13146928800
13,146,928,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13146928800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
13146928800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13146928800:
25 × 3 × 52 × 23 × 37 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 37 × 41 × 157)See below for interesting mathematical facts about the number 13146928800 from the Numbermatics database.
Names of 13146928800
- Cardinal: 13146928800 can be written as Thirteen billion, one hundred forty-six million, nine hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31469288 × 1010
Factors of 13146928800
Divisors of 13146928800
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 37 40 41 46 48 50 60 69 74 75 80 82 92 96 100 111 115 120 123 138 148 150 157 160 164 184 185 200 205 222 230 240 246 276 296 300 314 328 345 368 370 400 410 444 460 471 480 492 552 555 575 592 600 615 628 656 690 736 740 785 800 820 851 888 920 925 942 943 984 1025 1104 1110 1150 1184 1200 1230 1256 1312 1380 1480 1517 1570 1640 1702 1725 1776 1840 1850 1884 1886 1968 2050 2208 2220 2300 2355 2400 2460 2512 2553 2760 2775 2829 2960 3034 3075 3140 3280 3404 3450 3552 3611 3680 3700 3768 3772 3925 3936 4100 4255 4440 4551 4600 4710 4715 4920 5024 5106 5520 5550 5658 5809 5920 6068 6150 6280 6437 6560 6808 6900 7222 7400 7536 7544 7585 7850 8200 8510 8880 9102 9200 9420 9430 9840 10212 10833 11040 11100 11316 11618 11775 12136 12300 12560 12765 12874 13616 13800 14145 14444 14800 15072 15088 15170 15700 16400 17020 17427 17760 18055 18204 18400 18840 18860 19311 19680 20424 21275 21666 22200 22632 22755 23236 23550 23575 24272 24600 25120 25530 25748 27232 27600 28290 28888 29045 29600 30176 30340 31400 32185 32800 34040 34854 34891 36110 36408 37680 37720 37925 38622 40848 42550 43332 44400 45264 45510 46472 47100 47150 48544 49200 51060 51496 54165 55200 56580 57776 58090 60680 62800 63825 64370 68080 69708 69782 70725 72220 72816 75360 75440 75850 77244 81696 85100 86664 87135 88800 90275 90528 91020 92944 94200 94300 96555 98400 102120 102992 104673 108330 113160 113775 115552 116180 121360 125600 127650 128740 133607 136160 139416 139564 141450 144440 145225 145632 148051 150880 151700 154488 160925 170200 173328 174270 174455 180550 182040 185888 188400 188600 193110 204240 205984 209346 216660 226320 227550 232360 238169 242720 255300 257480 267214 270825 278832 279128 282900 288880 290450 296102 303400 308976 321850 340400 346656 348540 348910 361100 364080 376800 377200 386220 400821 408480 418692 433320 435675 444153 452640 455100 464720 476338 482775 510600 514960 523365 534428 541650 557664 558256 565800 577760 580900 592204 606800 617952 643700 668035 680800 697080 697820 714507 722200 728160 740255 754400 772440 801642 837384 866640 871350 872275 888306 910200 929440 952676 965550 1021200 1029920 1046730 1068856 1083300 1116512 1131600 1161800 1184408 1190845 1213600 1287400 1336070 1394160 1395640 1429014 1444400 1480510 1544880 1603284 1674768 1733280 1742700 1744550 1776612 1820400 1905352 1931100 2004105 2042400 2093460 2137712 2166600 2220765 2263200 2323600 2368816 2381690 2574800 2616825 2672140 2788320 2791280 2858028 2888800 2961020 3089760 3206568 3340175 3349536 3485400 3489100 3553224 3572535 3640800 3701275 3810704 3862200 4008210 4186920 4275424 4333200 4441530 4647200 4737632 4763380 5149600 5233650 5344280 5477887 5582560 5716056 5922040 5954225 6413136 6680350 6970800 6978200 7106448 7145070 7402550 7621408 7724400 8016420 8373840 8666400 8883060 9526760 10020525 10467300 10688560 10955774 11103825 11432112 11844080 11908450 12826272 13360700 13941600 13956400 14212896 14290140 14805100 15448800 16032840 16433661 16747680 17766120 17862675 19053520 20041050 20934600 21377120 21911548 22207650 22864224 23688160 23816900 26721400 27389435 27912800 28580280 29610200 32065680 32867322 35532240 35725350 38107040 40082100 41869200 43823096 44415300 47633800 53442800 54778870 57160560 59220400 64131360 65734644 71064480 71450700 80164200 82168305 83738400 87646192 88830600 95267600 106885600 109557740 114321120 118440800 131469288 136947175 142901400 160328400 164336610 175292384 177661200 190535200 219115480 262938576 273894350 285802800 320656800 328673220 355322400 410841525 438230960 525877152 547788700 571605600 657346440 821683050 876461920 1095577400 1314692880 1643366100 2191154800 2629385760 3286732200 4382309600 6573464400 13146928800
- Sum of all divisors σ(n): 47278473984
- Sum of proper divisors (its aliquot sum) s(n): 34131545184
- 13146928800 is an abundant number, because the sum of its proper divisors (34131545184) is greater than itself. Its abundance is 20984616384
Bases of 13146928800
- Binary: 11000011111001111000110110101000002
- Hexadecimal: 0x30F9E36A0
- Base-36: 61FCB6O
Squares and roots of 13146928800
- 13146928800 squared (131469288002) is 172841736872269440000
- 13146928800 cubed (131469288003) is 2272338008328061022095872000000
-
The
square root of 13146928800 is 114660.0575614717 -
The
cube root of 13146928800 is 2360.1599527707
Scales and comparisons
How big is 13146928800?- 13,146,928,800 seconds is equal to 418 years, 1 week, 4 days, 12 hours, 40 minutes.
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To count from 1 to 13,146,928,800 would take you about eight hundred thirty-six 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 13146928800 cubic inches would be around 196.7 feet tall.
Recreational maths with 13146928800
- 13146928800 backwards is 00882964131
- The number of decimal digits it has is: 11
- The sum of 13146928800's digits is 42
- More coming soon!
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