 1599700 1656160 1716320 1740850 1759670 1867760 1887952 1914935 1984495 2012800 2019200 2047616 2054536 2070200 2145400 2214080 2221120 2228288 2334700 2359940 2367556 2375084 2559520 2568170 2767600 2776400 2785360 2815472 2949925 2959445 2968855 2988416 3011200 3063896 3175192 3199400 3312320 3432640 3481700 3519340 3735520 3775904 3829870 3968990 4109072 4140400 4290800 4365889 4399175 4428160 4442240 4456576 4669400 4719880 4735112 4750168 5119040 5136340 5535200 5552800 5570720 5630944 5899850 5918890 5937710 6127792 6350384 6398800 6420425 6510779 6531481 6624640 6865280 6963400 7038680 7471040 7551808 7659740 7937980 8218144 8280800 8581600 8731778 8798350 9338800 9439760 9470224 9500336 9574675 9922475 10094107 10238080 10272680 11070400 11105600 11141440 11261888 11799700 11837780 11875420 12255584 12700768 12797600 12840850 13021558 13062962 13926800 14077360 14797225 14844275 14942080 15103616 15319480 15875960 16436288 16561600 17163200 17463556 17596700 18677600 18879520 18940448 19000672 19149350 19844950 20188214 20545360 21829445 21969527 22140800 22211200 22282880 22523776 23599400 23675560 23750840 24511168 25401536 25595200 25681700 26043116 26125924 27853600 28154720 29594450 29688550 30638960 31751920 32553895 32657405 32872576 33123200 34326400 34927112 35193400 37355200 37759040 37880896 38001344 38298700 39689900 40376428 41090720 43658890 43939054 47198800 47351120 47501680 49022336 50470535 50803072 51190400 51363400 52086232 52251848 55707200 56309440 59188900 59377100 61277920 63503840 65107790 65314810 69854224 70386800 74710400 75518080 75761792 76002688 76597400 79379800 80752856 82181440 87317780 87878108 94397600 94702240 95003360 100941070 102726800 104172464 104503696 109147225 109847635 111035177 111414400 112618880 118377800 118754200 122555840 127007680 130215580 130629620 139708448 140773600 153194800 158759600 161505712 162769475 163287025 164362880 174635560 175756216 188795200 189404480 190006720 201882140 205453600 208344928 209007392 218294450 219695270 222070354 236755600 237508400 241664797 245111680 252352675 254015360 260431160 261259240 279416896 281547200 306389600 317519200 323011424 325538950 326574050 349271120 351512432 373481959 377590400 378808960 380013440 403764280 410907200 416689856 418014784 436588900 439390540 444140708 473511200 475016800 483329594 504705350 520862320 522518480 549238175 555175885 558833792 563094400 612779200 635038400 646022848 651077900 653148100 698542240 703024864 746963918 807528560 821814400 833379712 836029568 873177800 878781080 888281416 947022400 950033600 966659188 1009410700 1041724640 1045036960 1098476350 1110351770 1208323985 1225558400 1270076800 1292045696 1302155800 1306296200 1397084480 1406049728 1493927836 1615057120 1746355600 1757562160 1776562832 1867409795 1894044800 1900067200 1933318376 2018821400 2083449280 2090073920 2196952700 2220703540 2416647970 2604311600 2612592400 2775879425 2794168960 2812099456 2987855672 3230114240 3492711200 3515124320 3553125664 3734819590 3866636752 4037642800 4108301549 4166898560 4180147840 4393905400 4441407080 4833295940 5208623200 5225184800 5551758850 5975711344 6041619925 6460228480 6985422400 7030248640 7106251328 7469639180 7733273504 8075285600 8216603098 8787810800 8882814160 9337048975 9666591880 10417246400 10450369600 11103517700 11951422688 12083239850 13970844800 14060497280 14212502656 14939278360 15466547008 16150571200 16433206196 17575621600 17765628320 18674097950 19333183760 20541507745 20834492800 20900739200 22207035400 23902845376 24166479700 29878556720 30933094016 32301142400 32866412392 35151243200 35531256640 37348195900 38666367520 41083015490 44414070800 47805690752 48332959400 59757113440 65732824784 70302486400 71062513280 74696391800 77332735040 82166030980 88828141600 96665918800 102707538725 119514226880 131465649568 149392783600 154665470080 164332061960 177656283200 193331837600 205415077450 239028453760 262931299136 298785567200 328664123920 355312566400 386663675200 410830154900 525862598272 597571134400 657328247840 773327350400 821660309800 1195142268800 1314656495680 1643320619600 2629312991360 3286641239200 6573282478400 13146564956800
- Sum of all divisors σ(n): 38628442978560
- Sum of proper divisors (its aliquot sum) s(n): 25481878021760
- 13146564956800 is an abundant number, because the sum of its proper divisors (25481878021760) is greater than itself. Its abundance is 12335313064960
Bases of 13146564956800
- Binary: 101111110100111011000101010110010010100000002
- Hexadecimal: 0xBF4EC559280
- Base-36: 4NRG5C9Z4
Squares and roots of 13146564956800
- 13146564956800 squared (131465649568002) is 172832170163361785866240000
- 13146564956800 cubed (131465649568003) is 2272149351677346585349376316178432000000
-
The
square root of 13146564956800 is 3625819.2118195855 -
The
cube root of 13146564956800 is 23601.3817997785
Scales and comparisons
How big is 13146564956800?- 13,146,564,956,800 seconds is equal to 418,020 years, 5 weeks, 1 day, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,146,564,956,800 would take you about one million, forty-five thousand and fifty 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 13146564956800 cubic inches would be around 1966.8 feet tall.
Recreational maths with 13146564956800
- 13146564956800 backwards is 00865946564131
- The number of decimal digits it has is: 14
- The sum of 13146564956800's digits is 58
- More coming soon!
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The information we have on file for 13146564956800 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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